More Holographic Berezinskii-Kosterlitz-Thouless Transitions

Abstract

We find two systems via holography that exhibit quantum Berezinskii-Kosterlitz-Thouless (BKT) phase transitions. The first is the ABJM theory with flavor and the second is a flavored (1,1) little string theory. In each case the transition occurs at nonzero density and magnetic field. The BKT transition in the little string theory is the first example of a quantum BKT transition in (3+1) dimensions. As in the "original" holographic BKT transition in the D3/D5 system, the exponential scaling is destroyed at any nonzero temperature and the transition becomes second order. Along the way we construct holographic renormalization for probe branes in the ABJM theory and propose a scheme for the little string theory. Finally, we obtain the embeddings and (half of) the meson spectrum in the ABJM theory with massive flavor.

24 pages, 5 figures

References in corpus (26)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Building an AdS/CFT superconductor
• "Deconfined" quantum critical points
• Gauge Symmetry and Supersymmetry of Multiple M2-Branes
• Modeling Multiple M2's
• Toward an AdS/cold atoms correspondence: a geometric realization of the Schroedinger symmetry
• Gravity duals for non-relativistic CFTs
• Lectures on Holographic Superfluidity and Superconductivity
• Energy loss of a heavy quark moving through N=4 supersymmetric Yang-Mills plasma
• Drag force in AdS/CFT
• Viscosity, Black Holes, and Quantum Field Theory
• Holographic Phase Transitions with Fundamental Matter
• Holographic superconductivity in M-Theory
• Green-Schwarz action for Type IIA strings on $Ad{S}_4\times C{P}^3$
• The Bethe ansatz for superconformal Chern-Simons
• The all loop AdS4/CFT3 Bethe ansatz
• Fractional Quantum Hall Effect via Holography: Chern-Simons, Edge States, and Hierarchy
• Universal hydrodynamics of non-conformal branes
• Spin Chains in N=6 Superconformal Chern-Simons-Matter Theory
• Gravity Dual of a Quantum Hall Plateau Transition
• Integrable Spin Chain in Superconformal Chern-Simons Theory
• ABJM with Flavors and FQHE
• Holographic Description of the Phase Diagram of a Chiral Symmetry Breaking Gauge Theory
• Notes on a SQCD-like plasma dual and holographic renormalization
• Deconstructing the Little Hagedorn Holography
• Stability of linear dilaton black holes at the Hagedorn temperature

Cited by in corpus (20)

• Momentum relaxation in holographic massive gravity
• Conformal Phase Transitions at Weak and Strong Coupling
• Holographic Quantum Quench
• Holographic Walking from Tachyon DBI
• Thermodynamics of the brane in Chern-Simons matter theories with flavor
• Flux and Hall states in ABJM with dynamical flavors
• Non Mean-Field Quantum Critical Points from Holography
• Holographic plasma and anyonic fluids
• Semi-Holographic Quantum Criticality
• Scale anomaly of a Lifshitz scalar: a universal quantum phase transition to discrete scale invariance
• M5-brane Defect and QHE in AdS_4 x N(1,1)/N=3 SCFT
• Characteristic length of a Holographic Superconductor with $d$-wave gap
• Risking your NEC
• Quantum phase transition in a Dp-Dq system
• Quantum phase transitions with dynamical flavors
• Interactions and the Theta Term in One-Dimensional Gapped Systems
• On the landscape of scale invariance in quantum mechanics
• Flavored ABJM theory on the sphere and holographic F-functions
• Kibble-Zurek Mechanism and Beyond: Lessons from a Holographic Superfluid Disk
• Dualities from large N orbifold equivalence in Chern-Simons-matter theories with flavor