Partition functions and physical states in two-dimensional quantum gravity and supergravity

Michael Bershadsky, Igor R. Klebanov

Research output: Contribution to journalArticle

37 Scopus citations

Abstract

We review the Liouville theory calculation of the genus-one path integral for c ≤ 1 conformal models coupled to two-dimensional gravity. From the modular integrand we derive the existence of an infinite number of physical operators which are in one-to-one correspondence with the conformal primary fields and null states of the matter theory. We also calculate the torus path integral and find the spectrum of physical operators for c ̂ ≤ 1 superconformal models coupled to supergravity. The amplitude in the odd spin structure requires a special treatment and is found to be proportional to the Witten index of the matter theory.

Original languageEnglish (US)
Pages (from-to)559-585
Number of pages27
JournalNuclear Physics, Section B
Volume360
Issue number2-3
DOIs
StatePublished - Aug 19 1991

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

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