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Measuring small distances in N = 2 sigma models

Publication ,  Journal Article
Aspinwall, PS; Greene, BR; Morrison, DR
Published in: Nuclear Physics, Section B
May 30, 1994

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.

Duke Scholars

Published In

Nuclear Physics, Section B

DOI

ISSN

0550-3213

Publication Date

May 30, 1994

Volume

420

Issue

1-2

Start / End Page

184 / 242

Related Subject Headings

  • Nuclear & Particles Physics
  • 5107 Particle and high energy physics
  • 4902 Mathematical physics
  • 0206 Quantum Physics
  • 0202 Atomic, Molecular, Nuclear, Particle and Plasma Physics
  • 0105 Mathematical Physics
 

Citation

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Aspinwall, P. S., Greene, B. R., & Morrison, D. R. (1994). Measuring small distances in N = 2 sigma models. Nuclear Physics, Section B, 420(1–2), 184–242. https://doi.org/10.1016/0550-3213(94)90379-4
Aspinwall, P. S., B. R. Greene, and D. R. Morrison. “Measuring small distances in N = 2 sigma models.” Nuclear Physics, Section B 420, no. 1–2 (May 30, 1994): 184–242. https://doi.org/10.1016/0550-3213(94)90379-4.
Aspinwall PS, Greene BR, Morrison DR. Measuring small distances in N = 2 sigma models. Nuclear Physics, Section B. 1994 May 30;420(1–2):184–242.
Aspinwall, P. S., et al. “Measuring small distances in N = 2 sigma models.” Nuclear Physics, Section B, vol. 420, no. 1–2, May 1994, pp. 184–242. Scopus, doi:10.1016/0550-3213(94)90379-4.
Aspinwall PS, Greene BR, Morrison DR. Measuring small distances in N = 2 sigma models. Nuclear Physics, Section B. 1994 May 30;420(1–2):184–242.
Journal cover image

Published In

Nuclear Physics, Section B

DOI

ISSN

0550-3213

Publication Date

May 30, 1994

Volume

420

Issue

1-2

Start / End Page

184 / 242

Related Subject Headings

  • Nuclear & Particles Physics
  • 5107 Particle and high energy physics
  • 4902 Mathematical physics
  • 0206 Quantum Physics
  • 0202 Atomic, Molecular, Nuclear, Particle and Plasma Physics
  • 0105 Mathematical Physics