Gauss-Bonnet Supergravity in Six Dimensions

Joseph Novak, Mehmet Ozkan, Yi Pang, Gabriele Tartaglino-Mazzucchelli

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25 Citations (Scopus)

Abstract

The supersymmetrization of curvature squared terms is important in the study of the low-energy limit of compactified superstrings where a distinguished role is played by the Gauss-Bonnet combination, which is ghost-free. In this Letter, we construct its off-shell N=(1,0) supersymmetrization in six dimensions for the first time. By studying this invariant together with the supersymmetric Einstein-Hilbert term, we confirm and extend known results of the α′-corrected string theory compactified to six dimensions. Finally, we analyze the spectrum about the AdS3×S3 solution.

Original languageEnglish
Article number111602
JournalPhysical Review Letters
Volume119
Issue number11
DOIs
Publication statusPublished - 13 Sept 2017

Bibliographical note

Publisher Copyright:
© 2017 American Physical Society.

Funding

The new GB invariant (10) , together with the Riemann [23–26] and scalar curvature squared [44] combinations, allows one to construct all off-shell N = ( 1 , 0 ) curvature squared invariants in six dimensions. These results give the opportunity to extend known supergravity-matter models by including four-derivative invariants. By having full control of the off-shell supersymmetry transformations, one could determine whether Bogomolny-Prasad-Sommerfield solutions of the two-derivative theory are solutions of the four-derivative ones. In this Letter, we studied the AdS 3 × S 3 solution arising from the near horizon limit of the dyonic string. However, we have not checked whether the full dyonic string, interpolating between the AdS 3 × S 3 and Minkowski 6 , is unmodified by the GB invariant. It will be interesting to explore the full solution in the Einstein-Gauss-Bonnet supergravity, from which one can also extract the central charge of the dual 2D superconformal field theories. Compactifications to 4D of the GB invariant are also of interest. For instance, the string-string-string duality observed in the 4D STU model can be extended to include the higher-derivative corrections by reducing the 6D N = ( 1 , 0 ) Einstein-Gauss-Bonnet supergravity on a 2-torus [45] . We are grateful to D. Butter for discussions and collaboration on related projects. We also thank D. Butter, F. F. Gautason, and S. Theisen for feedback and comments on the manuscript. J. N. acknowledges support from GIF, the German–Israeli Foundation for Scientific Research and Development. Y. P. is supported by the Alexander von Humboldt fellowship. The work of G. T.-M. was supported by the Interuniversity Attraction Poles Program initiated by the Belgian Science Policy (P7/37) and in part by COST Action MP1210. The work of M. O. is supported in part by a Marie Curie Cofund Fellowship (No. 116C028). [1] 1 M. B. Green , J. H. Schwarz , and P. C. West , Nucl. Phys. B254 , 327 ( 1985 ). 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FundersFunder number
COST Action MP1210MP1210, 116C028
Interuniversity Attraction Poles Program
Alexander von Humboldt-Stiftung
German-Israeli Foundation for Scientific Research and Development
Belgian Federal Science Policy OfficeP7/37

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