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The Chern-Simons membranes and in general the Chern-Simons p-branes moving in $D$-dimensional target space admit an infinite set of secondary constraints. With respect to the Poisson bracket these constraints form a closed algebra which…

高能物理 - 理论 · 物理学 2015-06-26 Raiko P. Zaikov

We study S-dualities in analytically continued SL(2) Chern-Simons theory on a 3-manifold M. By realizing Chern-Simons theory via a compactification of a 6d five-brane theory on M, various objects and symmetries in Chern-Simons theory become…

高能物理 - 理论 · 物理学 2011-06-24 Tudor Dimofte , Sergei Gukov

The chiral bag model offers a dual description of hadron physics in terms of quarks and hadrons in the sense of Cheshire Cat principle. In this work, we find that, within the chiral bag, confinement is likely caused by monopole…

高能物理 - 唯象学 · 物理学 2025-07-10 Fan Lin , Yong-Liang Ma

We study a matrix model obtained by dimensionally reducing Chern-Simon theory on S^3. We find that the matrix integration is decomposed into sectors classified by the representation of SU(2). We show that the N-block sectors reproduce SU(N)…

高能物理 - 理论 · 物理学 2009-02-18 Goro Ishiki , Kazutoshi Ohta , Shinji Shimasaki , Asato Tsuchiya

We analyze the classical and quantum vacua of 2d $\mathcal{N}=(8,8)$ supersymmetric Yang-Mills theory with $SU(N)$ and $U(N)$ gauge group, describing the worldvolume interactions of $N$ parallel D1-branes with flat transverse directions…

高能物理 - 理论 · 物理学 2018-01-17 Murat Koloğlu

We perform a systematic analysis of the D-brane charges associated with string theory realizations of d=3 gauge theories, focusing on the examples of the N=4 supersymmetric U(N)xU(N+M) Yang-Mills theory and the N=3 supersymmetric…

高能物理 - 理论 · 物理学 2010-12-15 Ofer Aharony , Akikazu Hashimoto , Shinji Hirano , Peter Ouyang

We describe various approaches that give matrix descriptions of compactified NS five-branes. As a result, we obtain matrix models for Yang-Mills theories with sixteen supersymmetries in dimensions $2,3,4$ and 5. The equivalence of the…

高能物理 - 理论 · 物理学 2010-02-03 Ori J. Ganor , Savdeep Sethi

We consider Yang-Mills theory with $N{=}1$ super translation group in eleven auxiliary dimensions as the structure group. The gauge theory is defined on a direct product manifold $\Sigma_3\times S^1$, where $\Sigma_3$ is a three-dimensional…

高能物理 - 理论 · 物理学 2016-03-23 Olaf Lechtenfeld , Alexander D. Popov

We develop Coulomb gas pictures of strong and weak coupling regimes of supersymmetric Yang-Mills theory in five and four dimensions. By relating them to the matrix models that arise in Chern-Simons theory, we compute their free energies in…

高能物理 - 理论 · 物理学 2014-02-05 Georgios Giasemidis , Richard J. Szabo , Miguel Tierz

In some models of N=1 supersymmetric SU(M) gauge dynamics (hep-th/9503163 and hep-th/9707244), the tension of a string ending on q external quarks is proportional to sin(pi q/M), q=1,..., M-1. In this paper we calculate the ratios of the…

高能物理 - 理论 · 物理学 2009-11-07 Christopher P. Herzog , Igor R. Klebanov

We present string duals of four dimensional N=2 pure SU(N) SYM theory. The theory is obtained as the low energy limit of D5-branes wrapped on non-trivial two-cycles. Using seven dimensional gauged supergravity and uplifting the result to…

高能物理 - 理论 · 物理学 2009-11-07 F. Bigazzi , A. L. Cotrone , A. Zaffaroni

Based on the gauge-gravity duality, we study the three-dimensional QCD ($\mathrm{QCD}_{3}$) and Chern-Simons theory by constructing the anisotropic black D3-brane solution in IIB supergravity. The deformed bulk geometry is obtained by…

高能物理 - 理论 · 物理学 2022-06-10 Si-wen Li , Sen-kai Luo , Ya-qian Hu

The Chern-Simons (CS) theory in three dimensions with a compact gauge group G is studied. Starting from the BRST quantization of the theory defined in R^3, the values of gauge invariants observables are computed in any closed and orientable…

高能物理 - 理论 · 物理学 2009-09-25 Luigi Pilo

The 't Hooft expansion of SU(N) Chern-Simons theory on $S^3$ is proposed to be exactly dual to the topological closed string theory on the $S^2$ blow up of the conifold geometry. The $B$-field on the $S^2$ has magnitude $Ng_s=\lambda$, the…

高能物理 - 理论 · 物理学 2007-05-23 Rajesh Gopakumar , Cumrun Vafa

In U(1) lattice gauge theory in three spacetime dimensions, the problem of confinement can be studied analytically in a semi-classical approach, in terms of a gas of monopoles with Coulomb-like interactions. In addition, this theory can be…

高能物理 - 格点 · 物理学 2015-01-27 Michele Caselle , Marco Panero , Roberto Pellegrini , Davide Vadacchino

Here we study two important properties of $2+1$ dimensional QCD -- confinement and pseudoscalar glueball spectrum -- with holographic approach. We consider the low energy decoupled geometry of the isotropic non-susy D$2$ brane. We find the…

高能物理 - 理论 · 物理学 2021-03-10 Adrita Chakraborty , Kuntal Nayek

The Chern-Simons theory defined on a 3-dimensional manifold with boundary is written as a two-dimensional field theory defined only on the boundary of the three-manifold. The resulting theory is, essentially, the pullback to the boundary of…

高能物理 - 理论 · 物理学 2011-08-09 Alejandro Gallardo , Merced Montesinos

The title of this article refers to analytic continuation of three-dimensional Chern-Simons gauge theory away from integer values of the usual coupling parameter k, to explore questions such as the volume conjecture, or analytic…

高能物理 - 理论 · 物理学 2010-08-31 Edward Witten

We propose a Lagrangian for the low-energy theory that resides at the (1+1)-dimensional intersection of N semi-infinite M2-branes ending orthogonally on M M5-branes in ${\mathbb R}^{1,2} \times {\mathbb C}^4/{\mathbb Z}_k$ (for arbitrary…

高能物理 - 理论 · 物理学 2016-01-27 Vasilis Niarchos

We investigate how topological entanglement of Chern-Simons theory is captured in a string theoretic realization. Our explorations are motivated by a desire to understand how quantum entanglement of low energy open string degrees of freedom…

高能物理 - 理论 · 物理学 2020-01-08 Veronika E. Hubeny , Roji Pius , Mukund Rangamani