Exploring W infinity in the quadratic basis

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68378271%3A_____%2F15%3A00454712" target="_blank" >RIV/68378271:_____/15:00454712 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/JHEP09(2015)116" target="_blank" >http://dx.doi.org/10.1007/JHEP09(2015)116</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/JHEP09(2015)116" target="_blank" >10.1007/JHEP09(2015)116</a>

Result language
angličtina
Original language name
Exploring W infinity in the quadratic basis
Original language description
We study the operator product expansions in the chiral algebra W , first using the associativity conditions in the basis of primary generating fields and then using a different basis coming from the free field representation in which the OPE takes a simpler quadratic form. The results in the quadratic basis can be compactly written using certain bilocal combinations of the generating fields and we conjecture a closed-form expression for the complete OPE in this basis. Next we show that the commutation relations as well as correlation functions can be easily computed using properties of these bilocal fields. In the last part we verify the consistency with results derived previously by studying minimal models of W and comparing them to known reductions of W to WN. The results we obtain illustrate nicely the role of triality symmetry in the representation theory of W.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BE - Theoretical physics
OECD FORD branch
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Project
<a href="/en/project/GA14-31689S" target="_blank" >GA14-31689S: Quantum gravity and string theory</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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