1. One‐Loop Effective Potential in Scherk–Schwarz Compactifications of Pure d=5$d=5$ Supergravities.
- Author
-
Dall'Agata, Gianguido and Zwirner, Fabio
- Subjects
- *
PSEUDOPOTENTIAL method , *SUPERSYMMETRY , *SUPERGRAVITY - Abstract
We perform a systematic analysis of the one‐loop effective potential of pure d=5$d=5$ supergravities, with supersymmetry fully broken by a Scherk–Schwarz compactification on the circle, as a function of the radial modulus. We discuss the precise correspondence between the effective potential V1$V_1$ in the full compactified theory and its counterpart V1,red$V_{1,red}$ in the reduced theory. We confirm that V1$V_1$ is finite for any N>0$N>0$, in contrast to V1,red$V_{1,red}$. We find that for broken N=8$N=8$ supergravity V1$V_1$ is negative definite even after accounting for the Kaluza–Klein states. We outline a program for future work where the study of a different kind of Scherk‐Schwarz compactifications, still at the field theory level but with at least three extra dimensions, could lead to qualitatively new results. We perform a systematic analysis of the one‐loop effective potential of pure d=5$d=5$ supergravities, with supersymmetry fully broken by a Scherk–Schwarz compactification on the circle, as a function of the radial modulus. We discuss the precise correspondence between the effective potential V1$V_1$ in the full compactified theory and its counterpart V1,red$V_{1,red}$ in the reduced theory. We confirm that V1$V_1$ is finite for any N>0$N>0$, in contrast to V1,red$V_{1,red}$. We find that for broken N = 8 supergravity V1$V_1$ is negative definite even after accounting for the Kaluza–Klein states. We outline a program for future work where the study of a different kind of Scherk‐Schwarz compactifications, still at the field theory level but with at least three extra dimensions, could lead to qualitatively new results. [ABSTRACT FROM AUTHOR]
- Published
- 2024
- Full Text
- View/download PDF