Note on massless bosonic states in two-dimensional field theories

Hidenori Fukaya; Masashi Hayakawa; Issaku Kanamori; Hiroshi Suzuki; Tomohisa Takimi

doi:10.1143/PTP.116.1117

Note on massless bosonic states in two-dimensional field theories

Hidenori Fukaya, Masashi Hayakawa, Issaku Kanamori, Hiroshi Suzuki, Tomohisa Takimi

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

14 Citations (Scopus)

Abstract

In a wide class of G_L × G_R invariant two-dimensional super-renormalizable field theories, the parity-odd part of the two-point function of global currents is completely determined by a fermion one-loop diagram. For any non-trivial fermion content, the two-point function possesses a massless pole which corresponds to massless bosonic physical states. As an application, we show that two-dimensional N= (2,2) supersymmetric gauge theory without a superpotential possesses U (1)_L × U(1) _R symmetry and contains one massless bosonic state per fixed spatial momentum. The N = (4,4) supersymmetric pure Yang-Mills theory possesses SU(2)_L × SU(2)_R symmetry, and there exist at least three massless bosonic states.

Original language	English
Pages (from-to)	1117-1129
Number of pages	13
Journal	Progress of Theoretical Physics
Volume	116
Issue number	6
DOIs	https://doi.org/10.1143/PTP.116.1117
Publication status	Published - Dec 2006
Externally published	Yes

All Science Journal Classification (ASJC) codes

Physics and Astronomy (miscellaneous)

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10.1143/PTP.116.1117

Cite this

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title = "Note on massless bosonic states in two-dimensional field theories",

abstract = "In a wide class of GL × GR invariant two-dimensional super-renormalizable field theories, the parity-odd part of the two-point function of global currents is completely determined by a fermion one-loop diagram. For any non-trivial fermion content, the two-point function possesses a massless pole which corresponds to massless bosonic physical states. As an application, we show that two-dimensional N= (2,2) supersymmetric gauge theory without a superpotential possesses U (1)L × U(1) R symmetry and contains one massless bosonic state per fixed spatial momentum. The N = (4,4) supersymmetric pure Yang-Mills theory possesses SU(2)L × SU(2)R symmetry, and there exist at least three massless bosonic states.",

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T1 - Note on massless bosonic states in two-dimensional field theories

AU - Fukaya, Hidenori

AU - Hayakawa, Masashi

AU - Kanamori, Issaku

AU - Suzuki, Hiroshi

AU - Takimi, Tomohisa

PY - 2006/12

Y1 - 2006/12

N2 - In a wide class of GL × GR invariant two-dimensional super-renormalizable field theories, the parity-odd part of the two-point function of global currents is completely determined by a fermion one-loop diagram. For any non-trivial fermion content, the two-point function possesses a massless pole which corresponds to massless bosonic physical states. As an application, we show that two-dimensional N= (2,2) supersymmetric gauge theory without a superpotential possesses U (1)L × U(1) R symmetry and contains one massless bosonic state per fixed spatial momentum. The N = (4,4) supersymmetric pure Yang-Mills theory possesses SU(2)L × SU(2)R symmetry, and there exist at least three massless bosonic states.

AB - In a wide class of GL × GR invariant two-dimensional super-renormalizable field theories, the parity-odd part of the two-point function of global currents is completely determined by a fermion one-loop diagram. For any non-trivial fermion content, the two-point function possesses a massless pole which corresponds to massless bosonic physical states. As an application, we show that two-dimensional N= (2,2) supersymmetric gauge theory without a superpotential possesses U (1)L × U(1) R symmetry and contains one massless bosonic state per fixed spatial momentum. The N = (4,4) supersymmetric pure Yang-Mills theory possesses SU(2)L × SU(2)R symmetry, and there exist at least three massless bosonic states.

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Note on massless bosonic states in two-dimensional field theories

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