The seminar's theme will continue the topics of previous semesters. The main focus will be the construction of a class of holographic QCD models with possibility of adaptation to new experimental data and the latest lattice results. In addition, the possibility of constructing quantum gravity using the AdS/CFT correspondence will be discussed.

I.
Special attention will be paid to constructing a whole class of holographic QCD models [A-UFN, IA-MGU] with possible adaptation to new collider experimental data and the latest lattice results [LD]. The parameters of the equation of state in the constructed holographic models will be analyzed.

One can read about the construction of holographic models, capable of describing phase transitions in QCD and the formation of quark-gluon plasma, in the reviews [A-UFN] and recent reports [IA].

[A-UFN] I.Ya. Aref'eva, Holographic description of quark-gluon plasma formed in heavy-ion collisions // Phys. Usp., 184:6 (2014), pp. 569-598.
[IA-MGU] I.Y. Aref'eva, Holography for heavy ions collisions // Moscow University Physics Bulletin, 79 (2024), p. 533-542.
[LD] S. Borsanyi, Z. Fodor, J.N. Guenther, P. Parotto, A. Pasztor, C. Ratti, V. Vovchenko and C.H. Wong, Lattice QCD constraints on the critical point from an improved precision equation of state // arXiv:2502.10267.

An essential new feature of our constructions will be the use of neural networks. This possibility is already being utilized in the literature [CH, MH]. We will focus on constructing models with characteristic behavior of the equation of state parameters.

[CH] X. Chen, M. Huang, Flavor dependent critical endpoint from holographic QCD through machine learning // JHEP 02 (2025), 123, arXiv:2405.06179.
[MH] H.A. Zeng, L. Wang and M. Huang, HoloNet: Toward a Unified Einstein-Maxwell-Dilaton Framework of QCD // arXiv:2512.06044.

II.
The possibility of quantum gravity construction via the AdS/CFT correspondence will be discussed. In this context, a discussion of the 1/D expansion in gravity is envisaged [Emp].

[Emp] R. Emparan, J. Rafecas-Ventosa and B. Way, General Effective Theories of Black Holes in the Large D Limit // arXiv:2512.14186.

Please, address Aleksandr Polevov, avpolevov@mi-ras.ru, for Kontur.Talk data.

Seminar organizer
Aref'eva Irina Yaroslavna

Financial support
The seminar is supported by the Ministry of Science and Higher Education of the Russian Federation (the grant to the Steklov International Mathematical Center, agreement no. 075-15-2025-303).

Institutions
Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
Steklov International Mathematical Center