Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2009-03-04
Nucl.Phys.B824:365-386,2010
Physics
High Energy Physics
High Energy Physics - Theory
References added
Scientific paper
10.1016/j.nuclphysb.2009.07.018
This note aims to subsume several apparently unrelated models under a common framework. Several examples of well-known quantum field theories are listed which are connected via stochastic quantization. We highlight the fact that the quantization method used to obtain the quantum crystal is a discrete analog of stochastic quantization. This model is of interest for string theory, since the (classical) melting crystal corner is related to the topological A-model. We outline several ideas for interpreting the quantum crystal on the string theory side of the correspondence, exploring interpretations in the Wheeler-De Witt framework and in terms of a non-Lorentz invariant limit of topological M-theory.
Dijkgraaf Robbert
Orlando Domenico
Reffert Susanne
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