| 1. |
- Göteman, Malin, et al.
(författare)
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Semichiral Sigma Models with 4D Hyperkähler Geometry
- 2013
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Ingår i: Journal of High Energy Physics (JHEP). - 1126-6708 .- 1029-8479. ; :1, s. 073-
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Tidskriftsartikel (refereegranskat)abstract
- Semichiral sigma models with a four-dimensional target space do not support, extended N = (4, 4) supersymmetries off-shell [1, 2]. We contribute towards the understanding of the non-manifest on-shell transformations in (2,2) superspace by analyzing the extended on-shell supersymmetry of such models and find that a rather general ansatz for the additional supersymmetry (not involving central charge transformations) leads to hyperkahler geometry. We give non-trivial examples of these models.
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| 2. |
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| 3. |
- Hull, Chris, et al.
(författare)
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Generalized Kahler geometry in (2,1) superspace
- 2012
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Ingår i: Journal of High Energy Physics (JHEP). - 1126-6708 .- 1029-8479. ; :6, s. 13-
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Tidskriftsartikel (refereegranskat)abstract
- Two-dimensional (2, 2) supersymmetric nonlinear sigma models can be described in (2,2), (2, 1) or (1, 1) superspaces. Each description emphasizes different aspects of generalized Kahler geometry. We investigate the reduction from (2,2) to (2, 1) superspace. This has some interesting nontrivial features arising from the elimination of nondynamical fields. We compare quantization in the different superspace formulations.
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| 4. |
- Hull, Chris M., et al.
(författare)
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Generalized Calabi-Yau metric and generalized Monge-Ampere equation
- 2010
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Ingår i: Journal of High Energy Physics (JHEP). - 1126-6708 .- 1029-8479. ; :8, s. 060-
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Tidskriftsartikel (refereegranskat)abstract
- In the neighborhood of a regular point, generalized Kahler geometry admits a description in terms of a single real function, the generalized Kahler potential. We study the local conditions for a generalized Kahler manifold to be a generalized Calabi-Yau manifold and we derive a non-linear PDE that the generalized Kahler potential has to satisfy for this to be true. This non-linear PDE can be understood as a generalization of the complex Monge-Ampere equation and its solutions give supergravity solutions with metric, dilaton and H-field.
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| 5. |
- Hull, Chris M., et al.
(författare)
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Generalized Kahler geometry and gerbes
- 2009
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Ingår i: Journal of High Energy Physics (JHEP). - : Springer Science and Business Media LLC. - 1126-6708 .- 1029-8479. ; :10, s. 062-
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Tidskriftsartikel (refereegranskat)abstract
- We introduce and study the notion of a biholomorphic gerbe with connection. The biholomorphic gerbe provides a natural geometrical framework for generalized Kahler geometry in a manner analogous to the way a holomorphic line bundle is related to Kahler geometry. The relation between the gerbe and the generalized Kahler potential is discussed.
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| 6. |
- Kuzenko, Sergei M., et al.
(författare)
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Three-dimensional N=2 supergravity theories : From superspace to components
- 2014
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Ingår i: Physical Review D. - 1550-7998 .- 1550-2368. ; 89:8, s. 085028-
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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.
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| 7. |
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| 8. |
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| 9. |
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| 10. |
- Lindström, Ulf, et al.
(författare)
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A potential for Generalized Kähler Geometry
- 2007
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Ingår i: IRMA Lect. Math. Theor. Phys. 16. - Zuerich, Switzerland : European Mathematical Society Publishing House.
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Tidskriftsartikel (refereegranskat)abstract
- We show that, locally, all geometric objects of Generalized Kahler Geometry can be derived from a function K, the 'generalized Kahler potential''. The metric g and two-form B are determined as nonlinear functions of second derivatives of K. These nonlinearities are shown to arise via a quotient construction from an auxiliary local product (ALP) space.
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| 11. |
- Lindström, Ulf, et al.
(författare)
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Generalized Kahler geometry and manifest N=(2,2) supersymmetric nonlinear sigma-models
- 2005
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Ingår i: Journal of High Energy Physics. ; 0507, s. 067-
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Tidskriftsartikel (refereegranskat)abstract
- Generalized complex geometry is a new mathematical framework that is useful for describing the target space of N=(2,2) nonlinear sigma-models. The most direct relation is obtained at the N=(1,1) level when the sigma model is formulated with an additional auxiliary spinorial field. We revive a formulation in terms of N=(2,2) semi-(anti)chiral multiplets where such auxiliary fields are naturally present. The underlying generalized complex structures are shown to commute (unlike the corresponding ordinary complex structures) and describe a Generalized Kahler geometry. The metric, B-field and generalized complex structures are all determined in terms of a potential K.
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| 12. |
- Lindström, Ulf, et al.
(författare)
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Generalized Kähler manifolds and off-shell supersymmetry
- 2007
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Ingår i: Communications in Mathematical Physics. - : Springer Science and Business Media LLC. - 0010-3616 .- 1432-0916. ; 269:3, s. 833-849
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Tidskriftsartikel (refereegranskat)abstract
- We solve the long standing problem of finding an off-shell supersymmetric formulation for a general N = (2, 2) nonlinear two dimensional sigma model. Geometrically the problem is equivalent to proving the existence of special coordinates; these correspond to particular superfields that allow for a superspace description. We construct and explain the geometric significance of the generalized Kähler potential for any generalized Kähler manifold; this potential is the superspace Lagrangian.
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| 13. |
- Lindström, Ulf, et al.
(författare)
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Linearizing Generalized Kahler Geometry
- 2007
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Ingår i: Journal of High Energy Physics (JHEP). - : Springer Science and Business Media LLC. - 1126-6708 .- 1029-8479. ; :4, s. 061-
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Tidskriftsartikel (refereegranskat)abstract
- The geometry of the target space of an N = (2, 2) supersymmetry sigma-model carries a generalized Kähler structure. There always exists a real function, the generalized Kähler potential K, that encodes all the relevant local differential geometry data: the metric, the B-field, etc. Generically this data is given by nonlinear functions of the second derivatives of K. We show that, at least locally, the nonlinearity on any generalized Kähler manifold can be explained as arising from a quotient of a space without this nonlinearity.
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| 14. |
- Lindström, Ulf, et al.
(författare)
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New N = (2, 2) vector multiplets
- 2007
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Ingår i: Journal of High Energy Physics (JHEP). - : Springer Science and Business Media LLC. - 1126-6708 .- 1029-8479. ; :8, s. 008-
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Tidskriftsartikel (refereegranskat)abstract
- We introduce two new N = (2, 2) vector multiplets that couple naturally to generalized Kähler geometries. We describe their kinetic actions as well as their matter couplings both in N = (2, 2) and N = (1, 1) superspace.
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| 15. |
- Lindström, Ulf, et al.
(författare)
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Nonabelian generalized gauge multiplets
- 2009
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Ingår i: Journal of High Energy Physics (JHEP). - 1126-6708 .- 1029-8479. ; :2, s. 020-
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Tidskriftsartikel (refereegranskat)abstract
- We give the nonabelian extension of the newly discovered N = (2, 2) two-dimensional vector multiplets. These can be used to gauge symmetries of sigma models on generalized Kahler geometries. Starting from the transformation rule for the nonabelian case we find covariant derivatives and gauge covariant field-strengths and write their actions in N = (2, 2) and N = ( 1, 1) superspace.
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| 16. |
- Lindström, Ulf, et al.
(författare)
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Properties of Hyperkahler Manifolds and Their Twistor Spaces
- 2010
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Ingår i: Communications in Mathematical Physics. - : Springer Science and Business Media LLC. - 0010-3616 .- 1432-0916. ; 293:1, s. 257-278
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Tidskriftsartikel (refereegranskat)abstract
- We describe the relation between supersymmetric sigma-models on hyperkahler manifolds, projective superspace, and twistor space. We review the essential aspects and present a coherent picture with a number of new results.
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| 17. |
- Lindström, Ulf, et al.
(författare)
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Ricci-flat supertwistor spaces
- 2006
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Ingår i: Journal of High Energy Physics. ; 0601:163
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Tidskriftsartikel (refereegranskat)abstract
- We show that supertwistor spaces constructed as a Kahler quotient of a hyperkahler cone (HKC) with equal numbers of bosonic and fermionic coordinates are Ricci-flat, and hence, Calabi-Yau. We study deformations of the supertwistor space induced from deformations of the HKC. We also discuss general infinitesimal deformations that preserve Ricci-flatness.
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| 18. |
- Lindström, Ulf, et al.
(författare)
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T-duality and generalized Kahler geometry
- 2008
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Ingår i: Journal of High Energy Physics. - 1126-6708. ; :2, s. 056-
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Tidskriftsartikel (refereegranskat)abstract
- We use the new N = ( 2, 2) vector multiplets to clarify T-dualities for generalized Kahler geometries. Following the usual procedure, we gauge isometries of nonlinear sigma-models and introduce Lagrange multipliers that constrain the field-strengths of the gauge fields to vanish. Integrating out the Lagrange multipliers leads to the original action, whereas integrating out the vector multiplets gives the dual action. The description is given both in N = (2, 2) and N = (1, 1) superspace.
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| 19. |
- Lindström, Ulf, et al.
(författare)
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βγ-systems interacting with sigma-models
- 2020
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Ingår i: Journal of High Energy Physics (JHEP). - 1126-6708 .- 1029-8479. ; :6
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Tidskriftsartikel (refereegranskat)abstract
- We find a geometric description of interacting βγ-systems as a null Kac-Moody quotient of a nonlinear sigma-model for systems with varying amounts of supersymmetry.
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