Covariant quantization of the CBS superparticle

Grassi, Pietro Antonio; Policastro, Giuseppe; Porrati, Massimo

doi:10.1016/s0550-3213(01)00225-5

Cited by 8 publications

(3 citation statements)

References 61 publications

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“…In the original superparticle, one could choose the gauge e = 1, but then κ transformations acquire extra non-local compensating terms with ξ(t) = t dt ′ (4i θk)(t ′ ). 7 We compute the variation of (3.1) under the BRST transformations 6 Recently, two of the authors [13]presented a solution of the quantization of the superparticle using a "twistor"-like redefinition of variables P m γ αβ m = λ α a (σ + + P 2 σ − ) a b λ βb where λ α a are the twistor-like variables and σ ± the Pauli matrices. One way to disentagle the two types of constraints is an infinite number of ghosts.…”

Section: The Superparticlementioning

confidence: 99%

The covariant quantum superstring and superparticle from their classical actions

Grassi¹,

Policastro²,

Nieuwenhuizen³

2003

Physics Letters B

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We develop an approach based on the Noether method to construct nilpotent BRST charges and BRST-invariant actions. We apply this approach first to the holomorphic part of the flat-space covariant superstring, and we find that the ghosts b, c z which we introduced by hand in our earlier work, are needed to fix gauge symmetries of the ghost action. Then we apply this technique to the superparticle and determine its cohomology. Finally, we extend our results to the combined left-and right-moving sectors of the superstring. 9/3/20021

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Section: The Superparticlementioning

confidence: 99%

The covariant quantum superstring and superparticle from their classical actions

Grassi¹,

Policastro²,

Nieuwenhuizen³

2003

Physics Letters B

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“…refs. [7,8]), but most of the proposed solutions to the problem have involved drastic changes of variables, such as twistor [9] methods.…”

Section: Introductionmentioning

confidence: 99%

Pure Spinor Superfields: An Overview

Cederwall

2014

Breaking of Supersymmetry and Ultraviolet Divergences in Extended Supergravity

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Maximally supersymmetric theories do not allow off-shell superspace formulations with traditional superfields containing a finite set of auxiliary fields. It has become clear that off-shell supersymmetric action formulations of such models can be achieved by the introduction of pure spinors. In this talk, an overview of this formalism is given, with emphasis on D = 10 super-Yang-Mills theory and D = 11 supergravity. This a somewhat expanded version of a talk presented at the workshop "Breaking of supersymmetry and ultraviolet divergences in extended supergravity" (BUDS), Laboratori Nazionali di Frascati, March 25-28, 2013.

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“…However, these constraints mix first-class constraintswhich generate the κ-symmetry -with second-class constraints and there is no Lorentz-covariant way to separate the twos. Several procedures were conceived to covariantly quantize these models (see for example [14] and the references therein), but most of them were nonpractical for computations and were abandoned. 2 On the other hand, the recent work by N. Berkovits [16] provides a new technique to handle the quantization of the superparticle and the superstring theory.…”

Section: Introductionmentioning

confidence: 99%

N=2 superparticles, RR fields, and noncommutative structures of (super)-spacetime

Grassi

2006

Eur. Phys. J. C

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The recent developments in superstring theory prompted the study of non-commutative structures in superspace. Considering bosonic and fermionic strings in a constant antisymmetric tensor background yields a non-vanishing commutator between the bosonic coordinates of the spacetime. Likewise, the presence of constant Ramond-Ramond (RR) background leads to a non-vanishing anti-commutator for the Grassmann coordinates of the superspace. The non-vanishing commutation relation between bosonic coordinates can also be derived using a particle moving in a magnetic background, we use N=2 pure spinor superparticles and D0-branes to show how the non-commutative structures emerge in superspace. It is argued how a D0-brane in a background of RR fields reproduces the results obtained in string theory.

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Covariant quantization of the CBS superparticle

Cited by 8 publications

References 61 publications

The covariant quantum superstring and superparticle from their classical actions

The covariant quantum superstring and superparticle from their classical actions

Pure Spinor Superfields: An Overview

N=2 superparticles, RR fields, and noncommutative structures of (super)-spacetime

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