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String Field Theory: A Review
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abstract
As of today there exist consistent, gauge-invariant string field theories describing all string theories: bosonic open and closed strings, open superstrings, heterotic strings and type II strings. The construction of these theories require algebraic ingredients, such as $A_\infty$ and $L_\infty$ homotopy algebras, geometric ingredients, relevant to the building of moduli spaces of Riemann surfaces and the distribution of picture changing operators, and field-theoretic ingredients, involving two-dimensional CFT's and BCFT's and Batalin-Vilkovisky quantization. Applications of string field theory include the description of non-perturbative phenomena such as tachyon condensation and classical solutions, and the resolution of a number of ambiguities that bedevil the world-sheet formulation of perturbative string theory. It also allows, given a proper definition of contours of integration for momenta, for a proof of unitarity and a clear understanding of the ultraviolet finiteness of the theory. In this article we review these developments.
Forward citations
Cited by 8 Pith papers
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A New Term in Type II Effective Action
One-loop type II effective actions contain a dilaton times Euler-density term from superconformal ghost zero modes, resolving a black-hole index puzzle on Calabi-Yau spaces.
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Hodge Loci and Complex Multiplication via Generalized Symmetries in Calabi-Yau sigma models
Proposes a CFT analogue of Hodge loci in Calabi-Yau sigma models via non-trivial TDL categories of topological defects, with CM number field embeddings at special points for elliptic curves and K3 surfaces.
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The BEF Symplectic Form: A Lagrangian Perspective
The BEF symplectic form is derived from L∞-Lagrangians via covariant phase space methods and coincides with the Barnich-Brandt form for second-order equations of motion.
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WKB-asymptotics for multipoint Virasoro conformal blocks and applications
Multipoint Virasoro conformal blocks on the sphere are shown, at large intermediate dimensions, to reduce to elliptic theta-function asymptotics, yielding a Zamolodchikov-style recursion and practical minimal-string a...
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Covariant phase space and $L_\infty$ algebras
A covariant phase space symplectic form is constructed for any L∞ Lagrangian field theory using a 'sigmoid' operator, and is verified in scalar, Yang-Mills, general relativity, and p-adic string examples.
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The Runkel-Watts string
The Runkel-Watts string is a solvable family of two-dimensional string theories whose all-genus amplitudes are generated by SU(2) Yang-Mills TQFT data combined with VMS quantum volumes, and it has a dual matrix-integr...
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Symplectic structure in open string field theory III: Electric field
OSFT symplectic energy of a constant-electric-flux D-brane matches the DBI energy via a generalized Ellwood invariant for nonpolynomial theories.
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On the $AdS_5\times S^5$ Solution of Superstring Field Theory
The AdS5 x S5 background of type IIB superstring field theory is constructed explicitly to third order in the large-radius expansion, with maximal super-isometry verified to second order and the massless RR axion iden...
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