The geometry of N = 2 Maxwell-Einstein supergravity and Jordan algebras

Günaydın, Murat; Sierra, Germȧn; Townsend, Paul

doi:10.1016/0550-3213(84)90142-1

Cited by 593 publications

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“…The completely symmetric tensor CĨJK , by contrast, is constant. Remarkably, the entire N = 2 MESGT (including also the fermionic terms and the supersymmetry transformation laws we have not shown here) is uniquely determined by the CĨJK [7]. More explicitly, the CĨJK define a cubic polynomial, V(h), in (ñ + 1) real variables hĨ (Ĩ = 0, 1, .…”

Section: D N = Maxwell-einstein Supergravity Theoriesmentioning

confidence: 86%

“…denote the flat and curved indices, respectively, of theñ-dimensional target manifold, M, of the scalar fields. The bosonic part of the Lagrangian is given by (for the fermionic part and further details see [7])…”

Section: D N = Maxwell-einstein Supergravity Theoriesmentioning

confidence: 99%

“…Theñ-dimensional target space, M, of the scalar fields ϕx can then be represented as the hypersurface [7] V(h) = CĨJK hĨ hJ hK = 1 , (2.5)…”

Section: D N = Maxwell-einstein Supergravity Theoriesmentioning

confidence: 99%

“…This requirement induces constraints on the possible CĨJK , and in [7] it was shown that any CĨJK that satisfy these constraints can be brought to the following form 6) with the remaining coefficients C ijk (i, j, k = 1, 2, . .…”

Section: D N = Maxwell-einstein Supergravity Theoriesmentioning

confidence: 99%

“…Section 3 gives a short description of the four unified MESGTs with symmetric target spaces that were found in ref. [7]. In Section 4 we recall the relation of these four theories to Jordan algebras and show how the language of Jordan algebras quickly leads to the construction of three novel infinite families as well as another exceptional unified MESGT.…”

Section: Introductionmentioning

confidence: 99%

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Unified Maxwell-Einstein and Yang-Mills-Einstein supergravity theories in five dimensions

Günaydın

Zagermann

2003

J. High Energy Phys.

116

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Unified N = 2 Maxwell-Einstein supergravity theories (MESGTs) are supergravity theories in which all the vector fields, including the graviphoton, transform in an irreducible representation of a simple global symmetry group of the Lagrangian. As was established long time ago, in five dimensions there exist only four unified Maxwell-Einstein supergravity theories whose target manifolds are symmetric spaces. These theories are defined by the four simple Euclidean Jordan algebras of degree three. In this paper, we show that, in addition to these four unified MESGTs with symmetric target spaces, there exist three infinite families of unified MESGTs as well as another exceptional one. These novel unified MESGTs are defined by non-compact (Minkowskian) Jordan algebras, and their target spaces are in general neither symmetric nor homogeneous. The members of one of these three infinite families can be gauged in such a way as to obtain an infinite family of unified N = 2 Yang-MillsEinstein supergravity theories, in which all vector fields transform in the adjoint representation of a simple gauge group of the type SU (N, 1). The corresponding gaugings in the other two infinite families lead to Yang-Mills-Einstein supergravity theories coupled to tensor multiplets.

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Section: D N = Maxwell-einstein Supergravity Theoriesmentioning

confidence: 86%

Section: D N = Maxwell-einstein Supergravity Theoriesmentioning

confidence: 99%

“…Theñ-dimensional target space, M, of the scalar fields ϕx can then be represented as the hypersurface [7] V(h) = CĨJK hĨ hJ hK = 1 , (2.5)…”

Section: D N = Maxwell-einstein Supergravity Theoriesmentioning

confidence: 99%

Section: D N = Maxwell-einstein Supergravity Theoriesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Unified Maxwell-Einstein and Yang-Mills-Einstein supergravity theories in five dimensions

Günaydın

Zagermann

2003

J. High Energy Phys.

116

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Black Hole Entropy, Special Geometry and Strings

Mohaupt

2001

Fortschritte der Physik

183

251

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We review work done over the last years on the macroscopic and microscopic entropy of supersymmetric black holes in fourdimensional N = 2 supergravity and in N = 2 compactifications of string theory and M-theory. Particular emphasis is put on the crucial role of higher curvature terms and of modifications of the area law in obtaining agreement between the macroscopic entropy, which is a geometric property of black hole solutions and the microscopic entropy, which is computed by state counting in Calabi-Yau compactifications of string or M-theory. We also discuss invariance properties of the entropy under stringy T-duality and S-duality transformations in N = 2, 4 compactifications in presence of higher curvature terms.In order to make the paper self-contained we review the laws of black hole mechanics in higher derivative gravity, the definition of entropy as a surface charge, the superconformal offshell description of N = 2 supergravity, special geometry, and N = 2 compactifications of heterotic and type II string theory and of M-theory.

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Domain Walls and Flow Equations in Supergravity

Behrndt¹

2001

Fortschr. Phys.

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The geometry of N = 2 Maxwell-Einstein supergravity and Jordan algebras

Cited by 593 publications

References 17 publications

Unified Maxwell-Einstein and Yang-Mills-Einstein supergravity theories in five dimensions

Unified Maxwell-Einstein and Yang-Mills-Einstein supergravity theories in five dimensions

Black Hole Entropy, Special Geometry and Strings

Domain Walls and Flow Equations in Supergravity

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