Spontaneous Compactification of D=5 Pure Gravity

Castellani, Leonardo; Auria, Riccardo D’; Fré, Pietro

doi:10.1142/9789814542388_0036

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“…Similarly the sector (2, 1) of the gravitino Bianchi identity yields the gravitino equation and, by supersymmetry, also the graviton and graviphoton equations. The Lagrangian leading to these equations can be obtained using the constructive methods of [21]. We point out that this Lagrangian, unlike the one presented in [ l , 21, is by construction invariant under diffeomorphisms on A.…”

Section: + ( 2 R J K * R + ~S : G K * / ) H ~X K L H a ' = 0 mentioning

confidence: 99%

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Special geometry without special coordinates

Castellani¹,

D’Auria²,

Ferrara³

1990

Class. Quantum Grav.

111

118

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Presents a detailed geometric derivation of N=2, 4D supergravity coupled to Abelian vector multiplets (1,1/2,0). The theory is covariant under reparametrisations of the manifold M spanned by the scalar fields. By requiring the closure of the supersymmetry transformation laws, the authors find a coordinate-free characterisation of M. The geometry of M, called 'special geometry', is relevant to compactified string theories, since it is common to the moduli spaces of Calabi-Yau threefolds and c=9 (2,2) superconformal field theories.

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Section: + ( 2 R J K * R + ~S : G K * / ) H ~X K L H a ' = 0 mentioning

confidence: 99%

“…t We recall that the invariances of the theory are, in our framework[21], the superspace diffeomorphisms.On a generic field pA, these have the form: SpA(y) = p A ( y + Sy)p A ( y ) = ( V S Y ) ~ + &,RA, where fa,, is the contraction along the tangent vector Sy.…”

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confidence: 99%