Math @ Duke

Publications [#243286] of Paul S. Aspinwall
Papers Published
 Aspinwall, PS; Donagi, RY, The heterotic string, The tangent bundle and derived categories,
Advances in Theoretical and Mathematical Physics, vol. 2 no. 5
(January, 1998),
pp. 10411074, International Press of Boston, ISSN 10950761 [hepth/9806094], [doi]
(last updated on 2019/04/25)
Abstract: We consider the compactification of the E8×E8heterotic string on a K3 surface with "the spin connection embedded in the gauge group" and the dual picture in the type IIA string (or Ftheory) on a CalabiYau threefold X. It turns out that the same X arises also as dual to a heterotic compactification on 24 pointlike instantons. X is necessarily singular, and we see that this singularity allows the RamondRamond moduli on X to split into distinct components, one containing the (dual of the heterotic) tangent bundle, while another component contains the pointlike instantons. As a practical application we derive the result that a heterotic string compactified on the tangent bundle of a K3 with ADE singularities acquires nonperturbatively enhanced gauge symmetry in just the same fashion as a type IIA string on a singular K3 surface. On a more philosophical level we discuss how it appears to be natural to say that the heterotic string is compactified using an object in the derived category of coherent sheaves. This is necessary to properly extend the notion of Tduality to the heterotic string on a K3 surface. © 1998 International Press.


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