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Walls of marginal stability and dyon spectrum in N = 4 supersymmetric string theories

Sen, Ashoke (2007) Walls of marginal stability and dyon spectrum in N = 4 supersymmetric string theories. Journal of High Energy Physics, 2007 (05). Art. No. 039. ISSN 1126-6708.

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The spectrum of quarter BPS dyons in N = 4 supersymmetric string theories can change as the asymptotic moduli cross walls of marginal stability on which the dyon can break apart into a pair of half BPS states. In this paper we classify these marginal stability walls and examine this phenomenon in the context of exact dyon spectrum found in a class of N = 4 supersymmetric string theories. We argue that the dyon partition functions in different domains separated by marginal stability walls are the same, but the choice of integration contour needed for extracting the degeneracies from the partition function differ in these different regions. We also find that in the limit of large charges the change in the degeneracy is exponentially suppressed compared to the leading contribution. This is consistent with the fact that in the computation of black hole entropy we do not encounter any change as the asymptotic moduli fields move across the walls of marginal stability. Finally we carry out some tests of S-duality invariance in the theory.

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Additional Information:© 2007 SISSA Received: April 3, 2007. Accepted: May 5, 2007. Published: May 14, 2007. I would like to thank Atish Dabholkar, Justin David, Tohru Eguchi, Davide Gaiotto, Dileep Jatkar, Suresh Nampuri and Hirosi Ooguri for useful discussions. This work was supported generously by the people of India, J.C. Bose fellowship of the Department of Science and Technology of Govt. of India and Moore distinguished scholarship at California Institute of Technology.
Subject Keywords:Black Holes in String Theory, Superstrings and Heterotic Strings
Issue or Number:05
Record Number:CaltechAUTHORS:SENjhep07b
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:8550
Deposited By: Archive Administrator
Deposited On:20 Aug 2007
Last Modified:02 Oct 2019 23:52

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