The Vector-Tensor Supermultiplet with Gauged Central Charge

The vector-tensor multiplet is coupled off-shell to an N=2 vector multiplet such that its central charge transformations are realized locally. A gauged central charge is a necessary prerequisite for a coupling to supergravity and the strategy underlying our construction uses the potential for such a coupling as a guiding principle. The results for the action and transformation rules take a nonlinear form and necessarily include a Chern-Simons term. After a duality transformation the action is encoded in a homogeneous holomorphic function consistent with special geometry.Comment: 8 pages, LATE

Generalized gaugings and the field-antifield formalism

We discuss the algebra of general gauge theories that are described by the embedding tensor formalism. We compare the gauge transformations dependent and independent of an invariant action, and argue that the generic transformations lead to an infinitely reducible algebra. We connect the embedding tensor formalism to the field-antifield (or Batalin-Vilkovisky) formalism, which is the most general formulation known for general gauge theories and their quantization. The structure equations of the embedding tensor formalism are included in the master equation of the field-antifield formalism.Comment: 42 pages; v2: some clarifications and 1 reference added; version to be published in JHE

New dance development at Dartington College of Arts UK 1971 - 1987

An explorative examination of the phenomenon of New Dance is undertaken through a case study of events at Dartington College of Arts over the period 1971-1987. This socio-historical study, informed by the firsthand accounts of a group of practitioners (artists/teachers), highlights the New Dance development in an educational context. Moving from the broad to the specific, the chapters present contextualised evidence from multiple sources in chronological order. Each chapter substantiates the claim that Dartington was an original and important source of New Dance development in the UK throughout the period of its development (1970s-1980s). Firstly, a broadly sketched contextual frame links the New Dance development to features from other realms and the movement of the New in dance to its own tradition. Then the historical background to Dartington illuminates how the College became a key educational forerunner in the complex of UK dance culture during the 1970s. Documentary and oral sources serve to illustrate the unique position of Dartington and its dance programme at the time. Phase One of the New Dance development (1971-1978) sees new approaches to dance, movement and the body incorporated in the structure and curriculum of the 'Theatre Language' BA (Hans) course and accredited as a main subject of study by the CNAA in 1977. With the UK dance domain and cultural conventions as context, different features and aspects of the New Dance development are revealed. The New Dance era is established as a turbulent period of change, challenge and innovation. These contexts implicitly demonstrate Dartington's special place and pioneering role as an institute of higher education in the overall development and formation of the New Dance movement and community. Dartington's function in the articulation, expansion and dissemination of practice and ideas becomes even more pronounced during Phase Two of the continued New Dance development (1978-1987). This is exemplified by a decade of annual dance festivals hosted by the College and attended by hundreds of dancers from the UK and abroad. A gradual transition out of this optimum time can be detected both at the festivals and the Theatre Department from 1985 onwards. By the late 1980s a notably changed cultural climate signals the end of an erä and allows the assessment of this creative period of development in dance, both in and outside of Dartington. The detailed insight provided by the case study helps to unravel the multi-layered nature of the New Dance phenomenon. This includes the identification of a dynamic network of relationships, people, organisations and events as elements in a movement of change, which contributed to the broadening base of dance. As exemplified by the case study, the structural developments in arts education played a major part in this expansion and this is where Dartington College of Arts made its key contribution

T-duality and Actions for Non-BPS D-branes

We employ T-duality to restrict the tachyon dependence of effective actions for non-BPS D-branes. For the Born-Infeld part the criteria of T-duality and supersymmetry are satisfied by a simple extension of the D-brane Born-Infeld action.Comment: Latex, 11 page

More on the scalar-tensor B-F theory

This work is based on an earlier proposal \cite{hs} that the membrane B-F theory consists of matter fields alongwith Chern-Simons fields as well as the auxiliary pairs of scalar and tensor fields. We especially discuss the supersymmetry aspects of such a membrane theory. It is concluded that the theory possesses maximal supersymmetry and it is related to the L-BLG theory via a field map. We obtain fuzzy-sphere solution and corresponding tensor field configuration is given.Comment: 19 pages; v2 typo corrected and more reference

Nonholomorphic Corrections to the One-Loop N=2 Super Yang-Mills Action

In addition to the familiar contribution from a holomorphic function \FF, the K\"ahler potential of the scalars in the nonabelian $N=2$ vector multiplet receives contributions from a real function \HH. We determine the latter at the one-loop level, taking into account both supersymmetric matter and gauge loops. The function \HH characterizes the four-point coupling of the $N=2$ vector-multiplet vectors for constant values of their scalar superpartners. We discuss the consequences of our results.Comment: 11 pages, Latex, one Postscript figure. Corrections to equation (24): 1 missing term added and one pair of indices interchange

The Gauging of Five-dimensional, N=2 Maxwell-Einstein Supergravity Theories coupled to Tensor Multiplets

We study the general gaugings of N=2 Maxwell-Einstein supergravity theories (MESGT) in five dimensions, extending and generalizing previous work. The global symmetries of these theories are of the form SU(2)_R X G, where SU(2)_R is the R-symmetry group of the N=2 Poincare superalgebra and G is the group of isometries of the scalar manifold that extend to symmetries of the full action. We first gauge a subgroup K of G by turning some of the vector fields into gauge fields of K while dualizing the remaining vector fields into tensor fields transforming in a non-trivial representation of K. Surprisingly, we find that the presence of tensor fields transforming non-trivially under the Yang-Mills gauge group leads to the introduction of a potential which does not admit an AdS ground state. Next we give the simultaneous gauging of the U(1)_R subgroup of SU(2)_R and a subgroup K of G in the presence of K-charged tensor multiplets. The potential introduced by the simultaneous gauging is the sum of the potentials introduced by gauging K and U(1)_R separately. We present a list of possible gauge groups K and the corresponding representations of tensor fields. For the exceptional supergravity we find that one can gauge the SO^*(6) subgroup of the isometry group E_{6(-26)} of the scalar manifold if one dualizes 12 of the vector fields to tensor fields just as in the gauged N=8 supergravity.Comment: Latex file, 23 page

Geometry of The Embedding of Supergravity Scalar Manifolds in D=11 and D=10

Several recent papers have made considerable progress in proving the existence of remarkable consistent Kaluza-Klein sphere reductions of D=10 and D=11 supergravities, to give gauged supergravities in lower dimensions. A proof of the consistency of the full gauged SO(8) reduction on S^7 from D=11 was given many years ago, but from a practical viewpoint a reduction to a smaller subset of the fields can be more manageable, for the purposes of lifting lower-dimensional solutions back to the higher dimension. The major complexity of the spherical reduction Ansatze comes from the spin-0 fields, and of these, it is the pseudoscalars that are the most difficult to handle. In this paper we address this problem in two cases. One arises in a truncation of SO(8) gauged supergravity in four dimensions to U(1)^4, where there are three pairs of dilatons and axions in the scalar sector. The other example involves the truncation of SO(6) gauged supergravity in D=5 to a subsector containing a scalar and a pseudoscalar field, with a potential that admits a second supersymmetric vacuum aside from the maximally-supersymmetric one. We briefly discuss the use of these emdedding Ansatze for the lifting of solutions back to the higher dimension.Comment: Latex, 24 pages, typos correcte

The hamiltonian study of supersymmetric Yang-Mills quantum mechanics

The hamiltonian formulation of Supersymmetric Yang-Mills quantum mechanics (SYMQM) is discussed. We focus on the Fock space formulation of the models since it is convenient for the numerical analysis, however some novel analytical results are also pointed out.Comment: 3 page

Off-shell N=2 tensor supermultiplets

A multiplet calculus is presented for an arbitrary number n of N=2 tensor supermultiplets. For rigid supersymmetry the known couplings are reproduced. In the superconformal case the target spaces parametrized by the scalar fields are cones over (3n-1)-dimensional spaces encoded in homogeneous SU(2) invariant potentials, subject to certain constraints. The coupling to conformal supergravity enables the derivation of a large class of supergravity Lagrangians with vector and tensor multiplets and hypermultiplets. Dualizing the tensor fields into scalars leads to hypermultiplets with hyperkahler or quaternion-Kahler target spaces with at least n abelian isometries. It is demonstrated how to use the calculus for the construction of Lagrangians containing higher-derivative couplings of tensor multiplets. For the application of the c-map between vector and tensor supermultiplets to Lagrangians with higher-order derivatives, an off-shell version of this map is proposed. Various other implications of the results are discussed. As an example an elegant derivation of the classification of 4-dimensional quaternion-Kahler manifolds with two commuting isometries is given.Comment: 36 page