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We study the invariance of N = 1, d = 4 supergravity solutions under diffeormophisms and show that, in order to obtain consistent conditions ("Killing equations") invariant under local supersymmetry transformations, one has to perform supersymmetry transformations generated by the superpartner of the vector that generates standard diffeomorphisms, just as a superspace analysis indicates. Using these transformations, we construct a Noether-Wald charge of N = 1, d = 4 supergravity with fermionic contributions which is diff- Lorentz- and supersymmetry-invariant (up to a total derivative). [ABSTRACT FROM AUTHOR]

This paper explores the process of vacuum decay in supersymmetric models related to flux compactifications. In particular, we describe these instabilities within supersymmetric Lagrangians for a single three-form multiplet. This multiplet combines scalar fields, representing the moduli fields in four dimensions, with 3-form fields that influence the potential for these moduli via the integer flux of their associated 4-form field strength. Furthermore, using supersymmetry as a guide we obtain the form of the couplings of these fields to the membranes that act as sources to the 3-form potentials. Adding small supersymmetry breaking terms to these Lagrangians one can obtain instanton solutions describing the decay of the vacua in these models by the formation of a membrane bubble. These instantons combine the usual Coleman-de Luccia and the Brown-Teitelboim formalisms in a single unified model. We study simple numerical examples of theories with and without gravity in this new framework and generalize known Euclidean methods to accomodate the simulataneous inclusion of scalar fields and charged membranes to these instanton solutions. Moreover, we show explicitly in these examples how one recovers the static supersymmetric solutions in the limiting case where the supersymmetry breaking terms vanish. In this limit, the bubble becomes infinite and flat and represents a hybrid between the usual supersymmetric domain walls of field theory models and the brane solutions interpolating between the supersymmetric vacua; a sort of dressed supermembrane BPS solution. Finally, we briefly comment on the implications of these solutions in cosmological models based on the String Theory Landscape where these type of 4d effective theories could be relevant in inflationary scenarios. [ABSTRACT FROM AUTHOR]

The Hamiltonian formulation for nonlinear chiral 2-form electrodynamics in six-dimensional Minkowski spacetime is used to show that small-amplitude plane-wave perturbations of a generic uniform constant 'magnetic' background exhibit trirefringence: all three independent wave-polarisations have distinct dispersion relations. While two coincide for Lorentz invariant theories, all three coincide uniquely for the chiral 2-form theory on the worldvolume of the M5-brane of M-theory. We argue that this is because, in this M-theory context, the waves propagate in a planar M5-M2-M2 bound-state preserving 16 supersymmetries. We also show how our results imply analogous results for nonlinear electrodynamics in a Minkowski spacetime of five and four dimensions. [ABSTRACT FROM AUTHOR]

Found is the complete nonlinear action of multiple D0-brane system (mD0) in three dimensional type II superspace which is invariant under rigid D = 3 N = 2 spacetime supersymmetry and under local worldline supersymmetry generalizing the κ-symmetry of single D0-brane action. We show that a particular representative of this family of actions can be obtained by dimensional reduction of the action of D = 4 non-Abelian multiwaves (nAmW), the D = 4 counterpart of 11D multiple M-wave (mM0) action, that we have also constructed in this paper. This reduction results in an action with is nonlinear due to the presence of a certain function ℳ(ℋ) of the relative motion Hamiltonian ℋ, the counterpart of which enters the 4D nAmW action linearly. Curiously, the action possesses double supersymmetry also for an arbitrary function ℳ(ℋ). In particular for ℳ = const we find a dynamical system describing the sum of single D0 action and the action of 1d dimensional reduction of the D = 3 N = 2 SYM coupled to the worldline supergravity induced by the embedding of the center of energy motion into the D = 3 N = 2 superspace. [ABSTRACT FROM AUTHOR]

We give a prescription for N = 1 supersymmetrization of any (four-dimensional) nonlinear electrodynamics theory with a Lagrangian density satisfying a convexity condition that we relate to semi-classical unitarity. We apply it to the one-parameter ModMax extension of Maxwell electrodynamics that preserves both electromagnetic duality and conformal invariance, and its Born-Infeld-like generalization, proving that duality invariance is preserved. We also establish superconformal invariance of the superModMax theory by showing that its coupling to supergravity is super-Weyl invariant. The higher-derivative photino-field interactions that appear in any supersymmetric nonlinear electrodynamics theory are removed by an invertible nonlinear superfield redefinition. [ABSTRACT FROM AUTHOR]

Relations between the various formulations of nonlinear p-form electrodynamics with conformal-invariant weak-field and strong-field limits are clarified, with a focus on duality invariant (2n − 1)-form electrodynamics and chiral 2n-form electrodynamics in Minkowski spacetime of dimension D = 4n and D = 4n + 2, respectively. We exhibit a new family of chiral 2-form electrodynamics in D = 6 for which these limits exhaust the possibilities for conformal invariance; the weak-field limit is related by dimensional reduction to the recently discovered ModMax generalisation of Maxwell's equations. For n > 1 we show that the chiral 'strong-field' 2n-form electrodynamics is related by dimensional reduction to a new Sl(2; ℝ)-duality invariant theory of (2n − 1)-form electrodynamics. [ABSTRACT FROM AUTHOR]

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 κ-symmetry, 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. [ABSTRACT FROM AUTHOR]

We construct a manifestly supersymmetric and kappa-symmetry invariant worldvolume action describing the coupling of a dynamical membrane to an N = 1, D = 4 SU(N) super-Yang-Mills multiplet. Worldvolume scalar fields in this action are a Gold-stone and a Goldstino associated with spontaneous breaking, by the membrane, of half of N = 1, D = 4 supersymmetry. When the Goldstone fields are set to zero, the model reduces to an N = 1, d = 3 SU(N) Chern-Simons theory induced by the SYM coupling. We show that, when the membrane couples to the Veneziano-Yankielowicz (VY) effective theory of the N = 1 SYM, it sources VY bulk field equations, separates two distinct SYM vacua and provides the missing contribution to the tension of BPS saturated domain-wall configurations, for which the membrane serves as a core. As a result, we obtain explicit BPS domain-wall solutions in the Veneziano-Yankielowicz theory. We also briefly discuss a supersymmetric system of an open membrane having a string attached to its boundary and coupled to a massive extension of the Veneziano-Yankielowicz model. [ABSTRACT FROM AUTHOR]

We consider four-dimensional N = 1 supergravity models of a kind appearing in string flux compactifications. It has been recently shown that, by using double three-form multiplets instead of ordinary chiral multiplets, one can promote to dynamical variables (part of) the quantized numbers appearing in the flux-induced superpotential. We show that double three-form multiplets naturally transform under symplectic dualities associated with the special Kähler structure that characterizes their scalar sector. Furthermore, we discuss how to couple membranes which carry arbitrary 'electric-magnetic' charges. The complete action is supersymmetric, kappa-symmetric and duality covariant. As an application, we derive the flow equations for BPS domain walls sourced by membranes and give simple analytic examples of their solution. [ABSTRACT FROM AUTHOR]

We present a set of constraints on superfield strengths of the non-Abelian p-form potentials in D=6 (1,0) superspace which reproduces, as their selfconsistency conditions, the equations of motion of the recently proposed (1,0) superconformal theory. These include the anti-self-duality conditions for the field strength of the non-Abelian 2-form potential, duality between field strengths of the non-Abelian vectors and 3-forms as well as of the non-Abelian four forms and scalar fields. [ABSTRACT FROM AUTHOR]

We present a covariant, supersymmetric and κ-symmetric action for nonAbelian multiwave system ( nAmW) in D = 3 AdS superspace. Its flat superspace limit provides a simplest counterpart of the recently proposed action for 11 dimensional system of N nearly coincident M-waves (multiple M0-branes), which is presently known for the case of flat target superspace only. [ABSTRACT FROM AUTHOR]

We obtain the complete set of equations of motion for the interacting system of supermembrane and dynamical D = 4 $ \mathcal{N} $ = 1 supergravity by varying its complete superfield action and writing the resulting superfield equations in the special $ ``{\text{W}}{{\text{Z}}_{{\widehat{\theta } = 0}}}'' $ gauge where the supermembrane Goldstone field is set to zero $ \left( {\widehat{\theta } = 0} \right) $ . We solve the equations for auxiliary fields and discuss the effect of dynamical generation of cosmological constant in the Einstein equation of interacting system and its renormalization due to some regular contributions from supermembrane. These two effects (discussed in late 70th and 80th, in the bosonic perspective and in the supergravity literature) result in that, generically, the cosmological constant has different values in the branches of the spacetime separated by the supermembrane worldvolume. [ABSTRACT FROM AUTHOR]

In subsection 6.3 of the paper it has not been taken into account that the domain wall solutions for |k| = N found therein do not satisfy the non-negativity of the contribution to the domain wall tension of the energy density of the scalar field s(x). [ABSTRACT FROM AUTHOR]

Tree amplitudes of 10D supersymmetric Yang-Mills theory (SYM) and 11D supergravity (SUGRA) are collected in multi-particle counterparts of analytic on-shell superfields. These have essentially the same form as their chiral 4D counterparts describing N=4 SYM and N=8 SUGRA, but with components dependent on a different set of bosonic variables. These are the D=10 and D=11 spinor helicity variables, the set of which includes the spinor frame variable (Lorentz harmonics) and a scalar density, and generalized homogeneous coordinates of the coset SOD−2SOD−4⊗U1 (internal harmonics).We present an especially convenient parametrization of the spinor harmonics (Lorentz covariant gauge fixed with the use of an auxiliary gauge symmetry) and use this to find (a gauge fixed version of) the 3-point tree superamplitudes of 10D SYM and 11D SUGRA which generalize the 4 dimensional anti-MHV superamplitudes. [ABSTRACT FROM AUTHOR]

In search for a dynamical description of Q7-branes, which were known as solutions of supergravity equations and then conjectured to be dynamical objects of type IIB string theory, we study the superembedding description of 7-branes in curved type IIB supergravity superspace. With quite minimal and natural assumptions we have found that there is no place for Q7-branes as dynamical branes in superembedding approach. As Q7-brane was also considered as a bound state of two SD7-branes (this is to say of two 7-branes related to the D7-brane by different SL(2) transformation), our study might give implications for the old-standing problem of the covariant and supersymmetric description of multiple Dirichlet p-brane systems. [ABSTRACT FROM AUTHOR]

We develop a general formalism for the construction, in D-dimensional Minkowski space, of gauge theories for which the gauge group is the infinite-dimensional group SDiffn of volume-preserving diffeomorphisms of some closed n-dimensional manifold. We then focus on the D = 3 SDiff3 superconformal gauge theory describing a condensate of M2-branes; in particular, we derive its 풩 = 8 superfield equations from a pure-spinor superspace action, and we describe its relationship to the D = 3 SDiff2 super-Yang-Mills theory describing a condensate of D2-branes. [ABSTRACT FROM AUTHOR]

The structure and the dynamics of massless higher spin fields in various dimensions are reviewed with an emphasis on conformally invariant higher spin fields. We show that in D = 3,4,6 and 10 dimensional space-time the conformal higher spin fields constitute the quantum spectrum of a twistor-like particle propagating in tensorial spaces of corresponding dimensions. We give a detailed analysis of the field equations of the model and establish their relation with known formulations of free higher spin field theory. [ABSTRACT FROM AUTHOR]