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BRST quantization of the superparticle
Physics Letters B, 1988 Abstract We show that the quantization of the superparticle action is possible. This is done by shifts in the BRST operator and the resulting action has an infinite number of ghosts. The total BRST operator is given by an infinite sum and is shown to be nilpotent. We also obtain a BRST invariant kinetic operator that contains the dynamical, auxiliary
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Geometric BRST quantization, I: Prequantization [PDF]
Communications in Mathematical Physics, 1991 This is the first part of a two-part paper dedicated to the definition of BRST quantization in the framework of geometric quantization. After recognizing prequantization as a manifestation of the Poisson module structure of the sections of the prequantum line bundle, we define BRST prequantization and show that it is the homological analog of the ...
Figueroa-O'Farrill, José M. +1 more
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Journal of High Energy Physics, 2022 The string vertices of closed string field theory are subsets of the moduli spaces of punctured Riemann surfaces that satisfy a geometric version of the Batalin-Vilkovisky master equation.
Kevin Costello, Barton Zwiebach
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Journal of High Energy Physics, 2020 We introduce a convolution on a 2-sphere and use it to show that the linearised Becchi-Rouet-Stora-Tyutin transformations and gauge fixing conditions of Einstein-Hilbert gravity coupled to a two-form and a scalar field, follow from the product of two ...
L. Borsten, I. Jubb, V. Makwana, S. Nagy
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Off-shell divergences in quantum gravity
Journal of High Energy Physics, 2023 We investigate off-shell perturbative renormalisation of pure quantum gravity for both background metric and quantum fluctuations. We show that at each new loop order, the divergences that do not vanish on-shell are constructed from only the total metric,
Vlad-Mihai Mandric +2 more
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BRST quantization of quasisymplectic manifolds and beyond [PDF]
Journal of Mathematical Physics, 2006 We consider a class of factorizable Poisson brackets which includes almost all reasonable Poisson structures. A particular case of the factorizable brackets are those associated with symplectic Lie algebroids. The BRST theory is applied to describe the geometry underlying these brackets as well as to develop a deformation quantization procedure in this
A. A. Sharapov, S. L. Lyakhovich
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Proper BRST quantization of relativistic particles [PDF]
Nuclear Physics B, 1994 37,ITP-G\"{o}teborg 93-18 ...
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Notes on the D = 11 pure spinor superparticle
Journal of High Energy Physics, 2019 The D = 11 pure spinor superparticle has been shown to describe linearized D = 11supergravityinamanifestlycovariantway. Anumberofauthorshaveproposedthat its correlation functions be used to compute amplitudes.
Nathan Berkovits +3 more
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KPZ Analysis for $W_3$ Gravity
, 1992 Starting from the covariant action for $W_3$ gravity, we discuss the BRST quantization of $W_3$ gravity. Taking the chiral gauge the BRST charge has a natural interpretation in terms of the quantum Drinfeld--Sokolov reduction for $Sl(3,\re)$.
Bergshoeff +29 more
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Massive gravity from a first-quantized perspective
European Physical Journal C: Particles and FieldsIn this work, we investigate the BRST quantization of the massive $${\mathcal {N}}=4$$ N = 4 supersymmetric spinning particle, with a twofold purpose: exploring different approaches to give mass to spinning particle models and formulating a first ...
Filippo Fecit
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