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Lubos Motl

Publications and source records attributed to Lubos Motl.

23 records · Page 2Linked to original sources
arXiv1997

Finite N Heterotic Matrix Models and Discrete Light Cone Quantization

The finite N version of Matrix theory describes M-theory and superstrings in so-called discretized light cone quantization (DLCQ). Its role has been explained for M-theory in 11 dimensions and for type IIA theory. We show novelties which arise by generalizing the ideas to heterotic strings. The states which arise in O(N) theories with odd N we interpret as fields which are antiperiodic in the longitudinal direction. Consistency of these ideas provides a new evidence for the conjecture that finite N models describe sectors with a given longitudinal momentum.

hep-th↗
arXiv1997

Quaternions and M(atrix) theory in spaces with boundaries

A proposal for the matrix model formulation of the M-theory on a space with a boundary is given. A general machinery for modding out a symmetry in M(atrix) theory is used for a Z_2 symmetry changing the sign of the X_1 coordinate. The construction causes the elements of matrices to be equivalent to real numbers or quaternions and the symmetry U(2N) of the original model is reduced to O(2N) or USp(2N)=U(N,H). We also show that membranes end on the boundary of the spacetime correctly in this construction.

hep-th↗
arXiv1997

Proposals on nonperturbative superstring interactions

We show a possibility that the matrix models recently proposed to explain (almost) all the physics of M-theory may include the superstring theories that we know perturbatively. The ``1st quantized'' physical system of one IIA string seems to be an exact consequence of M(atrix) theory with a proper mechanism to mod out a symmetry. The central point of the paper is the representation of strings with P^+/epsilon greater than one. I call the mechanism ``screwing strings to matrices''. I also give the first versions of the proof of 2/3 power law between the compactification radius and the coupling constant in this formulation. Multistring states are involved in a M(atrix) theory fashion, replacing the 2nd quantization that I briefly review. We shortly discuss the T-dualities, type I string theory and involving of FP ghosts to all the systems including the original one of Banks et al.

hep-th↗
arXiv1995

Two-parametric zeta function regularization in superstring theory

In this paper some quite simple examples of applications of the zeta-function regularization to superstring theories are presented. It is shown that the Virasoro anomaly in the BRST formulation of (super)strings can be directly computed from the original expressions of the operators as well as normal ordering constants and masses of ground levels. Hawking's zeta regularization is recognized as an efficient tool for direct calculations, bringing no ambiguities. Possible implications for global GSO operators' phases definitions (maybe ensuring modular invariance) will be discussed elsewhere.

hep-th↗