Critical dimensions for strungs on group-manifolds from path-integral methods

A. Ceresole; A. Lerda; P. Pizzochero; P. Van Nieuwenhuizen

doi:10.1016/0370-2693(87)91265-2

Critical dimensions for strungs on group-manifolds from path-integral methods

A. Ceresole
, A. Lerda
, P. Pizzochero
, P. Van Nieuwenhuizen

Research output: Contribution to journal › Article › peer-review

Abstract

We derive the critical dimensions of bosonic string on SO(N) group-manifolds for arbitrary level k, using path-integral methods and non-abelian bosonization techniques. We obtain a recursive equation for the critical dimensions, whose solution is in agreement with the operator approach results. We also discuss the application of this method to the linear sigma models.

Original language	English
Pages (from-to)	34-38
Number of pages	5
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	189
Issue number	1-2
DOIs	https://doi.org/10.1016/0370-2693(87)91265-2
Publication status	Published - 30 Apr 1987
Externally published	Yes

Access to Document

10.1016/0370-2693(87)91265-2

Cite this

@article{5dcab962eb7c42598600e62a12ae6e60,

title = "Critical dimensions for strungs on group-manifolds from path-integral methods",

abstract = "We derive the critical dimensions of bosonic string on SO(N) group-manifolds for arbitrary level k, using path-integral methods and non-abelian bosonization techniques. We obtain a recursive equation for the critical dimensions, whose solution is in agreement with the operator approach results. We also discuss the application of this method to the linear sigma models.",

author = "A. Ceresole and A. Lerda and P. Pizzochero and \{Van Nieuwenhuizen\}, P.",

year = "1987",

month = apr,

day = "30",

doi = "10.1016/0370-2693(87)91265-2",

language = "English",

volume = "189",

pages = "34--38",

journal = "Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics",

issn = "0370-2693",

publisher = "Elsevier BV",

number = "1-2",

}

TY - JOUR

T1 - Critical dimensions for strungs on group-manifolds from path-integral methods

AU - Ceresole, A.

AU - Lerda, A.

AU - Pizzochero, P.

AU - Van Nieuwenhuizen, P.

PY - 1987/4/30

Y1 - 1987/4/30

N2 - We derive the critical dimensions of bosonic string on SO(N) group-manifolds for arbitrary level k, using path-integral methods and non-abelian bosonization techniques. We obtain a recursive equation for the critical dimensions, whose solution is in agreement with the operator approach results. We also discuss the application of this method to the linear sigma models.

AB - We derive the critical dimensions of bosonic string on SO(N) group-manifolds for arbitrary level k, using path-integral methods and non-abelian bosonization techniques. We obtain a recursive equation for the critical dimensions, whose solution is in agreement with the operator approach results. We also discuss the application of this method to the linear sigma models.

UR - https://www.scopus.com/pages/publications/45949125883

U2 - 10.1016/0370-2693(87)91265-2

DO - 10.1016/0370-2693(87)91265-2

M3 - Article

SN - 0370-2693

VL - 189

SP - 34

EP - 38

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

IS - 1-2

ER -

Critical dimensions for strungs on group-manifolds from path-integral methods

Abstract

Access to Document

Other files and links

Fingerprint

Cite this