De Sitter Vacua and Inflation in No-Scale Supergravity
Abstract
We construct Lagrangians and show new Minkowski and de Sitter solutions with the presence of multiple chiral fields in a framework of 4d N = 1 no-scale supergravity in a unified way. The framework is chosen as it naturally arises in the low energy limit of string theories. The de Sitter solutions are particularly relevant given that our universe is expanding at an accelerated rate. The mechanics of these constructions are to first solve for Minkowski solutions and then "combine" antipodal Minkowski solutions to obtain a de Sitter solution. Quartic stabilization terms are added to Kähler potential in order to stabilize the de Sitter solutions, and then we proceed to generalize our solutions in the presence of various matter fields. With matter fields, it becomes possible to "perturb" the de Sitter solutions to find inflationary potentials. Hence our constructions give a way of obtaining Minkowski, de Sitter, and inflationary potentials in a unified way.
Citation
Nagaraj, Balakrishnan (2022). De Sitter Vacua and Inflation in No-Scale Supergravity. Doctoral dissertation, Texas A&M University. Available electronically from https : / /hdl .handle .net /1969 .1 /197963.