N=2 structures in string theories
Abstract
The BRST cohomology of any topological conformal field theory admits the structure of a Batalin{endash}Vilkovisky algebra, and string theories are no exception. Loosely speaking, we say that two topological conformal field theories are cohomologically equivalent if their BRST cohomologies are isomorphic as Batalin{endash}Vilkovisky algebras. In this paper we argue that any string theory (regardless of the matter background) is cohomologically equivalent to some twisted N=2 superconformal field theory. We discuss three string theories in detail: the bosonic string, the NSR string and the W{sub 3} string. In each case the way the cohomological equivalence is constructed can be understood as coupling the topological conformal field theory to topological gravity. These results lend further supporting evidence to the conjecture that any topological conformal field theory is cohomologically equivalent to some topologically twisted N=2 superconformal field theory. We end the paper with some speculative comments on Massey products in topological conformal field theories. {copyright} {ital 1997 American Institute of Physics.}
 Authors:

 Department of Physics, Queen Mary and Westfield College, Mile End Road, London E1 4NS (United Kingdom)
 Publication Date:
 OSTI Identifier:
 544810
 Resource Type:
 Journal Article
 Journal Name:
 Journal of Mathematical Physics
 Additional Journal Information:
 Journal Volume: 38; Journal Issue: 11; Other Information: PBD: Nov 1997
 Country of Publication:
 United States
 Language:
 English
 Subject:
 66 PHYSICS; STRING MODELS; QUANTUM GRAVITY; QUANTUM FIELD THEORY; CONFORMAL INVARIANCE; ALGEBRA; TOPOLOGY
Citation Formats
FigueroaOFarrill, J M. N=2 structures in string theories. United States: N. p., 1997.
Web. doi:10.1063/1.532151.
FigueroaOFarrill, J M. N=2 structures in string theories. United States. https://doi.org/10.1063/1.532151
FigueroaOFarrill, J M. Sat .
"N=2 structures in string theories". United States. https://doi.org/10.1063/1.532151.
@article{osti_544810,
title = {N=2 structures in string theories},
author = {FigueroaOFarrill, J M},
abstractNote = {The BRST cohomology of any topological conformal field theory admits the structure of a Batalin{endash}Vilkovisky algebra, and string theories are no exception. Loosely speaking, we say that two topological conformal field theories are cohomologically equivalent if their BRST cohomologies are isomorphic as Batalin{endash}Vilkovisky algebras. In this paper we argue that any string theory (regardless of the matter background) is cohomologically equivalent to some twisted N=2 superconformal field theory. We discuss three string theories in detail: the bosonic string, the NSR string and the W{sub 3} string. In each case the way the cohomological equivalence is constructed can be understood as coupling the topological conformal field theory to topological gravity. These results lend further supporting evidence to the conjecture that any topological conformal field theory is cohomologically equivalent to some topologically twisted N=2 superconformal field theory. We end the paper with some speculative comments on Massey products in topological conformal field theories. {copyright} {ital 1997 American Institute of Physics.}},
doi = {10.1063/1.532151},
url = {https://www.osti.gov/biblio/544810},
journal = {Journal of Mathematical Physics},
number = 11,
volume = 38,
place = {United States},
year = {1997},
month = {11}
}