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111,446
ChernSimons Gauge Theory as a String Theory
, 2003
"... Certain two dimensional topological field theories can be interpreted as string theory backgrounds in which the usual decoupling of ghosts and matter does not hold. Like ordinary string models, these can sometimes be given spacetime interpretations. For instance, threedimensional ChernSimons gaug ..."
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Cited by 551 (14 self)
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Certain two dimensional topological field theories can be interpreted as string theory backgrounds in which the usual decoupling of ghosts and matter does not hold. Like ordinary string models, these can sometimes be given spacetime interpretations. For instance, threedimensional ChernSimons
Chern–Simons Perturbation Theory
 II,” J. Diff. Geom
, 1994
"... Abstract. We study the perturbation theory for three dimensional Chern–Simons quantum field theory on a general compact three manifold without boundary. We show that after a simple change of variables, the action obtained by BRS gauge fixing in the Lorentz gauge has a superspace formulation. The bas ..."
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Cited by 170 (2 self)
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Abstract. We study the perturbation theory for three dimensional Chern–Simons quantum field theory on a general compact three manifold without boundary. We show that after a simple change of variables, the action obtained by BRS gauge fixing in the Lorentz gauge has a superspace formulation
KodairaSpencer theory of gravity and exact results for quantum string amplitudes
 Commun. Math. Phys
, 1994
"... We develop techniques to compute higher loop string amplitudes for twisted N = 2 theories with ĉ = 3 (i.e. the critical case). An important ingredient is the discovery of an anomaly at every genus in decoupling of BRST trivial states, captured to all orders by a master anomaly equation. In a particu ..."
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Cited by 545 (60 self)
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particular realization of the N = 2 theories, the resulting string field theory is equivalent to a topological theory in six dimensions, the Kodaira– Spencer theory, which may be viewed as the closed string analog of the Chern–Simon theory. Using the mirror map this leads to computation of the ‘number
Quantum Gravity
, 2004
"... We describe the basic assumptions and key results of loop quantum gravity, which is a background independent approach to quantum gravity. The emphasis is on the basic physical principles and how one deduces predictions from them, at a level suitable for physicists in other areas such as string theor ..."
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Cited by 566 (11 self)
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We describe the basic assumptions and key results of loop quantum gravity, which is a background independent approach to quantum gravity. The emphasis is on the basic physical principles and how one deduces predictions from them, at a level suitable for physicists in other areas such as string
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
Mirror Manifolds and Topological Field Theory
 in Essays on Mirror Manifolds (ed. S.T. Yau), International Press, Hong Kong
, 1992
"... In N = 4 super YangMills theory on a fourmanifold M, one can specify a discrete magnetic flux valued in H2 (M,ZN). This flux is encoded in the AdS/CFT correspondence in terms of a fivedimensional topological field theory with ChernSimons action. A similar topological field theory in seven dimens ..."
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Cited by 385 (14 self)
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In N = 4 super YangMills theory on a fourmanifold M, one can specify a discrete magnetic flux valued in H2 (M,ZN). This flux is encoded in the AdS/CFT correspondence in terms of a fivedimensional topological field theory with ChernSimons action. A similar topological field theory in seven
SelfDual ChernSimons Theories
, 1995
"... In these lectures I review classical aspects of the selfdual ChernSimons systems which describe charged scalar fields in 2 + 1 dimensions coupled to a gauge field whose dynamics is provided by a pure ChernSimons Lagrangian. These selfdual models have one realization with nonrelativistic dynamics ..."
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Cited by 118 (4 self)
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In these lectures I review classical aspects of the selfdual ChernSimons systems which describe charged scalar fields in 2 + 1 dimensions coupled to a gauge field whose dynamics is provided by a pure ChernSimons Lagrangian. These selfdual models have one realization with nonrelativistic
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
Anyonic states in ChernSimons theory
"... We discuss the canonical quantization of ChernSimons theory in 2+1 dimensions, minimally coupled to a Dirac spinor field, first in the temporal gauge and then in the Coulomb gauge. In our temporal gauge formulation, Gauss’s law and the gauge condition, A0 = 0, are implemented by embedding the formu ..."
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Cited by 2 (2 self)
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We discuss the canonical quantization of ChernSimons theory in 2+1 dimensions, minimally coupled to a Dirac spinor field, first in the temporal gauge and then in the Coulomb gauge. In our temporal gauge formulation, Gauss’s law and the gauge condition, A0 = 0, are implemented by embedding
Results 1  10
of
111,446