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Perturbative ChernSimons Theory on
, 2008
"... Abstract. A U(N) ChernSimons theory on noncommutative R 3 is constructed as a θdeformed field theory. The model is characterized by two symmetries: the BRSTsymmetry and the topological linear vector supersymmetry. It is shown that the theory is finite and θµνindependent at the one loop level and ..."
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Abstract. A U(N) ChernSimons theory on noncommutative R 3 is constructed as a θdeformed field theory. The model is characterized by two symmetries: the BRSTsymmetry and the topological linear vector supersymmetry. It is shown that the theory is finite and θµνindependent at the one loop level
Sources for ChernSimons theories
, 807
"... Abstract The coupling between ChernSimons theories and matter sources defined by branes of different dimensionalities is examined. It is shown that the standard coupling to membranes, such as the one found in supergravity or in string theory, does not operate in the same way for CS theories; the on ..."
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Cited by 3 (3 self)
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Abstract The coupling between ChernSimons theories and matter sources defined by branes of different dimensionalities is examined. It is shown that the standard coupling to membranes, such as the one found in supergravity or in string theory, does not operate in the same way for CS theories
Selfduality and Chern–Simons Theory
, 812
"... Abstract: We propose a relation between the operator of Sduality (of N = 4 super Yang–Mills theory in 3+1D) and a topological theory in one dimension lower. We construct the topological theory by compactifying N = 4 super Yang–Mills on S 1 with an Sduality and Rsymmetry twist. The Sduality twist ..."
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duality twist requires a selfdual coupling constant. We argue that for a sufficiently low rank of the gauge group the threedimensional lowenergy description is a topological theory, which we conjecture to be a pure Chern–Simons theory. This conjecture implies a connection between the action of mirror symmetry
Superconformal ChernSimons Theory
, 2008
"... We study a class of classical solutions of threedimensional N = 6 superconformal ChernSimons theory coupled with U(N)×U(N) bifundamental matter fields. Especially, time evolutions of fuzzy spheres are discussed for both massless and massive cases. For the massive case, there are a variety of solu ..."
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We study a class of classical solutions of threedimensional N = 6 superconformal ChernSimons theory coupled with U(N)×U(N) bifundamental matter fields. Especially, time evolutions of fuzzy spheres are discussed for both massless and massive cases. For the massive case, there are a variety
KÄHLERCHERNSIMONS THEORY
, 1991
"... KählerChernSimons theory describes antiselfdual gauge fields on a fourdimensional Kähler manifold. The phase space is the space of gauge potentials, the symplectic reduction of which by the constraints of antiselfduality leads to the moduli space of antiselfdual instantons. We outline the theo ..."
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KählerChernSimons theory describes antiselfdual gauge fields on a fourdimensional Kähler manifold. The phase space is the space of gauge potentials, the symplectic reduction of which by the constraints of antiselfduality leads to the moduli space of antiselfdual instantons. We outline
Superconformal ChernSimons theories
 JHEP
, 2004
"... We explore the possibilities for constructing Lagrangian descriptions of threedimensional superconformal classical gauge theories that contain a Chern–Simons term, but no kinetic term, for the gauge fields. Classes of such theories with N = 1 and N = 2 supersymmetry are found. However, interacting t ..."
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Cited by 106 (3 self)
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We explore the possibilities for constructing Lagrangian descriptions of threedimensional superconformal classical gauge theories that contain a Chern–Simons term, but no kinetic term, for the gauge fields. Classes of such theories with N = 1 and N = 2 supersymmetry are found. However, interacting
Regularization and Renormalization of ChernSimons Theory ⋆
, 1992
"... The topological field theory most familiar both to physicists and to mathematicians is surely ChernSimons theory. The classical ChernSimons euclidean action, for a principal Gbundle P over an oriented three manifold M, is given by SCS[A] = − ik ..."
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The topological field theory most familiar both to physicists and to mathematicians is surely ChernSimons theory. The classical ChernSimons euclidean action, for a principal Gbundle P over an oriented three manifold M, is given by SCS[A] = − ik
Perturbative ChernSimons Theory
, 1995
"... We present the perturbation theory of the ChernSimons gauge field theory and prove that to second order it indeed gives knot invariants. We identify these invariants and show that in fact we get a previously unknown integral formula for the Arf invariant of a knot, in complete agreement with ear ..."
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Cited by 22 (1 self)
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We present the perturbation theory of the ChernSimons gauge field theory and prove that to second order it indeed gives knot invariants. We identify these invariants and show that in fact we get a previously unknown integral formula for the Arf invariant of a knot, in complete agreement
REMARKS ON CHERNSIMONS THEORY
"... Dedicated to MSRI on its 25 th anniversary Abstract. The classical ChernSimons invariant is the basis for a 3dimensional topological quantum field theory. We describe some of the mathematical structure which has been built around this and other topological field theories. We include, in the introd ..."
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Cited by 12 (0 self)
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Dedicated to MSRI on its 25 th anniversary Abstract. The classical ChernSimons invariant is the basis for a 3dimensional topological quantum field theory. We describe some of the mathematical structure which has been built around this and other topological field theories. We include
Quiver ChernSimons theories and crystals
"... We consider N = 2 quiver ChernSimons theories described by brane tilings, whose moduli spaces are toric CalabiYau 4folds. Simple prescriptions to obtain toric data of the moduli space and a corresponding brane crystal from a brane tiling are proposed. ..."
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Cited by 10 (0 self)
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We consider N = 2 quiver ChernSimons theories described by brane tilings, whose moduli spaces are toric CalabiYau 4folds. Simple prescriptions to obtain toric data of the moduli space and a corresponding brane crystal from a brane tiling are proposed.
Results 1  10
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