QUANTUM ENTROPY FUNCTION FROM AdS2/CFT1 CORRESPONDENCE

A Sen - International Journal of Modern Physics A, 2009 - World Scientific
We review and extend recent attempts to find a precise relation between extremal black hole
entropy and degeneracy of microstates using AdS 2/CFT 1 correspondence. Our analysis …

Electric-magnetic duality and the geometric Langlands program

A Kapustin, E Witten - arXiv preprint hep-th/0604151, 2006 - arxiv.org
The geometric Langlands program can be described in a natural way by compactifying on a
Riemann surface C a twisted version of N= 4 super Yang-Mills theory in four dimensions …

Microscopic and macroscopic entropy of extremal black holes in string theory

A Sen - General Relativity and Gravitation, 2014 - Springer
Microscopic and macroscopic entropy of extremal black holes in string theory | SpringerLink
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A mirror theorem for toric complete intersections

A Givental - Topological field theory, primitive forms and related …, 1998 - Springer
A Mirror Theorem for Toric Complete Intersections Page 1 A Mirror Theorem for Toric Complete
Intersections Alexander Givental * Abstract We prove a generalized mirror conjecture for …

Quantum black holes, wall crossing, and mock modular forms

A Dabholkar, S Murthy, D Zagier - arXiv preprint arXiv:1208.4074, 2012 - arxiv.org
We show that the meromorphic Jacobi form that counts the quarter-BPS states in N= 4 string
theories can be canonically decomposed as a sum of a mock Jacobi form and an Appell …

Black hole entropy function, attractors and precision counting of microstates

A Sen - General Relativity and Gravitation, 2008 - Springer
In these lecture notes we describe recent progress in our understanding of attractor
mechanism and entropy of extremal black holes based on the entropy function formalism …

Elliptic genera of symmetric products and second quantized strings

R Dijkgraaf, G Moore, E Verlinde, H Verlinde - … in Mathematical Physics, 1997 - Springer
In this note we prove an identity that equates the elliptic genus partition function of a
supersymmetric sigma model on the N-fold symmetric product of a manifold M to the partition …

World-volume action of the M-theory five-brane

M Aganagic, J Park, C Popescu, JH Schwarz - Nuclear Physics B, 1997 - Elsevier
This paper presents a 6d world-volume action that describes the dynamics of the M-theory
five-brane in a flat 11 d space-time background. The world-volume action has global 11d …

On the algebras of BPS states

JA Harvey, G Moore - Communications in Mathematical Physics, 1998 - Springer
We define an algebra on the space of BPS states in theories with extended supersymmetry.
We show that the algebra of perturbative BPS states in toroidal compactification of the …

Lectures on modular forms and strings

E D'Hoker, J Kaidi - arXiv preprint arXiv:2208.07242, 2022 - arxiv.org
The goal of these lectures is to present an informal but precise introduction to a body of
concepts and methods of interest in number theory and string theory revolving around …