Presents a seam-graded recursive algebraic method that converts the closed string tachyon vacuum equation into a sequence of matrix inversions in the zero-momentum Lorentz-scalar sector.
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Closed String Field Theory: Quantum Action and the BV Master Equation
10 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
abstract
The complete quantum theory of covariant closed strings is constructed in detail. The action is defined by elementary vertices satisfying recursion relations that give rise to Jacobi-like identities for an infinite chain of string field products. The genus zero string field algebra is the homotopy Lie algebra $L_\infty$, and the higher genus algebraic structure implies the Batalin-Vilkovisky (BV) master equation. From these structures on the off-shell state space, we show how to derive the $L_\infty$ algebra, and the BV equation on physical states, recently constructed in d=2 string theory. The string diagrams are surfaces with minimal area metrics, foliated by closed geodesics of length $2\pi$. These metrics generalize quadratic differentials in that foliation bands can cross. The string vertices are succinctly characterized; they include the surfaces whose foliation bands are all of height smaller than $2\pi$. --While this is not a review paper, an effort was made to give a fairly complete and accessible account of the quantum closed string field theory.--
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A 2-form connection is defined in the space of open string field theory solutions, producing invariant higher holonomies and 3-form curvature potentially corresponding to the B-field.
An algorithm based on homotopy transfer in L∞ algebras produces gauge-invariant fields for massive Kaluza-Klein modes that remain covariant under unbroken zero-mode gauge transformations.
Reviews homotopies in geometric BV formalism and builds new examples from RG flow and gauge changes to produce spans of quantum master actions with isomorphic effective actions.
The authors prove the absence of non-zero trivalent tree-level scattering amplitudes in su(n) field theory toy models via homological perturbation theory and demonstrate non-trivial higher products in an enlarged field space.
Refines closed string field theory for non-critical backgrounds such as D=26-ε flat space and linear dilaton profiles, constructing the classical BV action at genus zero and extending background independence to first order off the conformal locus.
Authors embed Yang-Mills BV-multiplet into N=2 spinning worldline path integral, pull back to supermoduli space integral form, and recover the Yang-Mills action upon projection to Fock space.
Hawking radiation terminates around the scrambling time due to trans-Planckian stringy effects in GUP and string-field-theory-inspired toy models, yielding negligible evaporation and a mostly classical black hole.
A first direct regularized construction of the unprojected spin sectors of the Type IIB superstring torus vacuum is given via sector-resolved modular integrals.
citing papers explorer
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Recursive-algebraic solution of the closed string tachyon vacuum equation
Presents a seam-graded recursive algebraic method that converts the closed string tachyon vacuum equation into a sequence of matrix inversions in the zero-momentum Lorentz-scalar sector.
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Higher Connection in Open String Field Theory
A 2-form connection is defined in the space of open string field theory solutions, producing invariant higher holonomies and 3-form curvature potentially corresponding to the B-field.
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Homotopy transfer for massive Kaluza-Klein modes
An algorithm based on homotopy transfer in L∞ algebras produces gauge-invariant fields for massive Kaluza-Klein modes that remain covariant under unbroken zero-mode gauge transformations.
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Homotopies in Batalin-Vilkovisky Formalism
Reviews homotopies in geometric BV formalism and builds new examples from RG flow and gauge changes to produce spans of quantum master actions with isomorphic effective actions.
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Field theory of $\mathfrak{su}(n)$: the absence of non-zero scatterings
The authors prove the absence of non-zero trivalent tree-level scattering amplitudes in su(n) field theory toy models via homological perturbation theory and demonstrate non-trivial higher products in an enlarged field space.
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Closed String Field Theory in 25.99 Dimensions
Refines closed string field theory for non-critical backgrounds such as D=26-ε flat space and linear dilaton profiles, constructing the classical BV action at genus zero and extending background independence to first order off the conformal locus.
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Yang-Mills Theory and the $\mathcal{N}=2$ Spinning Path Integral
Authors embed Yang-Mills BV-multiplet into N=2 spinning worldline path integral, pull back to supermoduli space integral form, and recover the Yang-Mills action upon projection to Fock space.
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UV Effects and Short-Lived Hawking Radiation: Alternative Resolution of Information Paradox
Hawking radiation terminates around the scrambling time due to trans-Planckian stringy effects in GUP and string-field-theory-inspired toy models, yielding negligible evaporation and a mostly classical black hole.
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Lorentzian Regularization of the Type IIB Superstring Torus Vacuum
A first direct regularized construction of the unprojected spin sectors of the Type IIB superstring torus vacuum is given via sector-resolved modular integrals.
- Conserved charges and $L_\infty$ algebras