Symmetry-breaking vacua and baryon condensates in AdS/CFT

Abstract

We study the gravity duals of symmetry-breaking deformations of superconformal field theories, AdS/CFT dual to Type IIB string theory on AdS_5 x Y where Y is a Sasaki-Einstein manifold. In these vacua both conformal invariance and baryonic symmetries are spontaneously broken. We present a detailed discussion of the supergravity moduli space, which involves flat form fields on asymptotically conical Calabi-Yau manifolds, and match this to the gauge theory vacuum moduli space. We discuss certain linearised fluctuations of the moduli, identifying the Goldstone bosons associated with spontaneous breaking of non-anomalous baryonic symmetries. The remaining moduli fields are related to spontaneous breaking of anomalous baryonic symmetries. We also elaborate on the proposal that computing condensates of baryon operators is equivalent to computing the partition function of a non-compact Euclidean D3-brane in the background supergravity solution, with fixed boundary conditions at infinity.

121 pages; v2: references added

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Cited by in corpus (6)

• Moduli spaces of Chern-Simons quiver gauge theories and AdS_4/CFT_3
• Thermal order in large N conformal gauge theories
• Equivalence of A-Maximization and Volume Minimization
• On Exactly Marginal Deformations Dual to $B$-Field Moduli of IIB Theory on SE${}_5$
• Baryonic symmetries in AdS_4/CFT_3: an overview
• Semiclassics of three-dimensional SCFTs from holography