Generalized Complex Manifolds and Supersymmetry

By Ulf Lindström, R. Minasian, A. Tomasiello, M. Zabzine. 2004

179 citations recorded by the source corpus.

We find a worldsheet realization of generalized complex geometry, a notion introduced recently by Hitchin which interpolates between complex and symplectic manifolds. The two–dimensional model we construct is a supersymmetric relative of the Poisson sigma model used in the context of deformation quantization.

Subfields: Mathematical Physics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/93768607672356fa45bb232ae70bc9e510c4779b

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Mathematical Physics

1. M. Graña
2. E. Witten
3. A. Kapustin
4. M. Gualtieri
5. G. Cavalcanti
6. A. Tomasiello
7. M. Petrini
8. R. Minasian

In Nuclear and High Energy Physics

1. M. Graña
2. M. Gualtieri
3. A. Tomasiello
4. E. Witten
5. A. Kapustin
6. M. Petrini
7. G. Cavalcanti
8. R. Minasian

In Statistical and Nonlinear Physics

1. M. Graña
2. M. Gualtieri
3. E. Witten
4. A. Kapustin
5. G. Cavalcanti
6. A. Tomasiello
7. M. Petrini
8. R. Minasian

Citations in the corpus

• Reduction and submanifolds of generalized complex manifolds (2005, background): “The same is true for generalized almost tangent manifolds M but, the argumentation is different.”
• Electric-Magnetic Duality And The Geometric Langlands Program (2006, background): “Gualtieri’s thesis [67], as well as [71-74,68] for applications to sigma-models and [75-77] for applications to supergravity.”
• Generalized complex geometry and T-duality (2011, background): “Once the connection with generalized geometry was understood, several works appeared [16, 19, 12, 23, 24, 29, 28] which provide a physical motivation and justification for the use of generalized complex structures to understand mirror symmetry.”
• Generalized Kähler Manifolds and Off-shell Supersymmetry (2005, background): “When [J+, J−] 6= 0, additional (auxiliary) spinorial N = (1, 1) fields are needed to close the algebra [10], [11].”
• Maximally homogeneous para-CR manifolds of semisimple type (2006, unknown): “The references for the mathematical aspects are chiefly [2, 1], while a presentation more accessible to physicists (containing, e.g., coordinate and matrix descriptions) may be found in [ 7 , 8].”
• Topological sigma-models with H-flux and twisted generalized complex manifolds (2004, background): “[11, 12 ]. This subject may also be relevant to flux compactifications of superstring theories, see e.g.”
• Generalized structures of N=1 vacua (2005, methodology): “The general form has been given in [9] using the formalism of BV superfields(14) (see also [36]); the transformations rules are similar to the ones given for the (2, 1) model in [37].”
• Generalized Complex Geometry (2004, background): “For a direct investigation of the properties of P , see [26], [12], and [1].”
• Supersymmetric backgrounds from generalized Calabi‐Yau manifolds (2004, background): “The proper way of doing this is most probably using again generalized complex geometry and a framework similar to [25].”