Original title: Courant algebroid connections and string effective actions
Authors: Jurčo, B. ; Vysoký, Jan
Document type: Papers
Conference/Event: Tohoku Forum of Creativity, Fundamental Problems in Quantum Physics: Strings, Black Holes and Quantum Information, Tohoku (JP), 20150401
Year: 2017
Language: eng
Abstract: Courant algebroids are a natural generalization of quadratic Lie algebras, appearing in various contexts in mathematical physics. A connection on a Courant algebroid gives an analogue of a covariant derivative compatible with a given fiber-wise metric. Imposing further conditions resembling standard Levi-Civita connections, one obtains a class of connections whose curvature tensor in certain cases gives a new geometrical description of equations of motion of low energy effective action of string theory. Two examples are given. One is the so called symplectic gravity, the second one is an application to the the so called heterotic reduction. All necessary definitions, propositions and theorems are given in a detailed and self-contained way.
Keywords: Courant algebroid connections; Levi-Civita connections; low-energy effective actions
Host item entry: Noncommutative Geometry and Physics 4, ISBN 978-981-3144-60-6

Institution: Institute of Mathematics AS ČR (web)
Document availability information: Fulltext is available on demand via the digital repository of the Academy of Sciences.
Original record: http://hdl.handle.net/11104/0272259

Permalink: http://www.nusl.cz/ntk/nusl-373438


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