String Theory Seminar
Thursday, February 3, 2000, 4:00pm, 120 Physics
Rajesh Gopakumar (Harvard)
exp(N)
Abstract:- The connection between large N gauge theories and string theories is
typically made perturbatively. Namely, the Taylor expansion in 1/N
corresponds to the genus expansion in string theory. Instanton effects in
the gauge theory, however, go like exp(-N) and correspond to
non-perturbative effects in the string theory. I will argue, in the
context of the N=4 super Yang-Mills theory, how very non-trivial large
N non-renormalization theorems in this instanton sector follow
simply from the dual string description. The argument assumes little other
than the existence of a derivative expansion in string theory. As a
particular example, one can explain the striking agreement found by
Dorey et al between certain weak coupling instanton calculations
and the strong coupling predictions of supergravity.
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