Higher-spin conformal currents in Minkowski space

We give an explicit superspace construction of higher spin conserved supercurrents built out of 4D, N = 1 massless supermultiplets of arbitrary spin. These supercurrents are gauge invariant and generate a large class of cubic interactions between a massless supermultiplet with superspin Y 1 = s 1 + 1/2 and two massless supermultiplets of arbitrary superspin Y 2 . These interactions are possible only for s 1 ≥ 2Y 2 . At the equality, the supercurrent acquires its simplest form and defines the supersymmetric, higher spin extension of the linearized Bel-Robinson tensor.

“…(23) and are the higher spin field strengths for spins j = Y 2 and j = Y 2 + 1/2 respectively. These (22) higher spin currents are consistent with the results of [21,24].…”

Section: Component Structure Of the Higher Spin Supercurrentsupporting

confidence: 90%

“…However we can have non-minimal type of interactions which in most cases will lead to lagrangians with higher derivatives. This has been done in [21,24] using gauge invariant field strengths. An interesting, distinctive aspect of these interactions is their uniqueness up to trivial redefinitions.…”

Section: Introductionmentioning

confidence: 99%

Conserved higher spin supercurrents for arbitrary spin massless supermultiplets and higher spin superfield cubic interactions

Buchbinder

Gates

Koutrolikos

2018

“…For non-supersymmetric theories there is a plethora of well-known results on the topic of higher spin conserved currents [1][2][3][4][5][6][7][8][9][10] and higher spin cubic interactions [11][12][13][14][15][16]. Recently some of these results have been extended to supersymmetric theories.…”

Section: Introductionmentioning

confidence: 99%

Integer superspin supercurrents of matter supermultiplets

Buchbinder

Gates

Koutrolikos

2019

In recent papers [18,21] we demonstrated that consistent and non-trivial linear transformations of matter supermultiplets generate half-integer superspin supercurrents and the cubic interactions between matter and half-integer superspin supermultiplets. In this work we show that consistent and non-trivial antilinear transformations of matter superfields lead to the construction of integer superspin supercurrents and the cubic interactions between mater and integer superspin supermultiplets. Applying Noether's method to these transformations, we find new integer superspin supercurrents for the case of a free massless chiral superfield. Furthermore, we use them to find new integer superspin supercurrent multiplets for a massive chiral superfield and a chiral superfield with a linear superpotential. Also various selection rules for such interactions are found.

“…Discussion of the short currents bilinear in arbitrary spin massless fields may be found in ref. [13,14].…”

Section: Jhep10(2015)110mentioning

confidence: 99%

Light-cone AdS/CFT-adapted approach to AdS fields/currents, shadows, and conformal fields

Metsaev

2015

Light-cone gauge formulation of fields in AdS space and conformal field theory in flat space adapted for the study of AdS/CFT correspondence is developed. Arbitrary spin mixed-symmetry fields in AdS space and arbitrary spin mixed-symmetry currents, shadows, and conformal fields in flat space are considered on an equal footing. For the massless and massive fields in AdS and the conformal fields in flat space, simple light-cone gauge actions leading to decoupled equations of motion are found. For the currents and shadows, simple expressions for all 2-point functions are also found. We demonstrate that representation of conformal algebra generators on space of currents, shadows, and conformal fields can be built in terms of spin operators entering the light-cone gauge formulation of AdS fields. This considerably simplifies the study of AdS/CFT correspondence. Lightcone gauge actions for totally symmetric arbitrary spin long conformal fields in flat space are presented. We apply our approach to the study of totally antisymmetric (one-column) and mixed-symmetry (two-column) fields in AdS space and currents, shadows, and conformal fields in flat space.