Self-dual models with theta terms

Alfred Shapere; Frank Wilczek

doi:10.1016/0550-3213(89)90016-3

Self-dual models with theta terms

Alfred Shapere
, Frank Wilczek

Physics And Astronomy

Producción científica: Article › revisión exhaustiva

267 Citas (Scopus)

Resumen

There exists a large class of models which are self-dual with respect to inversion of coupling constants. When a theta term is added, this duality may be extended to an invariance under an action of an infinite discrete modular group on the coupling parameter space. In particular, four-dimensional abelian lattice gauge theories possess a Sp(2k, Z) modular symmetry, where k is the number of simple factors in the gauge group. We generalize this result to models of arbitrary dimension, and show that the partition functions of two-dimensional Z_N spin models with 2k flavors and string compactifications on k-dimensional tori are invariant under O(k, k; Z). We also draw some suggestive parallels to the fractional quantum Hall effect.

Idioma original	English
Páginas (desde-hasta)	669-695
Número de páginas	27
Publicación	Nuclear Physics B
Volumen	320
N.º	3
DOI	https://doi.org/10.1016/0550-3213(89)90016-3
Estado	Published - jul 10 1989

Nota bibliográfica

Funding Information:
We thank J. Cardy, B. Halperin, R. MacKenzie, and C. Vafa for helpful conversations. Special thanks go to V. P. Nair for his role in the early stages of this research. This work was supported in part by the Department of Energy under Grant. No. DE-AC02-76ERO-2220 and by the National Science Foundation under Grants No. PHY-87-14654 and PHY-82-17853, supplemented by funds from the National Aeronautics and Space Administration.

Financiación

We thank J. Cardy, B. Halperin, R. MacKenzie, and C. Vafa for helpful conversations. Special thanks go to V. P. Nair for his role in the early stages of this research. This work was supported in part by the Department of Energy under Grant. No. DE-AC02-76ERO-2220 and by the National Science Foundation under Grants No. PHY-87-14654 and PHY-82-17853, supplemented by funds from the National Aeronautics and Space Administration.

Financiadores	Número del financiador
Kentucky Energy and Environment Cabinet Department for Energy	DE-AC02-76ERO-2220
National Aeronautics and Space Administration
National Science Foundation (NSF)	PHY-87-14654, PHY-82-17853

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1016/0550-3213(89)90016-3

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title = "Self-dual models with theta terms",

abstract = "There exists a large class of models which are self-dual with respect to inversion of coupling constants. When a theta term is added, this duality may be extended to an invariance under an action of an infinite discrete modular group on the coupling parameter space. In particular, four-dimensional abelian lattice gauge theories possess a Sp(2k, Z) modular symmetry, where k is the number of simple factors in the gauge group. We generalize this result to models of arbitrary dimension, and show that the partition functions of two-dimensional ZN spin models with 2k flavors and string compactifications on k-dimensional tori are invariant under O(k, k; Z). We also draw some suggestive parallels to the fractional quantum Hall effect.",

author = "Alfred Shapere and Frank Wilczek",

note = "Funding Information: We thank J. Cardy, B. Halperin, R. MacKenzie, and C. Vafa for helpful conversations. Special thanks go to V. P. Nair for his role in the early stages of this research. This work was supported in part by the Department of Energy under Grant. No. DE-AC02-76ERO-2220 and by the National Science Foundation under Grants No. PHY-87-14654 and PHY-82-17853, supplemented by funds from the National Aeronautics and Space Administration.",

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N2 - There exists a large class of models which are self-dual with respect to inversion of coupling constants. When a theta term is added, this duality may be extended to an invariance under an action of an infinite discrete modular group on the coupling parameter space. In particular, four-dimensional abelian lattice gauge theories possess a Sp(2k, Z) modular symmetry, where k is the number of simple factors in the gauge group. We generalize this result to models of arbitrary dimension, and show that the partition functions of two-dimensional ZN spin models with 2k flavors and string compactifications on k-dimensional tori are invariant under O(k, k; Z). We also draw some suggestive parallels to the fractional quantum Hall effect.

AB - There exists a large class of models which are self-dual with respect to inversion of coupling constants. When a theta term is added, this duality may be extended to an invariance under an action of an infinite discrete modular group on the coupling parameter space. In particular, four-dimensional abelian lattice gauge theories possess a Sp(2k, Z) modular symmetry, where k is the number of simple factors in the gauge group. We generalize this result to models of arbitrary dimension, and show that the partition functions of two-dimensional ZN spin models with 2k flavors and string compactifications on k-dimensional tori are invariant under O(k, k; Z). We also draw some suggestive parallels to the fractional quantum Hall effect.

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Self-dual models with theta terms

Resumen

Nota bibliográfica

Financiación

ASJC Scopus subject areas

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