Supergravity

Nieuwenhuizen, P. van

doi:10.1016/0370-1573(81)90157-5

Cited by 1,250 publications

(1,075 citation statements)

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“…An example is given by simple supergravity (a supersymmetric [53,96] gauge theory of gravity, with a symmetry relating bosonic and fermionic fields) in four spacetime dimensions, with auxiliary fields [78].…”

Section: Type-ii Gauge Theoriesmentioning

confidence: 99%

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Quantum Gravity: Unification of Principles and Interactions, and Promises of Spectral Geometry

Booss-Bavnbek¹

2007

SIGMA

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Abstract. Quantum gravity was born as that branch of modern theoretical physics that tries to unify its guiding principles, i.e., quantum mechanics and general relativity. Nowadays it is providing new insight into the unification of all fundamental interactions, while giving rise to new developments in modern mathematics. It is however unclear whether it will ever become a falsifiable physical theory, since it deals with Planck-scale physics. Reviewing a wide range of spectral geometry from index theory to spectral triples, we hope to dismiss the general opinion that the mere mathematical complexity of the unification programme will obstruct that programme.

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Section: Type-ii Gauge Theoriesmentioning

confidence: 99%

“…An example is given by theories with gravitons and gravitinos such as Bose-Fermi supermultiplets of both simple and extended supergravity in any number of spacetime dimensions, without auxiliary fields [78].…”

Section: Type-iii Gauge Theoriesmentioning

confidence: 99%

Quantum Gravity: Unification of Principles and Interactions, and Promises of Spectral Geometry

Booss-Bavnbek¹

2007

SIGMA

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“…One finds to this day many eminent authors who repeat the Weyl-Cartan claim that such a thing is impossible [Weinberg, 1972, Deser and Isham, 1976, van Nieuwenhuizen, 1981, Faddeev, 1982, Lawson and Michelsohn, 1989, Fronsdal and Heidenreich, 1992, Kaku, 1993, Bardeen and Zumino, 1994, Weinberg, 2000, Fatibene and Francaviglia, 2003, Ferraris et al, 2003. What one evidently never finds is any critique of the OP formalism; clearly the same lack of imagination is still doing much of the work as did it in the 1930s, albeit less understandably.…”

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confidence: 99%

The nontriviality of trivial general covariance: How electrons restrict ‘time’ coordinates, spinors (almost) fit into tensor calculus, and of a tetrad is surplus structure

Pitts

2012

Studies in History and Philosophy of Science Part B: Studies in

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It is a commonplace in the philosophy of physics that any local physical theory can be represented using arbitrary coordinates, simply by using tensor calculus.On the other hand, the physics literature often claims that spinors as such cannot be represented in coordinates in a curved space-time. These commonplaces are inconsistent. What general covariance means for theories with fermions, such as electrons, is thus unclear. In fact both commonplaces are wrong. Though it is not widely known, Ogievetsky and Polubarinov constructed spinors in coordinates in 1965, enhancing the unity of physics and helping to spawn particle physicists' concept of nonlinear group representations. Roughly and locally, these spinors resemble the orthonormal basis or "tetrad" formalism in the symmetric gauge, but they are conceptually self-sufficient and more economical. The typical tetrad formalism is de-Ockhamized, with six extra field components and six compensating gauge symmetries to cancel them out. The Ogievetsky-Polubarinov formalism, by contrast, is (nearly) Ockhamized, with most of the fluff removed. As developed * Forthcoming in Studies in History and Philosophy of Modern Physics 1 nonperturbatively by Bilyalov, it admits any coordinates at a point, but "time" must be listed first. Here "time" is defined in terms of an eigenvalue problem involving the metric components and the matrix diag(−1, 1, 1, 1), the product of which must have no negative eigenvalues in order to yield a real symmetric square root that is a function of the metric. Thus even formal general covariance requires reconsideration; the atlas of admissible coordinate charts should be sensitive to the types and values of the fields involved.Apart from coordinate order and the usual spinorial two-valuedness, (densitized) Ogievetsky-Polubarinov spinors form, with the (conformal part of the) met- The surprising mildness of the restrictions on coordinate order as applied to the Schwarzschild solution is exhibited.

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“…Data on the binary pulsar PSR 1913+16, tests of the equivalence principle and searches for a fifth force yield an upper bound of order 1 meter (respectively, 100 meters) on the range of the gravivector (respectively, graviscalar) interaction. Hence these fields are not important in non-relativistic astrophysics (for the weak-field limit of N = 2, 8 supergravity) but can play a role near black holes and for primordial structures in the early universe of a size comparable to their Compton wavelengths.The quest for a unified description of elementary particle and gravity theories led to local supersymmetry [1]. The large symmetry content of supergravity yields, in spite of its lack of renormalizability, powerful constraints on physical observables, e.g.…”

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confidence: 99%

Phenomenology of Antigravity in N=2, 8 Supergravity

Bellucci

1999

International Europhysics Conference on High Energy Physics

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Abstract. N = 2, 8 supergravity predicts antigravity (gravivector and graviscalar) fields in the graviton supermultiplet. Data on the binary pulsar PSR 1913+16, tests of the equivalence principle and searches for a fifth force yield an upper bound of order 1 meter (respectively, 100 meters) on the range of the gravivector (respectively, graviscalar) interaction. Hence these fields are not important in non-relativistic astrophysics (for the weak-field limit of N = 2, 8 supergravity) but can play a role near black holes and for primordial structures in the early universe of a size comparable to their Compton wavelengths.The quest for a unified description of elementary particle and gravity theories led to local supersymmetry [1]. The large symmetry content of supergravity yields, in spite of its lack of renormalizability, powerful constraints on physical observables, e.g. anomalous magnetic moments [2].It has been shown that a clear case for antigravity theories arises, when considering N > 1 supergravity theories [3, 4]. Combining laboratory data together with geophysical and astronomical observations has provided us restrictions on the antigravity features of some extended supergravity theories [5,6]. This can have important consequences for high precision experiments measuring the difference in the gravitational acceleration of the proton and the antiproton [7]. A review of earlier ideas about antigravity is found in [8].The N = 2, 8 supergravity multiplets contain, in addition to the graviton, a vector field A l µ [9], [10,11]. This field, which we refer to as the gravivector, carries antigravity, because it couples to quarks and leptons with a positive sign and to antiquark and antileptons with a negative one. The coupling is proportional to the mass of the matter fields and vanishes for self-conjugated particles. The other antigravity field is the scalar σ entering the N = 8 supergravity multiplet [3, 4]. We refer to it as the graviscalar.We are bound, in force of the result of the Eötvös experiment, to take a nonvanishing mass for the field A l µ [3, 4].where the Higgs mechanism has been invoked. The presence of the gravivector in the theory introduces a violation of the equivalence principle on a range of distances of order the Compton wavelength R l . At present, the equivalence principle is verified with a precision |δγ/γ| <

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Supergravity

Cited by 1,250 publications

References 220 publications

Quantum Gravity: Unification of Principles and Interactions, and Promises of Spectral Geometry

Quantum Gravity: Unification of Principles and Interactions, and Promises of Spectral Geometry

The nontriviality of trivial general covariance: How electrons restrict ‘time’ coordinates, spinors (almost) fit into tensor calculus, and of a tetrad is surplus structure

Phenomenology of Antigravity in N=2, 8 Supergravity

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