From ${\mathrm{AdS}}_5$ to ${\mathrm{AdS}}_3$: TsT deformations, Magnetic fields and Holographic RG Flows

Abstract

It was previously shown that a D7 brane probe in a D3 brane background with a pure gauge constant magnetic field $\mathrm{B}=\mathrm{H}$ exhibits chiral symmetry breaking and a discrete meson spectrum with Zeeman splitting. In this work, we investigate how these features are modified by a TsT deformation of the background, which renders the Kalb Ramond field physical and radially dependent, thereby obscuring its interpretation as a constant magnetic field. We show that chiral symmetry breaking persists in the deformed model. The meson spectrum, however, depends on the fluctuation sector. Fluctuations perpendicular to the magnetic field are sensitive to the deformation and, for generic values of the TsT parameter $\mathrm{k}$, do not admit a consistent spectrum due to divergent behavior near the horizon, whereas fluctuations parallel to the magnetic field remain unaffected. Remarkably, the combined effect of the magnetic field and the TsT deformation singles out the special value $\mathrm{k}=-\frac{1}{\mathrm{H}}$. At this point, the perpendicular modes are restored. Moreover, the Kalb Ramond field becomes constant again, recovering its interpretation as a magnetic field. The resulting effects on the spectrum appear only at order $O(H^2)$, and therefore the Zeeman splitting, if present at all, is shifted to this higher order. Furthermore, the resulting background with $\mathrm{k}=-\frac{1}{\mathrm{H}}$ is interesting in its own right, even without embedding any brane. The spacetime admits an interpretation in terms of D1 branes and exhibits a degenerate boundary geometry, asymptotically ${\mathrm{AdS}}_3\times S^5$, with a degenerate horizon. We present a first discussion of the dual field theory interpretation, making connections to D1 and D5 systems, renormalization group flow, defect field theories, and domain wall holography.

References added, typos corrected

References in corpus (25)

• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• Low energy hadron physics in holographic QCD
• QCD and a Holographic Model of Hadrons
• Linear Confinement and AdS/QCD
• Adding flavor to AdS/CFT
• Gravity Duals of Lifshitz-like Fixed Points
• More on a holographic dual of QCD
• Deforming field theories with $U(1)\times U(1)$ global symmetry and their gravity duals
• Chiral Symmetry Breaking and Pions in Non-Supersymmetric Gauge/Gravity Duals
• Towards a holographic dual of large-N_c QCD
• Lax Pair for Strings in Lunin-Maldacena Background
• A Dilatonic Deformation of AdS_5 and its Field Theory Dual
• Hall conductivity from dyonic black holes
• Holography for Cosmology
• Magnetic Brane Solutions in AdS
• Flavoured Large N Gauge Theory in an External Magnetic Field
• Nonlocal Field Theories and their Gravity Duals
• Chiral Dynamics From AdS Space
• On deformed gauge theories and their string/M-theory duals
• The Holographic Universe
• Lunin-Maldacena Deformations With Three Parameters
• Conformal Twists, Yang-Baxter $\sigma$-models & Holographic Noncommutativity
• Adding flavor to the gravity dual of non-commutative gauge theories
• Penrose limits and spin chains in the GJV/CS-SYM duality
• Anisotropic Lifshitz holography in Einstein-Proca theory with stable negative mass spectrum