| 1. |
- Arai, Masato, et al.
(författare)
-
Hyperkahler sigma models on cotangent bundles of Hermitian symmetric spaces using projective superspace
- 2007
-
Ingår i: Journal of High Energy Physics (JHEP). - : Springer Science and Business Media LLC. - 1126-6708 .- 1029-8479. ; :2, s. 100-
-
Tidskriftsartikel (refereegranskat)abstract
- Kahler manifolds have a natural hyperkahler structure associated with (part of) their cotangent bundles. Using projective superspace, we construct four-dimensional N=2 models on the tangent bundles of some classical Hermitian symmetric spaces (specifically, the four regular series of irreducible compact symmetric Kahler manifolds, and their non-compact versions). A further dualization yields the Kahler potential for the hyperkahler metric on the cotangent bundle.
|
|
| 2. |
- Arai, Masato, et al.
(författare)
-
Polar supermultiplets, Hermitian symmetric spaces and hyperkahler metrics
- 2007
-
Ingår i: Journal of High Energy Physics (JHEP). - : Springer Science and Business Media LLC. - 1126-6708 .- 1029-8479. ; 12, s. 008-
-
Tidskriftsartikel (refereegranskat)abstract
- We address the construction of four-dimensional N = 2 supersymmetric non-linear sigma models on tangent bundles of arbitrary Hermitian symmetric spaces startingfrom projective superspace. Using a systematic way of solving the (infinite number of) aux-iliary field equations along with the requirement of supersymmetry, we are able to derivea closed form for the Lagrangian on the tangent bundle and to dualize it to give the hy-perk ̈hler potential on the cotangent bundle. As an application, the case of the exceptional asymmetric space E6 / SO(10) × U(1) is explicitly worked out for the first time.
|
|
| 3. |
- Butter, Daniel, et al.
(författare)
-
Extended supersymmetric sigma models in AdS(4) from projective superspace
- 2012
-
Ingår i: Journal of High Energy Physics (JHEP). - 1126-6708 .- 1029-8479. ; :5, s. 138-
-
Tidskriftsartikel (refereegranskat)abstract
- There exist two superspace approaches to describe N = 2 supersymmetric nonlinear sigma-models in four-dimensional anti-de Sitter (AdS(4)) space: (i) in terms of N = 1 Ads chiral superfields, as developed in arXiv:1105.3111 and arXiv:1108.5290; and (ii) in terms of N = 2 polar supermultiplets using the AdS projective-superspace techniques developed in arXiv:0807.3368. The virtue of the approach (i) is that it makes manifest the geometric properties of the N = 2 supersymmetric sigma-models in AdS(4). The target space must be a non-compact hyperkahler manifold endowed with a Killing vector field which generates an SO(2) group of rotations on the two-sphere of complex structures. The power of the approach (ii) is that it allows us, in principle, to generate hyperkahler metrics as well as to address the problem of deformations of such metrics. Here we show how to relate the formulation (ii) to (i) by integrating out an infinite number of N = 1 AdS auxiliary superfields and performing a superfield duality transformation. We also develop a novel description of the most general N = 2 supersymmetric nonlinear sigma-model in AdS(4) in terms of chiral superfields on three-dimensional N = 2 flat superspace without central charge. This superspace naturally originates from a conformally flat realization for the four-dimensional N = 2 AdS superspace that makes use of Poincare coordinates for AdS(4). This novel formulation allows us to uncover several interesting geometric results.
|
|
| 4. |
- Kuzenko, Sergei M., et al.
(författare)
-
New extended superconformal sigma models and quaternion Kahler manifolds
- 2009
-
Ingår i: Journal of High Energy Physics (JHEP). - : Springer Science and Business Media LLC. - 1126-6708 .- 1029-8479. ; :9, s. 119-
-
Tidskriftsartikel (refereegranskat)abstract
- Quaternion Kahler manifolds are known to be the target spaces for matter hypermultiplets coupled to N = 2 supergravity. It is also known that there is a one-to-one correspondence between 4n-dimensional quaternion Kahler manifolds and those 4(n + 1)dimensional hyperkahler spaces which are the target spaces for rigid superconformal hypermultiplets (such spaces are called hyperkahler cones). In this paper we present a projective-superspace construction to generate a hyperkahler cone M-H(4(n + 1)) of dimension 4(n + 1) from a 2n-dimensional real analytic Kahler-Hodge manifold M-K(2n). The latter emerges as a maximal Kahler submanifold of the 4n-dimensional quaternion Kahler space M-Q(4n) such that its Swann bundle coincides with M-H(4)(n + 1). Our approach should be useful for the explicit construction of new quaternion Kahler metrics. The results obtained are also of interest, e. g., in the context of supergravity reduction N = 2 -> N = 1, or alternatively from the point of view of embedding N = 1 matter-coupled supergravity into an N = 2 theory.
|
|
| 5. |
- Kuzenko, Sergei M., et al.
(författare)
-
New supersymmetric sigma-model duality
- 2010
-
Ingår i: Journal of High Energy Physics (JHEP). - 1126-6708 .- 1029-8479. ; :10, s. 072-
-
Tidskriftsartikel (refereegranskat)abstract
- We study dualities in off-shell 4D N = 2 supersymmetric sigma-models, using the projective superspace approach. These include (i) duality between the real O(2n) and polar multiplets; and (ii) polar-polar duality. We demonstrate that the dual of any superconformal sigma-model is superconformal. Since N = 2 superconformal sigma-models (for which target spaces are hyperkahler cones) formulated in terms of polar multiplets are naturally associated with Kahler cones (which are target spaces for N = 1 superconformal sigma-models), polar-polar duality generates a transformation between different Kahler cones. In the non-superconformal case, we study implications of polar-polar duality for the sigma-model formulation in terms of N = 1 chiral superfields. In particular, we find the relation between the original hyperkahler potential and its dual. As an application of polar-polar duality, we study self-dual models.
|
|
| 6. |
- Kuzenko, Sergei M., et al.
(författare)
-
Off-shell superconformal nonlinear sigma-models in three dimensions
- 2011
-
Ingår i: Journal of High Energy Physics (JHEP). - 1126-6708 .- 1029-8479. ; :1, s. 146-
-
Tidskriftsartikel (refereegranskat)abstract
- We develop superspace techniques to construct general off-shell N <= 4 superconformal sigma-models in three space-time dimensions. The most general N = 3 and N = 4 superconformal sigma-models are constructed in terms of N = 2 chiral superfields. Several superspace proofs of the folklore statement that N = 3 supersymmetry implies N = 4 are presented both in the on-shell and off-shell settings. We also elaborate on (super) twistor realisations for (super) manifolds on which the three-dimensional N-extended superconformal groups act transitively and which include Minkowski space as a subspace.
|
|
| 7. |
- Kuzenko, Sergei M., et al.
(författare)
-
Off-shell supergravity-matter couplings in three dimensions
- 2011
-
Ingår i: Journal of High Energy Physics (JHEP). - 1126-6708 .- 1029-8479. ; :3, s. 120-
-
Tidskriftsartikel (refereegranskat)abstract
- We develop the superspace geometry of N-extended conformal supergravity in three space-time dimensions. General off-shell supergravity-matter couplings are constructed in the cases N <= 4.
|
|
| 8. |
- Kuzenko, Sergei M., et al.
(författare)
-
Symmetries of N = (1,0) supergravity backgrounds in six dimensions
- 2021
-
Ingår i: Journal of High Energy Physics (JHEP). - : Springer Nature. - 1126-6708 .- 1029-8479. ; :3
-
Tidskriftsartikel (refereegranskat)abstract
- General N = (1, 0) supergravity-matter systems in six dimensions may be described using one of the two fully fledged superspace formulations for conformal supergravity: (i) SU(2) superspace; and (ii) conformal superspace. With motivation to develop rigid supersymmetric field theories in curved space, this paper is devoted to the study of the geometric symmetries of supergravity backgrounds. In particular, we introduce the notion of a conformal Killing spinor superfield E-alpha, which proves to generate extended superconformal transformations. Among its cousins are the conformal Killing vector xi (a) and tensor zeta (a(n)) superfields. The former parametrise conformal isometries of supergravity backgrounds, which in turn yield symmetries of every superconformal field theory. Meanwhile, the conformal Killing tensors of a given background are associated with higher symmetries of the hypermultiplet. By studying the higher symmetries of a non-conformal vector multiplet we introduce the concept of a Killing tensor superfield. We also analyse the problem of computing higher symmetries for the conformal d'Alembertian in curved space and demonstrate that, beyond the first-order case, these operators are defined only on a limited class of backgrounds, including all conformally flat ones.
|
|
| 9. |
- Kuzenko, Sergei M., et al.
(författare)
-
Three-dimensional N=2 (AdS) supergravity and associated supercurrents
- 2011
-
Ingår i: Journal of High Energy Physics (JHEP). - 1126-6708 .- 1029-8479. ; :12, s. 52-
-
Tidskriftsartikel (refereegranskat)abstract
- Long ago, Achucarro and Townsend discovered that in three dimensions (3D) N-extended anti-de Sitter (AdS) supergravity exists in several incarnations, which were called the (p, q) AdS supergravity theories with non-negative integers p >= q such that N = p + q. Using the superspace approach to 3D N-extended supergravity developed in arXiv:1101.4013, we present three superfield formulations for N = 2 supergravity that allow for well defined cosmological terms and supersymmetric AdS solutions. The conformal compensators corresponding to these theories are respectively: (i) a chiral scalar multiplet; (ii) a vector multiplet; and (iii) an improved complex linear multiplet. The theories corresponding to (i) and (iii) are shown to provide two dually equivalent realizations of the (1,1) AdS supergravity, while (ii) describes the (2,0) AdS supergravity. We associate with each supergravity formulation, with and without a cosmological term, a consistent supercurrent multiplet. The supercurrents in the (1,1) and (2,0) AdS backgrounds are derived for the first time. We elaborate on rigid supersymmetric theories in (1,1) and (2,0) AdS superspaces.
|
|
| 10. |
- Kuzenko, Sergei M., et al.
(författare)
-
Three-dimensional N=2 supergravity theories : From superspace to components
- 2014
-
Ingår i: Physical Review D. - 1550-7998 .- 1550-2368. ; 89:8, s. 085028-
-
Tidskriftsartikel (refereegranskat)abstract
- For general off-shell N = 2 supergravity-matter systems in three spacetime dimensions, a formalism is developed to reduce the corresponding actions from superspace to components. The component actions are explicitly computed in the cases of type I and type II minimal supergravity formulations. We describe the models for topologically massive supergravity which correspond to all the known off-shell formulations for three-dimensional N = 2 supergravity. We also present a universal setting to construct supersymmetric backgrounds associated with these off-shell supergravities.
|
|
| 11. |
- Kuzenko, Sergei M., et al.
(författare)
-
Three-dimensional (p, q) AdS superspaces and matter couplings
- 2012
-
Ingår i: Journal of High Energy Physics (JHEP). - 1126-6708 .- 1029-8479. ; :8, s. 024-
-
Tidskriftsartikel (refereegranskat)abstract
- We introduce N-extended (p, q) AdS superspaces in three space-time dimensions, with p + q = N and p >= q, and analyse their geometry. We show that all (p, q) AdS superspaces with X-IJKL = 0 are conformally flat. Nonlinear sigma-models with (p, q) AdS supersymmetry exist for p + q <= 4 (for N > 4 the target space geometries are highly restricted). Here we concentrate on studying off-shell N = 3 supersymmetric sigma-models in AdS 3. For each of the cases (3,0) and (2,1), we give three different realisations of the supersymmetric action. We show that (3,0) AdS supersymmetry requires the sigma-model to be superconformal, and hence the corresponding target space is a hyperkahler cone. In the case of (2,1) AdS supersymmetry, the sigma-model target space must be a non-compact hyperkahler manifold endowed with a Killing vector field which generates an SO(2) group of rotations of the two-sphere of complex structures.
|
|
