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

Self Cite

108

We extend the recent construction of 4d N = 1 three-form Lagrangians by including the most general three-form multiplets necessary to reproduce any F-term potential in string flux compactifications. In this context we find an obstruction to dualize all fluxes to three-forms in the effective field theory. This implies that, generically, a single EFT cannot capture all the membrane-mediated flux transitions expected from a string theory construction, but only a sublattice of them. The obstruction can be detected from the maximal number of three-forms per scalar in any supermultiplet, and from the gaugings involving three-forms that appear in the EFT. Some gaugings are related to the appearance of fluxes in the tadpole conditions, and give a general obstruction. Others are related to the anomalous axionic strings present in a specific compactification regime. We illustrate the structure of the three-form Lagrangian in type II and F/M-theory setups, where we argue that the above obstructions correlate with the different 4d membrane tensions with respect to the EFT energy scales.

Section: Effective Strings Membranes and 3-branesmentioning

confidence: 88%

“…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].…”

Section: Effective Superstringsmentioning

confidence: 95%

How many fluxes fit in an EFT?

Lanza

Marchesano

Martucci

et al. 2019

Self Cite

108

“…In the latter case the accounting for the presence of supermembrane allowed to solve a long-standing problem [24] of the missing contribution to the tension of BPS saturated domain-wall configurations, for which the membrane serves as a core. This also allowed us to find in [15] the explicit BPS domain wall solutions in this theory.…”

mentioning

confidence: 97%

“…The simpler 4D cousin of M2-brane also attracted an interest already in late 80-th [6]. Different aspects of its interaction with N = 1 D = 4 supergravity and matter multiplets were the subject of study in [7][8][9][10][11][12][13][14][15]. The selfconsistency of nontrivial interaction with supermembrane requires matter and supergravity supermultiplets to include three form fields, thus leading naturally to the so-called variant superfield representations [7,[9][10][11][12][13][16][17][18][19][20][21][22].…”

mentioning

confidence: 99%

“…In particular the interaction of closed supermembrane with supergravity and matter in the models of the type appearing in string theory compactifications was studied in [14] while [15] considered supermembrane interaction with supersymmetric SU(N) Yang-Mills (SU(N) SYM) theory and its effective description by Veneziano-Yankelovich (VY) action [23]. In the latter case the accounting for the presence of supermembrane allowed to solve a long-standing problem [24] of the missing contribution to the tension of BPS saturated domain-wall configurations, for which the membrane serves as a core.…”

mentioning

confidence: 99%

See 1 more Smart Citation

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

Bandos

2019

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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.

Effective actions for dual massive (super) p-forms

Kuzenko

Turner

2021

In d dimensions, the model for a massless p-form in curved space is known to be a reducible gauge theory for p > 1, and therefore its covariant quantisation cannot be carried out using the standard Faddeev-Popov scheme. However, adding a mass term and also introducing a Stueckelberg reformulation of the resulting p-form model, one ends up with an irreducible gauge theory which can be quantised à la Faddeev and Popov. We derive a compact expression for the massive p-form effective action, $$ {\Gamma}_p^{(m)} $$ Γ p m , in terms of the functional determinants of Hodge-de Rham operators. We then show that the effective actions $$ {\Gamma}_p^{(m)} $$ Γ p m and $$ {\Gamma}_{d-p-1}^{(m)} $$ Γ d − p − 1 m differ by a topological invariant. This is a generalisation of the known result in the massless case that the effective actions Γp and Γd−p−2 coincide modulo a topological term. Finally, our analysis is extended to the case of massive super p-forms coupled to background $$ \mathcal{N} $$ N = 1 supergravity in four dimensions. Specifically, we study the quantum dynamics of the following massive super p-forms: (i) vector multiplet; (ii) tensor multiplet; and (iii) three-form multiplet. It is demonstrated that the effective actions of the massive vector and tensor multiplets coincide. The effective action of the massive three-form is shown to be a sum of those corresponding to two massive scalar multiplets, modulo a topological term.