Yang-Baxter deformations of Minkowski spacetime

We study Yang-Baxter deformations of 4D Minkowski spacetime. The Yang-Baxter sigma model description was originally developed for principal chiral models based on a modified classical Yang-Baxter equation. It has been extended to coset curved spaces and models based on the usual classical Yang-Baxter equation. On the other hand, for flat space, there is the obvious problem that the standard bilinear form degenerates if we employ the familiar coset Poincaré group/Lorentz group. Instead we consider a slice of AdS5 by embedding the 4D Poincaré group into the 4D conformal group SO(2, 4) . With this procedure we obtain metrics and B-fields as Yang-Baxter deformations which correspond to well-known configurations such as T-duals of Melvin backgrounds, Hashimoto-Sethi and Spradlin-Takayanagi-Volovich backgrounds, the T-dual of Grant space, pp-waves, and T-duals of dS4 and AdS4. Finally we consider a deformation with a classical r-matrix of Drinfeld-Jimbo type and explicitly derive the associated metric and B-field which we conjecture to correspond to a new integrable system.

The meaning of informal BMT caregiving

Objectives. The aims of this qualitative descriptive exploratory study were to (1) describe informal caregiver commitment in informal caregiving; (2) describe caregiver expectations in informal caregiving; (3) describe caregiver role negotiation in informal caregiving, (4) identify other important caregiver energy sources; and (5) refine the conceptual model of Informal Caregiving Dynamics based on the study results. ^ Methods. Participants were 40 informal caregivers of blood and marrow transplant patients being treated at a comprehensive cancer center who told their caregiving stories in an audiotaped dialogue. Patients consented to have their caregivers contacted about the study and to have information collected from their medical records. To address the specific aims, the dialogues were analyzed for major elements and themes with an adaptation of the descriptive exploratory method. ^ Findings. Commitment was redefined as enduring caregiver responsibility that inspires life changes to make the patient a priority. Commitment calls caregivers to supportive presence and self-affirming loving connection with the patient. Expectation management was defined as envisioning the future and yearning to return to normal. Expectation management includes taking one day at a time, gauging behavior from past experiences with the patient, and reconciling anticipated to actual treatment twists and turns. Role negotiation was defined as appropriate pushing by the caregiver toward patient recovery and independence after getting a handle on complex care that demands shared responsibilities. Role negotiation happens as caregivers determine action with attention to patient voice and vigilantly bridge communication between patients and the health care system. Three additional energy sources of caring for self, gaining insight, and connecting with others, were identified and added to the model as underpinnings for commitment, expectation, and role negotiation respectively. ^ Discussion and implications. Methods of supporting informal caregivers that deserve investigation include consistent acknowledgment of caregiver contribution to patient care; provision of clear, present-focused information; opportunities to reconcile expectations with outcomes by developing a coherent caregiving story; and encouragement to maintain good health habits while caregiving. Patient contribution to the dynamics of caregiving warrants future research attention as does change in energy sources over time as a caregiver. ^

The Sandinista Revolution and Post-Conflict Development--Key Issues

Following Daniel Ortega's victory in the presidential election held in November 2006, Nicaragua has been undergoing a transition from a democratic to authoritarian system. In the 1980s, Ortega served as President of the Sandinista government and implemented a Cuban-type socialist system, but the system failed and democracy was established during 1990-2007. Considering this failure, why did Ortega succeed in taking power again? This paper provides a brief history of modern Nicaragua and gives some insights into the twists of Latin American politics. The paper was prepared for the international seminar on Helping Failed States Recover: The Role of Business in Promoting Stability and Development, organized by the University of Kansas Center for International Business Education and Research (CIBER), held on April 4-6, 2007 in Lawrence. The opinions and views expressed herein are those of the author. All mistakes and/or errors are entirely the author's responsibility.

The photoisomerization of retinal in bacteriorhodopsin: Experimental evidence for a three-state model

The primary events in the all-trans to 13-cis photoisomerization of retinal in bacteriorhodopsin have been investigated with femtosecond time-resolved absorbance spectroscopy. Spectra measured over a broad range extending from 7000 to 22,400 cm−1 reveal features whose dynamics are inconsistent with a model proposed earlier to account for the highly efficient photoisomerization process. Emerging from this work is a new three-state model. Photoexcitation of retinal with visible light accesses a shallow well on the excited state potential energy surface. This well is bounded by a small barrier, arising from an avoided crossing that separates the Franck–Condon region from the nearby reactive region of the photoisomerization coordinate. At ambient temperatures, the reactive region is accessed with a time constant of ≈500 fs, whereupon the retinal rapidly twists and encounters a second avoided crossing region. The protein mediates the passage into the second avoided crossing region and thereby exerts control over the quantum yield for forming 13-cis retinal. The driving force for photoisomerization resides in the retinal, not in the surrounding protein. This view contrasts with an earlier model where photoexcitation was thought to access directly a reactive region of the excited-state potential and thereby drive the retinal to a twisted conformation within 100–200 fs.

Braided m-Lie algebras

Braided m-Lie algebras induced by multiplication are introduced, which generalize Lie algebras, Lie color algebras and quantum Lie algebras. The necessary and sufficient conditions for the braided m-Lie algebras to be strict Jacobi braided Lie algebras are given. Two classes of braided m-Lie algebras are given, which are generalized matrix braided m-Lie algebras and braided m-Lie subalgebras of End(F)M, where M is a Yetter-Drinfeld module over B with dimB < infinity. In particular, generalized classical braided m-Lie algebras sl(q,f)(GM(G)(A),F) and osp(q,l)(GM(G)(A),M,F) of generalized matrix algebra GMG(A) are constructed and their connection with special generalized matrix Lie superalgebra sl(s,f)(GM(Z2)(A(s)),F) and orthosymplectic generalized matrix Lie super algebra osp(s,l) (GM(Z2)(A(s)),M-s,F) are established. The relationship between representations of braided m-Lie algebras and their associated algebras are established.

Some twisted results

The Drinfeld twist for the opposite quasi-Hopf algebra, H-COP, is determined and is shown to be related to the (second) Drinfeld twist on a quasi-Hopf algebra. The twisted form of the Drinfeld twist is investigated. In the quasi-triangular case, it is shown that the Drinfeld u-operator arises from the equivalence of H-COP to the quasi-Hopf algebra induced by twisting H with the R-matrix. The Altschuler-Coste u-operator arises in a similar way and is shown to be closely related to the Drinfeld u-operator. The quasi-cocycle condition is introduced and is shown to play a central role in the uniqueness of twisted structures on quasi-Hopf algebras. A generalization of the dynamical quantum Yang-Baxter equation, called the quasi-dynamical quantum Yang-Baxter equation, is introduced.

La voz del otro: rompiendo con la tradición del museo

Existe una actitud predominante en el mundo de los museos según la cual las diversas culturas se presentan y se respetan de manera adecuada, dándose un diálogo efectivo entre los museos y las comunidades culturales a las que sirven. Sin embargo, el presente trabajo disiente de dicha creencia, expone sus motivos, y sugiere una trayectoria por la que los museos pueden acercarse con éxito a tales objetivos. Lo que está en juego aquí es el ethos contemporáneo e histórico de los museos y su concepto de la identidad propia, lo que interfiere con su capacidad para incluir a “los otros”, excepto en sus propios términos. El propósito del museo en este sentido es mantener su voz preeminente y su prerrogativa intelectual en sus comunicaciones con el público al que sirve. La idea de que hay múltiples voces que necesitan ser escuchadas no es un concepto fácil de contemplar para los museos, y un paso positivo en aquella dirección representaría un cambio importante con consecuencias de largo alcance.

Formation of helical ion chains

We study the nonequilibrium dynamics of the linear to zigzag structural phase transition exhibited by an ion chain confined in a trap with periodic boundary conditions. The transition is driven by reducing the transverse confinement at a finite quench rate, which can be accurately controlled. This results in the formation of zigzag domains oriented along different transverse planes. The twists between different domains can be stabilized by the topology of the trap and under laser cooling the system has a chance to relax to a helical chain with nonzero winding number. Molecular dynamics simulations are used to obtain a large sample of possible trajectories for different quench rates. The scaling of the average winding number with different quench rates is compared to the prediction of the Kibble-Zurek theory, and a good quantitative agreement is found.

Severus Snape : The Complexity and Unconventional Heroism of Severus Snape in the Harry Potter Books

Being an evildoer and being evil is not always the same thing; author J.K Rowling’s character Professor Severus Snape from the Harry Potter series is balancing on that very line. Although being unfair and mean to the protagonist Harry Potter all through the series, Professor Snape is revealed as a hero in the seventh book Harry Potter and the Deathly Hallows (2007). This essay focuses on some of the complex psychological reasons as to why Snape acts the way he does towards Harry and why many readers consider him to be just as great a hero as the protagonist. It argues that his difficult upbringing is the cause of his complexity and the series of books are analyzed from a structuralist perspective, using A.J Greimas’ actantial model and Frank Kermode’s theories about endings and plot twists. Snape’s hate for Harry’s father, caused by years of bullying, is examined as well as his love for Harry’s mother. This essay also discusses in what ways Snape’s change of allegiance, brought on by his eternal love for Harry’s mother, is a great aid in defeating the Dark Lord.

The D(D-3)-anyon chain: integrable boundary conditions and excitation spectra

Chains of interacting non-Abelian anyons with local interactions invariant under the action of the Drinfeld double of the dihedral group D-3 are constructed. Formulated as a spin chain the Hamiltonians are generated from commuting transfer matrices of an integrable vertex model for periodic and braided as well as open boundaries. A different anyonic model with the same local Hamiltonian is obtained within the fusion path formulation. This model is shown to be related to an integrable fusion interaction round the face model. Bulk and surface properties of the anyon chain are computed from the Bethe equations for the spin chain. The low-energy effective theories and operator content of the models (in both the spin chain and fusion path formulation) are identified from analytical and numerical studies of the finite-size spectra. For all boundary conditions considered the continuum theory is found to be a product of two conformal field theories. Depending on the coupling constants the factors can be a Z(4) parafermion or a M-(5,M-6) minimal model.