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31
Superconformal Partition Functions and Nonperturbative Topological Strings
, 2013
"... We propose a nonperturbative definition for refined topological strings. This can be used to compute the partition function of superconformal theories in 5 dimensions on squashed S5 and the superconformal index of a large number of 6 dimensional (2, 0) and (1, 0) theories, including that of N coinc ..."
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Cited by 26 (4 self)
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We propose a nonperturbative definition for refined topological strings. This can be used to compute the partition function of superconformal theories in 5 dimensions on squashed S5 and the superconformal index of a large number of 6 dimensional (2, 0) and (1, 0) theories, including that of N coincident M5 branes. The result can be expressed as an integral over the product of three combinations of topological string amplitudes. SL(3,Z) modular transformations acting by inverting the coupling constants of the refined topological string play a key role.
Supersymmetric theories on squashed fivesphere,” arXiv:1209.0561 [hepth
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A note on supersymmetric AdS6 solutions of massive type
 IIA supergravity,” JHEP 1301 (2013) 113 [JHEP 1301 (2013) 113] [arXiv:1209.3267 [hepth
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5D super YangMills theory and the correspondence to
 AdS7/CFT6”, J. Phys. A: Math. theor
, 2013
"... We study the relation between 5D super YangMills theory and the holographic description of 6D (2, 0) superconformal theory. We start by clarifying some issues related to the localization of N = 1 SYM with matter on S5. We concentrate on the case of a single adjoint hypermultiplet with a mass term ..."
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Cited by 11 (1 self)
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We study the relation between 5D super YangMills theory and the holographic description of 6D (2, 0) superconformal theory. We start by clarifying some issues related to the localization of N = 1 SYM with matter on S5. We concentrate on the case of a single adjoint hypermultiplet with a mass term and argue that the theory has a symmetry enlargement at mass M = 1/(2r), where r is the S5 radius. However, in order to have a welldefined localization locus it is necessary to rotate M onto the imaginary axis, breaking the enlarged symmetry. Based on our prescription, the imaginary mass values are physical and we show how the localized path integral is consistent with earlier results for 5D SYM in flat space. We then compute the free energy and the expectation value for a circular Wilson loop in the large N limit. The Wilson loop calculation shows a mass dependent constant rescaling between weak and strong coupling. The Wilson loop continued back to to the enlarged symmetry point is consistent with a supergravity computation for an M2 brane using the standard identification of the compactification radius and the 5D coupling. If we continue back to the physical regime and use this value of the mass to determine the compactification radius, then we find agreement between the SYM free energy and the corresponding supergravity calculation. We also verify numerically some of our analytic approximations.a rX iv
The partition function of ABJ theory
, 2013
"... We study the partition function of the N = 6 supersymmetric U(N1)k × U(N2)−k ChernSimonsmatter (CSM) theory, also known as the ABJ theory. For this purpose, we first compute the partition function of the U(N1)×U(N2) lens space matrix model exactly. The result can be expressed as a product of qdef ..."
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Cited by 6 (0 self)
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We study the partition function of the N = 6 supersymmetric U(N1)k × U(N2)−k ChernSimonsmatter (CSM) theory, also known as the ABJ theory. For this purpose, we first compute the partition function of the U(N1)×U(N2) lens space matrix model exactly. The result can be expressed as a product of qdeformed Barnes Gfunction and a generalization of multiple qhypergeometric function. The ABJ partition function is then obtained from the lens space partition function by analytically continuing N2 to −N2. The answer is given by min(N1, N2)dimensional integrals and generalizes the “mirror description ” of the partition function of the ABJM theory, i.e. the N = 6 supersymmetric U(N)k × U(N)−k CSM theory. Our expression correctly reproduces perturbative expansions and vanishes for N1 − N2 > k in line with the conjectured supersymmetry breaking, and the Seiberg duality is explicitly checked for a class of nontrivial examples.
Global supersymmetry on curved spaces in various dimensions,” arXiv:1211.1367 [hepth
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CFT’s in rotating black hole backgrounds
 Class. Quantum Grav
, 2013
"... We use AdS/CFT to construct the gravitational dual of a 5D CFT in the background of a nonextremal rotating black hole. Our boundary conditions are such that the vacuum state of the dual CFT corresponds to the Unruh state. We extract the expectation value of the stress tensor of the dual CFT using ..."
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Cited by 5 (0 self)
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We use AdS/CFT to construct the gravitational dual of a 5D CFT in the background of a nonextremal rotating black hole. Our boundary conditions are such that the vacuum state of the dual CFT corresponds to the Unruh state. We extract the expectation value of the stress tensor of the dual CFT using holographic renormalisation and show that it is stationary and regular on both the future and the past event horizons. The energy density of the CFT is found to be negative everywhere in our domain and we argue that this can be understood as a vacuum polarisation effect. We construct the solutions by numerically solving the elliptic Einstein–DeTurck equation for stationary Lorentzian spacetimes with Killing horizons. ar X iv