Baryonic branches and resolutions of Ricci-flat Kahler cones

We consider deformations of = 1 superconformal field theories that are AdS/CFT dual to Type IIB string theory on Sasaki-Einstein manifolds, characterised by non-zero vacuum expectation values for certain baryonic operators. Such baryonic branches are constructed from (partially) resolved, asymptotic...

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Main Authors: Martelli, D, Sparks, J
Format: Journal article
Language:English
Published: 2008
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author Martelli, D
Sparks, J
author_facet Martelli, D
Sparks, J
author_sort Martelli, D
collection OXFORD
description We consider deformations of = 1 superconformal field theories that are AdS/CFT dual to Type IIB string theory on Sasaki-Einstein manifolds, characterised by non-zero vacuum expectation values for certain baryonic operators. Such baryonic branches are constructed from (partially) resolved, asymptotically conical Ricci-flat Kähler manifolds, together with a choice of point where the stack of D3-branes is placed. The complete solution then describes a renormalisation group flow between two AdS fixed points. We discuss the use of probe Euclidean D3-branes in these backgrounds as a means to compute expectation values of baryonic operators. The Y p,q theories are used as illustrative examples throughout the paper. In particular, we present supergravity solutions describing flows from the Y p,q theories to various different orbifold field theories in the infra-red, and successfully match this to an explicit field theory analysis.
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spelling oxford-uuid:de9f86a5-303f-49ad-897f-1cf7087a10fe2022-03-27T09:33:34ZBaryonic branches and resolutions of Ricci-flat Kahler conesJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:de9f86a5-303f-49ad-897f-1cf7087a10feEnglishSymplectic Elements at Oxford2008Martelli, DSparks, JWe consider deformations of = 1 superconformal field theories that are AdS/CFT dual to Type IIB string theory on Sasaki-Einstein manifolds, characterised by non-zero vacuum expectation values for certain baryonic operators. Such baryonic branches are constructed from (partially) resolved, asymptotically conical Ricci-flat Kähler manifolds, together with a choice of point where the stack of D3-branes is placed. The complete solution then describes a renormalisation group flow between two AdS fixed points. We discuss the use of probe Euclidean D3-branes in these backgrounds as a means to compute expectation values of baryonic operators. The Y p,q theories are used as illustrative examples throughout the paper. In particular, we present supergravity solutions describing flows from the Y p,q theories to various different orbifold field theories in the infra-red, and successfully match this to an explicit field theory analysis.
spellingShingle Martelli, D
Sparks, J
Baryonic branches and resolutions of Ricci-flat Kahler cones
title Baryonic branches and resolutions of Ricci-flat Kahler cones
title_full Baryonic branches and resolutions of Ricci-flat Kahler cones
title_fullStr Baryonic branches and resolutions of Ricci-flat Kahler cones
title_full_unstemmed Baryonic branches and resolutions of Ricci-flat Kahler cones
title_short Baryonic branches and resolutions of Ricci-flat Kahler cones
title_sort baryonic branches and resolutions of ricci flat kahler cones
work_keys_str_mv AT martellid baryonicbranchesandresolutionsofricciflatkahlercones
AT sparksj baryonicbranchesandresolutionsofricciflatkahlercones