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To gauge or not to gauge?
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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.
Forward citations
Cited by 6 Pith papers
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An effective field theory approach to the sign problem in BFSS
The Pfaffian phase in BFSS becomes an O(9) pseudoscalar operator in a bosonic matrix integral, requiring 10-loop order in the high-T expansion before the sign problem is detectable in the 't Hooft regime.
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An exact algorithm for U(N) matrix models in the gauge-invariant singlet sector
A group-theoretic algorithm computes U(N)-singlet Hamiltonian matrix elements as closed-form polynomials in N, validated for one matrix against the exact fermion mapping.
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Quantum Horizon and Quantum Membrane Paradigm from Black Hole Quantum Mechanics
Horizon partons on the fuzzy sphere form lowest-Landau-level states under an intrinsic Berry monopole, generating Ohmic, Hall and polarization currents that a link-field condensate locks to the bulk Maxwell field, yie...
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Regge trajectories from the adjoint sector of Matrix Quantum Mechanics
At criticality in the adjoint sector of matrix quantum mechanics, the spectrum exhibits Regge trajectories Δ² ~ n/α' interpreted as oscillatory excitations of short folded open strings in the dual 2D string theory.
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Twisting BFSS & IKKT
The minimal supersymmetric twists of the IKKT and BFSS matrix models are computed in BV-BRST cohomology and matched, in the planar limit, to BCOV-type twisted IIB and IIA supergravity; the non-minimal twists are local...
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High-Precision Bootstrap of Multimatrix Quantum Mechanics
Semidefinite bootstrap bounds fix the large-N ground-state energy and ⟨trX²⟩ of bosonic matrix quantum mechanics to up to eight significant digits.
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