Holographic relation between $p$-adic effective action and string field theory
Informatics and Automation, Selected topics of mathematical physics and analysis, Tome 285 (2014), pp. 33-36.

Voir la notice de l'article provenant de la source Math-Net.Ru

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.
@article{TRSPY_2014_285_a2,
     author = {I. Ya. Aref'eva},
     title = {Holographic relation between $p$-adic effective action and string field theory},
     journal = {Informatics and Automation},
     pages = {33--36},
     publisher = {mathdoc},
     volume = {285},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TRSPY_2014_285_a2/}
}
TY  - JOUR
AU  - I. Ya. Aref'eva
TI  - Holographic relation between $p$-adic effective action and string field theory
JO  - Informatics and Automation
PY  - 2014
SP  - 33
EP  - 36
VL  - 285
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TRSPY_2014_285_a2/
LA  - ru
ID  - TRSPY_2014_285_a2
ER  - 
%0 Journal Article
%A I. Ya. Aref'eva
%T Holographic relation between $p$-adic effective action and string field theory
%J Informatics and Automation
%D 2014
%P 33-36
%V 285
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TRSPY_2014_285_a2/
%G ru
%F TRSPY_2014_285_a2
I. Ya. Aref'eva. Holographic relation between $p$-adic effective action and string field theory. Informatics and Automation, Selected topics of mathematical physics and analysis, Tome 285 (2014), pp. 33-36. http://geodesic.mathdoc.fr/item/TRSPY_2014_285_a2/

[1] Aref'eva I., “Holography for quark–gluon plasma formation in heavy ion collisions”, Proc. Sci. 2012. ICMP, 2012, 025

[2] Vladimirov V.S., Volovich I.V., Zelenov E.I., $p$-Adicheskii analiz i matematicheskaya fizika, Nauka, M., 1994 | MR

[3] Arefeva I.Ya., Belov D.M., Giryavets A.A., Koshelev A.S., Medvedev P.B., “Noncommutative field theories and (super)string field theories”, Particles and fields, Proc. XI Jorge André Swieca Summer School, São Paulo, 2001, World Sci., Singapore, 2002, 1–163, arXiv: hep-th/0111208 | MR

[4] Maldacena J., “The large $N$ limit of superconformal field theories and supergravity”, Adv. Theor. Math. Phys., 2:2 (1998), 231–252, arXiv: hep-th/9711200 | MR | Zbl

[5] Gubser S.S., Klebanov I.R., Polyakov A.M., “Gauge theory correlators from non-critical string theory”, Phys. Lett. B, 428 (1998), 105–114, arXiv: hep-th/9802109 | DOI | MR

[6] Witten E., “Anti de Sitter space and holography”, Adv. Theor. Math. Phys., 2:2 (1998), 253–291, arXiv: hep-th/9802150 | MR | Zbl

[7] Casalderrey-Solana J., Liu H., Mateos D., Rajagopal K., Wiedemann U.A., Gauge/string duality, hot QCD and heavy ion collisions, E-print, 2011, arXiv: 1101.0618 [hep-th]

[8] Aref'eva I.Ya., Volovich I.V., On large $N$ conformal theories, field theories in anti-de Sitter space and singletons, E-print, 1998, arXiv: hep-th/9803028

[9] Hawking S.W., Ellis G.F.R., The large scale structure of space–time, Cambridge Univ. Press, London, 1973 | MR | Zbl

[10] Aref'eva I.Ya., Volovich I.V., “Breaking of conformal symmetry in the AdS/CFT correspondence”, Phys. Lett. B, 433 (1998), 49–55, arXiv: hep-th/9804182 | DOI | MR

[11] Dragovich B., Khrennikov A.Yu., Kozyrev S.V., Volovich I.V., “On $p$-adic mathematical physics”, p-Adic Numbers Ultrametric Anal. Appl., 1:1 (2009), 1–17 | DOI | MR | Zbl

[12] Vladimirov V.S., Volovich Ya.I., “O nelineinom uravnenii dinamiki v teorii $p$-adicheskoi struny”, TMF, 138:3 (2004), 355–368, arXiv: math-ph/0306018 | DOI | MR | Zbl

[13] Aref'eva I.Ya., “Nonlocal string tachyon as a model for cosmological dark energy”, $p$-Adic mathematical physics, AIP Conf. Proc., 826, Amer. Inst. Phys., Melville, 2006, 301–311, arXiv: astro-ph/0410443 | DOI | MR | Zbl

[14] Aref'eva I., “Puzzles with tachyon in SSFT and cosmological applications”, Prog. Theor. Phys. Suppl., 188 (2011), 29–40, arXiv: 1101.5338 [hep-th] | DOI | MR | Zbl

[15] Aref'eva I.Ya., Volovich I.V., “Cosmological daemon”, J. High Energy Phys., 2011, no. 8, 102, arXiv: 1103.0273 [hep-th] | DOI