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Department of Mathematical Sciences

Seminar Archives

On this page you can find information about seminars in this and previous academic years, where available on the database.

Maths HEP Lunchtime Seminars: Integrability and Exact results in N=2 gauge theory

Presented by Elli Pomoni, DESY Hamburg

20 November 2015 13:00 in CM221

Any N=2 gauge theory in four dimensions contains a set of local
operators made only out of fields in the N=2 vector multiplet that is
closed under renormalization to all loops, with SU(2,1|2) symmetry. We
present a diagrammatic argument that for any planar N=2 theory the
SU(2,1|2) Hamiltonian acting on infinite spin chains is identical to
all loops to that of N=4 SYM, up to a redefinition of the coupling
constant g^2 → f(g^2). Thus, this sector is integrable and anomalous
dimensions can be read off from the N=4 ones up to this redefinition.
The functions f(g^2) dubbed as effective couplings encode the
relative, finite renormalization between the N=2 and the N=4 gluon
propagator and thus can be computed in perturbation theory using
Feynman diagrams. For each N=2 theory exact effective couplings can be
obtained by computing different exact results for localizable
observables such as Wilson loops and the Bremsstrahlung function and
by comparing them with their N = 4 counterparts.

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