Measuring small distances in N = 2 sigma models

Journal Article (Journal Article)

We analyze global aspects of the moduli space of Kähler forms for N = (2,2) conformal σ-models. Using algebraic methods and mirror symmetry we study extensions of the mathematical notion of length (as specified by a Kähler structure) to conformal field theory and calculate the way in which lengths change as the moduli fields are varied along distinguished paths in the moduli space. We find strong evidence supporting the notion that, in the robust setting of quantum Calabi-Yau moduli space, string theory restricts the set of possible Kähler forms by enforcing "minimal length" scales, provided that topology change is properly taken into account. Some lengths, however, may shrink to zero. We also compare stringy geometry to classical general relativity in this context. © 1994.

Full Text

Duke Authors

Cited Authors

  • Aspinwall, PS; Greene, BR; Morrison, DR

Published Date

  • May 30, 1994

Published In

Volume / Issue

  • 420 / 1-2

Start / End Page

  • 184 - 242

International Standard Serial Number (ISSN)

  • 0550-3213

Digital Object Identifier (DOI)

  • 10.1016/0550-3213(94)90379-4

Citation Source

  • Scopus