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Lifting 1/4-BPS states in AdS3× S3 × T4

Lifting 1/4-BPS states in AdS3× S3 × T4
Lifting 1/4-BPS states in AdS3× S3 × T4
We establish a framework for doing second order conformal perturbation theory for the symmetric orbifold SymN(T4) to all orders in N. This allows us to compute how 1/4-BPS states of the D1-D5 system on AdS3 × S3 × T4 are lifted as we move away from the orbifold point. As an application we confirm a previous observation that in the large N limit not all 1/4-BPS states that can be lifted do get lifted. This provides evidence that the supersymmetric index actually undercounts the number of 1/4-BPS states at a generic point in the moduli space.
1126-6708
Benjamin, Nathan
2d6a5af2-5a93-41ff-8189-530f655d1d55
Keller, Christoph A.
ef0bdcf5-45e2-4e94-b07f-336c851566d4
Zadeh, Ida G.
f1a525ce-9b07-456b-a4f3-435434f833ae
Benjamin, Nathan
2d6a5af2-5a93-41ff-8189-530f655d1d55
Keller, Christoph A.
ef0bdcf5-45e2-4e94-b07f-336c851566d4
Zadeh, Ida G.
f1a525ce-9b07-456b-a4f3-435434f833ae

Benjamin, Nathan, Keller, Christoph A. and Zadeh, Ida G. (2021) Lifting 1/4-BPS states in AdS3× S3 × T4. JHEP, 2021, [89]. (doi:10.1007/JHEP10(2021)089).

Record type: Article

Abstract

We establish a framework for doing second order conformal perturbation theory for the symmetric orbifold SymN(T4) to all orders in N. This allows us to compute how 1/4-BPS states of the D1-D5 system on AdS3 × S3 × T4 are lifted as we move away from the orbifold point. As an application we confirm a previous observation that in the large N limit not all 1/4-BPS states that can be lifted do get lifted. This provides evidence that the supersymmetric index actually undercounts the number of 1/4-BPS states at a generic point in the moduli space.

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Accepted/In Press date: 20 September 2021
Published date: 12 October 2021

Identifiers

Local EPrints ID: 501693
URI: http://eprints.soton.ac.uk/id/eprint/501693
ISSN: 1126-6708
PURE UUID: 706c0d65-420a-4b4a-942d-9ed60638b142
ORCID for Ida G. Zadeh: ORCID iD orcid.org/0000-0002-8803-0823

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Date deposited: 06 Jun 2025 16:33
Last modified: 22 Aug 2025 02:43

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Contributors

Author: Nathan Benjamin
Author: Christoph A. Keller
Author: Ida G. Zadeh ORCID iD

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