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 Tr. Mat. Inst. Steklova, 2014, Volume 285, Pages 33–36 (Mi tm3541)

Holographic relation between $p$-adic effective action and string field theory

I. Ya. Aref'eva

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia

Abstract: We consider two holographically related theories. As the first $(d+1)$-dimensional theory, we consider a model in which the $(d+1)$-dimensional space is the direct product of $\mathbb R^d$ and the half-axis $\mathbb R_+$ and in which the kinetic operator has a nonlocal term induced by the nonlocal kinetic operator of the $p$-adic effective action. It turns out that the kinetic operator in the second, holographically related, $d$-dimensional theory is the kinetic operator of the string field theory effective action.

 Funding Agency Grant Number Russian Science Foundation 14-11-00687 This work was supported by the Russian Science Foundation, project no. 14-11-00687.

DOI: https://doi.org/10.1134/S0371968514020034

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English version:
Proceedings of the Steklov Institute of Mathematics, 2014, 285, 26–29

Bibliographic databases:

UDC: 517.958+530.145
Received in February 2014

Citation: I. Ya. Aref'eva, “Holographic relation between $p$-adic effective action and string field theory”, Selected topics of mathematical physics and analysis, Collected papers. In commemoration of the 90th anniversary of Academician Vasilii Sergeevich Vladimirov's birth, Tr. Mat. Inst. Steklova, 285, MAIK Nauka/Interperiodica, Moscow, 2014, 33–36; Proc. Steklov Inst. Math., 285 (2014), 26–29

Citation in format AMSBIB
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• http://mi.mathnet.ru/eng/tm3541
• https://doi.org/10.1134/S0371968514020034
• http://mi.mathnet.ru/eng/tm/v285/p33

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This publication is cited in the following articles:
1. I. Saberi, “Holography and local fields”, P-Adic Numbers Ultrametric Anal. Appl., 10:3 (2018), 151–165
2. J. A. R. Cembranos, S. E. R. Ciarreta, L. J. Garay, “Scale holography”, Eur. Phys. J. C, 78:9 (2018), 732
3. Ludkowski S.V., “Normed Dual Algebras”, Mathematics, 7:2 (2019), 174
4. Ludkowski S.V., “Structure of Normed Simple Annihilator Algebras”, Mathematics, 7:4 (2019), 347
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