BRST detour quantization: Generating gauge theories from constraints

Cherney, D.; Latini, Emanuele; Waldron, Andrew

doi:10.1063/1.3372732

Cited by 10 publications

(4 citation statements)

References 83 publications

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“…These include relativistic and constant curvature spinning particles, the hydrogen atom with spin and other SO(d, 2) invariant conformal models [15]. Its worldline BRST operator can be treated using the detour methods of [16]. This yields an equivalent, reduced BRST operator…”

Section: First Quantized Dirac Equationmentioning

confidence: 99%

Quantum gravity and causal structures: Second quantization of conformal Dirac algebras

Bonezzi

Corradini²,

Latini³

et al. 2015

Phys. Rev. D

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It is postulated that quantum gravity is a sum over causal structures coupled to matter via scale evolution. Quantized causal structures can be described by studying simple matrix models where matrices are replaced by an algebra of quantum mechanical observables. In particular, previous studies constructed quantum gravity models by quantizing the moduli of Laplace, weight and defining-function operators on Fefferman-Graham ambient spaces. The algebra of these operators underlies conformal geometries. We extend those results to include fermions by taking an osp(1|2) "Dirac square root" of these algebras. The theory is a simple, Grassmann, two-matrix model. Its quantum action is a Chern-Simons theory whose differential is a first-quantized, quantum mechanical BRST operator. The theory is a basic ingredient for building fundamental theories of physical observables.

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Section: First Quantized Dirac Equationmentioning

confidence: 99%

Quantum gravity and causal structures: Second quantization of conformal Dirac algebras

Bonezzi

Corradini²,

Latini³

et al. 2015

Phys. Rev. D

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“…See for instance[38] for the BRST quantization of several worldline models 10. Recall that the ghosts γi and βi are bosonic.…”

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confidence: 99%

Einstein gravity from the $$ \mathcal{N}=4 $$ spinning particle

Bonezzi

Meyer²,

Sachs³

2018

J. High Energ. Phys.

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We obtain a manifestly background independent BRST quantization of the N = 4 supersymmetric spinning particle. We show that nilpotency of the BRST charge Q implies the Einstein equations admitting a cosmological constant of indefinite sign. The physical graviton states are given by the vertex operator, obtained by an infinitesimal variation of Q, acting on diffeomorphism ghost states. In addition, the tree-point graviton scattering vertex is correctly reproduced by the worldline computation with these vertex operators.

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“…in [9]) [11], [12], [13], [20], [22], including the BRST-BFV approach, e.g., in [14]- [19]. For MAS, the problem of field-theoretic description has not been solved completely, except for: massless constrained MS and MAS tensor fields on Minkowsky space, R 1.d−1 , as the elements of irreducible representations of gl(d)-algebra, in terms of multiforms [23] on a base of BRST detour quantization techniques [24], with Einstein operator for the equations of motion; constrained bosonic MAS fields with 2 group indices: Lagrangians for massless HS fields on Minkowsky and for massive HS fields on AdS spaces have been considered respectively in [25], [26], whereas the massless fields at the level of the equations of motion in a frame-like formulation were studied in [27].…”

Section: Introductionmentioning

confidence: 99%

Gauge-invariant Lagrangians for mixed-antisymmetric higher spin fields

Reshetnyak

2017

Phys. Part. Nuclei Lett.

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Lagrangian descriptions of irreducible and reducible integer higher-spin representations of the Poincare group subject to a Young tableaux Y [ŝ 1 ,ŝ 2 ] with two columns are constructed within a metric-like formulation in a d-dimensional flat space-time on the basis of a BRST approach extending the results of [arXiv:1412.0200 [hep-th]]. A Lorentz-invariant resolution of the BRST complex within both the constrained and unconstrained BRST formulations produces a gauge-invariant Lagrangian entirely in terms of the initial tensor fieldwith an additional tower of gauge parameters realizing the (ŝ 1 − 1)-th stage of reducibility with a specific dependence on the value (ŝ 1 −ŝ 2 ) = 0, 1, ...,ŝ 1 . Minimal BRST-BV action is suggested, being proper solution to the master equation in the minimal sector and providing objects appropriate to construct interacting Lagrangian formulations with mixed-antisymmetric fields in a general framework.

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BRST detour quantization: Generating gauge theories from constraints

Cited by 10 publications

References 83 publications

Quantum gravity and causal structures: Second quantization of conformal Dirac algebras

Quantum gravity and causal structures: Second quantization of conformal Dirac algebras

Einstein gravity from the $$ \mathcal{N}=4 $$ spinning particle

Gauge-invariant Lagrangians for mixed-antisymmetric higher spin fields

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