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String Perturbation Theory on the Schwinger-Keldysh Time Contour
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abstract
We perform the large-$N$ expansion in the Schwinger-Keldysh formulation of non-equilibrium quantum systems with matrix degrees of freedom, and study universal features of the anticipated dual string theory. We find a rich refinement of the topological genus expansion: In the original formulation, the future time instant where the forward and backward branches of the Schwinger-Keldysh time contour meet is associated with its own worldsheet genus expansion. After the Keldysh rotation, the worldsheets decompose into a classical and quantum part.
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Tropical Branes
Quantizing open tropical strings with Dirichlet or Neumann boundary conditions gives a Hamiltonian of free, non-oscillating modes, named tropical branes, proposed to describe asymptotic on-shell string states.
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