Uniqueness of $$ \mathcal{N} $$ = 2 and 3 pure supergravities in 4D

Boulanger, Nicolas; Juliá, B.; Traina, Lucas

doi:10.1007/jhep04(2018)097

Cited by 8 publications

(3 citation statements)

References 36 publications

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“…No other restrictions are made a priori, although eventually we will set limits on the number of derivatives that may appear in the gauge transformations and in the Lagrangian, therefore ensuring locality. We also assume covariance of the deformation under the (A)dS background isometry algebra, as explained in [65] to which we refer fore more details. As stated earlier, we actually consider the reformulation (and further generalization) of the deformation procedure of [64] using the BRST-BV cohomological approach spelled out in [62,63].…”

Section: Field Variablementioning

confidence: 99%

Interactions for Partially-Massless Spin-2 Fields

Boulanger

García-Sáenz

Traina

2020

Phys. Part. Nuclei Lett.

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We perform a complete classification of the consistent two-derivative cubic couplings for a system containing an arbitrary number of massless spin-1, massless spin-2, and partially massless (PM) spin-2 fields in D-dimensional (anti-)de Sitter space. In addition to previously known results, we find a unique candidate mixing between spin-1 and PM spin-2 fields. We derive all the quadratic constraints on the structure constants of the theory, allowing for relative "wrong-sign" kinetic terms for any of the fields. In the particular case when the kinetic terms in each sector have no relative signs, we find that the unique consistent non-trivial theory is given by multiple independent copies of conformal gravity coupled to a Yang-Mills sector in D = 4. Our results strengthen the well-known no-go theorems on the absence of mutual interactions for massless and PM spin-2 fields.

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Section: Field Variablementioning

confidence: 99%

Interactions for Partially-Massless Spin-2 Fields

Boulanger

García-Sáenz

Traina

2020

Phys. Part. Nuclei Lett.

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“…Even though, one may in general expect no new constraints but it is worth to see explicitly that the supersymmetric extension does not require any extra constraints. There has been works along this way [176], where the deformation of a free theory in the presence of both bosons and fermions were considered. It is then intriguing to consider scalar coupling from the beginning as it enhances the electric-magnetic duality symmetry group and to analyze the deformations of such a theory.…”

Section: Prospectsmentioning

confidence: 99%

Conformal field theories from deformations of theories with $W_n$ symmetry

Babaro,

Giribet,

Ranjbar

2016

Preprint

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This thesis is devoted to various questions connected with duality. It is composed of two parts.The first part discusses some aspects of timelike T-duality. We explore the possibility of compactification of supergravity theories with various signatures (low energy limit of M -theories which are dual under timelike T-dualities) on parallelizable internal seven dimensional (pseudo-)spheres. We show that, beside the standard theory, only one of the dual theories known as M -theory can admit such a solution. The effective four dimensional theory is non-supersymmetric and due to the presence of torsion the symmetry of seven dimensional (pseudo-)sphere breaks down to Spin(3, 4).In the second part, in an attempt to have a systematic discussion of gaugings in supergravity, we show the isomorphism between the space of local deformations of the appropriate zero coupling limit of the embedding tensor Lagrangian and that of the second-order scalar-vector Lagrangian, describing the bosonic sector of supergravity ignoring gravity, in a chosen duality frame determined by embedding tensors. We analyze the BV-BRST deformation of a class of scalar-vector coupled Lagrangians, which contains supergravity Lagrangians as examples, and find a set of constraints that guarantee the consistency of the deformations of the Lagrangians. We show in principle that for a large class of theories considered in this thesis, the only deformations are those of the Yang-Mills type associated with a subgroup of the rigid symmetries.

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“…The only other massless N = 2 supermultiplet that contains vector fields is the s = 3/2 gravitino multiplet. It has recently been shown that the s = 3/2 Rarita-Schwinger field can be coupled to vector fields consistently only as part of a graviton supermultiplet and that the N = 2 pure supergravity is unique [31]. These results show clearly that it is impossible to deform the maximal supergravity consistent with supersymmetry sourced by auxiliary vector fields along the lines of BN proposal.…”

mentioning

confidence: 95%

Supersymmetry constraints on U-duality invariant deformations of $$ \mathcal{N} $$ ≥ 5 supergravity

Günaydın

Каллош

2019

J. High Energ. Phys.

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Candidate counterterms break E7 type U-duality symmetry of N ≥ 5 supergravity theories in four dimensions [1]. A proposal was made in [2] to restore it, starting with a double set of vector fields and argued that a supersymmetric extension of their proposal should exist. We show that the extra vectors, needed for the deformation, can not be auxiliary fields in an eventual off-shell formulation N ≥ 5 supergravity, assuming that such a formulation exists. Furthermore we show that these extra vector fields can not be dynamical either since that changes the unitary supermultiplets underlying these theories and requires one to go beyond the standard framework of extended simple supergravities. To show this we list all relevant unitary conformal supermultiplets of SU (2, 2|N + n). We find that doubling of vectors consistent with linearized supersymmetry requires to change the number of scalars, violating the coset structure of the theory, and also to add a finite number of higher spin fields, which do not admit consistent couplings to theories with spins ≤ 2. Thus, the proposed duality restoring deformation along the lines of [2] can not be implemented within the standard framework of extended supergravity theories. We argue therefore that, in the absence of anomalies, E7 type duality together with supersymmetry, might protect N ≥ 5 supergravity from UV divergences, in particular, N = 5 supergravity at 4 loops in d=4.

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Uniqueness of $$ \mathcal{N} $$ = 2 and 3 pure supergravities in 4D

Cited by 8 publications

References 36 publications

Interactions for Partially-Massless Spin-2 Fields

Interactions for Partially-Massless Spin-2 Fields

Conformal field theories from deformations of theories with $W_n$ symmetry

Supersymmetry constraints on U-duality invariant deformations of $$ \mathcal{N} $$ ≥ 5 supergravity

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