Electric-magnetic dualities in supergravity

Supergravity with eight supercharges in a four-dimensional Euclidean space is constructed at the full non-linear level by performing an off-shell time-like reduction of five-dimensional supergravity. The resulting four-dimensional theory is realized off-shell with the Weyl, vector and tensor supermultiplets and a corresponding multiplet calculus. Hypermultiplets are included as well, but they are themselves only realized with on-shell supersymmetry. We also briefly discuss the non-linear supermultiplet. The off-shell reduction leads to a full understanding of the Euclidean theory. A complete multiplet calculus is presented along the lines of the Minkowskian theory. Unlike in Minkowski space, chiral and anti-chiral multiplets are real and supersymmetric actions are generally unbounded from below. Precisely as in the Minkowski case, where one has different formulations of Poincaré supergravity upon introducing different compensating supermultiplets, one can also obtain different versions of Euclidean supergravity.

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“…This function will only exist provided (6.13) is satisfied. This is all in line with what is known from the Minkowski theory [38,41,42].…”

Section: Jhep12(2017)011supporting

confidence: 89%

Euclidean supergravity

Wit

Reys

2017

J. High Energ. Phys.

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“…To gauge-fix the dilatational symmetry, we choose the D-gauge that sets the Kähler potential to be constant: 37) with the value of the constant chosen to reproduce the standard normalization of the Einstein-Hilbert term in the action. The SU(2) R symmetry can be gauge-fixed by imposing the V -gauge…”

Section: Jhep08(2017)048mentioning

confidence: 99%

Non-renormalization for non-supersymmetric black holes

Charles

Larsen

Mayerson

2017

J. High Energ. Phys.

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Abstract:We analyze large logarithmic corrections to 4D black hole entropy and relate them to the Weyl anomaly. We use duality to show that counter-terms in EinsteinMaxwell theory can be expressed in terms of geometry alone, with no dependence on matter terms. We analyze the two known N = 2 supersymmetric invariants for various non-supersymmetric black holes and find that both reduce to the Euler invariant. The c-anomaly therefore vanishes in these theories and the coefficient of the large logarithms becomes topological. It is therefore independent of continuous black hole parameters, such as the mass, even far from extremality.

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“…However, by making use of (2.14) we can make the dependence on E implicit, provided we also introduce an SU(8) (selfdual) covariant field strength, defined by 16) where the complex 28 × 28 symmetric matrix N is defined by (u…”

Section: Coset-space Geometry and Dualitymentioning

confidence: 99%

On Lagrangians and gaugings of maximal supergravities

2003

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A consistent gauging of maximal supergravity requires that the T -tensor transforms according to a specific representation of the duality group. The analysis of viable gaugings is thus amenable to group-theoretical analysis, which we explain and exploit for a large variety of gaugings. We discuss the subtleties in four spacetime dimensions, where the ungauged Lagrangians are not unique and encoded in an E 7(7) \Sp(56; R)/GL(28) matrix. Here we define the T -tensor and derive all relevant identities in full generality. We present a large number of examples in d = 4, 5 spacetime dimensions which include non-semisimple gaugings of the type arising in (multiple) ScherkSchwarz reductions. We also present some general background material on the latter as well as some group-theoretical results which are necessary for using computer algebra.

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Electric-magnetic dualities in supergravity

Cited by 40 publications

References 89 publications

Euclidean supergravity

Euclidean supergravity

Non-renormalization for non-supersymmetric black holes

On Lagrangians and gaugings of maximal supergravities

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