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Properties of dyons in N=4 theories at small charges

Chattopadhyaya, Aradhita and David, Justin R (2019) Properties of dyons in N=4 theories at small charges. In: JOURNAL OF HIGH ENERGY PHYSICS (5).

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Official URL: https://doi.org/10.1007/JHEP05(2019)005

Abstract

We study three properties of 1/4 BPS dyons at small charges in string compactifications which preserve N = 4 supersymmetry. We evaluate the non-trivial constant present in the one loop statistical entropy for N = 4 compactifications of type IIB theory on K3 x T-2 orbifolded by an order Z(N) freely acting orbifold g including all CHL compactifications. This constant is trivial for the un-orbifolded model but we show that it contributes crucially to the entropy of low charge dyons in all the orbifold models. We then show that the meromorphic Jacobi form which captures the degeneracy of 1/4 BPS states for the first two non-trivial magnetic charges can be decomposed into an Appell-Lerch sum and a mock Jacobi form transforming under (0)(N). This generalizes the earlier observation of Dabholkar-Murthy-Zagier to the orbifold models. Finally we study the sign of the Fourier coefficients of the inverse Siegel modular form which counts the index of 1/4 BPS dyons in N = 4 models obtained by freely acting Z(2) and Z(3) orbifolds of type II theory compactified on T-6. We show that sign of the index for sufficiently low charges and ensuring that it counts single centered black holes, violates the positivity conjecture of Sen which indicates that these states posses non-trivial hair.

Item Type: Journal Article
Additional Information: Copyright for this article belongs to SPRINGER
Keywords: Black Holes in String Theory; Conformal Field Models in String Theory; Superstring Vacua
Department/Centre: Division of Physical & Mathematical Sciences > Centre for High Energy Physics
Depositing User: LIS Interns
Date Deposited: 24 May 2019 09:37
Last Modified: 24 May 2019 09:37
URI: http://eprints.iisc.ac.in/id/eprint/62726

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