64 citations · 478 across the 63 of their papers we have counts for
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Deformation quantization as the origin of D-brane non-Abelian degrees of freedom
Vipul Periwal
I construct a map from the Grothendieck group of coherent sheaves to -homology. This results in explicit realizations of -homology cycles associated with D-brane configuratio…
D-brane charges and K-homology
Vipul Periwal
It is argued that D-brane charge takes values in K-homology. For smooth manifolds with spin structure, this could explain why the phase factor calculated with a D-brane stat…
Nonperturbative effects in deformation quantization
Vipul Periwal
The Cattaneo-Felder path integral form of the perturbative Kontsevich deformation quantization formula is used to explicitly demonstrate the existence of nonperturbative correction…
Schwinger-Dyson = Wheeler-DeWitt: gauge theory observables as bulk operators
Gilad Lifschytz, Vipul Periwal
We argue that the second-order gauge-invariant Schwinger-Dyson operator of a gauge theory is the Wheeler-DeWitt operator in the dual string theory. Using this identification, we co…