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Title: Covariant canonical superstrings

Abstract

A covariant canonical formulation of generic superstrings is presented. The (super)geometry emerges dynamically and supergravity transformations are identified with particular canonical transformations. By construction these transformations are off-shell closed, and the necessary auxiliary fields can be identified with canonical momenta.

Authors:
; ;
Publication Date:
Research Org.:
Dept. of Physics, Ohio State Univ., Columbus, OH (US)
OSTI Identifier:
5054336
Resource Type:
Journal Article
Resource Relation:
Journal Name: Mod. Phys. Lett. A; (United States); Journal Volume: 2:12
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; STRING MODELS; DIFFERENTIAL GEOMETRY; SUPERGRAVITY; TRANSFORMATIONS; COMPOSITE MODELS; EXTENDED PARTICLE MODEL; FIELD THEORIES; GEOMETRY; MATHEMATICAL MODELS; MATHEMATICS; PARTICLE MODELS; QUARK MODEL; UNIFIED-FIELD THEORIES; 657000* - Theoretical & Mathematical Physics

Citation Formats

Aratyn, H., Ingermanson, R., and Niemi, A.J.. Covariant canonical superstrings. United States: N. p., 1987. Web. doi:10.1142/S021773238700121X.
Aratyn, H., Ingermanson, R., & Niemi, A.J.. Covariant canonical superstrings. United States. doi:10.1142/S021773238700121X.
Aratyn, H., Ingermanson, R., and Niemi, A.J.. 1987. "Covariant canonical superstrings". United States. doi:10.1142/S021773238700121X.
@article{osti_5054336,
title = {Covariant canonical superstrings},
author = {Aratyn, H. and Ingermanson, R. and Niemi, A.J.},
abstractNote = {A covariant canonical formulation of generic superstrings is presented. The (super)geometry emerges dynamically and supergravity transformations are identified with particular canonical transformations. By construction these transformations are off-shell closed, and the necessary auxiliary fields can be identified with canonical momenta.},
doi = {10.1142/S021773238700121X},
journal = {Mod. Phys. Lett. A; (United States)},
number = ,
volume = 2:12,
place = {United States},
year = 1987,
month =
}
  • Becchi-Rouet-Stora invariance is used to second quantize the free superstring covariantly in the Neveu-Schwarz-Ramond formalism. The massless sector is shown to be the gauge-fixed supersymmetric Yang-Mills theory. A method to find a gauge-covariant local formulation is also discussed.
  • The authors construct covariant field theories of both type-II and heterotic strings. Toroidal compactification is also considered. The interaction vertices are based on Witten's vertex representing three strings interacting at the mid-point. For closed strings, the authors thus obtain a bilocal interaction.
  • A manifestly covariant quantization of the superstring is presented in the Neveu-Schwarz-Ramond formalism on the basis of the Becchi-Rouet-Stora (BRS) invariance principle. The critical dimension D = 10 and the correct Regge intercept are shown to follow from the requirement of the nilpotency Q/sub B/ /sup 2/ = 0 of the BRS charge. A modified form of the subsidiary condition of Kugo and Ojima Q/sub B/Vertical Barphys> = 0 to define the physical subspace is sufficient to demonstrate the no-ghost theorem.
  • A method for the covariant canonical quanitzation of a wide class of gauge theories with reducible first- and second-class constraints which includes the Brink-Schwarz superparticle is obtained. The application to the Brink-Schwarz superparticle is discussed in detail. The canonical Batalin-Fradkin-Vilkovisky construction of the correct Becchi-Rouet-Stora-Tyutin (BRST) operator and the BRST-invariant effective action is presented and shown to agree with the expressions obtained by Kallosh and Bergshoeff using other methods. The correct gauge-fixing procedure to recover the Brink-Schwarz superparticle action is discussed.