An Sl(2, Z) multiplet of nine-dimensional type II supergravity theories (original) (raw)

Duality of type-II 7-branes and 8-branes

Nuclear Physics B, 1996

We present a version of ten-dimensional IIA supergravity containing a 9-form potential for which the field equations are equivalent to those of the standard, massless, IIA theory for vanishing 10-form field strength, F10, and to those of the ‘massive’ IIA theory for non-vanishing F10. We present a multi 8-brane solution of these equations that generalizes the 8-brane of Polchinski and Witten. We show that this solution is T-dual to a new multi 7-brane solution of S1 compactified IIIB supergravity, and that the latter is T-dual to the IIA 6-brane. When combined with the ) U-duality of the type-IIB superstring, the T-duality between type-11 7-branes and 8-branes implies a quantization of the cosmological constant of type-IIA superstring theory. These results are made possible by the construction of a new massiveN = 2 D = 9 supergravity theory. We also discuss the 11-dimensional interpretation of these type-II p-branes.

Supersymmetry of massive D=9 supergravity

Physics Letters B, 2002

By applying generalized dimensional reduction on the type IIB supersymmetry variations, we derive the supersymmetry variations for the massive 9-dimensional supergravity. We use these variations and the ones for massive type IIA to derive the supersymmetry transformation of the gravitino for the proposed massive 11-dimensional supergravity.

and reductions of type IIA supergravity

Nuclear Physics B, 2000

We construct a consistent reduction of type IIA supergravity on S 3 , leading to a maximal gauged supergravity in seven dimensions with the full set of massless SO(4) Yang-Mills fields. We do this by starting with the known S 4 reduction of eleven-dimensional supergravity, and showing that it is possible to take a singular limit of the resulting standard SO(5)-gauged maximal supergravity in seven dimensions, whose eleven-dimensional interpretation involves taking a limit where the internal 4-sphere degenerates to IR × S 3 . This allows us to reinterpret the limiting SO(4)-gauged theory in seven dimensions as the S 3 reduction of type IIA supergravity. We also obtain the consistent S 4 reduction of type IIA supergravity, which gives an SO(5)-gauged maximal supergravity in D = 6.

The D8-brane tied up: string and brane solutions in massive type IIA supergravity

Physics Letters B, 1999

We present two new solutions of Romans' massive type IIA supergravity characterized by the two non-trivial massive potentials of Romans' theory: the NSNS 2-form and the RR 7-form. They can be interpreted respectively as the intersection of a fundamental string and a D8-brane over a D0-brane and the intersection of a D6brane with a D8-brane over a NSNS5-brane. The D8-brane manifests itself through the mass parameter and in the massless limit one recovers the standard fundamental string and D6-brane solutions.

T-duality invariance, M2-brane bundles and type II classification of gauged supergravities

2016

In this paper we obtain the complete classification of the M2-brane symplectic torus bundles classes with monodromy in SL(2,Z) and their precise T-duality relations among them. There are eight inequivalent classes of bundles which are, at low energies, in correspondence with the eight type II gauged supergravities in nine dimensions. In a previous work we have already obtained four of those. Here we provide the explicit realization of the remaining four classes. We also generalize our previous results for the T-duality acting on supermembrane bundles. We provide the most general expression for the T-duality transformation acting at the level of the mass operator as well as on the geometrical bundle structure of the theory. By using these results we are able to establish the precise T-duality relations between the eight inequivalent classes. We find that the gauging groups -classifying the eight types of II gauged supergravity in nine dimensions- are determined by the inequivalent co...

hep-th/9805180 U-duality p-Branes in Diverse Dimensions

1998

U-duality p-branes in toroidally compactified type II superstring theories in space-time dimensions 10> D ≥ 4 can be constructed explicitly based on the conjectured U-duality symmetries and the corresponding known single-charge super p-brane configurations. As concrete examples, we first construct explicitly the SL(3,Z) superstrings and SL(3,Z) × SL(2,Z) 0-branes as well as their corresponding magnetic duals in D = 8. For the SL(3,Z) superstrings (3-branes), each of them is characterized by a triplet of integers corresponding to the electric-like (magneticlike) charges associated with the three 2-form gauge potentials present in the theory. For the SL(3,Z) × SL(2,Z) 0-branes (4-branes), each of them is labelled by a pair of triplets of integers corresponding to the electric-like (magnetic-like) charges associated with the two sets of three 1-form gauge potentials. The string (3-brane) tension and central charge are shown to be given by SL(3,Z) invariant expressions. It is argued ...

Superdualities, brane tensions and massive IIA/IIB duality

Nuclear Physics B, 1999

The gauge transformations of p-form fields in supergravity theories acquire a noncommuting character when one introduces potentials both for the theory's original field strengths and for their duals. This has previously been shown in the "doubled" formalism for maximal supergravities, where a generalised duality relation between original and dual field strengths replaces the equations of motion. In the doubled formalism, the gauge transformations generate a superalgebra, and the corresponding symmetries have accordingly been called "superdualities." The corresponding Noether charges form a representation of the cohomology ring on the spacetime manifold. In this paper, we show that the gauge symmetry superalgebra implies certain non-trivial relations among the various p-brane tensions, which can straightforwardly be read off from the superalgebra commutation relations. This provides an elegant derivation of the brane-tension relations purely within a given theory, without the need to make use of duality relations between different theories, such as the type IIA/IIB T-duality, although the results are consistent with such dualities. We present the complete set of brane-tension relations in M-theory, in the type IIA and type IIB theories, and in all the lower-dimensional maximal supergravities. We also construct a doubled formalism for massive type IIA supergravity, and this enables us to obtain the brane-tension relations involving the D8-brane, purely within the framework of the massive IIA theory. We also obtain explicit transformations for the nine-dimensional T-duality between the massive type IIA theory and the Scherk-Schwarz reduced type IIB theory.

Supergravity Duals of Matrix String Theory

Journal of High Energy Physics, 2002

We study holographic duals of type II and heterotic matrix string theories described by warped AdS 3 supergravities. By explicitly solving the linearized equations of motion around near horizon D-string geometries, we determine the spectrum of Kaluza-Klein primaries for type I, II supergravities on warped AdS 3 × S 7. The results match those coming from the dual two-dimensional gauge theories living on the D-string worldvolumes. We briefly discuss the connections with the N = (8, 8), N = (8, 0) orbifold superconformal field theories to which type IIB/heterotic matrix strings flow in the infrared. In particular, we associate the dimension (h,h) = (3 2 , 3 2) twisted operator which brings the matrix string theories out from the conformal point (R 8) N /S N with the dilaton profile in the supergravity background. The familiar dictionary between masses and "scaling" dimensions of field and operators are modified by the presence of non-trivial warp factors and running dilatons. These modifications are worked out for the general case of domain wall/QFT correspondences between supergravities on warped AdS d+1 × S q geometries and super Yang-Mills theories with 16 supercharges.