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We present a holographic derivation of the entropy of supersymmetric asymptotically AdS 5
black holes. We define a BPS limit of black hole thermodynamics by first focussing on a …

Starting with a gentle approach to the Alday–Gaiotto–Tachikawa (AGT) correspondence
from its 6d origin, these notes provide a wide (albeit shallow) survey of the literature on …

We study the N= 2 four-dimensional superconformal index in various interesting limits, such
that only states annihilated by more than one supercharge contribute. Extrapolating from the …

Several years ago, it was proposed that the usual solutions of the Yang-Baxter equation
associated to Lie groups can be deduced in a systematic way from four-dimensional gauge …

A bstract We show that the superconformal index of\(\mathcal {N}= 1\) superconformal field
theories in four dimensions has an asymptotic growth of states which is exponential in the …

A bstract We study d-dimensional Conformal Field Theories (CFTs) on the cylinder,\({S}^{d-
1}\times\mathrm {\mathbb {R}}\), and its deformations. In d= 2 the Casimir energy (ie the …

A bstract We find a family of complex saddle-points at large N of the matrix model for the
superconformal index of SU (N)\(\mathcal {N}\)= 4 super Yang-Mills theory on S 3× S 1 with …

An exact formula for partition functions in 3d field theories was recently suggested by
Jafferis, and Hama, Hosomichi, and Lee. These functions are expressed in terms of specific …

A bstract We systematically analyze the large-N limit of the superconformal index
of\(\mathcal {N}\)= 1 superconformal theories having a quiver description. The index of these …