TH String Theory Seminar

Decoding a conformal manifold

by Marco Baggio (KU Leuven)

4-3-006 - TH Conference Room (CERN)

4-3-006 - TH Conference Room


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In this talk I describe a one-dimensional complex conformal manifold that characterizes the infrared dynamics of a three-dimensional N = 2 supersymmetric theory of three chiral superfields with a cubic superpotential.
The manifold of fixed points interpolates between the well-known XYZ model and three decoupled copies of the critical Wess-Zumino model.
The resulting family of CFTs enjoys a duality group of order 24, which puts strong constraints on the operator spectrum, OPE coefficients and the global topology of the conformal manifold.
The 4 − epsilon expansion and the numerical conformal bootstrap are used to verify the predictions from duality and calculate the conformal dimensions and OPE coefficients of low-lying operators.

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