Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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2004-06-17

JHEP 0609 (2006) 063

Physics

High Energy Physics

High Energy Physics - Theory

26 pages, harvmac + amssym

Scientific paper

10.1088/1126-6708/2006/09/063

We argue that the complete Klebanov-Witten flow solution must be described by a Calabi-Yau metric on the conifold, interpolating between the orbifold at infinity and the cone over T^(1,1) in the interior. We show that the complete flow solution is characterized completely by a single, simple, quasi-linear, second order PDE, or "master equation," in two variables. We show that the Pilch-Warner flow solution is almost Calabi-Yau: It has a complex structure, a hermitian metric, and a holomorphic (3,0)-form that is a square root of the volume form. It is, however, not Kahler. We discuss the relationship between the master equation derived here for Calabi-Yau geometries and such equations encountered elsewhere and that govern supersymmetric backgrounds with multiple, independent fluxes.

**Halmagyi Nick**

Physics – High Energy Physics – High Energy Physics - Theory

Scientist

**Pilch Krzysztof**

Physics – High Energy Physics – High Energy Physics - Theory

Scientist

**Romelsberger Christian**

Physics – High Energy Physics – High Energy Physics - Theory

Scientist

**Warner Nicholas P.**

Physics – High Energy Physics – High Energy Physics - Theory

Scientist

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