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Article Dans Une Revue Journal of High Energy Physics Année : 2013

Counting Strings, Wound and Bound

Résumé

We analyze zero mode counting problems for Dirac operators that find their origin in string theory backgrounds. A first class of quantum mechanical models for which we compute the number of ground states arises from a string winding an isometric direction in a geometry, taking into account its energy due to tension. Alternatively, the models arise from deforming marginal bound states of a string winding a circle, and moving in an orthogonal geometry. After deformation, the number of bound states is again counted by the zero modes of a Dirac operator. We count these bound states in even dimensional asymptotically linear dilaton backgrounds as well as in Euclidean Taub-NUT. We show multiple pole behavior in the fugacities keeping track of a U(1) charge. We also discuss a second class of counting problems that arises when these backgrounds are deformed via the application of a heterotic duality transformation. We discuss applications of our results to Appell-Lerch sums and the counting of domain wall bound states.

Dates et versions

hal-00839486 , version 1 (28-06-2013)

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Sujay K. Ashok, Suresh Nampuri, Jan Troost. Counting Strings, Wound and Bound. Journal of High Energy Physics, 2013, 1304, pp.096. ⟨hal-00839486⟩
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