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Supersymmetric quantum criticality supported by baryonic charges

Aristomenis Donos, Jerome P. Gauntlett

TL;DR

We study zero-temperature, supersymmetric flows in $D=11$ supergravity on $AdS_4\times Q^{111}$ that interpolate to $AdS_2\times \mathbb{R}^2$ in the IR. The dual $N=2$ SCFT has a $U(1)^2$ baryonic symmetry and the bulk solutions carry electric charge under one baryonic factor and magnetic charge under the other, yielding stable ground states with finite entropy density. The construction uses a carefully chosen 11D ansatz, a Killing spinor analysis yielding two preserved supercharges, and a 6-function BPS system that admits both a SUSY $AdS_2\times\mathbb{R}^2$ fixed point and a domain-wall interpolating to it; the UV data map to deformations/VEVs in the dual theory, including scalars from Betti vector multiplets. The work further generalizes to flows ending at $AdS_2\times S^2$ and $AdS_2\times H^2$, enabled by curvature $k$ and a two-parameter family of fixed points, highlighting the role of baryonic charges in enabling $AdS_2\times S^2$ loci and suggesting a rich moduli space of quantum critical points in the dual $d=3$, $N=2$ SCFTs.

Abstract

In the context of the $AdS_4\times Q^{111}$ solution of D=11 supergravity we construct supersymmetric zero temperature black brane solutions that interpolate between $AdS_4$ in the UV and $AdS_2\times \mathbb{R}^2$ in the IR. The dual N=2 SCFT has a $U(1)^2$ baryonic symmetry and the solutions carry electric charge with respect to one of the U(1) factors and magnetic charge with respect to the other. The solutions describe stable zero temperature ground states of the deformed SCFT which have finite entropy density. We also construct analogous supersymmetric solutions that flow to $AdS_2\times S^2$ and to $AdS_2\times H^2/Γ$ in the IR which, in addition, carry magnetic R-symmetry charge similar to other known wrapped brane solutions.

Supersymmetric quantum criticality supported by baryonic charges

TL;DR

We study zero-temperature, supersymmetric flows in supergravity on that interpolate to in the IR. The dual SCFT has a baryonic symmetry and the bulk solutions carry electric charge under one baryonic factor and magnetic charge under the other, yielding stable ground states with finite entropy density. The construction uses a carefully chosen 11D ansatz, a Killing spinor analysis yielding two preserved supercharges, and a 6-function BPS system that admits both a SUSY fixed point and a domain-wall interpolating to it; the UV data map to deformations/VEVs in the dual theory, including scalars from Betti vector multiplets. The work further generalizes to flows ending at and , enabled by curvature and a two-parameter family of fixed points, highlighting the role of baryonic charges in enabling loci and suggesting a rich moduli space of quantum critical points in the dual , SCFTs.

Abstract

In the context of the solution of D=11 supergravity we construct supersymmetric zero temperature black brane solutions that interpolate between in the UV and in the IR. The dual N=2 SCFT has a baryonic symmetry and the solutions carry electric charge with respect to one of the U(1) factors and magnetic charge with respect to the other. The solutions describe stable zero temperature ground states of the deformed SCFT which have finite entropy density. We also construct analogous supersymmetric solutions that flow to and to in the IR which, in addition, carry magnetic R-symmetry charge similar to other known wrapped brane solutions.

Paper Structure

This paper contains 18 sections, 71 equations, 2 figures.

Table of Contents

  1. Introduction
  2. The supersymmetric flow from $AdS_{4}$ to $AdS_2\times \mathbb{R}^2$
  3. The $AdS_4\times Q^{111}$ solution
  4. The flow equations
  5. Killing spinor analysis
  6. The $AdS_{2}\times\mathbb{R}^2$ fixed points
  7. Supersymmetric domain walls
  8. KK reduction and dual SCFT interpretation
  9. Flows from $AdS_4$ to $AdS_2\times S^2$ and $AdS_2\times H^2$
  10. The supersymmetric flow equations
  11. $AdS_2\times S^2$ and $AdS_2\times H^2$ fixed points
  12. Supersymmetric domain wall solutions
  13. Flow to $AdS_2\times S^2$
  14. Flow to $AdS_2\times H^2$
  15. Final comments
  16. ...and 3 more sections

Figures (2)

  • Figure 1: Supersymmetric domain wall solutions interpolating between $AdS_4\times Q^{1,1}$ and $AdS_2\times \mathbb{R}^2\times S^2\times S^2\times S^3$ given by \ref{['fptsol']}. In the left panel, top to bottom, we have plotted the functions $A'$ (blue), $B'$ (red), $f$ (green). In the right panel we have plotted, top to bottom from the left, $U_1$ (blue), $U_3$ (red) and $V$ (green).
  • Figure 2: Supersymmetric domain wall solutions interpolating between $AdS_4\times Q^{1,1}$ and $AdS_2\times {S}^2\times S^2\times S^2\times S^3$ given by \ref{['fptsols2']}. In the left panel, top to bottom, we have plotted the functions $A'$ (blue), $B'$ (red), $f$ (green). In the right panel we have plotted, top to bottom from the left, $U_1$ (blue), $U_3$ (red) and $V$ (green).