On the geometry of non-trivially embedded branes
Ruben Minasian, Dimitrios Tsimpis
TL;DR
This paper develops a formal supersymmetric solution in type IIB supergravity that generalizes known D3 brane solutions to more complex geometries, including the deformed conifold, without orthogonal splits.
Contribution
It introduces a new class of supersymmetric solutions for type IIB supergravity that encompass more general geometries beyond previous orthogonal split assumptions.
Findings
Explicit supersymmetric solutions for complex geometries.
Application to the deformed conifold geometry.
Generalization of D3 brane solutions.
Abstract
We present a formal supersymmetric solution of type IIB supergravity generalizing previously known solutions corresponding to D3 branes to geometries without an orthogonal split between parallel and transverse directions. The metric is given implicitly as one with respect to which a certain connection is compatible. The case of the deformed conifold is discussed in detail.
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