Papers by David M. Schmidtt
Journal of High Energy Physics, 2021
We derive, within the Hamiltonian formalism, the classical exchange algebra of a lambda deformed ... more We derive, within the Hamiltonian formalism, the classical exchange algebra of a lambda deformed string sigma model in a symmetric space directly from a 4d holomorphic Chern-Simons theory. The explicit forms of the extended Lax connection and R-matrix entering the Maillet bracket of the lambda model are explained from a symmetry principle. This approach, based on a gauge theory, may provide a mechanism for taming the non-ultralocality that afflicts most of the integrable string theories propagating in coset spaces.
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Journal of High Energy Physics
The lambda deformation of the pure spinor formalism of the superstring in the AdS 5 × S 5 backgro... more The lambda deformation of the pure spinor formalism of the superstring in the AdS 5 × S 5 background is introduced. It is shown that the deformation preserves the integrability as well as the one-loop conformal invariance of its parent theory. It is also shown that the effective action takes the standard form of the Berkovits-Howe action functional, allowing to calculate the deformed background supergeometry in a straightforward way. The background fields coincide with those of the lambda model of the Green-Schwarz formalism, hence satisfying the same set of supergravity equations of motion.
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Journal of Physics A: Mathematical and Theoretical, 2014
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Journal of High Energy Physics
A general class of deformations of integrable sigma-models with symmetric space F/G target-spaces... more A general class of deformations of integrable sigma-models with symmetric space F/G target-spaces are found. These deformations involve defining the non-abelian T dual of the sigma-model and then replacing the coupling of the Lagrange multiplier imposing flatness with a gauged F/F WZW model. The original sigma-model is obtained in the limit of large level. The resulting deformed theories are shown to preserve both integrability and the equations-of-motion, but involve a deformation of the symplectic structure. It is shown that this deformed symplectic structure involves a linear combination of the original Poisson bracket and a generalization of the Faddeev-Reshetikhin Poisson bracket which we show can be re-expressed as two decoupled F current algebras. It is then shown that the deformation can be incorporated into the classical model of strings on \( \mathbb{R}\times F/G \) via a generalization of the Pohlmeyer reduction. In this case, in the limit of large sigma-model coupling it...
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Papers by David M. Schmidtt