# SUSY 2015, 23rd International Conference on Supersymmetry and Unification of Fundamental Interactions

23-29 August 2015
Lake Tahoe
US/Pacific timezone

## Light Fields and Flat Directions from Nonlinear Sigma Models in Supergravity

25 Aug 2015, 15:10
20m
Alumni ()

### Alumni

SUSY/String Models

### Speaker

John Kehayias (Vanderbilt University)

### Description

We present a common solution to the puzzles of the light Higgs or quark masses and the need for a shift symmetry and large field values in high scale inflation. One way to protect, for example, the Higgs from a large supersymmetric mass term is if it is the Nambu-Goldstone boson (NGB) of a nonlinear sigma model (NLSM). However, it is well known that NLSMs with nontrivial Kähler transformations are problematic to couple to supergravity. An additional field is necessary to make the Kähler potential of the NLSM invariant in supergravity. This field must have a shift symmetry --- making it a candidate for the inflaton (or axion). We give an explicit example of such a model for the coset space $SU(3)/SU(2)×U(1)$, with the Higgs as the NGB. Along the way we clarify and connect previous work on understanding NLSMs in supergravity and the origin of the extra field (which is the inflaton here), including a connection to Witten-Bagger quantization. This framework has wide applications to model building; a light particle from a NLSM requires, in supergravity, exactly the structure for chaotic inflaton or an axion.

### Primary authors

John Kehayias (Vanderbilt University) Simeon Hellerman (IPMU) Tsutomu Yanagida (IPMU)