The geometry and topology of the gauge theory/gravity correspondence
Date
2011-03-09
Authors
Carlson, Warren Anthony
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Abstract
The well studied AdS/CFT correspondence describes a duality between gauge
theories and string theories. What is currently lacking is a dictionary translating
gauge theory correlators in space-time to string theory correlators on a
world-sheet. We investigate aspects of world-sheet correlators of closed string
theories dual to large N SU(N) gauge theories following a prescription by
Gopakumar. The prescription presents a concrete mapping of gauge theory
correlators to string theory correlators. Gauge theory correlators are translated
to string world-sheet correlators via a reparametrization by inverse Schwinger
parameters and a mapping to the moduli space of Riemann surfaces (worldsheets)
via a special class of quadratic differentials know as Strebel differentials.