Results 1  10
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24
Lectures on localization and matrix models in Supersymmetric Chern–simons–matter Theories
, 2012
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Nonperturbative effects and the refined topological string
, 2013
"... The partition function of ABJM theory on the threesphere has nonperturbative corrections due to membrane instantons in the Mtheory dual. We show that the full series of membrane instanton corrections is completely determined by the refined topological string on the Calabi–Yau manifold known as lo ..."
Abstract

Cited by 23 (7 self)
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The partition function of ABJM theory on the threesphere has nonperturbative corrections due to membrane instantons in the Mtheory dual. We show that the full series of membrane instanton corrections is completely determined by the refined topological string on the Calabi–Yau manifold known as local P1 × P1, in the Nekrasov–Shatashvili limit. Our result can be interpreted as a firstprinciples derivation of the full series of nonperturbative effects for the closed topological string on this Calabi–Yau background. Based on this, we make a proposal for the nonperturbative free energy of topological strings on general, local Calabi–Yau manifolds.
Instanton Effects in ABJM Theory from Fermi Gas Approach, JHEP 1301 (2013) 158, [arXiv:1211.1251
 Instanton Bound States in ABJM Theory, JHEP 1305 (2013) 054, [arXiv:1301.5184
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Partition Functions of Superconformal ChernSimons Theories from Fermi Gas Approach
, 2014
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From weak to strong coupling in ABJM theory
, 2011
"... The partition function of N = 6 supersymmetric Chern–Simonsmatter theory (known as ABJM theory) on S3, as well as certain Wilson loop observables, are captured by a zero dimensional supermatrix model. This super–matrix model is closely related to a matrix model describing topological Chern–Simons ..."
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Cited by 2 (0 self)
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The partition function of N = 6 supersymmetric Chern–Simonsmatter theory (known as ABJM theory) on S3, as well as certain Wilson loop observables, are captured by a zero dimensional supermatrix model. This super–matrix model is closely related to a matrix model describing topological Chern–Simons theory on a lens space. We explore further these recent observations and extract more exact results in ABJM theory from the matrix model. In particular we calculate the planar free energy, which matches at strong coupling the classical IIA supergravity action on AdS4 ×CP3 and gives the correct N3/2 scaling for the number of degrees of freedom of the M2 brane theory. Furthermore we find contributions coming from worldsheet instanton corrections in CP3. We also calculate nonplanar corrections, both to the free energy and to the Wilson loop expectation values. This matrix model appears also in the study of topological strings on a toric Calabi–Yau manifold, and an intriguing connection arises between the space of couplings of the planar ABJM theory and the moduli space of this Calabi–Yau. In particular it suggests that, in addition to the usual perturbative and strong coupling (AdS) expansions, a third natural expansion locus is the line where one of the two ’t Hooft couplings vanishes and the other is finite. This is the conifold locus of the Calabi–Yau, and leads to an expansion around topological Chern–Simons theory. We present some explicit results for the partition function and Wilson loop observables around this locus.
Topological strings and . . .
, 2003
"... We consider the topological Bmodel on local CalabiYau geometries. We show how one can solve for the amplitudes by using Walgebra symmetries which encodes the symmetries of holomorphic diffeomorphisms of the CalabiYau. In the highly effective fermionic/brane formulation this leads to a free fermi ..."
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We consider the topological Bmodel on local CalabiYau geometries. We show how one can solve for the amplitudes by using Walgebra symmetries which encodes the symmetries of holomorphic diffeomorphisms of the CalabiYau. In the highly effective fermionic/brane formulation this leads to a free fermion description of the amplitudes. Furthermore we argue that topological strings on CalabiYau geometries provide a unifying picture connecting noncritical (super)strings, integrable hierarchies, and various matrix models. In particular we show how the ordinary matrix model, the double scaling limit of matrix models, and Kontsevichlike matrix model are all related and arise from studying branes in specific local CalabiYau threefolds. We also show how Amodel topological string on P1 and local toric threefolds (and in particular the topological vertex) can be realized and solved as Bmodel topological string amplitudes on a CalabiYau manifold.