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Rational curves and (0, 2)-deformations

Publication ,  Journal Article
Aspinwall, PS; Gaines, B
Published in: Journal of Geometry and Physics
February 1, 2015

We compare the count of (0, 2)-deformation moduli fields for N=. (2, 2) conformal field theories on orbifolds and sigma-models on resolutions of the orbifold. The latter involves counting deformations of the tangent sheaf. We see there is generally a discrepancy which is expected to be explained by worldsheet instanton corrections coming from rational curves in the orbifold resolution. We analyze the rational curves on the resolution to determine such corrections and discover that irreducible toric rational curves account for some, but not all, of the discrepancy. In particular, this proves that there must be worldsheet instanton corrections beyond those from smooth isolated rational curves.

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Published In

Journal of Geometry and Physics

DOI

ISSN

0393-0440

Publication Date

February 1, 2015

Volume

88

Start / End Page

1 / 15

Related Subject Headings

  • Mathematical Physics
  • 51 Physical sciences
  • 49 Mathematical sciences
  • 02 Physical Sciences
  • 01 Mathematical Sciences
 

Citation

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Aspinwall, P. S., & Gaines, B. (2015). Rational curves and (0, 2)-deformations. Journal of Geometry and Physics, 88, 1–15. https://doi.org/10.1016/j.geomphys.2014.09.012
Aspinwall, P. S., and B. Gaines. “Rational curves and (0, 2)-deformations.” Journal of Geometry and Physics 88 (February 1, 2015): 1–15. https://doi.org/10.1016/j.geomphys.2014.09.012.
Aspinwall PS, Gaines B. Rational curves and (0, 2)-deformations. Journal of Geometry and Physics. 2015 Feb 1;88:1–15.
Aspinwall, P. S., and B. Gaines. “Rational curves and (0, 2)-deformations.” Journal of Geometry and Physics, vol. 88, Feb. 2015, pp. 1–15. Scopus, doi:10.1016/j.geomphys.2014.09.012.
Aspinwall PS, Gaines B. Rational curves and (0, 2)-deformations. Journal of Geometry and Physics. 2015 Feb 1;88:1–15.
Journal cover image

Published In

Journal of Geometry and Physics

DOI

ISSN

0393-0440

Publication Date

February 1, 2015

Volume

88

Start / End Page

1 / 15

Related Subject Headings

  • Mathematical Physics
  • 51 Physical sciences
  • 49 Mathematical sciences
  • 02 Physical Sciences
  • 01 Mathematical Sciences