The gauge structure of generalised diffeomorphisms
By David S. Berman, M. Cederwall, Axel Kleinschmidt, D. Thompson. 2012
292 citations recorded by the source corpus.
A bstractWe investigate the generalised diffeomorphisms in M-theory, which are gauge transformations unifying diffeomorphisms and tensor gauge transformations. After giving an En(n)-covariant description of the gauge transformations and their commutators, we show that the gauge algebra is infinitely reducible, i.e., the tower of ghosts for ghosts is infinite. The Jacobiator of generalised diffeomorphisms gives such a reducibility transformation. We give a concrete description of the ghost structure, and demonstrate that the infinite sums give the correct (regularised) number of degrees of freedom. The ghost towers belong to the sequences of representations previously observed appearing in tensor hierarchies and Borcherds algebras. All calculations rely on the section condition, which we reformulate as a linear condition on the cotangent directions. The analysis holds for n < 8. At n = 8, where the dual gravity field becomes relevant, the natural guess for the gauge parameter and its reducibility still yields the correct counting of gauge parameters.
Subfields: Mathematical Physics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/b1847205aac84d417024cb5f0e4e65b55c08a518
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Mathematical Physics
In Nuclear and High Energy Physics
In Statistical and Nonlinear Physics
Citations in the corpus
- Exceptional field theory. II. E$_{7(7)}$ (2013, background): “Its action on a vector V M of weight λ is defined as [26,27] δV M “ LΛV M ” ΛBKV M ́ 12PN K L BKΛ L V N ` λ BPΛ P V M , (2.”
- Exceptional field theory. III. E8(8) (2014, background): “2 The dependence of all fields on the extended 248 coordinates Y M is restricted by E8p8q covariant section constraints [16, 17] that project out sub-representations in the tensor product 248 b 248, ` P1`248`3875 ̆ MN BK b BL “ 0 .”
- Duality Symmetric String and M-Theory (2013, background): “These results were found for the case of SL(5) in [239] with the general case given by [20] and further developed in [238].”
- The spacetime of double field theory: Review, remarks, and outlook (2013, background): “The ideas of DFT have also been generalized to various U-duality groups in order to describe truncations of D = 11 supergravity [62–70].”
- Double field theory: a pedagogical review (2013, methodology): “Some relevant representations of U-duality groups [45].”
- Extended geometry and gauged maximal supergravity (2013, methodology): “Notice also that, as shown in [13], the Jacobiator can be written as J(ξ1, ξ2, ξ3) ≡ [[[[ξ1, ξ2]], ξ3]] + cyclic = 1 3 (([[ξ1, ξ2]], ξ3)) + cyclic (3.”
- Consistent Kaluza-Klein truncations via exceptional field theory (2014, background): “, 56, transforming in the fundamental representation of E7(7), however the latter dependence is strongly restricted by the section condition [40, 42, 55]”
- Duality invariant M-theory: gauged supergravities and Scherk-Schwarz reductions (2012, unknown): “in [48] with the following results:(7) O(n, n)strings : Y MN PQ = η ηPQ , SL(5) : Y PQ = ǫ ǫiPQ , SO(5, 5) : Y PQ = 1 2 (γ)(γi)PQ , E6(6) : Y MN PQ = 10d d̄PQR , E7(7) : Y MN PQ = 12c MN PQ + δ (M P δ N) Q + 1 2 ǫ ǫPQ .”
- Exploring double field theory (2013, methodology): “More general U-duality covariant frameworks have been constructed in [20–30] and [31– 36], and the relation between some of these theories and DFT was explained in [37].”