Some aspects of deformations of supersymmetric field theories

By Sergio Ferrara. 2000

194 citations recorded by the source corpus.

We investigate some aspects of Moyal-Weyl deformations of superspace and their compatibility with supersymmetry. For the simplest case, when only bosonic coordinates are deformed, we consider a four-dimensional supersymmetric field theory which is the deformation of the Wess-Zumino renormalizable theory of a chiral superfield. We then consider the deformation of a free theory of an abelian vector multiplet, which is a non-commutative version of the rank 1 Yang-Mills theory. We finally give the supersymmetric version of the α'0 limit of the Born-Infeld action with a B-field turned on, which is believed to be related to the non-commutative U(1) gauge theory.

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

View Paper: https://www.semanticscholar.org/paper/ca790dbf24ce4173788acfcfcd4d6fa38cea091e

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. C. Vafa
2. E. Witten
3. N. Seiberg
4. Marcos Mariño
5. Michael R Douglas
6. Hirosi Ooguri
7. A. Klemm
8. N. Nekrasov

In Nuclear and High Energy Physics

1. N. Seiberg
2. C. Vafa
3. E. Witten
4. Michael R Douglas
5. Hirosi Ooguri
6. N. Nekrasov
7. D. Gaiotto
8. Y. Nakayama

In Statistical and Nonlinear Physics

1. N. Seiberg
2. C. Vafa
3. Michael R Douglas
4. Hirosi Ooguri
5. E. Witten
6. N. Nekrasov
7. Marcos Mariño
8. A. Klemm

Citations in the corpus

• Non-commutative superspace from string theory (2003, background): “in [ 8 , 9]. There is a rather trivial version of non-commutative superspace in the literature where {θ, θ} and [x, θ]”
• Noncommutative field theory (2001, methodology): “With care, one can also use the conventional superfield formalism, treating the anticommuting coordinates as formal variables which commute with elements of A (Ferrara and Lledo 2000).”
• 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.”
• Non(anti)commutative superspace (2001, background): “First steps in this direction were undertaken in [10], where quantum deformations of the Poincaré supergroup were considered, and in [11], where it was shown that in general chiral superfields are not closed under star products that involve also deformations of fermionic coordinates.”
• 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]).”