W algebras are L∞ algebras

被引：0

作者：

Blumenhagen, Ralph ^{[1
]}

Fuchs, Michael ^{[1
]}

Traube, Matthias ^{[1
]}

机构：

[1] Max Planck Inst Phys & Astrophys, Werner Heisenberg Inst, Fohringer Ring 6, D-80805 Munich, Germany

来源：

JOURNAL OF HIGH ENERGY PHYSICS | 2017年 / 07期

关键词：

Conformal and W Symmetry; Conformal Field Models in String Theory; SH-LIE-ALGEBRAS; FIELD-THEORY;

D O I：

10.1007/JHEP07(2017)060

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

It is shown that the closure of the infinitesimal symmetry transformations underlying classical W algebras give rise to L-infinity algebras with in general field dependent gauge parameters. Therefore, the class of well understood W algebras provides highly nontrivial examples of such strong homotopy Lie algebras. We develop the general formalism for this correspondence and apply it explicitly to the classical W-3 algebra.

引用

页数：14

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