Prog. Theor. Phys. Vol. 80 No. 4 (1988) pp. 601-606

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Letters

Kac-Moody Symmetry in Hosotani Model

Kiyoshi Shiraishi^*

Department of Physics, Tokyo Metropolitan University, Tokyo 158

(Received May 6, 1988)

Abstract:

The symmetry of the massive tower of fields in higher-dimensional Yang-Mills theory compactified on a space-time of the form M_d × S¹ is clarified. The transformations form a loop algebra, a class of Kac-Moody algebras. Since the symmetry is spontaneously broken, vector fields “eat” Goldstone bosons and acquire masses. The field of zero-mass mode can also become massive provided that the field of the internal component develops a vacuum expectation value. The relation between the “restoration” of the symmetry in massive modes and the gauge transformation of the zero-mode vacuum field is discussed.

URL : http://ptp.ipap.jp/link?PTP/80/601/
DOI : 10.1143/PTP.80.601

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Citing Article(s) :

Progress of Theoretical Physics Vol. 84 No. 6 (1990) pp. 1100-1107 :
Phase Transition and String Formation in Six-Dimensional Gauge Theory

Atsushi Nakamura and Kiyoshi Shiraishi