Article

# Higher Derivative Extension of 6D Chiral Gauged Supergravity

Journal of High Energy Physics (Impact Factor: 5.62). 03/2012; DOI: 10.1007/JHEP07(2012)011

Source: arXiv

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**ABSTRACT:**The first quantum correction to the IIA string effective action arises at the eight-derivative level and takes the schematic form (t8t8-18ɛ10ɛ10)R4+B2∧X8. This correction, however, cannot be complete by itself, as it is neither supersymmetric nor T-duality covariant. We reexamine these eight-derivative couplings and conjecture that the simple replacement R→R(Ω+), where Ω+=Ω+12H is the connection with torsion, nearly completely captures their dependence on the B field. The exception is in the odd-odd spin structure sector, where additional terms are needed. We present here a complete result at the level of the five-point function and a partial one for the six-point function. Further evidence for this conjecture comes from considering T-duality as well as heterotic/IIA duality beyond leading order. Finally, we discuss the eleven-dimensional lift of the modified one-loop type IIA couplings.Nuclear Physics B 09/2013; 874(2):413-470. · 4.33 Impact Factor - [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 × 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 10/2012; · 5.62 Impact Factor - [Show abstract] [Hide abstract]

**ABSTRACT:**We construct new solutions of five-dimensional quadratic gravity as direct products of a constant curvature two-surface with a solution of three-dimensional new massive gravity with constant scalar curvature. These solutions could represent near-horizon limits of five-dimensional asymptotically flat black strings or black rings. A number of these non-asymptotically flat solutions are themselves black strings or rings. A by-product of our analysis is the construction of new solutions of four-dimensional quadratic gravity obtained by toroidal reduction of the five-dimensional solutions with flat transverse space. These again include black strings or rings, and an $AdS_2\times T^2$ solution of $f(R)$ gravity for a specific relation between the model parameters.Classical and Quantum Gravity 11/2013; 31(7). · 3.56 Impact Factor

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