D=4supergravity dynamically coupled to superstring in a superfield Lagrangian approach

Abstract

We elaborate a full superfield description of the interacting system of dynamical Dϭ4, Nϭ1 supergravity and a dynamical superstring. As far as a minimal formulation of simple supergravity is used, such a system should contain as well the tensor ͑real linear͒ multiplet which describes the dilaton and the two-superform gauge field whose pullback provides the Wess-Zumino term for the superstring. The superfield action is given by the sum of the Wess-Zumino action for Dϭ4, Nϭ1 superfield supergravity, the superfield action for the tensor multiplet in curved superspace, and the Green-Schwarz superstring action. The latter includes the coupling to the tensor multiplet both in the Nambu-Goto and in the Wess-Zumino terms. We derive superfield equations of motion including, besides the superfield supergravity equations with the source, the source-full superfield equations for the linear multiplet. The superstring equations keep the same form as for the superstring in supergravity and 2-superform background. The analysis of gauge symmetries shows that the superfield description of the interacting system is gauge equivalent to the dynamical system described by the sum of the spacetime, component action for supergravity interacting with the tensor multiplet, and of the purely bosonic string action.

Brane induced supersymmetry breaking and de Sitter supergravity

“…It is obtained by integrating the first two terms of (1.1) over the Grassmann-odd coordinates and fixing the static-gauge x m (ξ) = δ m i ξ i on the 3-brane, as described in the Introduction. We thus get the following action 4 (see Appendices A and B for our 3 The interaction of minimal Einstein supergravity with N = 1, D = 4 BPS branes (massless superparticle, superstring and supermembrane) was studied in [49,50,51]. 4 To bring the normalization of the fermionic kinetic and mass terms in this action to a canonical form one should re-scale the gravitino and the goldstino fields as follows ψ → 1 2 ψ, θ → 1 f θ andθ → 1 fθ .…”

Superstring at the boundary of open supermembrane interacting with D=4 supergravity and matter supermultiplets

“…The remaining parts of the interacting action (1) are given in Eq. (45). (This latter clearly indicates that the mass dimension of Z and P in (46) is 0 and -1, respectively).…”

Supermembranes and domain walls in $$ \mathcal{N} $$ = 1, D = 4 SYM

“…The action (7.1) with U = 0 can be obtained as a flat superspace limit of the superstring action coupled to N = 1 4D supergravity and a tensor multiplet considered in[58]. A similar action for a superstring coupled to an N = 1, D = 2 + 1 supergravity via a real scalar compensator superfield L was considered in[59].…”