A concise geometrical formulation of N = 4 supergravity containing an antisymmetric tensor gauge field is given in central charge superspace: graviphotons are identified in the super–vielbein on the same footing as the vierbein and the Rarita–Schwinger fields. As a consequence of superspace soldering, Chern–Simons terms in the fieldstrength of the antisymmetric tensor arise as an intrinsic prop...

We study the different phases of field theories of compact antisymmetric tensors of rank h − 1 in arbitrary space-time dimensions D = d + 1. Starting in a ‘Coulomb’ phase, topological defects of dimension d− h− 1 ((d− h− 1)-branes) may condense leading to a generalized ‘confinement’ phase. If the dual theory is also compact the model may also have a third, generalized ‘Higgs’ phase, driven by t...

In this paper, we numerically study a new type of infrared resonator structure, whose unit cell consists of paired split-ring resonators (SRRs). At different resonant frequencies, the magnetic dipoles induced from the two SRRs within one unit cell can be parallel or antiparallel, which are defined as symmetric and antisymmetic modes, respectively. Detailed simulation indicates that the symmetri...

where N is written in block diagonal form with 2 × 2 matrices appearing along the diagonal, and the mj are real and positive. Moreover, detU = e , where −π < θ ≤ π, is uniquely determined. N is called the real normal form of a non-singular antisymmetric matrix [1–3]. If M is a complex [or real] singular antisymmetric d× d matrix of rank 2n (where d is either even or odd and d > 2n), then there ...

For systems in the universality class of the three-dimensional Ising model we compute the critical exponents in the local potential approximation (LPA), that is, in the framework of the Wegner-Houghton equation. We are mostly interested in antisymmetric corrections to scaling, which are relatively poorly studied. We find the exponent for the leading antisymmetric correction to scaling ωA ≈ 1.69...

Starting from an exact (in the Regge slope α ′ ) functional method for a bosonic stringy σ-model, we investigate four-dimensional cosmological string solutions in graviton, dilaton and antisymmetric tensor backgrounds, compatible with world-sheet conformal invariance, and valid beyond perturbative expansions in powers of α ′ . The antisymmetric tensor field, playing the rôle of an axion in the ...

We present the description in central charge superspace of N = 4 supergravity with antisymmetric tensor coupled to an arbitrary number of abelian vector multiplets. All the gauge vectors of the coupled system are treated on the same footing as gauge fields corresponding to translations along additional bosonic coordinates. It is the geometry of the antisymmetric tensor which singles out which c...

We consider an N = 1 U(N) gauge theory with matter in the antisymmetric representation and its conjugate, with a tree level superpotential containing at least quartic interactions for these fields. We obtain the effective glueball superpotential in the classically unbroken case, and show that it has a non-trivial N -dependence which does not factorize. We also recover additional contributions s...

Using permutation group techniques, a genera1 expression is derived for the special class of U(N) Racah coefficients for which the representations [fl] and [f3] in the recoupling matrix for [fl] x [f2] x [f3]-~[f] are either both totally antisymmetric or both totally symmetric. For the totally antisymmetric case further specialization gives a simple expression for a U(N) Racah coefficient which...

We study how the solar magnetic field evolves from antisymmetric (dipolar) to symmetric (quadrupolar) state during the course of its 11-yr cycle. We show that based on equatorial symmetries of the induction equation, flux transport solar mean field dynamo models excite mostly the antisymmetric (dipolar) family whereas a decomposition of the solar magnetic field data reveals that both families s...