NT=4 equivariant extension of the 3D topological model of Blau and Thompson
Bodo Geyer,Dietmar Mülsch +1 more
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In this paper, the Blau-Thompson N T = 2, D = 3 non-equivariant topological model, obtained through the so-called "novel twist of N = 4,D = 3 super-Yang-Mills theory, is extended to a topological theory.About:
This article is published in Nuclear Physics.The article was published on 2001-11-26 and is currently open access. It has received 25 citations till now. The article focuses on the topics: Topological algebra & Topological quantum number.read more
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Exact extended supersymmetry on a lattice: Twisted N=2 super-Yang–Mills in two dimensions
A. D'Adda,Issaku Kanamori,Issaku Kanamori,Noboru Kawamoto,Noboru Kawamoto,Kazuhiro Nagata,Kazuhiro Nagata +6 more
TL;DR: In this article, a lattice action for two-dimensional super-Yang-Mills theory with a twisted N = 2 supersymmetry is proposed, where odd Grassmann variables, supercharges and fermionic connections sit.
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Twisted supersymmetric gauge theories and orbifold lattices
TL;DR: In this paper, the relation between twisted versions of the extended supersymmetric gauge theories and supersymmymmetric orbifold lattices was examined, and it was shown that the curvature of the lattice can be twisted in terms of the twisted Lorentz group.
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N=4 twisted superspace from Dirac–Kähler twist and off-shell SUSY invariant actions in four dimensions
TL;DR: In this article, a superconnection formalism for the twisted superspace and constraints play a crucial role in the construction of the twisted superalgebras obtained by a Dirac-Kahler twist is presented.
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An $$ \mathcal{N}=1 $$ 3d-3d correspondence
TL;DR: In this article, a 3d-3d correspondence between the Witten index and the S3-partition function of a super-BF-model coupled to a spinorial hypermultiplet (BFH) on an associative three-cycle manifold was proposed.
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Twisted supersymmetric invariant formulation of Chern-Simons gauge theory on a lattice
Kazuhiro Nagata,Yong-Shi Wu +1 more
TL;DR: In this paper, a twisted supersymmetric (SUSY) invariant formulation of the Chern-Simons theory on a Euclidean three-dimensional lattice is proposed.
References
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The Large N limit of superconformal field theories and supergravity
TL;DR: In this article, it was shown that the large-N limits of certain conformal field theories in various dimensions include in their Hilbert space a sector describing supergravityon the product of anti-de Sitter spacetimes, spheres, and other compact manifolds.
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Quantum field theory and the Jones polynomial
TL;DR: In this paper, it was shown that 2+1 dimensional quantum Yang-Mills theory with an action consisting purely of the Chern-Simons term is exactly soluble and gave a natural framework for understanding the Jones polynomial of knot theory in three dimensional terms.
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(2+1)-Dimensional Gravity as an Exactly Soluble System
TL;DR: By disentangling the hamiltonian constraint equations, 2 + 1 dimensional gravity (with or without a cosmological constant) is shown to be exactly soluble at the classical and quantum levels.
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Topological quantum field theory
TL;DR: A twisted version of four dimensional supersymmetric gauge theory is formulated in this paper, which refines a nonrelativistic treatment by Atiyah and appears to underlie many recent developments in topology of low dimensional manifolds; the Donaldson polynomial invariants of four manifolds and the Floer groups of three manifolds appear naturally.
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Constraints on Supersymmetry Breaking
TL;DR: In this paper, some nonperturbative constraints on supersymmetry breaking are derived and it is demonstrated that dynamical supersymmetric breaking does not occur in certain interesting classes of theories.