scholarly journals On Relationships among Chern-Simons Theory, BF Theory and Matrix Model

2008 ◽  
Vol 119 (5) ◽  
pp. 863-882 ◽  
Author(s):  
T. Ishii ◽  
G. Ishiki ◽  
K. Ohta ◽  
S. Shimasaki ◽  
A. Tsuchiya
Keyword(s):  
Matrix Model ◽  
Simons Theory ◽  
Bf Theory ◽  
Chern Simons ◽  
Chern Simons Theory

scholarly journals Chern-Simons theory on Seifert manifold and matrix model

2019 ◽  
Vol 100 (12) ◽  
Author(s):  
Arghya Chattopadhyay ◽  
Suvankar Dutta ◽  
Neetu
Keyword(s):  
Matrix Model ◽  
Simons Theory ◽  
Seifert Manifold ◽  
Chern Simons ◽  
Chern Simons Theory

scholarly journals Exact Computations in Topological Abelian Chern-Simons and BF Theories

2017 ◽  
Vol 2017 ◽  
pp. 1-6
Author(s):  
Philippe Mathieu
Keyword(s):  
Simons Theory ◽  
Partition Functions ◽  
Topological Invariants ◽  
Deligne Cohomology ◽  
Functional Integrals ◽  
Fibre Bundles ◽  
Bf Theory ◽  
Chern Simons ◽  
Chern Simons Theory

We introduce Deligne cohomology that classifies U1 fibre bundles over 3 manifolds endowed with connections. We show how the structure of Deligne cohomology classes provides a way to perform exact (nonperturbative) computations in U1 Chern-Simons theory (BF theory, resp.) at the level of functional integrals. The partition functions (and observables) of these theories are strongly related to topological invariants well known to the mathematicians.

scholarly journals Matrix model and Chern–Simons theory

2001 ◽  
Vol 505 (1-4) ◽  
pp. 243-248 ◽  
Author(s):  
J. Klusoň
Keyword(s):  
Matrix Model ◽  
Simons Theory ◽  
Chern Simons ◽  
Chern Simons Theory

scholarly journals Matrix model as a mirror of Chern-Simons theory

2004 ◽  
Vol 2004 (02) ◽  
pp. 010-010 ◽  
Author(s):  
Mina Aganagic ◽  
Albrecht Klemm ◽  
Marcos Marino ◽  
Cumrun Vafa
Keyword(s):  
Matrix Model ◽  
Simons Theory ◽  
Chern Simons ◽  
Chern Simons Theory

scholarly journals Topological holography: The example of the D2-D4 brane system

2020 ◽  
Vol 9 (2) ◽  
Author(s):  
Nafiz Ishtiaque ◽  
Seyed Faroogh Moosavian ◽  
Yehao Zhou
Keyword(s):  
String Theory ◽  
Topological String ◽  
Closed String ◽  
Simons Theory ◽  
Topological String Theory ◽  
One Dimensional ◽  
Bf Theory ◽  
World Volume ◽  
Chern Simons ◽  
Chern Simons Theory

We propose a toy model for holographic duality. The model is constructed by embedding a stack of NN D2-branes and KK D4-branes (with one dimensional intersection) in a 6d topological string theory. The world-volume theory on the D2-branes (resp. D4-branes) is 2d BF theory (resp. 4D Chern-Simons theory) with \mathrm{GL}_NGLN (resp. \mathrm{GL}_KGLK) gauge group. We propose that in the large NN limit the BF theory on \mathbb{R}^2ℝ2 is dual to the closed string theory on \mathbb{R}^2 \times \mathbb{R}_+ \times S^3ℝ2×ℝ+×S3 with the Chern-Simons defect on \mathbb{R} \times \mathbb{R}_+ \times S^2ℝ×ℝ+×S2. As a check for the duality we compute the operator algebra in the BF theory, along the D2-D4 intersection – the algebra is the Yangian of \mathfrak{gl}_K𝔤𝔩K. We then compute the same algebra, in the guise of a scattering algebra, using Witten diagrams in the Chern-Simons theory. Our computations of the algebras are exact (valid at all loops). Finally, we propose a physical string theory construction of this duality using D3-D5 brane configuration in type IIB – using supersymmetric twist and \OmegaΩ-deformation.

scholarly journals Edge currents in non-commutative Chern-Simons theory from a new matrix model

2003 ◽  
Vol 2003 (09) ◽  
pp. 007-007 ◽  
Author(s):  
Aiyalam P Balachandran ◽  
Seçkin Kürkçüoglu ◽  
Kumar S Gupta
Keyword(s):  
Matrix Model ◽  
Simons Theory ◽  
Chern Simons ◽  
Chern Simons Theory

Chern-Simons theory for electrons in high Landau levels

1999 ◽  
Vol 09 (PR10) ◽  
pp. Pr10-223-Pr10-225
Author(s):  
S. Scheidl ◽  
B. Rosenow
Keyword(s):  
Landau Levels ◽  
Simons Theory ◽  
Chern Simons ◽  
Chern Simons Theory

scholarly journals Symmetry-resolved entanglement in AdS3/CFT2 coupled to U(1) Chern-Simons theory

2021 ◽  
Vol 2021 (7) ◽  
Author(s):  
Suting Zhao ◽  
Christian Northe ◽  
René Meyer
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Gauge Field ◽  
Wilson Line ◽  
Entanglement Entropy ◽  
Simons Theory ◽  
Two Dimensional ◽  
Conformal Field ◽  
Chern Simons ◽  
Chern Simons Theory

Abstract We consider symmetry-resolved entanglement entropy in AdS3/CFT2 coupled to U(1) Chern-Simons theory. We identify the holographic dual of the charged moments in the two-dimensional conformal field theory as a charged Wilson line in the bulk of AdS3, namely the Ryu-Takayanagi geodesic minimally coupled to the U(1) Chern-Simons gauge field. We identify the holonomy around the Wilson line as the Aharonov-Bohm phases which, in the two-dimensional field theory, are generated by charged U(1) vertex operators inserted at the endpoints of the entangling interval. Furthermore, we devise a new method to calculate the symmetry resolved entanglement entropy by relating the generating function for the charged moments to the amount of charge in the entangling subregion. We calculate the subregion charge from the U(1) Chern-Simons gauge field sourced by the bulk Wilson line. We use our method to derive the symmetry-resolved entanglement entropy for Poincaré patch and global AdS3, as well as for the conical defect geometries. In all three cases, the symmetry resolved entanglement entropy is determined by the length of the Ryu-Takayanagi geodesic and the Chern-Simons level k, and fulfills equipartition of entanglement. The asymptotic symmetry algebra of the bulk theory is of $$ \hat{\mathfrak{u}}{(1)}_k $$ u ̂ 1 k Kac-Moody type. Employing the $$ \hat{\mathfrak{u}}{(1)}_k $$ u ̂ 1 k Kac-Moody symmetry, we confirm our holographic results by a calculation in the dual conformal field theory.

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