"The AdS_3/CFT_2 Avatar of the (Little) Hierarchy Problem," by Yue Zhao (Stanford University)

Monday, January 12, 2015 - 3:00pm to 4:00pm
TEP Seminars

TEP Seminar

Physics and Astronomy Building (PAB) Room 4-330
Monday, January 12, 2015
3-4 PM

Guest Speaker: Yue Zhao (Stanford University)

Talk Title:"The AdS_3/CFT_2 Avatar of the (Little) Hierarchy Problem"



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 based on the AdS/CFT correspondence. 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. The generalization to AdS5 is possible which may have implication to Randall-Sundrum model.

PAB 4-330