1/2-BPS Correlators as c=1 S-matrix

Details 1/2-BPS Correlators as c=1 S-matrix 1/2-BPS Correlators as c=1 S-matrix

2006-12-25

arxiv.org/abs/hep-th/0612262v2

JHEP 0703:001,2007

Physics

High Energy Physics

High Energy Physics - Theory

28 pages, 3 figures, corrected typos, version to appear in JHEP

Scientific paper

10.1088/1126-6708/2007/03/001

We argue from two complementary viewpoints of Holography that the 2-point correlation functions of 1/2-BPS multi-trace operators in the large-N (planar) limit are nothing but the (Wick-rotated) S-matrix elements of c=1 matrix model. On the bulk side, we consider an Euclideanized version of the so-called bubbling geometries and show that the corresponding droplets reach the conformal boundary. Then the scattering matrix of fluctuations of the droplets gives directly the two-point correlators through the GKPW prescription. On the Yang-Mills side, we show that the two-point correlators of holomorphic and anti-holomorphic operators are essentially equivalent with the transformation functions between asymptotic in- and out-states of c=1 matrix model. Extension to non-planar case is also discussed.

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