23–26 Sept 2014
DESY Hamburg
Europe/Berlin timezone

Integrability in planar N=2 gauge theories

24 Sept 2014, 14:40
20m
Seminar room 1 (DESY Hamburg)

Seminar room 1

DESY Hamburg

Notkestrasse 85, 22607 Hamburg

Speaker

Dr Elli Pomoni (DESY)

Description

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, namely the SU(2,1|2) sector. 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. For each N=2 theory the universal function f(g) can be obtained by computing the circular Wilson loop using localization and comparing it to the N = 4 one.

Primary author

Dr Elli Pomoni (DESY)

Presentation materials