Soft spin fermions require gravity and supersymmetry

Grisaru, Marcus T.; Pendleton, Hugh

doi:10.1016/0370-2693(77)90383-5

Cited by 52 publications

(72 citation statements)

References 4 publications

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“…The argument was extended to Fermions in [6,7], where it was shown that interacting massless Fermions exist only up to spin 3/2 2 . Both [5] and [6,7] rely on the existence of processes in which 2 Spin 3/2 Fermions were also shown to interact as the supersymmetric partners of the graviton, i.e. the number of spin s particles changes by one unit.…”

Section: A Brief History Of No Go Theoremsmentioning

confidence: 99%

Universal limits on massless high-spin particles

Porrati

2008

Phys. Rev. D

134

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Section: A Brief History Of No Go Theoremsmentioning

confidence: 99%

Universal limits on massless high-spin particles

Porrati

2008

Phys. Rev. D

134

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“…In principle, one can go beyond the free-propagation level and consider gravitational coupling of the HS fields in the bulk. Because the fields are massive, their interactions with gravity do not suffer from any immediate issues originating from gauge invariance, unlike the massless [1][2][3][4][5][6][7] and partially massless [81][82][83][84][85][86][87] cases. This is however beyond the scope of our present work.…”

Section: Discussionmentioning

confidence: 99%

“…By so doing, one would demand that the trace always remain zero, even in the presence of interactions. 2 Another possibility is to view our original system (2.1)-(2.3) as…”

Section: Jhep10(2014)193mentioning

confidence: 99%

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Higher-spin modes in a domain-wall universe

Kulaxizi

Rahman

2014

J. High Energ. Phys.

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We find a consistent set of equations of motion and constraints for massive higher-spin fluctuations in a gravitational background, required of certain characteristic properties but more general than constant curvature space. Of particular interest among such geometries is a thick domain wall−a smooth version of the Randall-Sundrum metric. Apart from the graviton zero mode, the brane accommodates quasi-bound massive states of higher spin contingent on the bulk mass. We estimate the mass and lifetime of these higherspin resonances, which may appear as metastable dark matter in a braneworld universe.

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“…There is extensive literature showing that spin-3 2 fields are consistent within the context of supergravity, where the number of fermionic propagating degrees of freedom is not increased by the interaction; see for example [8,9]. However, there is no supergravity theory incorporating general SUðNÞ, and in particular SUð8Þ, gauge fields.…”

Section: Introductionmentioning

confidence: 99%

Canonical field anticommutators in the extended gauged Rarita-Schwinger theory

2017

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We reexamine canonical quantization of the gauged Rarita-Schwinger theory using the extended theory, incorporating a dimension 1 2 auxiliary spin-1 2 field Λ, in which there is an exact off-shell gauge invariance. In Λ ¼ 0 gauge, which reduces to the original unextended theory, our results agree with those found by Johnson and Sudarshan, and later verified by Velo and Zwanziger, which give a canonical Rarita-Schwinger field Dirac bracket that is singular for small gauge fields. In gauge covariant radiation gauge, the Dirac bracket of the Rarita-Schwinger fields is nonsingular, but does not correspond to a positive semidefinite anticommutator, and the Dirac bracket of the auxiliary fields has a singularity of the same form as found in the unextended theory. These results indicate that gauged Rarita-Schwinger theory is somewhat pathological, and cannot be canonically quantized within a conventional positive semidefinite metric Hilbert space. We leave open the questions of whether consistent quantizations can be achieved by using an indefinite metric Hilbert space, by path integral methods, or by appropriate couplings to conventional dimension

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Soft spin fermions require gravity and supersymmetry

Cited by 52 publications

References 4 publications

Universal limits on massless high-spin particles

Universal limits on massless high-spin particles

Higher-spin modes in a domain-wall universe

Canonical field anticommutators in the extended gauged Rarita-Schwinger theory

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