Non(anti)commutative superspace

By D. Klemm, S. Penati, L. Tamassia. 2001

188 citations recorded by the source corpus.

We investigate the most general non(anti)commutative geometry in N = 1 four-dimensional superspace, invariant under the classical (i.e., undeformed) supertranslation group. We find that a nontrivial non(anti)commutative superspace geometry compatible with supertranslations exists with non(anti)commutation parameters which may depend on the spinorial coordinates. The algebra is in general nonassociative. Imposing associativity introduces additional constraints which, however, allow for nontrivial commutation relations involving fermionic coordinates. We obtain explicitly the first three terms of a series expansion in the deformation parameter for a possible associative -product. We also consider the case of N = 2 Euclidean superspace where the different conjugation relations among spinorial coordinates allow for a more general supergeometry.

Subfields: Geometry and Topology, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/5bfca8831b3cbbb108de5f09fa0b8fc315e00836

How researchers see this paper

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

In Geometry and Topology

1. N. Seiberg
2. C. Vafa
3. Hirosi Ooguri
4. J. Boer
5. Marcos Mariño
6. A. Klemm
7. R. Dijkgraaf
8. Mina Aganagic

In Nuclear and High Energy Physics

1. N. Seiberg
2. Hirosi Ooguri
3. C. Vafa
4. E. Witten
5. Y. Nakayama
6. Marcos Mariño
7. Eran Palti
8. J. Boer

In Statistical and Nonlinear Physics

1. N. Seiberg
2. Hirosi Ooguri
3. C. Vafa
4. E. Witten
5. J. Boer
6. Ashoke Sen
7. Marcos Mariño
8. Y. Nakayama

Citations in the corpus

• Noncommutative superspace, Script N = 1/2 supersymmetry, field theory and string theory (2003, background): “has been explored by many people (for a partial list, see [3-16]).”
• Non-commutative superspace from string theory (2003, background): “A general ansatz of this type was already discussed in [11], but our focus will be to obtain such deformations from string theory.”
• The C-deformation of gluino and non-planar diagrams (2003, background): “Such deformation of the superspace has been studied earlier [18,19,20], and it is interesting that it is realized in the context of string theory.”