Results 71 to 80 of about 42,249 (220)

Wall‐crossing for quasimaps to GIT stack bundles

Journal of the London Mathematical Society, Volume 111, Issue 6, June 2025.
Abstract We define the notion of ε$\epsilon$‐stable quasimaps to a GIT stack bundle, and study the wall‐crossing behavior of the resulting ε$\epsilon$‐quasimap theory as ε$\epsilon$ varies.
Shidhesh Supekar, Hsian‐Hua Tseng
wiley   +1 more source

Measuring Chern–Simons level k by braiding $$SU(2)_k$$ S U ( 2 ) k anyons

European Physical Journal C: Particles and Fields
Chern–Simons theory in application to the quantum computing is actively developing at the present. However, most discussed are the questions of using materials with known parameters and building corresponding quantum gates and algorithms.
Artem Belov, Andrey Morozov
doaj   +1 more source

Supersymmetric Yang-Mills theory as higher Chern-Simons theory

Journal of High Energy Physics, 2017
We observe that the string field theory actions for the topological sigma models describe higher or categorified Chern-Simons theories. These theories yield dynamical equations for connective structures on higher principal bundles.
Christian Sämann, Martin Wolf
doaj   +1 more source

Gauss Law Constraints in Chern-Simons Theory From BRST Quantization [PDF]

, 1996
The physical state condition in the BRST quantization of Chern-Simons field theory is used to derive Gauss law constraints in the presence of Wilson loops, which play an important role in explicitly establishing the connection of Chern-Simons field ...
Alvarez-Gaumé, Bos, Dirac, Elitzur, Gepner, Ginsparg, Guadagnini, Guadagnini, Henneaux, Horne, Kaul, Knizhnik, Kugo, Labastida, Labastida, Labastida, M. Chaichian, Marnelius, Moore, Rozansky, van de Wetering, W.F. Chen, Witten, Z.Y. Zhu   +23 more
core   +4 more sources

The Temperley–Lieb tower and the Weyl algebra

Journal of the London Mathematical Society, Volume 111, Issue 5, May 2025.
Abstract We define a monoidal category W${\mathbf {W}}$ and a closely related 2‐category 2Weyl${\mathbf {2Weyl}}$ using diagrammatic methods. We show that 2Weyl${\mathbf {2Weyl}}$ acts on the category TL:=⨁nTLn−mod$\mathbf {TL}:=\bigoplus _n \operatorname{TL}_n\mathrm{-mod}$ of modules over Temperley–Lieb algebras, with its generating 1‐morphisms ...
Matthew Harper, Peter Samuelson
wiley   +1 more source

Higher dimensional abelian Chern-Simons theories and their link invariants

, 2012
The role played by Deligne-Beilinson cohomology in establishing the relation between Chern-Simons theory and link invariants in dimensions higher than three is investigated.
Brylinski J. L., Calugareanu G., E. Pilon, F. Thuillier, Guadagnini E., Jannsen U., L. Gallot, Pohl W. F., Rolfsen D., Troyanov M., Von Westenholz C.   +10 more
core   +3 more sources

Hurwitz numbers for reflection groups III: Uniform formulae

Journal of the London Mathematical Society, Volume 111, Issue 3, March 2025.
Abstract We give uniform formulae for the number of full reflection factorizations of a parabolic quasi‐Coxeter element in a Weyl group or complex reflection group, generalizing the formula for the genus‐0 Hurwitz numbers. This paper is the culmination of a series of three.
Theo Douvropoulos, Joel Brewster Lewis, Alejandro H. Morales   +2 more
wiley   +1 more source

Embedding three-dimensional bosonization dualities into string theory

Journal of High Energy Physics, 2017
We give simple string theory embeddings of several recently introduced dualities between 2+1-dimensional Chern-Simons matter theories using probe brane holography.
Kristan Jensen, Andreas Karch
doaj   +1 more source

A Vector Non-abelian Chern-Simons Duality [PDF]

, 2001
Abelian Chern-Simons gauge theory is known to possess a `$S$-self-dual' action where its coupling constant $k$ is inverted {\it i.e.} $k \leftrightarrow {1 \over k}$.
A. Giveon, A. Giveon, A. Kapustin, A. Pinzul, A. Shapere, A.P. Balachandran, C. Klimcik, C. Klimčik, C. Klimčik, C. Ramírez, C.A. Lütken, C.A. Lütken, C.P. Burgess, D.-H. Lee, E. Alvarez, E. Alvarez, E. Alvarez, E. Witten, E. Witten, F. Quevedo, G. Moore, H. García-Compeán, H. García-Compeán, H. García-Compeán, H. Gustafsson, J. Maldacena, K. Intriligator, M. Natsuume, M. Roček, N. Mohammedi, O. Ganor, O. Obregón, S. Elitzur, S. Kivelson, S.J. Rey, X.C. de la Ossa, Y. Lozano   +36 more
core   +2 more sources

Double Copy From Tensor Products of Metric BV■‐Algebras

Fortschritte der Physik, Volume 73, Issue 1-2, February 2025.
Abstract Field theories with kinematic Lie algebras, such as field theories featuring color–kinematics duality, possess an underlying algebraic structure known as BV■‐algebra. If, additionally, matter fields are present, this structure is supplemented by a module for the BV■‐algebra.
Leron Borsten, Branislav Jurčo, Hyungrok Kim, Tommaso Macrelli, Christian Saemann, Martin Wolf   +5 more
wiley   +1 more source