Geometric engineering of quantum field theories

Sheldon Katz, Albrecht Klemm, Cumrun Vafa

Research output: Contribution to journalArticle

Abstract

Using the recent advances in our understanding of non-perturbative aspects of type II strings we show how non-trivial exact results for N = 2 quantum field theories can be reduced to T-dualities of string theory. This is done by constructing a local geometric realization of quantum field theories together with a local application of mirror symmetry. This construction is not based on any duality conjecture and thus reduces non-trivial quantum field theory results to much better understood T-dualities of type II strings. Moreover it can be used in principle to construct in a systematic way the vacuum structure for arbitrary N = 2 gauge theories with matter representations.

Original languageEnglish (US)
Pages (from-to)173-195
Number of pages23
JournalNuclear Physics B
Volume497
Issue number1-2
DOIs
StatePublished - Jul 21 1997
Externally publishedYes

Keywords

  • Local mirror symmetry
  • N = 2 supersymmetric Yang-Mills theories
  • Type ii string compactification on Calabi-Yau manifolds
  • World-sheet and space-time instantons

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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