Eleven dimensional supergravity in light cone gauge

Abstract

Light-cone gauge manifestly supersymmetric formulation of eleven dimensional supergravity is developed. The formulation is given entirely in terms of light cone scalar superfield, allowing us to treat all component fields on an equal footing. All higher derivative on mass shell manifestly supersymmetric 4-point functions invariant with respect to linear supersymmetry transformations and corresponding (in gravitational bosonic sector) to terms constructed from four Riemann tensors and derivatives are found. Superspace representation for 4-point scattering amplitudes is also obtained. Superfield representation of linearized interaction vertex of superparticle and supergravity fields is presented. All 4-point higher derivative interaction vertices of ten-dimensional supersymmetric Yang-Mills theory are also determined.

Cubic interaction vertices for fermionic and bosonic arbitrary spin fields

“…6 Our result for the vertex p [36]. 7 We recall that the short notation like p − [3] (Q (aa+1) ) is used to indicate a dependence of p − [3] on Q (12) , Q (23) , Q (31) .…”

Cubic interaction vertices for continuous-spin fields and arbitrary spin massive fields

“…Recently studied light-cone gauge superspace formulations of some supersymmetric field theories may be found in refs. [20][21][22][23]. Various interesting applications of the light-cone formalism to field theories such as QCD are discussed in refs.…”

“…|φ sa (2.15) are the respective degree-s a homogeneous polynomials in the oscillators α i a , ζ a , a = 1, 2, (2.16), it is easy to see that vertices we are interested in must satisfy the equations 20) which tell us that the vertices should be degree-s 1 and degree-s 2 homogeneous polynomials in the respective oscillators α i 1 , ζ 1 and α i 2 , ζ 2 . Using (4.2), we verify that, in terms of V (4.5)-(4.7), eqs.…”

“…To simplify the presentation we use oscillators α i (2.9) and introduce the following ketvector: 20) where the argument α in (2.20) stands for the oscillators α i , while the argument p stands for the momenta p i , β. Ket-vector (2.20) satisfies the algebraic constraints…”

Cubic interactions for arbitrary spin $$ \mathcal{N} $$ -extended massless supermultiplets in 4d flat space

“…[5]. The momentum superspace turns also out to be very convenient for studying supergravity in 11d flat space [19] and IIB supergravity in AdS 5 × S 5 space [4]. In this paper, using Grassmann momentum entering the light-cone momentum superspace, we collect fields of N -extended massless supermultiplets into a suitable unconstrained light-cone gauge superfields and use such superfields to construct a full list of cubic interaction vertices.…”