Unconstrained N=2 matter, Yang-Mills and supergravity theories in harmonic superspace

116

186

We extend the recently discovered duality between MHV amplitudes and the light-cone limit of correlation functions of a particular type of local scalar operators to generic non-MHV amplitudes in planar N = 4 SYM theory. We consider the natural generalization of the bosonic correlators to super-correlators of stress-tensor multiplets and show, in a number of examples, that their light-cone limit exactly reproduces the square of the matching super-amplitudes. Our correlators are computed at Born level. If all of their points form a light-like polygon, the correlator is dual to the tree-level amplitude. If a subset of points are not on the polygon but are integrated over, they become Lagrangian insertions generating the loop corrections to the correlator. In this case the duality with amplitudes holds at the level of the integrand. We build up the superspace formalism needed to formulate the duality and present the explicit example of the n−point NMHV tree amplitude as the dual of the lowest nilpotent level in the correlator.

Section: Chirality Vs Grassmann Analyticitymentioning

confidence: 99%

Section: Chirality Vs Grassmann Analyticitymentioning

confidence: 99%

See 1 more Smart Citation

The super-correlator/super-amplitude duality: Part I

Eden

Heslop

Korchemsky³

et al. 2013

116

186

“…Ten years ago, it was advocated in [14] that the harmonic [10,11] and projective [7,8] superspace approaches provide complementary descriptions of rigid N = 2 supersymmetric theories. This also appears to hold at the level of N = 2 supergravity.…”

Section: Supergravity-matter Systems With Polar Compensatormentioning

confidence: 99%

On supergravity and projective superspace: Dual formulations

Kuzenko

2009

The superspace formulation for four-dimensional N = 2 matter-coupled supergravity recently developed in [1] makes use of a new type of conformal compensator with infinitely many off-shell degrees of freedom: the so-called covariant weight-one polar hypermultiplet. In the present note we prove the duality of this formulation to the known minimal (40 + 40) off-shell realization for N = 2 Poincaré supergravity involving the improved tensor compensator. Within the latter formulation, we present new off-shell matter couplings realized in terms of covariant weight-zero polar hypermultiplets. We also elaborate upon the projective superspace description of vector multiplets in N = 2 conformal supergravity. An alternative superspace representation for locally supersymmetric chiral actions is given. We present a model for massive improved tensor multiplet with both "electric" and "magnetic" types of mass terms.

“…The superconformal algebra in five dimensions includes 5D simple (or N = 1) supersymmetry algebra 1 as its super Poincaré subalgebra. As is well-known, for supersymmetric theories in various dimensions with eight supercharges (including the three important cases: (i) 4D N = 2, (ii) 5D N = 1 and (iii) 6D N = (1, 0)) a powerful formalism to generate off-shell formulations is the harmonic superspace approach that was originally developed for the 4D N = 2 supersymmertic Yang-Mills theories and supergravity [5,6]. There also exists a somewhat different, but related, formalismthe so-called projective superspace approach [7,8,9,10], first introduced soon after the harmonic superspace had appeared.…”

Section: Introductionmentioning

confidence: 99%

On compactified harmonic/projective superspace, 5D superconformal theories, and all that

Kuzenko

2006

160

Within the supertwistor approach, we analyse the superconformal structure of 4D N = 2 compactified harmonic/projective superspace. In the case of 5D superconformal symmetry, we derive the superconformal Killing vectors and related building blocks which emerge in the transformation laws of primary superfields. Various off-shell superconformal multiplets are presented both in 5D harmonic and projective superspaces, including the so-called tropical (vector) multiplet and polar (hyper)multiplet. Families of superconformal actions are described both in the 5D harmonic and projective superspace settings. We also present examples of 5D superconformal theories with gauged central charge.