Applications of Quantum Field Theory, From the Formal to the Phenomenological

Thesis (Ph.D.)--University of Washington, 2016-06

Stereocontrol in complexes of cyclam-like macrocycles - influences of chirality

Enforcement of chirality upon a macrocyclic tetramine ligand structure by the introduction of an asymmetric pendent arm which does not significantly modify the macrocycle conformation has no significant effect upon the geometry of the coordination sphere of a bound metal. Where substitution engendering chirality does cause a change in the ligand conformation, in particular for a ligand of restricted stereochemistry, these effects can be much greater. Thus, conversion of 3,7-diazacycloheptane to a macrocycle via attachment of chiral sidearms and ring closure through a template reaction leads to cyclam derivatives with unusual coordination properties. (C) 2004 Elsevier Ltd. All rights reserved.

Novel one-dimensional structures and solution behaviour of copper(II) bromide and chloride complexes of a new pentapyridyldiamine ligand

Copper(II) bromide and chloride complexes of the new heptadentate ligand 2,6-bis(bis(2-pyridylmethyl)amino)methylpyridine (L) have been prepared. For the bromide complexes, chains of novel, approximately C-2-symmetric, chiral [Cu-2(L)Br-2](2+) 'wedge-shaped' tectons are found. The links between the dicopper tectons and the overall chirality and packing of the chains are dictated by the bromide ion content, not the counter anion. In contrast, the chloride complexes exhibit linked asymmetric [Cu-2(L)Cl-3](+) tectons with distinct N3CuCl2 and N4CuCl2 centres in the solid. The overall structures of the dicopper bromide and chloride units persist in solution irrespective of the halide. The redox chemistry of the various species is also described.

Rugulotrosins A and B: Two new antibacterial metabolites from an Australian isolate of a penicillium sp.

Two new antibacterial agents, rugulotrosin A (1) and B (2), were obtained from cultures of a Penicillium sp. isolated from soil samples acquired near Sussex Inlet, New South Wales, Australia. Rugulotrosin A (1) is a chiral symmetric dimer, and its relative stereostructure was determined by spectroscopic and X-ray crystallographic analysis. Rugulotrosin B (2) is a chiral asymmetric dimer isomeric with 1. Its structure was determined by spectroscopic analysis with comparison to the co-metabolite 1 and previously reported fungal metabolites. Both rugulotrosins A and B displayed significant antibacterial activity against Bacillus subtilis, while rugulotrosin A was also strongly active against Enterococcus faecalis and B. cereus.

The Bazhanov-Stroganov model from 3D approach

We apply a three-dimensional approach to describe a new parametrization of the L-operators for the two-dimensional Bazhanov-Stroganov (BS) integrable spin model related to the chiral Potts model. This parametrization is based on the solution of the associated classical discrete integrable system. Using a three-dimensional vertex satisfying a modified tetrahedron equation, we construct an operator which generalizes the BS quantum intertwining matrix S. This operator describes the isospectral deformations of the integrable BS model.

Flexible synthesis of enantiomerically pure 2,8-dialkyl-1,7-dioxaspiro[5.5]undecanes and 2,7-dialkyl-1,6-dioxaspiro[4.5]decanes from propargylic and homopropargylic alcohols

A new approach to enantiomerically pure 2,8-dialkyl-1,7-dioxaspiro[5.5]undecanes and 2,7-dialkyl-1,6-dioxaspiro [4.5] decanes is described and utilizes enantiomerically pure homopropargylic alcohols obtained from lithium acetylide opening of enantiomerically pure epoxides, which are, in turn, acquired by hydrolytic kinetic resolution of the corresponding racemic epoxides. Alkyne carboxylation and conversion to the Weinreb amide may be followed by triple-bond manipulation prior to reaction with a second alkynyllithium derived from a homo- or propargylic alcohol. In this way, the two ring components of the spiroacetal are individually constructed, with deprotection and cyclization affording the spiroacetal. The procedure is illustrated by acquisition of (2S,5R,7S) and (2R,5R,7S)-2-n-butyl-7-methyl-1,6-dioxaspiro[4.5]-decanes (1), (2S,6R,8S)-2-methyl-8-n-pentyl-1,7-dioxaspiro[5.5]undecane (2), and (2S,6R,8S)-2-methyl-8-n-propyl-1,7-dioxaspiro[5.5]undecane (3). The widely distributed insect component, (2S,6R,8S)-2,8-dimethyl-1,7-dioxaspiro[5.5]undecane (4), was acquired by linking two identical alkyne precursors via ethyl formate. In addition, [H-2(4)]-regioisomers, 10,10,11,11-[H-2(4)] and 4,4,5,5-[H-2(4)] of 3 and 4,4,5,5-[H-2(4)]-4, were acquired by triple-bond deuteration, using deuterium gas and Wilkinson's catalyst. This alkyne-based approach is, in principle, applicable to more complex spiroacetal systems not only by use of more elaborate alkynes but also by triple-bond functionalization during the general sequence.

Azedaralide: total synthesis, relative and absolute stereochemical assignment

Azedaralide, a potentially advanced intermediate for the total synthesis of various tetranortriterpenes, was constructed utilising the Fernandez-Mateos protocol and assigned both relative and absolute stereochemistries. Both asymmetric aldol and classical chiral resolution attempts failed to deliver pure enantiomers whereas preparative chiral chromatography resolved racemic azedaralide with ease. (c) 2006 Elsevier Ltd. All rights reserved.

Carbohydrate-based scaffolds in drug discovery

Carbohydrates have been proven as valuable scaffolds to display pharmocophores and the resulting molecules have demonstrated useful biological activity towards various targets including the somatostatin receptors (SSTR), integrins, HIV-1 protease, matrix metalloproteinases (MMP), multidrug resistance-associated protein (MRP), and as RNA binders. Carbohydrate-based compounds have also shown antibacterial and herbicidal activity.

Dual-symmetric Lagrangians in quantum electrodynamics: I. Conservation laws and multi-polar coupling

By using a complex field with a symmetric combination of electric and magnetic fields, a first-order covariant Lagrangian for Maxwell's equations is obtained, similar to the Lagrangian for the Dirac equation. This leads to a dual-symmetric quantum electrodynamic theory with an infinite set of local conservation laws. The dual symmetry is shown to correspond to a helical phase, conjugate to the conserved helicity. There is also a scaling symmetry, conjugate to the conserved entanglement. The results include a novel form of the photonic wavefunction, with a well-defined helicity number operator conjugate to the chiral phase, related to the fundamental dual symmetry. Interactions with charged particles can also be included. Transformations from minimal coupling to multi-polar or more general forms of coupling are particularly straightforward using this technique. The dual-symmetric version of quantum electrodynamics derived here has potential applications to nonlinear quantum optics and cavity quantum electrodynamics.

Studies on Wilson loops, correlators and localization in supersymmetric quantum field theories

In this thesis we study at perturbative level correlation functions of Wilson loops (and local operators) and their relations to localization, integrability and other quantities of interest as the cusp anomalous dimension and the Bremsstrahlung function. First of all we consider a general class of 1/8 BPS Wilson loops and chiral primaries in N=4 Super Yang-Mills theory. We perform explicit two-loop computations, for some particular but still rather general configuration, that confirm the elegant results expected from localization procedure. We find notably full consistency with the multi-matrix model averages, obtained from 2D Yang-Mills theory on the sphere, when interacting diagrams do not cancel and contribute non-trivially to the final answer. We also discuss the near BPS expansion of the generalized cusp anomalous dimension with L units of R-charge. Integrability provides an exact solution, obtained by solving a general TBA equation in the appropriate limit: we propose here an alternative method based on supersymmetric localization. The basic idea is to relate the computation to the vacuum expectation value of certain 1/8 BPS Wilson loops with local operator insertions along the contour. Also these observables localize on a two-dimensional gauge theory on S^2, opening the possibility of exact calculations. As a test of our proposal, we reproduce the leading Luscher correction at weak coupling to the generalized cusp anomalous dimension. This result is also checked against a genuine Feynman diagram approach in N=4 super Yang-Mills theory. Finally we study the cusp anomalous dimension in N=6 ABJ(M) theory, identifying a scaling limit in which the ladder diagrams dominate. The resummation is encoded into a Bethe-Salpeter equation that is mapped to a Schroedinger problem, exactly solvable due to the surprising supersymmetry of the effective Hamiltonian. In the ABJ case the solution implies the diagonalization of the U(N) and U(M) building blocks, suggesting the existence of two independent cusp anomalous dimensions and an unexpected exponentation structure for the related Wilson loops.

Synthesis, crystallography and biological activity of myo-inositol phosphates

The antioxidant property of myo-inositol hexakisphosphate is important in the prevention of hydroxyl radical formation which may allow it to act as a 'safe' carrier of iron within the cell. Here, the hypothesis that the recently discovered natural product, myo-inositol 1,2,3-trisphosphate represents the simplest structure to mimic phytate's antioxidant activity has been tested. The first synthesis of myo-inositol 1,2,3-trisphosphate has been completed, along with its X-ray structure determination and that of key synthetic intermediates. Iron binding studies of myo-inositol 1,2,3-trisphosphate demonstrated that phosphate groups with the equatorial-axial-equatorial conformation are required for complete inhibition of hydroxyl radical formation. myo-Inositol monophosphatase is a key enzyme in recycling myo-inositol from its monophosphates in the brain and its inhibition is implicated in lithium's antimanic properties. Current synthetic strategies require inositol compounds to be protected (often with more than one group), resolved, phosphorylated and deprotected to produce the desired optically active myo-inositol phosphates. Here, the synthesis of myo-inositol 3-phosphate has been achieved in only 4 steps from myo-inositol. The stereoselective addition of the chiral phosphorylating agent (2R,4S,5R)-2-chloro-3,4-dimethyl-5-phenyl-1,3,2-oxazaphospholidin-2-one to a protected inositol intermediate allowed separation of diastereoisomers and easy deprotection to myo-inositol 3-phosphate. This strategy also allows the possible introduction of labels of oxygen and sulphur to give a thiophosphate of known stereochemistry at phosphorus which would be useful for the analysis of the stereochemical course of phosphate hydrolysis catalysed by inositol monophosphatase.

Non-classical inhibitors of dihydrofolate reductase

This thesis comprises two main objectives. The first objective involved the stereochemical studies of chiral 4,6-diamino-1-aryl-1,2-dihydro-s-triazines and an investigation on how the different conformations of these stereoisomers may affect their binding affinity to the enzyme dihydrofolate reductase (DHFR). The ortho-substituted 1-aryl-1,2-dihydro-s-triazines were synthesised by the three component method. An ortho-substitution at the C6' position was observed when meta-azidocycloguanil was decomposed in acid. The ortho-substituent restricts free rotation and this gives rise to atropisomerism. Ortho-substituted 4,6-diamino-1-aryl-2-ethyl-1,2-dihydro-2-methyl-s-triazine contains two elements of chirality and therefore exists as four stereoisomers: (S,aR), (R,aS), (R,aR) and (S,aS). The energy barriers to rotation of these compounds were calculated by a semi-empirical molecular orbital program called MOPAC and they were found to be in excess of 23 kcal/mol. The diastereoisomers were resolved and enriched by C18 reversed phase h.p.l.c. Nuclear overhauser effect experiments revealed that (S,aR) and (R,aS) were the more stable pair of stereoisomers and therefore existed as the major component. The minor diastereoisomers showed greater binding affinity for the rat liver DHFR in in vitro assay. The second objective entailed the investigation into the possibility of retaining DHFR inhibitory activity by replacing the classical diamino heterocyclic moiety with an amidinyl group. 4-Benzylamino-3-nitro-N,N-dimethyl-phenylamidine was synthesised in two steps. One of the two phenylamidines indicated weak inhibition against the rat liver DHFR. This weak activity may be due to the failure of the inhibitor molecule to form strong hydrogen bonds with residue Glu-30 at the active site of the enzyme.

Fundamental investigations of enantioselective heterogeneous catalysis

Enantioselective catalysis is an increasingly important method of providing enantiomeric compounds for the pharmaceutical and agrochemical industries. To date, heterogeneous catalysts have failed to match the industrial impact achieved by homogeneous systems. One successful approach to the creation of heterogeneous enantioselective catalysts has involved the modification of conventional metal particle catalysts by the adsorption of chiral molecules. This article examines the contribution of effects such as chiral recognition and amplification to these types of system and how insight provided by surface science model studies may be exploited in the design of more effective catalysts.

Synthesis and characterization of silica-supported L-Lysine-based dendritic branches

Two series of novel modified silicas have been prepared in which individual dendritic branches have been attached to aminopropylsilica using standard peptide coupling methodology. The dendritic branches are composed of enantiomerically pure l-lysine building blocks, and hence, the modified silicas have the potential to act as chiral stationary phases in chromatography. In one series of modified silicas, the surface of the dendritic branch consists of Boc carbamate groups, whereas the other has benzoyl amide surface groups. Different coupling reagents have been investigated in order to maximize the loading onto the solid phase. The new supported dendritic materials have been fully characterized with properties of the bulk material determined by elemental analysis, 13C NMR, and IR spectroscopy, whereas XPS provides important information about the surface of the modified silica exposed to the incident X-rays, the key region in which potential chromatographic performance of these materials will take place. Although the bulk analyses indicate that loading of the dendritic branch onto silica decreases with increasing dendritic generation (and consequently steric bulk), XPS indicates that the optimum surface coverage is actually obtained at the second generation of dendritic growth.

What one hand giveth the other taketh away:some unpredicted effects of enantiomers in psychopharmacology

It is well known that many medicines are a mixture of two enantiomers, or mirror-image molecules. Two enantiomers occur when a molecule has a single chiral centre and the two mirror images, called S or L (left handed) and R or D (right handed), are usually found in equal amounts in the parent (racemic) mixture. While for many compounds used in clinical practice the active moiety is found in one of the two enantiomers with the other being seen as an unnecessary and redundant component of the racemic mixture, the difference between enantiomers can mean a difference between therapeutic and adverse effects, as well as in beneficial pharmacological effect and potency. © 2010 The Author(s).