Formal Maurer-Cartan Structures: from CFT to Classical Field Equations

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dc.creatorZeitlin, Anton M.
dc.date2007-08-07
dc.date2007-11-19
dc.date.accessioned2026-07-07T12:59:16Z
dc.date.available2026-07-07T12:59:16Z
dc.descriptionWe show how the well-known classical field equations as Einstein and Yang-Mills ones, which arise as the conformal invariance conditions of certain two-dimensional theories, expanded up to the second order in the formal parameter, can be reformulated as Generalized/formal Maurer-Cartan equations (GMC), where the differential is the BRST operator of String theory. We introduce the bilinear operations which are present in GMC, and study their properties, allowing us to find the symmetries of the resulting equations which will be naturally identified with the diffeomorphism and gauge symmetries of Einstein and Yang-Mills equations correspondingly.
dc.descriptionLaTeX2e, 26 pages; typos corrected, references added
dc.identifierhttps://arxiv.org/abs/0708.0955
dc.identifierhttp://arxiv.org/abs/0708.0955
dc.identifierJHEP 0712:098,2007
dc.identifierdoi:10.1088/1126-6708/2007/12/098
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/225520
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subjectDifferential Geometry
dc.titleFormal Maurer-Cartan Structures: from CFT to Classical Field Equations
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