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Using the formalism of discrete quantum group gauge theory, one can construct the quantum algebras of observables for the Hamiltonian Chern-Simons model. The resulting moduli algebras provide quantizations of the algebra of functions on the…

q-alg · Mathematics 2008-02-03 Anton Yu. Alekseev , Volker Schomerus

A study of the gauged Wess-Zumino-Witten models is given focusing on the effect of topologically non-trivial configurations of gauge fields. A correlation function is expressed as an integral over a moduli space of holomorphic bundles with…

High Energy Physics - Theory · Physics 2015-06-26 Kentaro Hori

We work through, in detail, the orbifold quantum cohomology, with gravitational descendants, of the stack BG, the point modulo trivial action of a finite group G. We provide a simple description of algebraic structures on the state space of…

Algebraic Geometry · Mathematics 2007-05-23 Tyler J. Jarvis , Takashi Kimura

In this paper, we investigate the twisted $A_{2n}$ sector of class-S theories. Heretofore, the Coulomb branches of such theories have been poorly understood. In this, and a companion paper, we make progress in our understanding of them. In…

High Energy Physics - Theory · Physics 2024-11-27 Jacques Distler , Grant Elliot

Detection in zero degree calorimeters of the correlated forward-backward Coulomb or nuclear dissociation of two colliding nuclei is presented as a practical luminosity monitor in heavy ion colliders. Complementary predictions are given for…

Nuclear Experiment · Physics 2008-11-26 Anthony J. Baltz , Chellis Chasman , Sebastian N. White

We study the logarithmic conformal field theories in which conformal weights are continuous subset of real numbers. A general relation between the correlators consisting of logarithmic fields and those consisting of ordinary conformal…

High Energy Physics - Theory · Physics 2009-10-30 M. Khorrami , A. Aghamohammadi , M. R. Rahimi Tabar

For T an abelian compact Lie group, we give a description of T-equivariant K-theory with complex coefficients in terms of equivariant cohomology. In the appendix we give applications of this by extending results of Chang-Skjelbred and…

Algebraic Topology · Mathematics 2009-03-10 Ioanid Rosu , Allen Knutson

The discrete cocompact subgroups of the 5-dimensional Lie group G_53 are determined up to isomorphism. Each of their group C*-algebras is studied by determining all of its simple infinite dimensional quotient C*-algebras. The K-groups and…

Operator Algebras · Mathematics 2007-05-23 P. Milnes , S. Walters

We employ the protected sphere correlation functions of three-dimensional Super Conformal Field Theories with eight supercharges in order to define a quantization of their Higgs and Coulomb branches of vacua as real phase spaces. We also…

High Energy Physics - Theory · Physics 2023-07-25 Davide Gaiotto

We report about recent progress in computing four-loop massive correlators. The expansion of these correlators in the external momentum leads to vacuum integrals. The calculation of these vacuum integrals can be used to determine Taylor…

High Energy Physics - Phenomenology · Physics 2008-11-26 K. G. Chetyrkin , J. H. Kühn , C. Sturm

Given a vector bundle $A\to M$ we study the geometry of the graded manifolds $T^*[k]A[1]$, including their canonical symplectic structures, compatible Q-structures and Lagrangian Q-submanifolds. We relate these graded objects to classical…

Symplectic Geometry · Mathematics 2022-10-12 Miquel Cueca

A theoretical description of the radial density profile for charged particles with Yukawa interaction in a harmonic trap is described. At strong Coulomb coupling shell structure is observed in both computer simulations and experiments.…

Statistical Mechanics · Physics 2015-05-30 Henning Bruhn , Hanno Kählert , Torben Ott , Michael Bonitz , Jeffrey Wrighton , James Dufty

Using gauge theory, we describe how to construct generalized Kahler geometries with (2,2) two-dimensional supersymmetry, which are analogues of familiar examples like projective spaces and Calabi-Yau manifolds. For special cases, T-dual…

High Energy Physics - Theory · Physics 2018-12-18 João Caldeira , Travis Maxfield , Savdeep Sethi

We present explicit expressions for the correlation functions of interacting fermions in one dimension which are valid for arbitrary system sizes and temperatures. The result applies to a number of very different strongly correlated…

Strongly Correlated Electrons · Physics 2009-10-30 Sebastian Eggert , Ann E. Mattsson , Jari M. Kinaret

We investigate cross-correlations in the tunneling currents through two parallel quantum dots coupled to independent electrodes and gates and interacting via an inter-dot Coulomb interaction. The correlations reveal additional information,…

Mesoscale and Nanoscale Physics · Physics 2008-02-26 Sebastian Haupt , Jasmin Aghassi , Matthias H. Hettler , Gerd Sch"on

We argue that theories with multiple axions generically contain a large number of vacua that can account for the smallness of the cosmological constant. In a theory with N axions, the dominant instantons with charges Q determine the…

High Energy Physics - Theory · Physics 2016-02-03 Thomas C. Bachlechner

A Koszul duality-type correspondence between coderived categories of conilpotent differential graded Lie coalgebras and their Chevalley-Eilenberg differential graded algebras is established. This gives an interpretation of Lie coalgebra…

K-Theory and Homology · Mathematics 2024-11-06 Joseph Chuang , Andrey Lazarev , Yunhe Sheng , Rong Tang

This paper introduces a new class of Cox models for dependent bivariate data. The impact of the covariate on the dependence of the variables is captured through the modification of their copula. Various classes of well known copulas are…

Statistics Theory · Mathematics 2010-07-26 Mohamed Achibi , Michel Broniatowski

Lecture notes. Introduction to the cohomology of algebras, Lie algebras, Lie bialgebras and quantum groups. Contains a new derivation of the classification of classical r-matrices in terms of deformation cohomology, and a calculation of the…

q-alg · Mathematics 2014-05-27 Christian Fronsdal

We compute the quantum cohomology relative to a Lagrangian submanifold in some complete intersections. For quadric hypersurfaces, we also give a full computation of the genus zero open Gromov-Witten invariants.

Symplectic Geometry · Mathematics 2024-02-06 Kai Hugtenburg , Sara B. Tukachinsky
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