Holographic duality, supersymmetry, and Painleve equation

Details Holographic duality, supersymmetry, and Painleve equation Holographic duality, supersymmetry, and Painleve equation

2000-05-02

arxiv.org/abs/hep-th/0005020v2

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX; reduced to 6 pages; invited talk given at the Fradkin Memorial Conference, Moscow, June 2000

Scientific paper

An example of the holographic correspondence between 2d, N=2 quantum field theories and classical 4d, N=2 supergravity theories is found. The constraints on the target space geometry of the 4d, N=2 non-linear sigma-models in N=2 supergravity background are interpreted as the renormalization flow equations in two dimensions. Our geometrical description of the renormalization flow is manifestly covariant under reparametrization of the 2d coupling constants. The proposed holography is described in terms of the (Weyl) anti-self-dual Einstein metrics, whose exact regular (Tod-Hitchin) solutions are governed by the Painleve VI equation.

Affiliated with

Also associated with

No associations

Rating

Holographic duality, supersymmetry, and Painleve equation does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Holographic duality, supersymmetry, and Painleve equation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Holographic duality, supersymmetry, and Painleve equation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-98410