The many vacua of gauged extended supergravities |
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Authors: | Thomas Fischbacher |
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Institution: | (1) University of Southampton School of Engineering Sciences, Highfield Campus, University Road, Southampton, SO17 1BJ, UK |
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Abstract: | A novel method is presented which employs advanced numerical techniques used in the engineering sciences to find and study
the properties of nontrivial vacua of gauged extended supergravity models. While this method only produces approximate numerical
data rather than analytic results, it overcomes the previous limitation of only being able to find vacua with large residual
unbroken gauge symmetry groups. The effectiveness of this method is demonstrated by applying it to the technically most challenging
D ≥ 3 scalar potential—that of SO(8) × SO(8) gauged Chern–Simons Supergravity in D = 3. Extensive data on the properties of 99 different vacua (92 of them new) of this model are given. Furthermore, techniques
are briefly discussed which should allow using this numerical information as an input to the construction of semi-automatic
stringent analytic proofs on the locations and properties of vacua. It hence is argued that these combined techniques presumably
are powerful enough to systematically map all the nontrivial vacua of every supergravity model. |
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Keywords: | Chern– Simons supergravity Numerical methods Automatic differentiation Maximal supergravity Gauged supergravity Vacuum solutions |
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