Non-conformal supercurrents in six dimensions

Kuzenko, Sergei M.; Novak, Joseph D.; Theisen, Stefan

doi:10.1007/jhep02(2018)030

Cited by 6 publications

(8 citation statements)

References 77 publications

(221 reference statements)

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“…The non-conformal higher spin supercurrent multiplets (3.2) and (3.3) are automatically consistent, since they are associated with the gauge-invariant models (2.8) and (2.7), respectively. An interesting open question is to classify all non-conformal deformations of the higher spin supercurrents (1.7), along the lines of the recent analysis of non-conformal N = (1, 0) supercurrents in six dimensions [24]. Our results provide the setup required for developing a program to derive higher spin supersymmetric models from quantum correlation functions, as an extension of the non-supersymmetric approaches pursued, e.g., in [25,26,27].…”

Section: Concluding Commentsmentioning

confidence: 79%

Non-conformal higher spin supercurrents

Hutomo

Kuzenko

2018

Physics Letters B

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In four spacetime dimensions there exist two off-shell formulations for the massless multiplet of superspin (s + 1 2 ), where s = 2, 3, . . . . These supersymmetric higher spin gauge theories, known as longitudinal and transverse, are dual to each other and describe two massless fields of spin (s + 1 2 ) and (s + 1) upon elimination of the auxiliary fields. They respectively reduce, in the limiting case of s = 1, to the linearised actions for the old minimal and the n = −1 non-minimal N = 1 supergravity theories. Associated with these gauge massless theories are non-conformal higher spin supercurrent multiplets which we describe. We demonstrate that the longitudinal higher spin supercurrents are realised in the model for a massive chiral scalar superfield only if s is odd, s = 2n + 1, with n = 1, 2, . . . .

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Section: Concluding Commentsmentioning

confidence: 79%

Non-conformal higher spin supercurrents

Hutomo

Kuzenko

2018

Physics Letters B

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“…This would allow for an off-shell formulation of hypermultiplet in four dimensional conformal supergravity. In [16], an extension of the analysis from [1] was generalised to six dimensional N = (1, 0) curved superspace to construct the off-shell representation for the hypermultiplet in six dimensional supergravity. This extension is different from that of this paper in the following sense.…”

Section: Discussionmentioning

confidence: 99%

“…This extension is different from that of this paper in the following sense. In [16], an additional real superfield T appeared in the superspace constraints along with the L ij and L ijkl superfields to define the relaxed hypermultiplet. The construction of [16] in six dimensions may have a straightforward generalization in four dimensions and one can have an alternate formulation of relaxed hypermultiplet with more number of components.…”

Section: Discussionmentioning

confidence: 99%

“…For the superconformal algebra to close consistently equations (16) and (17) should match. But we clearly see that there is mismatch between the equations due to the presence of L ijkl terms in equation (16). Setting the coefficient y = 0 might seem to resolve this mismatch; however, it leads to similar inconsistency in the [δ S , δ Q ]L ijkl equation.…”

Section: Extension Of the N = 2 Relaxed Hypermultiplet To Conformentioning

confidence: 99%

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Relaxed hypermultiplet in four dimensional N=2 conformal supergravity

2020

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Superconformal matter multiplets play a crucial role in the construction of Poincaré supergravity invariants. Off-shell multiplets allow for construction of general matter couplings in supergravity. In [1], relaxed hypermultiplet was constructed in rigid supersymmetry which on coupling with the real scalar multiplet allowed for an off-shell formulation of the rigid hypermultiplet. In this paper, we extend the relaxed hypermultiplet to conformal supergravity. For consistency with the superconformal algebra, we find that the fields have to be allowed to transform in a non-canonical way under SU (2) R-symmetry. We find suitable field redefinitions to obtain fields which are irreducible representations of SU (2) R-symmetry and present the full non-linear transformation rule.

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“…Furthermore, we can choose the compensator as Φ −4(n−2) = T i 1 ···i n−4 T i 1 ···i n−4 leading to a four-derivative invariant for the O * (n) multiplet once one plugs the composite into the generalised BF invariant (4.1). We will explore the supercurrents of such theories in a forthcoming paper [27].…”

Section: Discussionmentioning

confidence: 99%

New superconformal multiplets and higher derivative invariants in six dimensions

2017

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Within the framework of six-dimensional N = (1, 0) conformal supergravity, we introduce new off-shell multiplets O * (n), where n = 3, 4, . . . , and use them to construct higher-rank extensions of the linear multiplet action. The O * (n) multiplets may be viewed as being dual to well-known superconformal O(n) multiplets. We provide prepotential formulations for the O(n) and O * (n) multiplets coupled to conformal supergravity. For every O * (n) multiplet, we construct a higher derivative invariant which is superconformal on arbitrary superconformally flat backgrounds. We also show how our results can be used to construct new higher derivative actions in supergravity.

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Non-conformal supercurrents in six dimensions

Cited by 6 publications

References 77 publications

Non-conformal higher spin supercurrents

Non-conformal higher spin supercurrents

Relaxed hypermultiplet in four dimensional N=2 conformal supergravity

New superconformal multiplets and higher derivative invariants in six dimensions

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