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Horizon states and the sign of their index in N = 4 dyons

Chattopadhyaya, A and David, JR (2021) Horizon states and the sign of their index in N = 4 dyons. In: Journal of High Energy Physics, 2021 (3).

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Official URL: https://doi.org/10.1007/JHEP03(2021)106

Abstract

Classical single centered solutions of 1/4 BPS dyons in N = 4 theories are usually constructed in duality frames which contain non-trivial hair degrees of freedom localized outside the horizon. These modes are in addition to the fermionic zero modes associated with broken supersymmetry. Identifying and removing the hair from the 1/4 BPS index allows us to isolate the degrees of freedom associated with the horizon. The spherical symmetry of the horizon then ensures that index of the horizon states has to be positive. We verify that this is indeed the case for the canonical example of dyons in type IIB theory on K3 � T2 and prove this property holds for a class of states. We generalise this observation to all CHL orbifolds, this involves identifying the hair and isolating the horizon degrees of freedom. We then identify the horizon states for 1/4 BPS dyons in N = 4 models obtained by freely acting �2 and �3 orbifolds of type IIB theory compactified on T6 and observe that the index is again positive for single centred black holes. This observation coupled with the fact the 1/4 BPS index of single centred solutions without removal of the hair violates positivity indicates that there exists no duality frame in these models without non-trivial hair. © 2021, The Author(s).

Item Type: Journal Article
Publication: Journal of High Energy Physics
Publisher: Springer Science and Business Media Deutschland GmbH
Additional Information: The copyright for this article belongs to the Springer Science and Business Media Deutschland GmbH
Department/Centre: Division of Physical & Mathematical Sciences > Centre for High Energy Physics
Date Deposited: 29 Mar 2021 07:02
Last Modified: 30 Mar 2021 09:54
URI: http://eprints.iisc.ac.in/id/eprint/68589

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