Five-dimensional gauged supergravities with universal hypermultiplet and warped brane worlds (original) (raw)

A supersymmetric solution in N=2 gauged supergravity with the universal hypermultiplet

Physics Letters B, 2001

We present supersymmetric solutions for the theory of gauged supergravity in five dimensions obtained by gauging the shift symmetry of the axion of the universal hypermultiplet. This gauged theory can also be obtained by dimensionally reducing M-theory on a Calabi-Yau threefold with background flux. The solution found preserves half of the N = 2 supersymmetry, carries electric fields and has nontrivial scalar field representing the CY-volume. We comment on the possible solutions of more general hypermultiplet gauging. *

Five-Dimensional 2-Branes and the Universal Hypermultiplet

Nuclear Physics B, 2009

We present a discussion of black 2-branes coupled to the fields of the universal hypermultiplet of ungauged N=2 supergravity theory in five dimensions. Using a general ansatz dependent on a spherically symmetric harmonic function, we show that there are exactly two such solutions, both of which can be thought of as arising from the dimensional reduction of either M2- or M5-branes over special Lagrangian cycles of a Calabi-Yau 3-fold, confirming previous results. By relaxing some of the constraints on the ansatz, we proceed to find a more general solution carrying both M-brane charges and discuss its properties, as well as its relationship to Euclidean instantons.

Four-dimensional supergravities from five-dimensional brane worlds

Nuclear Physics B, 2001

We give the explicit form of the four-dimensional effective supergravity action, which describes low-energy physics of the Randall-Sundrum model with moduli fields in the bulk and charged chiral matter living on the branes. The relation between 5d and 4d physics is explicit: the low-energy action is derived from the compactification of a locally supersymmetric model in five dimensions. The presence of odd Z 2 parity scalars in the bulk gives rise to effective potential for the radion in four dimensions. We describe the mechanism of supersymmetry breaking mediation, which relies on non-trivial configuration of these Z 2 -odd bulk fields. Broken supersymmetry leads to stabilization of the interbrane distance.

Five-dimensional superfield supergravity

Physics Letters B, 2008

We present a projective superspace formulation for matter-coupled simple supergravity in five dimensions. Our starting point is the superspace realization for the minimal supergravity multiplet proposed by Howe in 1981. We introduce various off-shell supermultiplets (i.e. hypermultiplets, tensor and vector multiplets) that describe matter fields coupled to supergravity. A projective-invariant action principle is given, and specific dynamical systems are constructed including supersymmetric nonlinear sigma-models. We believe that this approach can be extended to other supergravity theories with eight supercharges in D ≤ 6 space-time dimensions, including the important case of 4D N = 2 supergravity.

Alternative N=2 supergravity in five dimensions with singularities

Physics Letters B, 2001

We present an alternative N = 2 supergravity multiplet coupled to n copies of vector multiplets and n copies of hypermultiplets in five dimensions. Our supergravity multiplet contains a single antisymmetric tensor and a dilaton, which are natural Neveu-Schwarz massless fields in superstring theory. The absence of the explicit Chern-Simons terms in our lagrangian deletes the non-trivial constraints on the couplings of vector multiplets in the conventional formulation. The scalars in the vector multiplets form the σ-model for the coset SO(n, 1)/SO(n), like those in the vector multiplets coupled to N = 1 supergravity in nine dimensions, while the scalars in the hypermultiplets form that for the quaternionic Kähler manifold Sp(n , 1)/Sp(n) × Sp(1). We also perform the gauging of the SO(2) subgroup of the Sp(1) = SL(2, IR) automorphism group of N = 2 supersymmetry. Our result is also generalized to singular 5D space-time as in the conventional formulation, as a preliminary for supersymmetric Randall-Sundrum brane world scenario.

General matter coupled gauged supergravity in five dimensions

Nuclear Physics B, 2001

We construct the general form of matter coupled N = 4 gauged supergravity in five dimensions. Depending on the structure of the gauge group, these theories are found to involve vector and/or tensor multiplets. When self-dual tensor fields are present, they must be charged under a one-dimensional Abelian group and cannot transform nontrivially under any other part of the gauge group. A short analysis of the possible ground states of the different types of theories is given. It is found that AdS ground states are only possible when the gauge group is a direct product of a one-dimensional Abelian group and a semi-simple group. In the purely Abelian, as well as in the purely semisimple gauging, at most Minkowski ground states are possible. The existence of such Minkowski ground states could be proven in the compact Abelian case.

Alternative N=2 supergravity in singular five dimensions with matter/gauge couplings

Nuclear Physics B, 2001

We present an extended study of our previous work on an alternative fivedimensional N = 2 supergravity theory that has a single antisymmetric tensor and a dilaton as a part of supergravity multiplet. The new fields are natural Neveu-Schwarz massless fields in superstring theory. Our total matter multiplets include n copies of vector multiplets forming the sigma-model coset space SO(n, 1)/SO(n), and n ′ copies of hypermultiplets forming the quaternionic Kähler manifold Sp(n ′ , 1)/Sp(n ′) × Sp(1). We complete the couplings of matter multiplets to supergravity with the gauged group of the type SO(2) × Sp(n ′) × Sp(1) × H × [ U(1) ] n−p+1 for an arbitrary gauge group H with p ≡ dim H + 1, and the isotropy group Sp(n ′) × Sp(1) of the coset Sp(n ′ , 1)/Sp(n ′) × Sp(1) formed by the hypermultiplets. We also describe the generalization to singular 5D space-time as in the conventional formulation

A five-brane modulus in the effective N=1 supergravity of M-theory

Nuclear Physics B, 2001

Five-branes lead in four dimensions to massless N = 1 supermultiplets if M-theory is compactified on S 1 /Z 2 × (a Calabi-Yau threefold). One of them describes the modulus associated with the position of the five-brane along the circle S 1 . We derive the effective four-dimensional supergravity of this multiplet and its coupling to bulk moduli and to Yang-Mills and charged matter multiplets located on Z 2 fixed planes. The dynamics of the five-brane modes is obtained by reduction and supersymmetrization of the covariant five-brane bosonic action. Our construction respects all symmetries of M-theory, including the self-duality of the brane antisymmetric tensor. Corrections to gauge couplings are strongly constrained by this selfduality property. The brane contribution to the effective scalar potential is formally similar to a renormalization of the dilaton. The vacuum structure is not modified. Altogether, the impact of the five-brane modulus on the effective supergravity is reminiscent of string one-loop corrections produced by standard compactification moduli.

Supersymmetrizing branes with bulk in five-dimensional supergravity

Physics Letters B, 2000

We supersymmetrize a class of moduli dependent potentials living on branes with the help of additional bulk terms in 5d N = 2 supergravity. The space of Poincare invariant vacuum solutions includes the Randall-Sundrum solution and the M-theoretical solution. After adding gauge sectors to the branes we discuss breakdown of low energy supersymmetry in this setup and hierarchy of physical scales. In the limit of large warp factors we find decoupling between effects stemming from different branes in the compactified theory.

Supergravity duals of gauge field theories from SU(2) x U(1) gauged supergravity in five dimensions

J High Energy Phys, 2001

We study the SO(4)-symmetric solution of the five-dimensional SU(2)×U(1) gauged N = 4 supergravity theory obtained in [hep-th/0101202]. This solution contains purely magnetic non-Abelian and electric Abelian fields. It can be interpreted as a reduction of seven-dimensional gauged supergravity on a torus, which comes from type IIB supergravity on S 3 . We also show how to obtain that solution from sixdimensional Romans' theory on a circle. We then up-lift the solution to massless type IIA supergravity. The dual gauge field theory is twisted and is defined on the worldvolume of a NS-fivebrane wrapped on S 3 . Two other spatial directions of the NS-fivebrane are on a torus. In the IR limit it corresponds to a three-dimensional gauge field theory with two supercharges.