Abstract
Motivated by an analysis of the sub-superalgebras of the five-dimensional superconformal algebra F (4), we search for the holographic duals to co-dimension one superconformal defects in 5d CFTs which have SO(4, 2) ⊕ U(1) bosonic symmetry. In particular, we look for domain wall solutions to six-dimensional F (4) gauged supergravity coupled to a single vector multiplet. It is found that supersymmetric domain wall solutions do not exist unless there is a non-trivial profile for one of the vector multiplet scalars which is charged under the gauged SU(2) R-symmetry. This non-trivial profile breaks the SU(2) to U(1), thus matching expectations from the superalgebra analysis. A consistent set of BPS equations is then obtained and solved numerically. While the numerical solutions are generically singular and thought to be dual to boundary CFTs, it is found that for certain fine-tuned choices of parameters regular Janus solutions may be obtained.
Highlights
The study of five-dimensional supersymmetric field theories utilizing string theory was initiated in [1,2,3]
Motivated by an analysis of the sub-superalgebras of the five-dimensional superconformal algebra F (4), we search for the holographic duals to co-dimension one superconformal defects in 5d CFTs which have SO(4, 2) ⊕ U(1) bosonic symmetry
It is found that supersymmetric domain wall solutions do not exist unless there is a non-trivial profile for one of the vector multiplet scalars which is charged under the gauged SU(2) R-symmetry
Summary
The study of five-dimensional supersymmetric field theories utilizing string theory was initiated in [1,2,3]. Using the Janus ansatz, solutions corresponding to various half-BPS defects have been constructed in M-theory [41, 42] as well as in type IIB supergravity [43, 44]. These solutions are all quite complicated due to the warped product form, the fact that fluxes of the antisymmetric tensor fields are turned on, and the fact that all quantities depend on the two-dimensional base manifold. A simpler class of supersymmetric Janus solutions corresponding to defects of codimension one can be obtained in (d + 1)-dimensional gauged supergravity theories by considering a metric ansatz of an AdSd factor warped over a one-dimensional interval. One finds the coset space vielbein forms to be given by,
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