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

Abstract

We present the complete supersymmetric and κ-symmetric action for the 4-dimensional interacting system of open supermembrane, dynamical supergravity and 3-form matter multiplets. The cases of a single 3-form matter multiplet and a quite generic model with a number of nonlinear interacting double 3-form multiplets are considered. In all cases the fermionic parameter of the κ-symmetry is subject to two apparently different projection conditions which suggests that the ground state of the system, in particular a domain junction, might preserve at most 1/4 of the spacetime supersymmetry.The boundary term of the open supermembrane action, needed to preserve the κsymmetry, has the meaning of the action of a superstring. The Wess-Zumino term of this superstring action is expressed in terms of real linear superfield playing the role of Stückelberg field for the 3-form gauge symmetry. This indicates that this symmetry is broken spontaneously by the superstring at the boundary of supermembrane.

How many fluxes fit in an EFT?

“…7 One can consider more general networks of 3-branes, membranes and strings. 8 By adapting the results of [39,40], in section 8 we will show that the combined effective actions for these brane networks can be made manifestly supersymmetric and kappasymmetry invariant. Furthermore, the above branes can support some world-volume fields, in addition to the embedding ones (and their supersymmetric partners).…”

“…The logic will be completely analogous to the membrane case, hence we will proceed more quickly. The following results can be easily justified by appropriately adapting and extending the results of [39,40,80].…”

Three-forms and Fayet-Iliopoulos terms in supergravity: scanning Planck mass and BPS domain walls

“…It would be interesting to investigate also backgrounds with strings as those studied for example in [36,45,63], but we leave this for future work.…”

“…More recently they have been studied, for example, in inflation [4][5][6][7][8][9][10] and in relation to naturalness problems [11][12][13][14][15][16][17]. Three-forms have been also embedded into supersymmetric models, both in global supersymmetry [18][19][20][21][22][23][24][25][26][27] and in supergravity [28][29][30][31][32][33][34][35][36][37]. In this context, JHEP05(2020)060…”

De Sitter decay through goldstino evaporation

“…On a conceptual level, the evaporation of the full goldstino superfield happens essentially in the same way as we have described in the global supersymmetry section so we do not need to go through it again. The only difference is a few technical difficulties that appear due to the more involved structure of the membrane and 3-form couplings in supergravity (some recent developments on the topic can be found for example in [62,[64][65][66]). We will still verify that the transition happens in a discrete jump and then we will study the life-time of the de Sitter phase.…”