Math @ Duke

Publications [#303516] of Paul S. Aspinwall
Papers Published
 Addington, N; Aspinwall, PS, Categories of massless Dbranes and del Pezzo surfaces,
Journal of High Energy Physics, vol. 2013 no. 7
(August, 2013), Springer Nature [1305.5767v2], [doi]
(last updated on 2019/06/16)
Abstract: In analogy with the physical concept of a massless Dbrane, we define a notion of "Qmasslessness" for objects in the derived category. This is defined in terms of monodromy around singularities in the stringy Kähler moduli space and is relatively easy to study using "spherical functors". We consider several examples in which del Pezzo surfaces and other rational surfaces in CalabiYau threefolds are contracted. For precisely the del Pezzo surfaces that can be written as hypersurfaces in weighted P 3 , the category of "Qmassless" objects is a "fractional CalabiYau" category of graded matrix factorizations. © 2013 SISSA, Trieste, Italy.


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