Resolution à la Kronheimer of $$\mathbb {C}^3/\Gamma $$ singularities and the Monge–Ampère equation for Ricci-flat Kähler metrics in view of D3-brane solutions of supergravity

Bianchi, Massimo; Bruzzo, Ugo; Fré, Pietro; Martelli, Dario

doi:10.1007/s11005-021-01420-2

Public

Resolution à la Kronheimer of $$\mathbb {C}^3/\Gamma $$ singularities and the Monge–Ampère equation for Ricci-flat Kähler metrics in view of D3-brane solutions of supergravity

Published in Letters in Mathematical Physics • Jun 1, 2021

Authors:

Massimo Bianchi

Ugo Bruzzo

Pietro Fré

Abstract

Abstract In this paper, we analyze the relevance of the generalized Kronheimer construction for the gauge/gravity correspondence. We begin with the general structure of D3-brane solutions of type IIB supergravity on smooth manifolds $$Y^\Gamma $$ Y Γ that are supposed to be the crepant resolution of...

Subject

Supergravity

Conjecture

Mathematical physics

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