Monopoles and confinement in three dimensions from holography

Abstract

We study the phase diagram of a confining three-dimensional $\mathcal{N}=1$ supersymmetric $\text{U}(N)\times \text{U}(N+M)$ theory with holographic dual corresponding to a known string theory solution. The theory possesses a global $\text{U}(1)$ symmetry under which magnetic monopoles are charged. We introduce both temperature and an external magnetic field for monopoles and find that there are deconfinement phase transitions as any of the two is increased, supporting monopole condensation as the possible mechanism for confinement. We find that the transition as the magnetic field is increased is second order, providing the first example in holographic duals of a deconfinement transition which is not first order. We also uncover a rich structure in the phase diagram, with a triple point and a critical point where a line of first order transitions end.

27 pages + appendices, 11 figures. Expansions available at https://subils.me/resources/poliakov-confinement-at-strong-coupling/

References in corpus (8)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• The order of the quantum chromodynamics transition predicted by the standard model of particle physics
• Fractional M2-branes
• Entanglement as a Probe of Confinement
• Generalized symmetries and holography in ABJM-type theories
• Is entanglement a probe of confinement?
• Conformal field theory and the hot phase of three-dimensional U(1) gauge theory
• Phases of $\mathcal{N}=1$ Quivers in $2+1$ Dimensions

Cited by in corpus (2)

• Light dilaton near critical points in top-down holography
• Gravity, finite duality cascades and confinement