Couplings of self-dual tensor multiplet in six dimensions (original) (raw)

THE d = 6, (2, 0)-TENSOR MULTIPLET COUPLED TO SELF-DUAL STRINGS

International Journal of Modern Physics A, 2002

We show that the central charges that group theory allows in the (2, 0)-supersymmetry translations algebra arise from a string and a three-brane by commuting two supercharges. We show that the net force between two such parallel strings vanishes. We show that all the coupling constants are fixed numbers, due to supersymmetry, and self-duality of the three-form field strength. We obtain a charge quantization for the self-dual field strength, and show that when compactifying on a two-torus, it reduces to the usual quantization condition of N = 4 SYM with gauge group SU(2), and with coupling constant and theta angle given by the τ-parameter of the two-torus, provided that we pick that chiral theory which corresponds to a theta function with zero characteristics, as expected on manifolds of this form.

Tensor and vector multiplets in six-dimensional supergravity

Nucl.Phys. B519 (1998) 115-140, 1998

We construct the complete coupling of (1, 0) supergravity in six dimensions to n tensor multiplets, extending previous results to all orders in the fermi fields. We then add couplings to vector multiplets, as dictated by the generalized Green-Schwarz mechanism. The resulting theory embodies factorized gauge and supersymmetry anomalies, to be disposed of by fermion loops, and is determined by corresponding Wess-Zumino consistency conditions, aside from a quartic coupling for the gaugini. The supersymmetry algebra contains a corresponding extension that plays a crucial role for the consistency of the construction. We leave aside gravitational and mixed anomalies, that would only contribute to higher-derivative couplings.

The six-dimensional self-dual tensor

Physics Letters B, 1997

The equations of motion for a self-interacting self-dual tensor in six dimensions are extracted from the equations describing the M -theory five-brane. These equations are presented in a self-contained, six-dimensional Lorentz-covariant form. In particular, it is shown that the fieldstrength tensor satisfies a non-linear generalised self-duality constraint. The self-duality equation is rewritten in five-dimensional notation and shown to be identical to the corresponding equation in the non-covariant formalism.

The N= 2 vector-tensor multiplet, central charge superspace, and Chern-Simons couplings

Arxiv preprint hep-th/9706108, 1997

We present a new, alternative interpretation of the vector-tensor multiplet as a 2-form in central charge superspace. This approach provides a geometric description of the (non-trivial) central charge transformations ab initio and is naturally generalized to include couplings of Chern-Simons forms to the antisymmetric tensor gauge field, giving rise to a N = 2 supersymmetric version of the Green-Schwarz anomaly cancellation mechanism.

Matter and gauge couplings of N = 2 supergravity in six dimensions

Physics Letters B, 1984

We construct the couplings of a single anti-symmetric tensor multiplet, the non-compact HP(n-1, 1)-= Sp(n, 1)/Sp(n) × Sp(1) o-model and a Yang-Mills multiplet with the local gauge group Sp(n) × Sp(1) toN = 2 supergravity ind = 6. The theory has a positive definite potential. If only the Sp(n) group is gauged, we can use the global Sp(1) invariance to realize a super-Higgs effect ~t la Scherk and Schwarz.

Chern-Simons couplings and inequivalent vector-tensor multiplets

Nuclear Physics B, 1997

The off-shell vector-tensor multiplet is considered in an arbitrary background of N = 2 vector supermultiplets. We establish the existence of two inequivalent versions, characterized by different Chern-Simons couplings. In one version the vector field of the vector-tensor multiplet is contained quadratically in the Chern-Simons term, which implies nonlinear terms in the supersymmetry transformations and equations of motion. In the second version, which requires a background of at least two abelian vector supermultiplets, the supersymmetry transformations remain at most linear in the vector-tensor components. This version is of the type known to arise from reduction of tensor supermultiplets in six dimensions. Our work applies to any number of vector-tensor multiplets.

Extended supersymmetry and self-duality in 2 + 2 dimensions

Physics Letters B, 1992

The N= 2 supersymmetric self-dual Yang-Mills theory and the N= 4 and N= 2 self-dual supergravities in 2 + 2 space-time • dimensions are formulated for the first time. These formulations utilize solutions of the Bianchi identities subject to the super-Yang-Mills or supergravity constraints in the relevant N-extended superspace with the space-time signature (2,2). The selfduality condition on the Yang-Mills field strength or on the Riemann tensor is not modified, but is accompanied by the field equations of other superpartners. These self-dual systems are conjectured to generate supersymmetric exactly soluble models in lower dimensions.