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In frames of dS/CFT correspondence suggested by Strominger we calculate holographic conformal anomaly for dual euclidean CFT. The holographic renormalization group method is used for this purpose. It is explicitly demonstrated that…

High Energy Physics - Theory · Physics 2008-11-26 S. Nojiri , S. D. Odintsov

The celebrated holographic duality posits a correspondence between a quantum gravity in a bulk spacetime and a quantum field theory (QFT) defined on its lower-dimensional boundary. This duality not only offers deep insights into the…

Using holographic entanglement entropy for strip geometry, we construct a candidate for a c-function in arbitrary dimensions. For holographic theories dual to Einstein gravity, this c-function is shown to decrease monotonically along RG…

High Energy Physics - Theory · Physics 2015-06-04 Robert C. Myers , Ajay Singh

We study solvable spin chains, one-dimensional massless Dirac fermions, and conformal field theories (CFTs) with sine-square deformation (SSD), in which the Hamiltonian density is modulated by the function $f(x)=\sin^2 (\pi x/\ell)$, where…

Statistical Mechanics · Physics 2015-03-19 Hosho Katsura

The central charge $C_T$ is computed for scalar and Dirac fields propagating according to GJMS-type kinetic operators acting on odd $d$-dimensional spheres in the presence of a spherical monodromy. The relation of $C_T$ to the derivatives…

High Energy Physics - Theory · Physics 2022-03-02 J. S. Dowker

Computing the Euclidean spacetime action on-shell provides a useful way of both testing holographic proposals and determining the string theory sphere partition function. We consider families of three-dimensional linear dilaton spacetimes…

High Energy Physics - Theory · Physics 2025-09-03 Andrea Dei , Kiarash Naderi , Savdeep Sethi

In the talk, the relationship between black holes in Jackiw-Teitelboim(JT) dilaton gravity and solitons in sine-Gordon field theory is described. The well-known connection between solutions of the sine-Gordon equation and constant curvature…

High Energy Physics - Theory · Physics 2008-02-03 J. Gegenberg , G. Kunstatter

We study matter with central charge $c >1$ coupled to two-dimensional (2d) quantum gravity, here represented as causal dynamical triangulations (CDT). 2d CDT is known to provide a regularization of (Euclidean) 2d Ho\v{r}ava-Lifshitz quantum…

General Relativity and Quantum Cosmology · Physics 2015-04-15 Jan Ambjørn , Andrzej Görlich , Jerzy Jurkiewicz , Hongguang Zhang

Analytical investigation of the properties of $s$-wave holographic superconductors in the background of a massive gravity theory in the probe limit has been carried out employing the Sturm-Liouville eigenvalue method . We obtain the…

High Energy Physics - Theory · Physics 2023-05-03 Diganta Parai , Suchetana Pal , Sunandan Gangopadhyay

The three-dimensional pure quantum gravity with a negative cosmological constant has been conjectured to be dual to an extremal conformal field theory (ECFT), of central charge c=24k for some positive integer k. We compute the partition…

High Energy Physics - Theory · Physics 2008-05-30 Xi Yin

The partition function of the two-dimensional Ising model is exactly obtained on a lattice with a twisted boundary condition. The continuum limit of the model off the critical temperature is found to give the mass-deformed Ising conformal…

High Energy Physics - Theory · Physics 2016-02-10 So Matsuura , Norisuke Sakai

We investigate four-dimensional near-conformal dynamics by means of the large-charge limit. We first introduce and justify the formalism in which near-conformal invariance is insured by adding a dilaton and then determine the large-charge…

High Energy Physics - Theory · Physics 2020-04-01 Domenico Orlando , Susanne Reffert , Francesco Sannino

We conjecture an expression for the Liouville theory conformal blocks and correlation functions on a Riemann surface of genus g and n punctures as the Nekrasov partition function of a certain class of N=2 SCFTs recently defined by one of…

High Energy Physics - Theory · Physics 2010-02-11 Luis F. Alday , Davide Gaiotto , Yuji Tachikawa

The usual derivative expansion of gravity duals of charged fluid dynamics is known to break down in the zero temperature limit. In this case, the fluid-gravity duality is not understood precisely. We explore this problem for a zero…

High Energy Physics - Theory · Physics 2012-04-03 Jae-Hyuk Oh

The continuum (Liouville) approach to the two-dimensional (2-D) quantum gravity is reviewed with particular attention to the $c=1$ conformal matter coupling, and new results on a related problem of dilaton gravity are reported. After…

High Energy Physics - Theory · Physics 2009-10-22 Norisuke Sakai

We compute exactly the partition function of two dimensional N=(2,2) gauge theories on S^2 and show that it admits two dual descriptions: either as an integral over the Coulomb branch or as a sum over vortex and anti-vortex excitations on…

High Energy Physics - Theory · Physics 2017-01-04 Nima Doroud , Jaume Gomis , Bruno Le Floch , Sungjay Lee

For quantum field theories that flow between ultraviolet and infrared fixed points, central functions, defined from two-point correlators of the stress tensor and conserved currents, interpolate between central charges of the UV and IR…

High Energy Physics - Theory · Physics 2009-10-08 D. Anselmi , D. Z. Freedman , M. T. Grisaru , A. A. Johansen

We examine the black hole solutions of dS$_3$ gravity by applying the explicit dS$_3$/CFT$_2$ correspondence. The gravity theory is described by Chern-Simons theory with complex gauge group SL$(2,\mathbb{C})$, and the complexified theory is…

High Energy Physics - Theory · Physics 2023-08-31 Heng-Yu Chen , Yasuaki Hikida , Yusuke Taki , Takahiro Uetoko

Recent advances in the off-shell formulation of the Double Copy (DC) procedure have revealed a profound connection between gauge theories and T-duality invariant frameworks. The main example is Double Field Theory (DFT), emerging as the the…

High Energy Physics - Theory · Physics 2025-11-25 Eric Lescano , Jesús A. Rodríguez

Using a C-metric-type ansatz, we obtain an exact solution to conformal gravity coupled to a Maxwell electromagnetic field. The solution resembles a C-metric spacetime carrying an electromagnetic charge. The metric is cast in a factorised…

General Relativity and Quantum Cosmology · Physics 2016-04-27 Yen-Kheng Lim