Holographic Coulomb Branch Flows with N=1 Supersymmetry

Abstract

We obtain a large, new class of N=1 supersymmetric holographic flow backgrounds with U(1)^3 symmetry. These solutions correspond to flows toward the Coulomb branch of the non-trivial N=1 supersymmetric fixed point. The massless (complex) chiral fields are allowed to develop vevs that are independent of their two phase angles, and this corresponds to allowing the brane to spread with arbitrary, U(1)^2 invariant, radial distributions in each of these directions. Our solutions are "almost Calabi-Yau:" The metric is hermitian with respect to an integrable complex structure, but is not Kahler. The "modulus squared" of the holomorphic (3,0)-form is the volume form, and the complete solution is characterized by a function that must satisfy a single partial differential equation that is closely related to the Calabi-Yau condition. The deformation from a standard Calabi-Yau background is driven by a non-trivial, non-normalizable 3-form flux dual to a fermion mass that reduces the supersymmetry to N=1. This flux also induces dielectric polarization of the D3-branes into D5-branes.

arXiv comment22 pages; harvmac. Typos corrected;small improvements in presentation

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Cited by in corpus (13)

• The G_2 spinorial geometry of supersymmetric IIB backgrounds
• Gravity duals to deformed SYM theories and Generalized Complex Geometry
• Global geometry of the supersymmetric AdS_3/CFT_2 correspondence in M-theory
• Deformations of Holographic Duals to Non-Relativistic CFTs
• $\mathcal{N}=2$ Supersymmetric Janus Solutions and Flows: From Gauged Supergravity to M Theory
• Holographic Duals of a Family of N=1 Fixed Points
• Brane-Jet Instabilities
• New Superstrata from Three-Dimensional Supergravity
• Towards holographic walking from N=4 super Yang-Mills
• Flowing to Higher Dimensions: A New Strongly-Coupled Phase on M2 Branes
• Supersymmetric D-branes on SU(2) structure manifolds
• Deformations of flows from type IIB supergravity
• Separability in Consistent Truncations