Math @ Duke

Publications [#243266] of Paul S. Aspinwall
Papers Published
 Aspinwall, PS; Gaines, B, Rational curves and (0, 2)deformations,
Journal of Geometry and Physics, vol. 88
(February, 2015),
pp. 115, Elsevier BV, ISSN 03930440 [arXiv:1404.7802], [doi]
(last updated on 2021/05/15)
Abstract: We compare the count of (0, 2)deformation moduli fields for N=. (2, 2) conformal field theories on orbifolds and sigmamodels 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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