Preprint/Report

PUBDB-2016-01898

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Scalar Potential from Higher Derivative $\mathcal{N} = 1$ Superspace

Ciupke, D. (Corresponding author)DESY*

2016

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Please use a persistent id in citations: doi:10.3204/PUBDB-2016-01898

Report No.: DESY-16-021; arXiv:1605.00651

Abstract: The supersymmetric completion of higher-derivative operators often requires introducing corrections to the scalar potential. In this paper we study these corrections systematically in the context of theories with $\mathcal{N}=1$ global and local supersymmetry in $D=4$ focusing on ungauged chiral multiplets. In globally supersymmetric theories the most general off-shell effective scalar potential can be captured by a dependence of the K\'{a}hler potential on additional chiral superfields. For supergravity we find a much richer structure of possible corrections. In this context we classify the leading order and next-to-leading order superspace derivative operators and determine the component forms of a subclass thereof. Moreover, we present an algorithm that simplifies the computation of the respective on-shell action. As particular applications we study the structure of the supersymmetric vacua for these theories and comment on the form of the corrections to shift-symmetric no-scale models. These results are relevant for the computation of effective actions for string compactifications and, in turn, for moduli stabilization and string inflation.

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Contributing Institute(s):

1. Theorie-Gruppe (T)

Research Program(s):

1. 611 - Fundamental Particles and Forces (POF3-611) (POF3-611)
2. STRINGFLATION - Inflation in String Theory - Connecting Quantum Gravity with Observations (647995) (647995)

Experiment(s):

1. No specific instrument

Appears in the scientific report 2016

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