Particle Physics Seminar, Yue Zhao, Stanford U."The Solution of (Little) Hierarchy Problem in AdS3/CFT2 Avatar"

Feb 20, 2015, 4:00 pm5:00 pm
Jadwin 111


Event Description
There is an avatar of the (little) hierarchy problem of the MSSM in 3-dimensional supersymmetry. We propose a solution to this problem in AdS3. The generalization to AdS5 is possible which may have implication to Randall-Sundrum model. In the AdS3 toy model, the bulk theory is a supergravity theory in which U(1) × U(1) R-symmetry is gauged by Chern-Simons fields. The bulk theory is deformed by a boundary term quadratic in the gauge fields. It breaks SUSY completely and sources an exactly marginal operator in the dual CFT. SUSY breaking is communicated by gauge interactions to bulk scalar fields and their spinor superpartners. Since the R-charges of scalar and spinor differ, this generates a SUSY breaking shift of their masses. The Ward identity facilitates the calculation of these mass shifts to any desired order in the strength of the deformation. Moduli fields are massless R-neutral bulk scalars with vanishing potential in the undeformed theory. These properties are maintained to all orders in the deformation despite the fact that moduli couple in the bulk to loops of R-charged fields.