Math @ Duke

Publications [#303518] of Paul S. Aspinwall
Papers Published
 Aspinwall, PS, A McKaylike correspondence for (0, 2)deformations,
Advances in Theoretical and Mathematical Physics, vol. 18 no. 4
(January, 2014),
pp. 761797, International Press of Boston [1110.2524], [1110.2524v3], [doi]
(last updated on 2022/01/21)
Abstract: We present a local computation of deformations of the tangent bundle for a resolved orbifold singularity Cd/G. These correspond to (0, 2)deformations of (2, 2)theories. A McKaylike correspondence is found predicting the dimension of the space of firstorder deformations from simple calculations involving the group. This is confirmed in two dimensions using the KronheimerNakajima quiver construction. In higher dimensions such a computation is subject to nontrivial worldsheet instanton corrections and some examples are given where this happens. However, we conjecture that the special crepant resolution given by the GHilbert scheme is never subject to such corrections, and show this is true in an infinite number of cases. Amusingly, for threedimensional examples where G is abelian, the moduli space is associated to a quiver given by the toric fan of the blowup. It is shown that an orbifold of the form C3/Z7 has a nontrivial superpotential and thus an obstructed moduli space.


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