Bubbling geometries for AdS2× S2

Oleg Lunin

doi:10.1007/JHEP10(2015)167

Bubbling geometries for AdS₂× S²

Oleg Lunin

Physics

University at Albany

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

23 Scopus citations

Abstract

Abstract: We construct BPS geometries describing normalizable excitations of AdS₂×S². All regular horizon-free solutions are parameterized by two harmonic functions in R³with sources along closed curves. This local structure is reminiscent of the “bubbling solutions” for the other AdS_p×S^qcases, however, due to peculiar asymptotic properties of AdS₂, one copy of R³does not cover the entire space, and we discuss the procedure for analytic continuation, which leads to a nontrivial topological structure of the new geometries. We also study supersymmetric brane probes on the new geometries, which represent the AdS₂×S²counterparts of the giant gravitons.

Original language	English
Article number	167
Journal	Journal of High Energy Physics
Volume	2015
Issue number	10
DOIs	https://doi.org/10.1007/JHEP10(2015)167
State	Published - Oct 1 2015

Keywords

AdS-CFT Correspondence
D-branes
Intersecting branes models
Supergravity Models

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10.1007/JHEP10(2015)167

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title = "Bubbling geometries for AdS2× S2",

abstract = "Abstract: We construct BPS geometries describing normalizable excitations of AdS2×S2. All regular horizon-free solutions are parameterized by two harmonic functions in R3with sources along closed curves. This local structure is reminiscent of the “bubbling solutions” for the other AdSp×Sqcases, however, due to peculiar asymptotic properties of AdS2, one copy of R3does not cover the entire space, and we discuss the procedure for analytic continuation, which leads to a nontrivial topological structure of the new geometries. We also study supersymmetric brane probes on the new geometries, which represent the AdS2×S2counterparts of the giant gravitons.",

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N2 - Abstract: We construct BPS geometries describing normalizable excitations of AdS2×S2. All regular horizon-free solutions are parameterized by two harmonic functions in R3with sources along closed curves. This local structure is reminiscent of the “bubbling solutions” for the other AdSp×Sqcases, however, due to peculiar asymptotic properties of AdS2, one copy of R3does not cover the entire space, and we discuss the procedure for analytic continuation, which leads to a nontrivial topological structure of the new geometries. We also study supersymmetric brane probes on the new geometries, which represent the AdS2×S2counterparts of the giant gravitons.

AB - Abstract: We construct BPS geometries describing normalizable excitations of AdS2×S2. All regular horizon-free solutions are parameterized by two harmonic functions in R3with sources along closed curves. This local structure is reminiscent of the “bubbling solutions” for the other AdSp×Sqcases, however, due to peculiar asymptotic properties of AdS2, one copy of R3does not cover the entire space, and we discuss the procedure for analytic continuation, which leads to a nontrivial topological structure of the new geometries. We also study supersymmetric brane probes on the new geometries, which represent the AdS2×S2counterparts of the giant gravitons.

KW - AdS-CFT Correspondence

KW - D-branes

KW - Intersecting branes models

KW - Supergravity Models

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DO - 10.1007/JHEP10(2015)167

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VL - 2015

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

IS - 10

M1 - 167

ER -

Bubbling geometries for AdS₂× S²

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