Higher Derivative Extension of 6D Chiral Gauged Supergravity

Journal of High Energy Physics (Impact Factor: 6.11). 03/2012; 2012(7). DOI: 10.1007/JHEP07(2012)011
Source: arXiv


Six-dimensional (1, 0) supersymmetric gauged Einstein-Maxwell supergravity is extended by the inclusion of a supersymmetric Riemann tensor squared invariant. Both the original model as well as the Riemann tensor squared invariant are formulated off-shell and consequently the total action is off-shell invariant without modification of the supersymmetry transformation rules. In this formulation, superconformal techniques, in which the dilaton Weyl multiplet plays a crucial role, are used. It is found that the gauging of the U(1) R-symmetry in the presence of the higher-order derivative terms does not modify the positive exponential in the dilaton potential. Moreover, the supersymmetric Minkowski4 × S
2 compactification of the original model, without the higher-order derivatives, is remarkably left intact. It is shown that the model also admits non-supersymmetric vacuum solutions that are direct product spaces involving de Sitter spacetimes and negative curvature internal spaces.

Download full-text


Available from: Ergin Sezgin, Jul 27, 2015
  • Source
    • "B • mn is the background two-form potential, the background field E • m has been defined in (2.4) and satisfies ∇ m E • m = 0. The θ r denote a set of coupling constants which single out one of the vector fields and descend from an R-symmetry gauging of the underlying supergravity [21]. Accordingly, their gauge invariance requires an abelian factor within the Yang-Mills gauge group. "
    [Show abstract] [Hide abstract]
    ABSTRACT: We construct rigid supersymmetric theories for interacting vector and tensor multiplets on six-dimensional Riemannian spin manifolds. Analyzing the Killing spinor equations, we derive the constraints on these theories. To this end, we reformulate the conditions for supersymmetry as a set of necessary and sufficient conditions on the geometry. The formalism is illustrated with a number of examples, including manifolds that are hermitian, strong Kaehler with torsion. As an application, we show that the path integral of pure super Yang-Mills theory defined on a Calabi-Yau threefold M_6 localizes on stable holomorphic bundles over M_6.
    Journal of High Energy Physics 12/2012; 2013(3). DOI:10.1007/JHEP03(2013)137 · 6.11 Impact Factor
  • Source
    [Show abstract] [Hide abstract]
    ABSTRACT: Gauged off-shell Maxwell-Einstein supergravity in six dimensions with N=(1,0) supersymmetry has a higher derivative extension afforded by a supersymmetrized Riemann squared term. This theory admits a supersymmetric Minkowski x S^2 compactification with a U(1) monopole of unit charge on S^2. We determine the full spectrum of the theory on this background. We also determine the spectrum on a non-supersymmetric version of this compactification in which the monopole charge is different from unity, and we find the peculiar feature that there are massless gravitini in a representation of the S^2 isometry group determined by the monopole charge.
    Journal of High Energy Physics 04/2012; 2012(10). DOI:10.1007/JHEP10(2012)154 · 6.11 Impact Factor
  • Source
    [Show abstract] [Hide abstract]
    ABSTRACT: We propose a superspace formulation of N=(1,0) conformal supergravity in six dimensions. The corresponding superspace constraints are invariant under super-Weyl transformations generated by a real scalar parameter. The known variant Weyl super-multiplet is recovered by coupling the geometry to a super-3-form tensor multiplet. Isotwistor variables are introduced and used to define projective superfields. We formulate a locally supersymmetric and super-Weyl invariant action principle in projective superspace. Some families of dynamical supergravity-matter systems are presented.
    Journal of High Energy Physics 04/2012; 2012(8). DOI:10.1007/JHEP08(2012)075 · 6.11 Impact Factor
Show more