To gauge or not to gauge?

Abstract

The D0 brane, or BFSS, matrix model is a quantum mechanical theory with an interesting gravity dual. We consider a variant of this model where we treat the $SU(N)$ symmetry as a global symmetry, rather than as a gauge symmetry. This variant contains new non-singlet states. We consider the impact of these new states on its gravity dual. We argue that the gravity dual is essentially the same as the one for the original matrix model. The non-singlet states have higher energy at strong coupling and are therefore dynamically suppressed.

23+16 pages, 5 figures. v2: typos corrected, references updated

References in corpus (6)

• Monte Carlo studies of supersymmetric matrix quantum mechanics with sixteen supercharges at finite temperature
• Black hole thermodynamics from simulations of lattice Yang-Mills theory
• Higher derivative corrections to black hole thermodynamics from supersymmetric matrix quantum mechanics
• Thermodynamics of the BMN matrix model at strong coupling
• Gauge/gravity duality and lattice simulations of one dimensional SYM with sixteen supercharges
• Solving the eigenvalue problem arising from the adjoint sector of the c=1 matrix model

Cited by in corpus (37)

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• Gauged And Ungauged: A Nonperturbative Test
• Bootstrap bounds on D0-brane quantum mechanics
• Quantum chaos, thermalization and entanglement generation in real-time simulations of the BFSS matrix model
• Toward simulating Superstring/M-theory on a quantum computer
• $\mathcal{N}=(0,2)$ SYK, Chaos and Higher-Spins
• On possible wormhole solutions supported by non-commutative geometry within $f(R,L_m)$ gravity
• Confinement/deconfinement transition in the D0-brane matrix model -- A signature of M-theory?
• The non-perturbative phase diagram of the BMN matrix model
• Spectral form factor for free large $N$ gauge theory and strings
• On Melonic Supertensor Models
• Progress and prospects of lattice supersymmetry
• Areas and entropies in BFSS/gravity duality
• Bulk geometry in gauge/gravity duality and color degrees of freedom
• Scaling similarities and quasinormal modes of D0 black hole solutions
• Lattice studies of supersymmetric gauge theories
• Black Hole Entropy from Quantum Mechanics
• Lorentz Symmetry and IR Structure of The BFSS Matrix Model
• Quantum error correction and large $N$
• Quantum Error Correction in SYK and Bulk Emergence
• Complete Solution of a Gauged Tensor Model
• Estimating truncation effects of quantum bosonic systems using sampling algorithms
• Emergent Area Laws from Entangled Matrices
• Chaos from Equivariant Fields on Fuzzy $S^4$
• Supersymmetric action for multiple D0-brane system
• Metal or Insulator? Dirac operator spectrum in holographic QCD
• Chaos from Massive Deformations of Yang-Mills Matrix Models
• Lifshitz tails at spectral edge and holography with a finite cutoff
• Tensor Field Theories: Renormalization and Random Geometry
• Matrix models and non-Abelian T dual of $Ad{S}_5\times S^5$
• High-Precision Bootstrap of Multimatrix Quantum Mechanics
• Nonperturbative test of the Maldacena-Milekhin conjecture for the BMN matrix model
• Twisting BFSS & IKKT
• Non-perturbative phase structure of the bosonic BMN matrix model