Dipoles, Twists and Noncommutative Gauge Theory

By A. Bergman, O. Ganor. 2000

148 citations recorded by the source corpus.

T-duality of gauge theories on a noncommutative $T^d$ can be extended to include fields with twisted boundary conditions. The resulting T-dual theories contain novel nonlocal fields. These fields represent dipoles of constant magnitude. Several unique properties of field theories on noncommutative spaces have simpler counterparts in the dipole-theories.

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

View Paper: https://www.semanticscholar.org/paper/c3e8af9ead9dec44c5ccd81c3e6573eab2c7e9f9

How researchers see this paper

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

In Nuclear and High Energy Physics

1. M. Rangamani
2. Marika Taylor
3. V. Hubeny
4. Kostas Skenderis
5. J. Maldacena
6. B. C. Rees
7. R. Myers
8. S. Hartnoll

In Statistical and Nonlinear Physics

1. M. Rangamani
2. V. Hubeny
3. Kostas Skenderis
4. Marika Taylor
5. J. Maldacena
6. B. C. Rees
7. D. Martelli
8. R. Myers

Citations in the corpus

• Holography for Schrödinger backgrounds (2010, background): “Dipole theories were originally introduced in [20] and arise from taking decoupling limit of branes in a background with a B field with one leg longitudinal to the brane and one leg transverse to the brane.”
• Comments on string theory backgrounds with non-relativistic conformal symmetry (2008, methodology): “ the angular momentum associated to the rotation in the ~xplane. 2.4 DLCQ of dipole theories Another variation is to consider a certain non-commutative theory, called a “dipole theory” [10] (see also [11, 22, 23]). This is a theory were the field multiplication is defined via a star product. In order ”
• Nonlocal field theories and their gravity duals (2001, methodology): “In [10], the first order correction to the SYM Lagrangian was determined as the dipole length times the dimension 5 operator”
• Heating up Galilean holography (2008, methodology): “Indeed, geometries of this type have previously been studied, in investigations of the application of solution generating transformations to construct geometries corresponding to twisted versions of the D3-brane worldvolume theory [27, 28].”