Self-interacting tensor multiplets in N = 2 superspace

Karlhede, A.; Lindström, Ulf; Roček, Martin

doi:10.1016/0370-2693(84)90120-5

Cited by 244 publications

(538 citation statements)

References 8 publications

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“…The improved N = 2 tensor multiplet 6 [21,40,7,41] occurs as a conformal compensator in one of the off-shell formulations for 4D N = 2 Poincaré supergravity which was developed in [21] using the N = 2 superconformal tensor calculus. Here we start by presenting a curved superspace realization for the improved tensor multiplet, building on the rigid projective superspace formulation for this multiplet given in [7].…”

Section: Massless and Massive Improved Tensor Multipletsmentioning

confidence: 99%

“…Here we start by presenting a curved superspace realization for the improved tensor multiplet, building on the rigid projective superspace formulation for this multiplet given in [7].…”

Section: Massless and Massive Improved Tensor Multipletsmentioning

confidence: 99%

“…It is a unique superconformal model in the family of N = 1 tensor multiplet models discovered by Siegel [39]. 7 In rigid N = 2 supersymmetry, the off-shell tensor multiplet was first introduced by Wess [42], and its projective superspace realization was given in [7].…”

Section: Massless and Massive Improved Tensor Multipletsmentioning

confidence: 99%

“…Ten years ago, it was advocated in [14] that the harmonic [10,11] and projective [7,8] superspace approaches provide complementary descriptions of rigid N = 2 supersymmetric theories. This also appears to hold at the level of N = 2 supergravity.…”

Section: Supergravity-matter Systems With Polar Compensatormentioning

confidence: 99%

“…From the purely geometrical point of view, this approach makes use of Grimm's curved superspace geometry [4], which is perfectly suitable to describe N = 2 conformal supergravity and has a simple relation to Howe's superspace formulation [5]. Kinematically, matter fields in [1] are described in terms of covariant projective supermultiplets which are curved-space versions of the superconformal projective multiplets [6] living in rigid projective superspace [7,8]. In addition to the local N = 2 superspace coordinates z M = (x m , θ µ i ,θ iμ ), where m = 0, 1, · · · , 3, µ = 1, 2,μ = 1, 2 and i = 1, 2, such a supermultiplet, Q (n) (z, u + ), depends on auxiliary isotwistor variables u + i ∈ C 2 \ {0}, with respect to which Q (n) is holomorphic and homogeneous, Q (n) (c u + ) = c n Q (n) (u + ), on an open domain of C 2 \ {0} (the integer parameter n is called the weight of Q (n) ).…”

Section: Introductionmentioning

confidence: 99%

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On supergravity and projective superspace: Dual formulations

Kuzenko

2009

Nuclear Physics B

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The superspace formulation for four-dimensional N = 2 matter-coupled supergravity recently developed in [1] makes use of a new type of conformal compensator with infinitely many off-shell degrees of freedom: the so-called covariant weight-one polar hypermultiplet. In the present note we prove the duality of this formulation to the known minimal (40 + 40) off-shell realization for N = 2 Poincaré supergravity involving the improved tensor compensator. Within the latter formulation, we present new off-shell matter couplings realized in terms of covariant weight-zero polar hypermultiplets. We also elaborate upon the projective superspace description of vector multiplets in N = 2 conformal supergravity. An alternative superspace representation for locally supersymmetric chiral actions is given. We present a model for massive improved tensor multiplet with both "electric" and "magnetic" types of mass terms.

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Section: Massless and Massive Improved Tensor Multipletsmentioning

confidence: 99%

“…Here we start by presenting a curved superspace realization for the improved tensor multiplet, building on the rigid projective superspace formulation for this multiplet given in [7].…”

Section: Massless and Massive Improved Tensor Multipletsmentioning

confidence: 99%

Section: Massless and Massive Improved Tensor Multipletsmentioning

confidence: 99%

Section: Supergravity-matter Systems With Polar Compensatormentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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On supergravity and projective superspace: Dual formulations

Kuzenko

2009

Nuclear Physics B

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Ketov

1999

Fortschr. Phys.

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Exact solutions to the low‐energy effective action (LEEA) of the four‐dimensional N = 2 supersymmetric gauge theories are known to be obtained either by quantum field theory methods from S‐duality in the Seiberg‐Witten approach, or by the Type‐IIA superstring/M‐Theory methods of brane technology. After a brief review of the standard field‐theoretical results for the N = 2 gauge (Seiberg‐Witten) LEEA, we consider a field‐theoretical derivation of the exact hypermultiplet LEEA by using the N = 2 harmonic superspace methods. We illustrate our techniques on a number of explicit examples. Our main purpose, however, is to discuss the existing analytical (calculational) support for the alternative methods of brane technology. We summarize known exact solutions to the eleven‐dimensional and ten‐dimensional type‐IIA supergravities, which describe classical configurations of intersecting BPS branes with eight supercharges relevant to the non‐perturbative N = 2 gauge theory with fundamental hypermultiplet matter. The crucial role of the M‐Theory in providing a classical resolution of singularities in the ten‐dimensional (Type‐IIA superstring) brane picture, as well as the N = 2 extended supersymmetry in four dimensions, are made manifest. The two approaches to a derivation of the exact N = 2 gauge theory LEEA are thus seen to be complementary to each other and mutually dependent.

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