New Type IIB Vacua and their F-Theory Interpretation

TL;DR

This paper explores new Type IIB string theory vacua with specific geometric structures, analyzing their supersymmetry properties and F-theory interpretations through complex surface classifications.

Contribution

It introduces a class of Type IIB vacua characterized by D3-D7 systems with geometries over specific complex surfaces, expanding the landscape of known solutions and their F-theory descriptions.

Findings

Classified vacua over P^1 x P^1, P^2, and blow-ups of P^2

Vacua exhibit varying degrees of supersymmetry

Connected geometric structures to F-theory compactifications

Abstract

We discuss a D3-D7 system in type IIB string theory. The near-horizon geometry is described by AdS^5 x X^5 where X^5 is a U(1) bundle over a Kahler-Einstein complex surface S with positive first Chern class c_1>0. The surface S can either be P^1 x P^1, P^2 or P_{n_1,...,n_k}, a blow up of P^2 at k points with 3\leq k\leq 8. The P^2 corresponds to the maximally supersymmetric AdS^5 x S^5 vacuum while the other cases lead to vacua with less supersymmetries. In the F-theory context they can be viewed as compactifications on elliptically fibered almost Fano 3-folds.