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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2009, Volume 265, Pages 70–81 (Mi tm822)  
On Schnabl Solutions of String Field Equations

I. Ya. Aref'evaa, R. V. Gorbachevb, M. V. Mal'tsevc, P. B. Medvedev

a Steklov Mathematical Institute, Russian Academy of Sciences, Moscow, Russia
b Peoples' Friendship University of Russia, Moscow, Russia
c Moscow State University, Moscow, Russia
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Abstract: We clarify the relationship between Schnabl's solution and pure gauge configurations. Both Schnabl's and pure gauge solutions are obtained by means of an iterative procedure. We show that the pure gauge string field configuration that is used in the construction of a perturbation series for Schnabl's solution diverges on a large subspace of string configurations, but it can be rendered convergent by adding a compensating term. The additional term ensures the fulfillment of the equations of motion in a weak sense. This compensating term coincides with the term necessary for obtaining an action consistent with Sen's first conjecture.
Received in December 2008
English version:
Proceedings of the Steklov Institute of Mathematics, 2009, Volume 265, Pages 63–74
DOI: https://doi.org/10.1134/S0081543809020059
Bibliographic databases:
Document Type: Article
UDC: 514.824
Language: Russian
Citation: I. Ya. Aref'eva, R. V. Gorbachev, M. V. Mal'tsev, P. B. Medvedev, “On Schnabl Solutions of String Field Equations”, Selected topics of mathematical physics and $p$-adic analysis, Collected papers, Trudy Mat. Inst. Steklova, 265, MAIK Nauka/Interperiodica, Moscow, 2009, 70–81; Proc. Steklov Inst. Math., 265 (2009), 63–74
Citation in format AMSBIB
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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