Sen, Ashoke (2010) A twist in the dyon partition function Journal of High Energy Physics, 2010 (5). 28_1-28_29. ISSN 1126-6708
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Official URL: http://www.springerlink.com/content/cvj66246h2x73v...
Related URL: http://dx.doi.org/10.1007/JHEP05(2010)028
Abstract
In four dimensional string theories with N=4 and N=8 supersymmetries one can often define twisted index in a subspace of the moduli space which captures additional information on the partition function than the ones contained in the usual helicity trace index. We compute several such indices in type IIB string theory on K3×T2 and T6, and find that they share many properties with the usual helicity trace index that captures the spectrum of quarter BPS states in N=4 supersymmetric string theories. In particular the partition function is a modular form of a subgroup of Sp(2; Z) and the jumps across the walls of marginal stability are controlled by the residues at the poles of the partition function. However for large charges the logarithm of this index grows as 1/N times the entropy of a black hole carrying the same charges where N is the order of the symmetry generator that is used to define the twisted index. We provide a macroscopic explanation of this phenomenon using quantum entropy function formalism. The leading saddle point corresponding to the attractor geometry fails to contribute to the twisted index, but a ZN orbifold of the attractor geometry produces the desired contribution.
Item Type: | Article |
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Source: | Copyright of this article belongs to Institute of Physics. |
Keywords: | Black Holes in String Theory; D-branes |
ID Code: | 44079 |
Deposited On: | 20 Jun 2011 11:15 |
Last Modified: | 18 May 2016 00:53 |
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