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Lifting 1/4 -BPS States on K3 and Mathieu Moonshine

Lifting 1/4 -BPS States on K3 and Mathieu Moonshine
Lifting 1/4 -BPS States on K3 and Mathieu Moonshine
The elliptic genus of K3 is an index for the -BPS states of its -model. At the torus orbifold point there is an accidental degeneracy of such states. We blow up the orbifold fixed points using conformal perturbation theory, and find that this fully lifts the accidental degeneracy of the -BPS states with . At a generic point near the Kummer surface the elliptic genus thus measures not just their index, but counts the actual number of these BPS states. We comment on the implication of this for symmetry surfing and Mathieu moonshine.
225-257
Keller, Christoph A.
ef0bdcf5-45e2-4e94-b07f-336c851566d4
Zadeh, Ida
f1a525ce-9b07-456b-a4f3-435434f833ae
Keller, Christoph A.
ef0bdcf5-45e2-4e94-b07f-336c851566d4
Zadeh, Ida
f1a525ce-9b07-456b-a4f3-435434f833ae

Keller, Christoph A. and Zadeh, Ida (2020) Lifting 1/4 -BPS States on K3 and Mathieu Moonshine. Commun.Math.Phys., 377, 225-257. (doi:10.1007/s00220-020-03721-4).

Record type: Article

Abstract

The elliptic genus of K3 is an index for the -BPS states of its -model. At the torus orbifold point there is an accidental degeneracy of such states. We blow up the orbifold fixed points using conformal perturbation theory, and find that this fully lifts the accidental degeneracy of the -BPS states with . At a generic point near the Kummer surface the elliptic genus thus measures not just their index, but counts the actual number of these BPS states. We comment on the implication of this for symmetry surfing and Mathieu moonshine.

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More information

Accepted/In Press date: 27 January 2020
Published date: 6 March 2020

Identifiers

Local EPrints ID: 501624
URI: http://eprints.soton.ac.uk/id/eprint/501624
DOI: doi:10.1007/s00220-020-03721-4
PURE UUID: bb5ec0d1-23a9-4302-b45a-73408a6d633f
ORCID for Ida Zadeh: ORCID iD orcid.org/0000-0002-8803-0823

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Date deposited: 04 Jun 2025 16:57
Last modified: 06 Nov 2025 03:12

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Contributors

Author: Christoph A. Keller
Author: Ida Zadeh ORCID iD

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