Unification of the general non-linear sigma model and the Virasoro master equation

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The Virasoro master equation describes a large set of conformal field theories known as the affine-Virasoro constructions, in the operator algebra (affinie Lie algebra) of the WZW model, while the einstein equations of the general non-linear sigma model describe another large set of conformal field theories. This talk summarizes recent work which unifies these two sets of conformal field theories, together with a presumable large class of new conformal field theories. The basic idea is to consider spin-two operators of the form L{sub ij}{partial_derivative}x{sup i}{partial_derivative}x{sup j} in the background of a general sigma model. The requirement that these operators satisfy ... continued below

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19 p.

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Boer, J. de & Halpern, M.B. June 1, 1997.

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The Virasoro master equation describes a large set of conformal field theories known as the affine-Virasoro constructions, in the operator algebra (affinie Lie algebra) of the WZW model, while the einstein equations of the general non-linear sigma model describe another large set of conformal field theories. This talk summarizes recent work which unifies these two sets of conformal field theories, together with a presumable large class of new conformal field theories. The basic idea is to consider spin-two operators of the form L{sub ij}{partial_derivative}x{sup i}{partial_derivative}x{sup j} in the background of a general sigma model. The requirement that these operators satisfy the Virasoro algebra leads to a set of equations called the unified Einstein-Virasoro master equation, in which the spin-two spacetime field L{sub ij} cuples to the usual spacetime fields of the sigma model. The one-loop form of this unified system is presented, and some of its algebraic and geometric properties are discussed.

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19 p.

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INIS; OSTI as DE98058247

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  • NATO workshop on new developments in quantum field theory, Zakopane (Poland), 14-20 Jun 1997

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  • Other: DE98058247
  • Report No.: LBNL--40648
  • Report No.: CONF-9706270--
  • Grant Number: AC03-76SF00098
  • Office of Scientific & Technical Information Report Number: 674714
  • Archival Resource Key: ark:/67531/metadc711903

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Reports, articles and other documents harvested from the Office of Scientific and Technical Information.

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  • June 1, 1997

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  • Sept. 12, 2015, 6:31 a.m.

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  • Jan. 19, 2018, 2 p.m.

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Boer, J. de & Halpern, M.B. Unification of the general non-linear sigma model and the Virasoro master equation, article, June 1, 1997; Berkeley, California. (digital.library.unt.edu/ark:/67531/metadc711903/: accessed June 17, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.