Quick search Find article
Quick search
Find article

Supersymmetry on the noncommutative lattice

Jun Nishimura1, Soo-Jong Rey2,3 and Fumihiko Sugino2

Show affiliations


Built upon the proposal of Kaplan et al. \heplat{0206109}, we construct noncommutative lattice gauge theory with manifest supersymmetry. We show that such theory is naturally implementable via orbifold conditions generalizing those used by Kaplan et al. We present the prescription in detail and illustrate it for noncommutative gauge theories latticized partially in two dimensions. We point out a deformation freedom in the defining theory by a complex-parameter, reminiscent of discrete torsion in string theory. We show that, in the continuum limit, the supersymmetry is enhanced only at a particular value of the deformation parameter, determined solely by the size of the noncommutativity.


Keywords

Lattice Gauge Field Theories

M(atrix) Theories

Lattice Quantum Field Theory

Non-Commutative Geometry

 

E-print Number: hep-lat/0301025

Cited: by |

Refers: to

PACS

11.15.Ha Lattice gauge theory

11.10.Cd Axiomatic approach

11.30.Pb Supersymmetry

11.10.Nx Noncommutative field theory

11.25.Yb M theory

Subjects

Particle physics and field theory

Dates

Issue 02 (February 2003)

Received 5 February 2003, accepted for publication 18 February 2003

Published 25 February 2003



  1. Supersymmetry on the noncommutative lattice

    Jun Nishimura et al JHEP02(2003)032

  2. One-dimensional Au on TiO2

    A Locatelli et al 2007 J. Phys.: Condens. Matter 19 082202

  3. Compton Positron Emission Tomography with a Liquid Xenon Time Projection Chamber

    K Giboni et al 2007 JINST 2 P10001

  4. Spectroscopic investigation of volatile compounds produced during thermal and radiofrequency bipolar cautery on porcine liver

    J M Rey et al 2008 Meas. Sci. Technol. 19 075602

  5. A mechanical equivalence for Poisson's ratio and thickness of C–C bonds in single wall carbon nanotubes

    Fabrizio Scarpa and Sondipon Adhikari 2008 J. Phys. D: Appl. Phys. 41 085306

  6. BIPM comparison BIPM.RI(II)-K1.Ru-106 of activity measurements of the radionuclide 106Ru

    G Ratel and C Michotte 2003 Metrologia 40 06034

  7. Appendix I: Irving Langmuir condensed c.v.

    R N Franklin 2009 Plasma Sources Sci. Technol. 18 010401

  8. Detecting unambiguously non-Abelian geometric phases with trapped ions

    Xin-Ding Zhang et al 2008 New J. Phys. 10 043031

  9. Dual metal–insulator and insulator–insulator switching in nanoscale and Al doped VO2

    A Gentle and G B Smith 2008 J. Phys. D: Appl. Phys. 41 015402

  10. The British Climate Change Act: a critical evaluation and proposed alternative approach

    Roger A Pielke Jr 2009 Environ. Res. Lett. 4 024010

Related review articles

What's this?
View review articles related to this research to gain an insight into the key trends in this subject area. Related review articles are selected based on PACS/MSC codes, and are no more than three years old.

  1. Basics of generalized unitarity
  2. Loop amplitudes in gauge theories: modern analytic approaches
  3. Scattering amplitudes and Wilson loops in twistor space
More

View by subject




Export








Please login to access our web services, or create an account if you don't yet have one.

You must have cookies enabled in your web browser to be able to login.

Username
Password

Forgotten your password? Get a new one here.