M. Ronen Plesser
Special Lagrangian torus fibrations of complete intersection Calabiâ€“Yau manifolds: A geometric conjecture
Nuclear Physics B (2015)
Worldsheet instantons and (0,2) linear models
Journal of High Energy Physics (2015)
Accidents in (0,2) Landau-Ginzburg theories
Journal of High Energy Physics (2014)
Hybrid Conformal Field Theories
Conifold Transitions in M-theory on Calabi-Yau Fourfolds with Background Fluxes
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My research is in String Theory, the most ambitious attempt yet at a comprehensive theory of the fundamental structure of the universe. In some (rather imprecise) sense, string theory replaces the particles that form the fundamental building blocks for conventional theories (the fields, or wave phenomena, we observe are obtained starting from particles when we apply the principles of quantum mechanics) with objects that are not point-like but extended in one dimension – strings. At present, the theory is not precisely formulated, as we still seek the conceptual and technical tools needed. The structures we do have in hand suggest that, when formulated precisely, the theory will provide a consistent framework encompassing the two greatest achievements of twentieth century theoretical physics: Einstein’s general theory of relativity, which describes gravitational forces objects in terms of deformations of the geometry of spacetime; and quantum mechanics, a model of fundamental physics in which microscopic objects exhibit the properties of particles under some circumstances and those of waves under others. Both of these theories have been tested with extraordinary precision and yield predictions that agree with our observations of the physical universe. Relativistic effects are manifest at the largest scales in the universe, in the interactions of stars, galaxies, etc. The differences between a quantum mechanical description and a classical nineteenth century description of these objects are so small they can be neglected. Quantum effects dominate at the smallest scales – atoms and their constituents. In this realm, the effects of gravitation can be completely neglected. And yet, under extreme conditions of density, such as may obtain in the final instant of the evaporation of a black hole, both kinds of effects are important. A universal theory of physics thus requires a consistent quantum theory of gravity. Thus far, string theory is the most promising candidate for producing such a theory. Investigations of this theory have already yielded rich insights, and continue to produce more.
My own research centers on the crucial role played in the theory by geometric structures. There is an obvious role for geometry in a theory that incorporates gravitation, which as discussed above is tantamount to the geometry of spacetime. Related to this are several other, less obvious, geometric structures that play an important role in determining the physics of the theory. Indeed, advances in mathematics and in the physics of string theory have often been closely linked. An example of how the two fields have interacted in a surprising way is the ongoing story of mirror symmetry.
M.A. - Harvard University
BS - Tel Aviv University
Massless spectrum for hybrids CFTs
In Proceedings of String-Math 2013 edited by . ; : .
Supersymmetric Boundary Conditions for the N=2 Sigma Model
In Quantum Theory and Symmetries: Proceedings of the Third International Symposium edited by P C Argyres et al. October, 2004; : World Scientific.
Mirror manifolds: a brief review and progress report
In PASCOS 1991 edited by P. Nath and S. Reucroft. 1992; pp. 0648-0666. : World Scientific.