Lifting 1/4-BPS states in AdS 3 × S 3 × T 4

Nathan Benjamin; Christoph A. Keller; Ida G. Zadeh

doi:10.1007/JHEP10(2021)089

Lifting 1/4-BPS states in AdS ₃ × S ³ × T ⁴

Nathan Benjamin, Christoph A. Keller, Ida G. Zadeh

Research output: Contribution to journal › Article › peer-review

13 Scopus citations

Abstract

We establish a framework for doing second order conformal perturbation theory for the symmetric orbifold Sym^N(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.

Original language	English (US)
Article number	89
Journal	Journal of High Energy Physics
Volume	2021
Issue number	10
DOIs	https://doi.org/10.1007/JHEP10(2021)089
State	Published - Oct 2021
Externally published	Yes

Keywords

AdS-CFT Correspondence
Black Holes in String Theory
Conformal Field Models in String Theory
Extended Supersymmetry

ASJC Scopus subject areas

Nuclear and High Energy Physics

Access to Document

10.1007/JHEP10(2021)089

Cite this

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title = "Lifting 1/4-BPS states in AdS 3 × S 3 × T 4",

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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AU - Benjamin, Nathan

AU - Keller, Christoph A.

AU - Zadeh, Ida G.

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N2 - 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.

AB - 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.

KW - AdS-CFT Correspondence

KW - Black Holes in String Theory

KW - Conformal Field Models in String Theory

KW - Extended Supersymmetry

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