Exploring W infinity in the quadratic basis

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

Exploring W infinity in the quadratic basis

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Exploring W infinity in the quadratic basis

Popis výsledku anglicky

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.

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BE - Teoretická fyzika

OECD FORD obor

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Projekt

<a href="/cs/project/GA14-31689S" target="_blank" >GA14-31689S: Kvantová gravitace a teorie strun</a><br>

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2015

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Journal of High Energy Physics

ISSN

1029-8479

e-ISSN

—

Svazek periodika

2015

Číslo periodika v rámci svazku

9

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

62

Strana od-do

—

Kód UT WoS článku

000361617700007

EID výsledku v databázi Scopus

2-s2.0-84942313340