Maxwell Multiplet Research Articles

One-loop free energy of tensionless type IIB string in AdS5\xd7S5

Considering the zero ’t Hooft coupling limit of mathcal{N}=4 super-Yang-Mills theory, the exact spectrum of all single-trace operators can be accessed in terms of the underlying so(2, 4) character. This makes it possible in turn to compute the one-loop free energy of the tensionless type IIB string theory in AdS5×S5 background, with help of the recently developed method of character integral representation of zeta function (CIRZ). We calcu-late first the one-loop free energy of the string states in the (p − 1)-th Regge trajectory and find the result to be p times the free energy of a single mathcal{N}=4 Maxwell multiplet. The full one-loop free energy is hence proportional to the divergent series {displaystyle {sum}_{p=2}^{{}_{infty }}p} . The divergence arises as a result of interrupting the regularization procedure in an intermediate stage. With a reorganization of states, we extract the finite part of free energy after summing over the Regge trajectories. This way gives us a finite result which is minus of the free energy of the mathcal{N}=4 multiplet. Hence, this bulk one-loop result matches the −1 term in the N2− 1 factor of the boundary result.

Higher spins in AdS5 at one loop: vacuum energy, boundary conformal anomalies and AdS/CFT

We consider general-symmetry higher spin fields in AdS_5 and derive expressions for their one-loop corrections to vacuum energy E and the associated 4d boundary conformal anomaly a-coefficient. We a propose a similar expression for the second conformal anomaly c-coefficient. We show that all the three quantities (E, a, c) computed for N=8 gauged 5d supergravity are -1/2 of the values for N=4 conformal 4d supergravity and also twice the values for N=4 Maxwell multiplet. This gives 5d derivation of the fact that the system of N=4 conformal supergravity and four N=4 Maxwell multiplets is anomaly free. The values of (E, a, c) for the states at level p of Kaluza-Klein tower of 10d type IIB supergravity compactified on S^5 turn out to be equal to those for p copies of N=4 Maxwell multiplets. This may be related to the fact that these states appear in the tensor product of p superdoubletons. Under a natural regularization of the sum over p, the full 10d supergravity contribution is then minus that of the Maxwell multiplet, in agreement with the standard adjoint AdS/CFT duality (SU(n) SYM contribution is n^2-1 of one Maxwell multiplet). We also verify the matching of (E, a, c) for spin 0 and 1/2 boundary theory cases of vectorial AdS/CFT duality. The consistency conditions for vectorial AdS/CFT turn out to be equivalent to the cancellation of anomalies in the closely related 4d conformal higher spin theories. In addition, we study novel example of vectorial AdS/CFT duality when the boundary theory is described by free spin 1 fields and is dual to a particular higher spin theory in AdS_5 containing fields in mixed-symmetry representations. We also discuss its supersymmetric generalizations.

Dirac-Born-Infeld-Volkov-Akulov and deformation of supersymmetry

We deform the action and the supersymmetry transformations of the d = 10 and d = 4 Maxwell supermultiplets so that at each order of the deformation the theory has 16 Maxwell multiplet deformed supersymmetries as well as 16 Volkov-Akulov type non-linear supersymmetries. The result agrees with the expansion in the string tension of the explicit action of the Dirac-Born-Infeld model and its supersymmetries, extracted from D9 and D3 superbranes, respectively. The half-maximal Dirac-Born-Infeld models with 8 Maxwell supermultiplet deformed supersymmetries and 8 Volkov-Akulov type supersymmetries are described by a new class of d = 6 vector branes related to chiral (2,0) supergravity, which we denote as ‘Vp-branes’. We use a space-filling V5 superbrane for the d = 6 model and a V3 superbrane for the d = 4 half-maximal Dirac-Born-Infeld (DBI) models. In this way we present a completion to all orders of the deformation of the Maxwell supermultiplets with maximal 16+16 supersymmetries in d = 10 and 4, and half-maximal 8+8 supersymmetries in d = 6 and 4.

Superfield representations of superconformal groups

Representations of four-dimensional superconformal groups are constructed as fields on many different superspaces, including super Minkowski space, chiral superspace, harmonic superspace and analytic superspace. Any unitary irreducible representation can be given as a field on any one of these spaces if we include fields which transform under supergroups. In particular, on analytic superspaces, the fields are unconstrained. One can obtain all representations of the N = 4 complex superconformal group PSL(4|4) with integer dilation weight from copies of the Maxwell multiplet on (4, 2, 2) analytic superspace. This construction is compared with the oscillator construction and it is shown that there is a natural correspondence between the oscillator construction of superconformal representations and those carried by superfields on analytic superspace.

Effective action of the N = 2 Maxwell multiplet in harmonic superspace

We present, in the N=2, D=4 harmonic superspace formalism, a general method for constructing the off-shell effective action of an N=2 abelian gauge superfield coupled to matter hypermultiplets. Using manifestly N=2 supersymmetric harmonic supergraph techniques, we calculate the low-energy corrections to the renormalized one-loop effective action in terms of N=2 (anti)chiral superfield strengths. For a harmonic gauge prepotential with vanishing vacuum expectation value, corresponding to massless hypermultiplets, the only non-trivial radiative corrections to appear are non-holomorphic. For a prepotential with non-zero vacuum value, which breaks the U(1)-factor in the N=2 supersymmetry automorphism group and corresponds to massive hypermultiplets, only non-trivial holomorphic corrections arise at leading order. These holomorphic contribution are consistent with Seiberg's quantum correction to the effective action, while the first non-holomorphic contribution in the massless case is the N=2 supersymmetrization of the Heisenberg-Euler effective Lagrangian.

New Goldstone multiplet for partially broken supersymmetry

The partial spontaneous breaking of rigid N=2 supersymmetry implies the existence of a massless N=1 Goldstone multiplet. In this paper we show that the spin-(1/2,1) Maxwell multiplet can play this role. We construct its full nonlinear transformation law and find the invariant Goldstone action. The spin-1 piece of the action turns out to be of Born-Infeld type, and the full superfield action is duality invariant. This leads us to conclude that the Goldstone multiplet can be associated with a D-brane solution of superstring theory for p=3. In addition, we find that N=1 chirality is preserved in the presence of the Goldstone-Maxwell multiplet. This allows us to couple it to N=1 chiral and gauge field multiplets. We find that arbitrary Kahler and superpotentials are consistent with partially broken N=2 supersymmetry.

The self-dual type IIB superthreebrane

We find exact multi-threebrane soliton solutions of D=10 type IIB supergravity which break half the supersymmetries, and saturate a Bogomol'nyi bound between the mass per unit volume and a conserved Noether charge. Since the type IIB five-index field strength is self-dual, however, the “electric” Noether charge and the “magnetic” topological charge are equal and we comment on the Dirac quantization rule for such threebrane “dyons”. This self-dual threebrane represents a new point ( d=4, D=10) on the brane-scan of supersymmetric extended objects. The gauge-fixed action on the worldvolume, corresponding to the zero modes of the soliton, is described by a four-dimensional Maxwell multiplet with N=4 non-linearly realized supersymmetries.

Spontaneous supersymmetry breaking in non-minimal N=2 Maxwell multiplets self-couplings

We consider possibilities of spontaneous supersymmetry breaking for N = 2 Maxwell multiplets non-minimal self-couplings by means of N = 2 Fayet- Iliopoulos (FI) mechanism. The N = 2 FI parameter is an isovector, so one can use models with several non-collinear parameters. The supersymmetry breaking is shown to be impossible for the general non-minimal self-couplings of a single Maxwell multiplet. We give simple examples of spontaneous breakdown for models with two multiplets in the presence of one and two (orthogonal) FI terms.

Action for the Maxwell–Einstein multiplet from nine-dimensional superspace

The starting point is the Einstein–Hilbert action in nine-dimensional superspace. A special Dirac spinor with only half the degrees of freedom is defined in five-dimensional spacetime. The massless Kaluza–Klein ansatz is used in the dimensional reduction. After this reduction to four dimensions, the action contains a (minimal) supergravity multiplet, a Maxwell multiplet, and a scalar, which corresponds to the oscillation around the extra dimension. The locally supersymmetric (off-mass shell) Maxwell-Einstein action is obtained as a special case of the vanishing oscillation around the extra dimension.

SU(2/2) AND FIVE DIMENSIONAL SUPERGRAVITIES

We apply SU(2/2) superalgebra to five dimensional supergravity. Pure supergravity multiplets, Maxwell multiplets and hypermultiplets are identified with either typical or atypical representations of SU(2/2). All possible representations describing supermultiplets are presented.