Archivio Istituzionale della RicercaThe machinery developed in paper I is used to compute the operator-product algebra (OPA) of an operator constructed from the third-order Casimir invariant of the superalgebra SU(m|n). The vertex operator construction of SU(m|n)(1) is used to find a realization of the OPA for level k=1 in terms of free bosonic fields only. It turns out that in many respects the conformal structure of the affinized Lie superalgebra SU(m|n)(1) is similar to that of the Kač-Moody algebra SU(m-n)(1). An intermediate result suggests the occurrence of extended conformal symmetries in bc systems, to which we will devote a separate discussion.
Extended Sugawara construction for the superalgebras SU(M+1|N+1). II. The third-order Casimir algebra / Bouwknegt, P; Ceresole, Anna Teresa; VAN NIEUWENHUIZEN, P; Mccarthy, J.. - In: PHYSICAL REVIEW D. - ISSN 0556-2821. - 40:2(1989), pp. 415-421. [10.1103/PhysRevD.40.415]
Extended Sugawara construction for the superalgebras SU(M+1|N+1). II. The third-order Casimir algebra
CERESOLE, Anna Teresa;
1989
Abstract
The machinery developed in paper I is used to compute the operator-product algebra (OPA) of an operator constructed from the third-order Casimir invariant of the superalgebra SU(m|n). The vertex operator construction of SU(m|n)(1) is used to find a realization of the OPA for level k=1 in terms of free bosonic fields only. It turns out that in many respects the conformal structure of the affinized Lie superalgebra SU(m|n)(1) is similar to that of the Kač-Moody algebra SU(m-n)(1). An intermediate result suggests the occurrence of extended conformal symmetries in bc systems, to which we will devote a separate discussion.
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
https://hdl.handle.net/11583/1648247
Attenzione
Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo