Massive quiver matrix models for massive charged particles in AdS

Asplund, Curtis T.; Denef, Frederik; Dzienkowski, Eric

doi:10.1007/jhep01(2016)055

Cited by 14 publications

(49 citation statements)

References 53 publications

(203 reference statements)

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“…We now consider states with fermion number R = N 2 − N . The fuzzy sphere background is now supersymmetric at large positive ν [32]. The contribution of the fermions to the ground state energy is seen in Appendix C to cancel the bosonic contribution (4.8) at one loop:…”

Section: Numerical Results Supersymmetric Sectormentioning

confidence: 98%

“…The mini-BMN model can be realized in string theory as the description of N D-particles in an AdS 4 spacetime. Let us review some aspects of this realization [32]. The parameter…”

Section: Discussionmentioning

confidence: 99%

“…The potential energy in (1.1) is a total square: V (X) = 1 4 tr ν ijk X k + i[X i , X j ] 2 . The supersymmetric extension of this model [32], discussed below, can be thought of as a simplified version of the BMN matrix quantum mechanics [33]. We refer to the supersymmetric model as 'mini-BMN', following [34].…”

Section: Introductionmentioning

confidence: 99%

“…In string-theoretic constructions, fuzzy spheres arise from the polarization of D branes in background fields [41][42][43][44]. A matrix quantum mechanics theory such as (1.1) describes N 'D0 branes' -see [32] and the discussion section below for a more precise characterization of the string theory embedding of mini-BMN theory -and the maximal fuzzy sphere corresponds to a configuration in which the D0 branes polarize into a single spherical D2 brane. There is no gravity associated to this emergent space, the emergent fields describe the low energy worldvolume dynamics of the D2 brane.…”

Section: Introductionmentioning

confidence: 99%

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Deep Quantum Geometry of Matrices

Han

Hartnoll

2020

Phys. Rev. X

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We employ machine learning techniques to provide accurate variational wavefunctions for matrix quantum mechanics, with multiple bosonic and fermionic matrices.Variational quantum Monte Carlo is implemented with deep generative flows to search for gauge invariant low energy states. The ground state, and also long-lived metastable states, of an SU(N ) matrix quantum mechanics with three bosonic matrices, as well as its supersymmetric 'mini-BMN' extension, are studied as a function of coupling and N .Known semiclassical fuzzy sphere states are recovered, and the collapse of these geometries in more strongly quantum regimes is probed using the variational wavefunction.We then describe a factorization of the quantum mechanical Hilbert space that corresponds to a spatial partition of the emergent geometry. Under this partition, the fuzzy sphere states show a boundary-law entanglement entropy in the large N limit.

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Section: Numerical Results Supersymmetric Sectormentioning

confidence: 98%

“…The mini-BMN model can be realized in string theory as the description of N D-particles in an AdS 4 spacetime. Let us review some aspects of this realization [32]. The parameter…”

Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Deep Quantum Geometry of Matrices

Han

Hartnoll

2020

Phys. Rev. X

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“…This kind of deformed N = 4 supersymmetric mechanics was introduced and studied in[13,14,15,16,17,18]. Some of the SU(2|1) models can be derived by a dimensional reduction from N = 1 Lagrangians on the curved d = 4 manifold R × S 3[19,20].…”

mentioning

confidence: 99%

Quantum SU(2|1) supersymmetric Calogero-Moser spinning systems

Fedoruk¹,

Ivanov²,

Lechtenfeld

et al. 2018

J. High Energ. Phys.

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SU(2|1) supersymmetric multi-particle quantum mechanics with additional semi-dynamical spin degrees of freedom is considered. In particular, we provide an N = 4 supersymmetrization of the quantum U(2) spin Calogero-Moser model, with an intrinsic mass parameter coming from the centrally-extended superalgebra su(2|1). The full system admits an SU(2|1) covariant separation into the center-of-mass sector and the quotient. We derive explicit expressions for the classical and quantum SU(2|1) generators in both sectors as well as for the total system, and we determine the relevant energy spectra, degeneracies, and the sets of physical states.2 It was shown in [17], that the centrally extended superalgebra su(2|1) can be represented as a semi-direct sum of su(2|1) and an extra R-symmetry generator: su(2|1) ≃ su(2|1)+ ⊃ u(1). The central charge is a combination of the R-symmetry generator and the internal U(1) generator of su(2|1). In the models under consideration the central charge operator is identified with the canonical Hamiltonian.3 The kinetic term of the variables Z k a in the action (1.5) is of the first-order in the time derivatives, in contrast to the dynamical variable X a b with the second-order kinetic term. Just for this reason we call Z k a ,Z a k semi-dynamical variables. In the Hamiltonian (see below), they appear only in the interaction terms and enter through the SU(2) current S (ik) .

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Deformed supersymmetric quantum mechanics with spin variables

Fedoruk¹,

Ivanov²,

Sidorov³

2018

J. High Energ. Phys.

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Abstract:We quantize the one-particle model of the SU(2|1) supersymmetric multiparticle mechanics with the additional semi-dynamical spin degrees of freedom. We find the relevant energy spectrum and the full set of physical states as functions of the massdimension deformation parameter m and SU(2) spin q ∈ Z >0 , 1/2 + Z 0 . It is found that the states at the fixed energy level form irreducible multiplets of the supergroup SU(2|1) . Also, the hidden superconformal symmetry OSp(4|2) of the model is revealed in the classical and quantum cases. We calculate the OSp(4|2) Casimir operators and demonstrate that the full set of the physical states belonging to different energy levels at fixed q are unified into an irreducible OSp(4|2) multiplet.

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Massive quiver matrix models for massive charged particles in AdS

Cited by 14 publications

References 53 publications

Deep Quantum Geometry of Matrices

Deep Quantum Geometry of Matrices

Quantum SU(2|1) supersymmetric Calogero-Moser spinning systems

Deformed supersymmetric quantum mechanics with spin variables

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