Partition functions and elliptic genera from supergravity

By Per Kraus, F. Larsen. 2006

171 citations recorded by the source corpus.

We develop the spacetime aspects of the computation of partition functions for string/M-theory on AdS3 × M. Subleading corrections to the semi-classical result are included systematically, laying the groundwork for comparison with CFT partition functions via the AdS3/CFT2 correspondence. This leads to a better understanding of the "Farey tail" expansion of Dijkgraaf et. al. from the point of view of bulk physics. Besides clarifying various issues, we also extend the analysis to the N = 2 setting with higher derivative effects included.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/f8adbc5f76679d02fe97007df6d22d1ef01ac81a

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Nuclear and High Energy Physics

Citations in the corpus

Holographic Description of AdS_2 Black Holes (2008, background): “Related boundary terms are known from Chern-Simons theory in three dimensions [36, 37], but apparently not in higher dimensions.”
A Farey Tail for Attractor Black Holes (2006, methodology): “calculation were carefully worked out is [ 11 ].”
Umbral Moonshine (2012, methodology): “2) via an extension of the program that was initiated in [25]; the antecedents of which include Rademacher’s pioneering work [26] on the elliptic modular invariant J(τ), quantum gravity in three dimensions [27, 28, 29], the AdS/CFT correspondence in physics [30, 31, 32], and the application of Radem”
The statistical mechanics of near-BPS black holes (2020, background): “The origin of the first two factors is explained in section 5 of [77].”
Dying dyons don't count (2007, background): “This suggests that there might be a way of rewriting the generating function analogous to the sum over modular images of the polar terms as in [20, 21, 22, 14].”
Scalar fields and three-point functions in D = 3 higher spin gravity (2011, unknown): “This form for the gauge field corresponds to a source for the boundary current, as explained in [34,35,36].”
Chiral gravity, log gravity, and extremal CFT (2009, methodology): “The computation of the classical piece, including the gravitational Chern-Simons term, was given in [56].”
Black hole entropy function, attractors and precision counting of microstates (2007, methodology): “As long as the near horizon geometry of the black hole is given by a locally AdS3 space, the results (4.2.6), (4.2.8) are exact.”
Thermodynamics of higher spin black holes in 3D (2012, background): “Precisely such a shift is encountered in the case of the BTZ black hole carrying a U(1) charge [43, 51].”
Lectures on black holes, topological strings and quantum attractors (2006, background): “ies exactly to all orders in inverse charge. Recent developments show that this agreement is largely a consequence of supersymmetry and anomaly cancellation for black holes which have an AdS 3 region [107,130,131] (see also the lectures by P. Kraus [132] in this volume). 6.4 N = 2 Orbifolds We concl”
Split states, entropy enigmas, holes and halos (2007, background): “The derivation given here is dual to the derivations [18, 28] which appeared while this paper was being written.”
Black hole microstates and attractor without supersymmetry (2006, methodology): “nal contribution to the entropy which are not of the form (7.7). These additional corrections can be interpreted as due to the corrections to the full string theory partition function on thermal AdS 3[61, 39] or equivalently as corrections to the Cardy formula in the CFT living on the boundary of Ad”
Black holes in three dimensional higher spin gravity: a review (2012, background): “The second term is a boundary term (the metric that appears in this term is that induced on the boundary), introduced for the same reasons as in the pure gravity case [84].”
Lectures on Black Holes and the AdS3/CFT2 Correspondence (2006, background): “General references: In these lectures we focus on one particular aspect of black hole physics, namely the computation of the entropy/partition function of AdS3 black holes, and our presentation is based mainly on [10,11].”