Math @ Duke

Publications [#303518] of Paul S. Aspinwall
Papers Published
 Aspinwall, PS, A McKayLike Correspondence for (0,2)Deformations, vol. 18 no. 4
(2014),
pp. 761797 [1110.2524], [1110.2524v3]
(last updated on 2018/02/17)
Abstract: We present a local computation of deformations of the tangent bundle for a
resolved orbifold singularity C^d/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 C^3/Z7 has a
nontrivial superpotential and thus an obstructed moduli space.


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