Extended conformal supergravity

Bergshoeff, Eric; Roo, M. de; Wit, Bernard de

doi:10.1016/0550-3213(81)90465-x

Cited by 338 publications

(570 citation statements)

References 36 publications

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“…For k = 2, the operator (3.28) occupies a very special place because it contains the stress-tensor T µν (as well as all other conserved currents) of the N = 4 SYM theory [68]:…”

Section: The N = 4 Stress-tensor Multiplet As An Analytic Superfieldmentioning

confidence: 99%

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

Eden

Heslop

Korchemsky³

et al. 2013

Nuclear Physics B

119

186

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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.

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“…For k = 2, the operator (3.28) occupies a very special place because it contains the stress-tensor T µν (as well as all other conserved currents) of the N = 4 SYM theory [68]:…”

Section: The N = 4 Stress-tensor Multiplet As An Analytic Superfieldmentioning

confidence: 99%

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

Eden

Heslop

Korchemsky³

et al. 2013

Nuclear Physics B

119

186

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“…In the case at hand, this can be avoided by simply re-introducing the missing gauge degrees of freedom. This is done by introducing a new field Φ p q , which is an element of SU(2), 27) and which is assigned the following transformation under the new local SU(2) and the original local U(1), 28) were V denotes the new (local) SU(2) R transformation and Λ A denotes the parameter of the original U(1) R group. Obviously, when fixing Φ to the identity, there is only one gauge transformation that is left unaffected, corresponding to the diagonal U(1) subgroup.…”

Section: Jhep01(2016)156mentioning

confidence: 99%

The off-shell c-map

Banerjee

Wit

Katmadas

2016

J. High Energ. Phys.

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Abstract:The off-shell version of the c-map is presented, based on a systematic offshell reduction from four to three space-time dimensions for supergravity theories with eight supercharges. In the reduction, the R-symmetry group is enhanced to local [SU(2) × SU(2)]/Z 2 ∼ = SO(4) and the c-map is effected by a parity transformation in the internal space that interchanges the two SU(2) factors. Vector and tensor supermultiplets are each others conjugate under the c-map and both can be dualized in three dimensions to (on-shell) hypermultiplets.As shown in this paper the off-shell formulation indeed leads to a clarification of many of the intricate issues that play a role in the c-map. The results for off-shell Lagrangians quadratic in space-time derivatives are analyzed in detail and compared to the literature. The underlying reasons are identified why not all of the four-dimensional tensor multiplet Lagrangians can be in the image of the c-map. The advantage of the off-shell approach is, that it also enables a systematic analysis of theories with higher-derivative couplings. This is demonstrated for a particular subclass of such theories, which, under certain conditions, are consistent under the c-map. In principle, explicit results for realistic four-dimensional type-II string compactifications can be explored in this way.

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“…In the present paper, we wish to study duality of the supergravity formulation given in [1] to (one of) the minimal (40 + 40) off-shell formulations for N = 2 Poincaré supergravity constructed in the 1980s. These formulations are obtained by coupling the minimal field representation with 32 + 32 off-shell degrees of freedom [15] (that is the Weyl multiplet [16,17,18] coupled to an Abelian vector multiplet, the latter being the first superconformal compensator) to various off-shell versions for the second compensator with (8 + 8) degrees of freedom. These include: (i) the "standard" minimal realization with a nonlinear multiplet [19,16]; (ii) the alternative formulation involving an off-shell hypermultiplet with intrinsic central charge [20]; (iii) the new minimal realization with an improved tensor multiplet [21].…”

Section: Introductionmentioning

confidence: 99%

On supergravity and projective superspace: Dual formulations

Kuzenko

2009

Nuclear Physics B

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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.

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Extended conformal supergravity

Cited by 338 publications

References 36 publications

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

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

The off-shell c-map

On supergravity and projective superspace: Dual formulations

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