Courant Algebroid Connections and String Effective Actions
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F18%3A10370554" target="_blank" >RIV/00216208:11320/18:10370554 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1142/9789813144613_0005" target="_blank" >https://doi.org/10.1142/9789813144613_0005</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1142/9789813144613_0005" target="_blank" >10.1142/9789813144613_0005</a>
Alternative languages
Result language
angličtina
Original language name
Courant Algebroid Connections and String Effective Actions
Original language description
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.
Czech name
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Czech description
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Classification
Type
O - Miscellaneous
CEP classification
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OECD FORD branch
10300 - Physical sciences
Result continuities
Project
<a href="/en/project/GBP201%2F12%2FG028" target="_blank" >GBP201/12/G028: Eduard Čech Institute for algebra, geometry and mathematical physics</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů