TY - JOUR

T1 - Coherent-state path integrals for loop groups and non-abelian bosonisation

AU - Stone, Michael

N1 - Funding Information:
I would like to thankF edeleL izzi for valuablec onversationasn dfor showingm e ref. \[18\]t,h usp ersuadinmg e that my ideaso n the subjectm ightbe of interestI. would also like to thank Alan McKane and Hugh guckockf or help while I was organizingm y thoughtsI. am gratefutl o the PhysicsD epartmenotf the University of Manchester for hospitality.T his work was supportedb y SERC grant GR/E/91301 and by NSF-DMR-84-15063.

PY - 1989/11/27

Y1 - 1989/11/27

N2 - After a discussion of coherent states for the loop group LU(N), we use them to write down a bosonic path integral which describes the level-one representations of LU(N). The construction uses the description of the representations in terms of free right-going Weyl fermions and so provides one with an explicit geometrical interpretation for a Fermi-Bose equivalence. The bosonic system is easily seen to have a single Kac-Moody algebra as its Poisson brackets and coincides with the non-abelian chiral boson model that has been introduced by Sonnenschein et al. [Nucl. Phys. B301 (1988) 346; B309 (1988) 752].

AB - After a discussion of coherent states for the loop group LU(N), we use them to write down a bosonic path integral which describes the level-one representations of LU(N). The construction uses the description of the representations in terms of free right-going Weyl fermions and so provides one with an explicit geometrical interpretation for a Fermi-Bose equivalence. The bosonic system is easily seen to have a single Kac-Moody algebra as its Poisson brackets and coincides with the non-abelian chiral boson model that has been introduced by Sonnenschein et al. [Nucl. Phys. B301 (1988) 346; B309 (1988) 752].

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U2 - 10.1016/0550-3213(89)90276-9

DO - 10.1016/0550-3213(89)90276-9

M3 - Article

AN - SCOPUS:33744671478

SN - 0550-3213

VL - 327

SP - 399

EP - 414

JO - Nuclear Physics, Section B

JF - Nuclear Physics, Section B

IS - 2

ER -