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- Ananth, S., et al.
(författare)
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A hidden symmetry in quantum gravity
- 2018
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Ingår i: Journal of High Energy Physics. - 1029-8479 .- 1126-6708. ; 2018:11
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Tidskriftsartikel (refereegranskat)abstract
- The action integral contains more information than the equations of motion. Since it is an integral, changes of the integration variables occasionally also expose symmetries more easily than working directly with the equations of motion. We have previously shown that there are signs of an extended exceptional symmetry for N= 8 supergravity in four dimensions. The symmetry is such that the fields used in the Lagrangian are not representations of the symmetry. Instead one has to add representations to obtain a representation of the extended symmetry group. In this paper we discuss an extended symmetry in four-dimensional gravity which is the “Ehlers Symmetry” in three dimensions. It cannot be spanned by the helicity states of four-dimensional gravity but it can be realised once we treat the helicity states just as field variables of the functional integral, which can be changed like variables in any integral. We also explain how this symmetry is inherent in formulations of N= 8 supergravity in four dimensions through a truncation in the field space to pure gravity. The establishment of these “hidden” symmetries should play an important role in the perturbative behaviour of the quantum theories. Since the method used n this paper is purely algebraic we will not provide any information on the geometric role of these symmetries.
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- Ananth, S., et al.
(författare)
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Bondi-Metzner-Sachs algebra as an extension of the Poincaré symmetry in light-cone gravity
- 2021
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Ingår i: Journal of High Energy Physics. - 1029-8479 .- 1126-6708. ; 2021:7
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Tidskriftsartikel (refereegranskat)abstract
- We analyze possible local extensions of the Poincaré symmetry in light-cone gravity in four dimensions. We use a formalism where we represent the algebra on the two physical degrees of freedom, one with helicity 2 and the other with helicity −2. The representation is non-linearly realized and one of the light-cone momenta is the Hamiltonian, which is hence a non-linear generator of the algebra. We find that this can be locally realized and the Poincaré algebra extended to the BMS symmetry without any reference to asymptotic limits.
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- Ananth, S., et al.
(författare)
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E 8 in N= 8 supergravity in four dimensions
- 2018
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Ingår i: Journal of High Energy Physics. - 1029-8479 .- 1126-6708. ; 2018:1
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Tidskriftsartikel (refereegranskat)abstract
- We argue that N= 8 supergravity in four dimensions exhibits an exceptional E 8(8) symmetry, enhanced from the known E 7(7) invariance. Our procedure to demonstrate this involves dimensional reduction of the N= 8 theory to d = 3, a field redefinition to render the E 8(8) invariance manifest, followed by dimensional oxidation back to d = 4.
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- Ananth, S., et al.
(författare)
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Exceptional versus superPoincaré algebra as the defining symmetry of maximal supergravity
- 2016
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Ingår i: Journal of High Energy Physics. - 1029-8479 .- 1126-6708. ; 2016:3
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Tidskriftsartikel (refereegranskat)abstract
- © 2016, The Author(s). We describe how one may use either the superPoincaré algebra or the exceptional algebra to construct maximal supergravity theories in the light-cone formalism. The d = 4 construction shows both symmetries albeit in a non-linearly realized manner. In d = 11, we find that we have to choose which of these two symmetries to use, in constructing the theory. In order to understand the other “unused” symmetry, one has to perform a highly non-trivial field redefinition. We argue that this shows that one cannot trust counterterm arguments that do not take the full symmetry of the theory into account. Finally we discuss possible consequences for Superstring theory and M-theory.
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- Ananth, S., et al.
(författare)
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Gravitation and quadratic forms
- 2017
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Ingår i: Journal of High Energy Physics. - : Springer Science and Business Media LLC. - 1029-8479 .- 1126-6708. ; 2017:3
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Tidskriftsartikel (refereegranskat)abstract
- The light-cone Hamiltonians describing both pure (N = 0) Yang-Mills and N = 4 super Yang-Mills may be expressed as quadratic forms. Here, we show that this feature extends to theories of gravity. We demonstrate how the Hamiltonians of both pure gravity and N = 8 supergravity, in four dimensions, may be written as quadratic forms. We examine the effect of residual reparametrizations on the Hamiltonian and the resulting quadratic form.
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