Criteria for conformal invariance of (0, 2) models

Eva Silverstein, Edward Witten

Research output: Contribution to journalArticlepeer-review

122 Scopus citations


It is argued that many linear (0,2) models flow in the infrared to conformally invariant solutions of string theory. The strategy in the argument is to show that the effective space-time superpotential must vanish because there is no place where it can have a pole. This conclusion comes from either of two different analyses, in which the Kähler class or the complex structure of the gauge bundle is varied, while keeping everything else fixed. In the former case, we recover from the linear sigma model the usual simple pole in the 273 Yukawa coupling but show that an analogous pole does not arise in the couplings of gauge singlet modes. In the latter case, a dimension count shows that the world-sheet instanton sum does not "see" the singularities of the gauge bundle and hence cannot have a pole.

Original languageEnglish (US)
Pages (from-to)161-190
Number of pages30
JournalNuclear Physics, Section B
Issue number1-2
StatePublished - Jun 19 1995
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics


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