Partition functions and elliptic genera from supergravity

Details Partition functions and elliptic genera from supergravity Partition functions and elliptic genera from supergravity

2006-07-20

arxiv.org/abs/hep-th/0607138v1

JHEP 0701:002,2007

Physics

High Energy Physics

High Energy Physics - Theory

34 pages

Scientific paper

10.1088/1126-6708/2007/01/002

We develop the spacetime aspects of the computation of partition functions for string/M-theory on AdS(3) xM. Subleading corrections to the semi-classical result are included systematically, laying the groundwork for comparison with CFT partition functions via the AdS(3)/CFT(2) 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.

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