Results 1  10
of
10
Advertising content
 American Economic Review
, 2006
"... This report is preliminary and has not been reviewed for conformity with U.S. Geological Survey editorial standards (or with the North American Stratigraphic Code). Any use of trade, product, or firm names is for descriptive purposes only and does not imply endorsement by the U.S. Government. ..."
Abstract

Cited by 27 (2 self)
 Add to MetaCart
(Show Context)
This report is preliminary and has not been reviewed for conformity with U.S. Geological Survey editorial standards (or with the North American Stratigraphic Code). Any use of trade, product, or firm names is for descriptive purposes only and does not imply endorsement by the U.S. Government.
Partition Functions of Superconformal ChernSimons Theories from Fermi Gas Approach
, 2014
"... ..."
Disclaimer: layout of this document may differ from the published version.
"... The partition function on the threesphere of N = 3 ChernSimonsmatter theories can be formulated in terms of an ideal Fermi gas. In this paper we show that, in theories with N = 2 supersymmetry, the partition function corresponds to a gas of interacting fermions in one dimension. The large N limit ..."
Abstract
 Add to MetaCart
(Show Context)
The partition function on the threesphere of N = 3 ChernSimonsmatter theories can be formulated in terms of an ideal Fermi gas. In this paper we show that, in theories with N = 2 supersymmetry, the partition function corresponds to a gas of interacting fermions in one dimension. The large N limit is the thermodynamic limit of the gas and it can be analyzed with the Hartree and ThomasFermi approximations, which lead to the known large N solutions of these models. We use this interacting fermion picture to analyze in detail N = 2 theories with one single node. In the case of theories with no longrange forces we incorporate exchange effects and argue that the partition function is given by an Airy function, as in N = 3 theories. For the theory with g adjoint superfields and longrange forces, the ThomasFermi approximation leads to an integral equation which determines the large N, strongly coupled Rcharge
Z Extremization in ChiralLike Chern Simons
"... Abstract: We study the localized free energy on S3 of threedimensional N = 2 ChernSimons matter theories at weak coupling. We compute the two loop R charge in three different ways, namely by the standard perturbative approach, by extremizing the localized partition function at finite N and by app ..."
Abstract
 Add to MetaCart
(Show Context)
Abstract: We study the localized free energy on S3 of threedimensional N = 2 ChernSimons matter theories at weak coupling. We compute the two loop R charge in three different ways, namely by the standard perturbative approach, by extremizing the localized partition function at finite N and by applying the standard saddle point approximation for large N. We show that the latter approach does not reproduce the expected result when chiral theories are considered. We circumvent these problems by restoring a reflection symmetry on the eigenvalues in the free energy. Thanks to this symmetrization we find that the three methods employed agree. In particular we match the computation for a model whose four dimensional parent is the quiver gauge theory describing D3 branes probing the Hirzebruch surface. We conclude by commenting on the application of our results and to the strong coupling regime.ar X iv
Contents
"... Abstract: The partition function on the threesphere of many supersymmetric Chern–Simons– matter theories reduces, by localization, to a matrix model. We develop a new method to study these models in the Mtheory limit, but at all orders in the 1/N expansion. The method is based on reformulating the ..."
Abstract
 Add to MetaCart
(Show Context)
Abstract: The partition function on the threesphere of many supersymmetric Chern–Simons– matter theories reduces, by localization, to a matrix model. We develop a new method to study these models in the Mtheory limit, but at all orders in the 1/N expansion. The method is based on reformulating the matrix model as the partition function of an ideal Fermi gas with a nontrivial, oneparticle quantum Hamiltonian. This new approach leads to a completely elementary derivation of the N3/2 behavior for ABJM theory and N = 3 quiver Chern–Simons–matter theories. In addition, the full series of 1/N corrections to the original matrix integral can be simply determined by a nexttoleading calculation in the WKB or semiclassical expansion of the quantum gas, and we show that, for several quiver Chern–Simons–matter theories, it is given by an Airy function. This generalizes a recent result of Fuji, Hirano and Moriyama for ABJM theory. It turns out that the semiclassical expansion of the Fermi gas corresponds to a strong coupling expansion in type IIA theory, and it is dual to the genus expansion. This allows us to calculate explicitly nonperturbative effects due to D2brane instantons in the AdS background. ar X iv