AdS-Sliced Flavor Branes and Adding Flavor to the Janus Solution

Abstract

We implement D7 flavor branes in AdS-sliced coordinates on $Ad{S}_5\times S^5$ with the ansatz that the brane fluctuates only in the warped ($\mu$) direction in this slicing, which is particularly appropriate for studying the Janus solution. The natural field theory dual in this slicing is $\mathcal{N}=4$ super Yang-Mills on two copies of $Ad{S}_4$. Branes extending from $\mu =\pm \pi /2$ can end at different locations, giving rise to quarks with piecewise constant mass on each $Ad{S}_4$ half-space, jumping discontinuously between them. A second class of flavor brane solutions exists in this coordinate system, dubbed "continuous" flavor branes, that extend across the entire range of $\mu$. We propose that the correct dual interpretation of "disconnected" flavor brane in this ansatz is a quark hypermultiplet with constant mass on one of the AdS${}_4$ half-spaces with totally reflecting boundary conditions at the boundary of AdS${}_4$; whereas the dual interpretation of a continuous flavor brane has totally transparent boundary conditions. Numerical studies indicate that AdS-sliced D7 flavor branes of both classes exhibit spontaneous chiral symmetry breaking, as non-zero vev persists for solutions of the equation of motion down to zero mass. Continuous flavor branes in this ansatz exhibit many other surprising behaviors: their masses seem to be capped at a modest value near $m=0.551$ in units of the inverse AdS radius, and there may be a phase transition between continuous branes of different configurations. We also numerically study quark states in Janus. The behavior of mass and vev is similar in Janus, including the existence of chiral symmetry breaking at zero mass, though qualitative features of the phase diagram change (sometimes significantly) as the Janus parameter $c_0$ increases.

16 pages, 12 figures, v2 figures corrected

References in corpus (14)

• Exact half-BPS Type IIB interface solutions I: Local solution and supersymmetric Janus
• Interface Yang-Mills, Supersymmetry, and Janus
• Ten-dimensional supersymmetric Janus solutions
• Spin-2 spectrum of defect theories
• The CFT/AdS correspondence, massive gravitons and a connectivity index conjecture
• Janus field theories from multiple M2 branes
• Exact Half-BPS Flux Solutions in M-theory III: Existence and rigidity of global solutions asymptotic to AdS4 x S7
• Janus and Multifaced Supersymmetric Theories II
• Open Worldsheets for Holographic Interfaces
• Critical Exponents from AdS/CFT with Flavor
• Dual of Big-bang and Big-crunch
• Janus within Janus
• Note on Generalized Janus Configurations
• Lifshitz-like Janus Solutions

Cited by in corpus (4)

• Multi-faced Black Janus and Entanglement
• Supersymmetric D3/D7 for holographic flavors on curved space
• On supersymmetric AdS6 solutions in 10 and 11 dimensions
• On supersymmetric Anti-de-Sitter, de-Sitter and Minkowski flux backgrounds