Topic
Topological string theory
About: Topological string theory is a research topic. Over the lifetime, 1206 publications have been published within this topic receiving 54758 citations.
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TL;DR: In this paper, the authors demonstrate the effect of non-commutative geometry on topological properties of 2D U(1) NC gauge theory by Monte Carlo simulations and discuss possible implications of this effect in the context of string theory compactifications and in field theory contexts.
Abstract: We demonstrate a striking effect of non-commutative (NC) geometry on topological properties of gauge theory by Monte Carlo simulations. We study 2d U(1) NC gauge theory for various boundary conditions using a new finite-matrix formulation proposed recently. We find that a single topological sector dictated by the boundary condition dominates in the continuum limit. This is in sharp contrast to the results in commutative space-time based on lattice gauge theory, where all topological sectors appear with certain weights in the continuum limit. We discuss possible implications of this effect in the context of string theory compactifications and in field theory contexts.
9 citations
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TL;DR: In this article, a way of deriving a string theory from the local Yang-Mills theory in the large N limit is presented. But it is only in terms of gauge-invariant variables: it has the form of the so-called BF gravity, with an additional "aether" term.
Abstract: Quantum Yang–Mills theory can be rewritten in terms of gauge-invariant variables: it has the form of the so-called BF gravity, with an additional ‘aether’ term. The BF gravity based on the gauge group SU(N) is actually a theory of high spin fields (up to J = N ) with high local symmetry mixing up fields with different spins — as in supergravity but without fermions. As N → ∞ , one gets a theory with an infinite tower of spins related by local symmetry, similar to what one has in string theory. We thus outline a way of deriving a string theory from the local Yang–Mills theory in the large N limit.
9 citations
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TL;DR: In this article, it is shown how to regularize this functional integral in a BRST-invariant manner, allowing the computation of arbitrary multiloop amplitudes, i.e., terms in the ten-dimensional superspace action which do not involve integration over the maximum number of $\theta$'s.
Abstract: Using the non-minimal version of the pure spinor formalism, manifestly super-Poincare covariant superstring scattering amplitudes can be computed as in topological string theory without the need of picture-changing operators. The only subtlety comes from regularizing the functional integral over the pure spinor ghosts. In this paper, it is shown how to regularize this functional integral in a BRST-invariant manner, allowing the computation of arbitrary multiloop amplitudes. The regularization method simplifies for scattering amplitudes which contribute to ten-dimensional F-terms, i.e. terms in the ten-dimensional superspace action which do not involve integration over the maximum number of $\theta$'s.
9 citations
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TL;DR: In this article, a real-time formulation of light-cone pp-wave string field theory at finite temperature is presented by developing the thermo field dynamics (TFD) formalism in a second quantized string scenario.
Abstract: In this paper, a real-time formulation of light-cone pp-wave string field theory at finite temperature is presented. This is achieved by developing the thermo field dynamics (TFD) formalism in a second quantized string scenario. The equilibrium thermodynamic quantities for a pp-wave ideal string gas are derived directly from expectation values on the second quantized string thermal vacuum. Also, we derive the real-time thermal pp-wave closed string propagator. In the flat space limit it is shown that this propagator can be written in terms of Theta functions, exactly as the zero temperature one. At the end, we show how superstrings interactions can be introduced, making this approach suitable to study the BMN dictionary at finite temperature.
9 citations