Discrete light-cone quantization on a twisted torus
نویسنده
چکیده
Recently it has been demonstrated by Dienes and Mafi that the physics of toroidal compactified models of extra dimensions can depend on the shape angle of the torus. Toroidal compactification has also recently been used as a regulator for numerical solutions of supersymmetric field theories in 2+1 dimensions. The question is: does the shape angle of the torus also affect the physics in this situation? Clearly a numerical solution should be independent of the shape of the space on which we compactify, at least when the regulator is removed. We show that, for standard discrete light-cone quantization with transverse parity invariance, toroidal compactification is only allowed for a specific set of shape angles and for that set of shape angles the numerical solutions are unchanged.
منابع مشابه
DLCQ Strings and Branched Covers of Torii
In this lecture I will review some results about the discrete light-cone quantization (DLCQ) of strings and some connections of the results with matrix string theory. I will review arguments which show that, in the path integral representation of the thermal free energy of a string, the compactifications which are necessary to obtain discrete light-cone quantization constrains the integral over...
متن کاملTwisted Bundle On Quantum Torus and BPS States in Matrix Theory
Following the recent work of Connes, Douglas and Schwarz, we study the M(atrix) model compactified on a torus with a background of the three-form field. This model is given by a super Yang-Mills theory on a quantum torus. To consider twisted gauge field configurations, we construct twisted U(n) bundles on the quantum torus as a deformation of its classical counterpart. By properly taking into a...
متن کامل0 M theory as a matrix extension of Chern - Simons theory
We study a new class of matrix models, the simplest of which is based on an Sp(2) symmetry and has a compactification which is equivalent to Chern-Simons theory on the three-torus. By replacing Sp(2) with the super-algebra Osp(1|32), which has been conjectured to be the full symmetry group of M theory, we arrive at a supercovariant matrix model which appears to contain within it the previously ...
متن کاملTASI Lectures on Matrix Theory
This is a summary of key issues in Matrix Theory and its compactifications. It is emphasized that Matrix Theory is a valid Discrete Light Cone Quantization of M Theory with at least 6 noncompact asymptotically flat dimensions and 16 or 32 Supersymmetry charges. The background dependence of the quantum mechanics of M Theory, and the necessity of working in light cone frame in asymptotically flat...
متن کاملTwisted Torus Bundles over Arithmetic Varieties
A twisted torus is a nilmanifold which is the quotient of a real Heisenberg group by a cocompact discrete subgroup. We construct fiber bundles over arithmetic varieties whose fibers are isomorphic to a twisted torus, and express the complex cohomology of such bundles over certain Riemann surfaces in terms of automorphic forms.
متن کامل