Extended geometry and gauged maximal supergravity

By G. Aldazabal, M. Graña, D. Marqués, J. A. Rosabal. 2013

160 citations recorded by the source corpus.

A bstractWe consider generalized diffeomorphisms on an extended mega-space associated to the U-duality group of gauged maximal supergravity in four dimensions, E7(7). Through the bein for the extended metric we derive dynamical (field-dependent) fluxes taking values in the representations allowed by supersymmetry, and obtain their quadratic constraints from gauge consistency conditions. A covariant generalized Ricci tensor is introduced, defined in terms of a connection for the generalized diffeomorphisms. We show that for any torsionless and metric-compatible generalized connection, the Ricci scalar reproduces the scalar potential of gauged maximal supergravity. We comment on how these results extend to other groups and dimensions.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/9f5290476cce9c673f5e22314f39e3e53a8bc204

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

1. D. Marqués
2. O. Hohm
3. David S. Berman
4. D. Thompson
5. C. Nuñez
6. David Geissbühler
7. G. Aldazabal
8. D. Waldram

In Nuclear and High Energy Physics

1. D. Marqués
2. D. Thompson
3. David S. Berman
4. O. Hohm
5. C. Nuñez
6. G. Aldazabal
7. David Geissbühler
8. D. Waldram

In Statistical and Nonlinear Physics

1. D. Marqués
2. D. Thompson
3. O. Hohm
4. David S. Berman
5. C. Nuñez
6. G. Aldazabal
7. David Geissbühler
8. D. Waldram

Citations in the corpus

• Duality Symmetric String and M-Theory (2013, methodology): “ Including this term it can be shown that the correct potential for gauged supergravity emerges upon Scherk-Schwarz reduction. Further work developing the related geometrical concepts can be found in [264, 265, 266]. 101 6 Conclusions and Discussion This review is of a subject in development. Despit”
• Exceptional field theory. II. E$_{7(7)}$ (2013, background): “For Y -independent (3)See also [32,33] for the geometric interpretation of these terms.”
• Spheres, Generalised Parallelisability and Consistent Truncations (2014, background): “This is the generalised Weitzenböck connection.[45,46] As in the conventional case, the structure constants of the frame algebra are given by the generalised torsion (in frame indices) of the generalised Weitzenböck connection[15,23]9 XAB = E · ( L ÊA Ê B ) = −TA B, (174)”
• Double field theory: a pedagogical review (2013, background): “This idea was first considered in [62], and here we will present the results of [55].”
• Consistent Kaluza-Klein truncations via exceptional field theory (2014, methodology): “J H E P 0 1 ( 2 0 1 5 ) 1 3 1 fields truncated to the internal sector in [36, 42, 43, 57] and recently completed in [48] for the full E7(7) exceptional field theory constructed in [46].”
• Exploring double field theory (2013, methodology): “This extra factor was also considered in [10], where the first geometric construction with a relaxed strong constraint was built in the U-duality case.”