Closed String Field Theory: Quantum Action and the BV Master Equation TeX Export

@misc{citeulike:934163, 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\$. <br />--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.--}, archivePrefix = {arXiv}, author = {Zwiebach, Barton}, citeulike-article-id = {934163}, citeulike-linkout-0 = {http://arxiv.org/abs/hep-th/9206084}, citeulike-linkout-1 = {http://arxiv.org/pdf/hep-th/9206084}, day = {23}, eprint = {hep-th/9206084}, keywords = {closed, field, string, theory}, month = {Jun}, posted-at = {2006-11-07 09:53:32}, priority = {2}, title = {Closed String Field Theory: Quantum Action and the BV Master Equation}, url = {http://arxiv.org/abs/hep-th/9206084}, year = {1992} }

TY - ELEC ID - citeulike:934163 L3 - citeulike-article-id:934163 N2 - 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 $2\pi$. <br />--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.-- TI - Closed String Field Theory: Quantum Action and the BV Master Equation KW - closed KW - field KW - string KW - theory AU - Zwiebach, Barton PY - 1992/Jun/23/ UR - http://arxiv.org/abs/hep-th/9206084 ER -