Abstract
We determine the supersymmetric AdS_7 backgrounds of seven-dimensional half-maximal gauged supergravities and show that they do not admit any deformations that preserve all 16 supercharges. We compare this result to the conformal manifold of the holographically dual (1,0) superconformal field theories and show that accordingly its representation theory implies that no supersymmetric marginal operators exist.
Highlights
We determine the supersymmetric AdS7 backgrounds of seven-dimensional half-maximal gauged supergravities and show that they do not admit any deformations that preserve all 16 supercharges. We compare this result to the conformal manifold of the holographically dual (1, 0) superconformal field theories and show that its representation theory implies that no supersymmetric marginal operators exist
In our analysis we find that supersymmetric AdS7 backgrounds require the gauge group G to be of the general form
In 2.2 we show that supersymmetric AdS7 backgrounds imply the gauge group given in (1.1)
Summary
Where gμν is the metric, ψA, A = 1, 2 is an SU(2)R-doublet of gravitini, Aiμ, i = 1, 2, 3, is an R-triplet of vectors, χA is an SU(2)R-doublet of spin-1/2 fermions, Bμν is an antisymmetric tensor and σ a real scalar. Vector fields, (2n + 2) spin-1/2 fermions and (3n + 1) real scalars. Where h is a real constant and H4 = dG3 is the four-form field strength With these ingredients the total bosonic Lagrangian of gauged N = 2 supergravity reads [11, 12]. Fijk = fIJ K LIi LJj LKk , fjkr = fIJ K LIj LJk LKr. to find the background solutions that preserve supersymmetry we need the supersymmetry variations of all fermionic fields.
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
