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In this paper, we initiate our program to classify conformal fluid boundary conditions, by utilizing the fluid/gravity correspondence in the AdS/BCFT correspondence. The AdS/BCFT correspondence is a conjectured duality between a quantum…

High Energy Physics - Theory · Physics 2025-07-22 Tomohito Shiga , Kenta Suzuki

We develop an analytic approach to Boundary Conformal Field Theory (BCFT), focussing on the two-point function of a general pair of scalar primary operators. The resulting crossing equation can be thought of as a vector equation in an…

High Energy Physics - Theory · Physics 2020-01-29 Dalimil Mazáč , Leonardo Rastelli , Xinan Zhou

Conformal field theories (CFTs) with cubic global symmetry in 3D are relevant in a variety of condensed matter systems and have been studied extensively with the use of perturbative methods like the $\varepsilon$ expansion. In an earlier…

High Energy Physics - Theory · Physics 2020-06-10 Stefanos R. Kousvos , Andreas Stergiou

We initiate a conformal bootstrap program to study AdS3/BCFT2 with heavy excitations. We start by solving the bootstrap equations associated with two-point functions of scalar/non-scalar primaries under the assumption that one-point…

High Energy Physics - Theory · Physics 2023-01-26 Yuya Kusuki , Zixia Wei

We develop the notion of double holography in Type IIB string theory realizations of braneworld models. The Type IIB setups are based on the holographic duals of 4d BCFTs comprising 4d $\mathcal N=4$ SYM on a half space coupled to 3d…

High Energy Physics - Theory · Physics 2022-10-19 Andreas Karch , Haoyu Sun , Christoph F. Uhlemann

Motivated by applications to critical phenomena and open theoretical questions, we study conformal field theories with $O(m)\times O(n)$ global symmetry in $d=3$ spacetime dimensions. We use both analytic and numerical bootstrap techniques.…

High Energy Physics - Theory · Physics 2020-12-10 Johan Henriksson , Stefanos R. Kousvos , Andreas Stergiou

Boundary conformal field theory (BCFT) provides a universal framework for critical phenomena in the presence of boundaries. We determine BCFT data for the normal and ordinary boundary universality classes of the $1+1$-dimensional boundaries…

Strongly Correlated Electrons · Physics 2026-04-24 Jiechao Feng , Taige Wang

The interpretation of semiclassical gravity as an ensemble-average of CFTs has provided much progress in understanding the factorization problem and the information paradox. In this article, we consider an averaging over boundary conditions…

High Energy Physics - Theory · Physics 2022-10-05 Yuya Kusuki

Conformal field theories (CFTs) with MN and tetragonal global symmetry in $d=2+1$ dimensions are relevant for structural, antiferromagnetic and helimagnetic phase transitions in a wide class of materials. The study of these theories with…

High Energy Physics - Theory · Physics 2020-11-23 Andreas Stergiou

We propose a bootstrap program for CFTs near intersecting boundaries which form a co-dimension 2 edge. We describe the kinematical setup and show that bulk 1-pt functions and bulk-edge 2-pt functions depend on a non-trivial cross-ratio and…

High Energy Physics - Theory · Physics 2021-10-27 António Antunes

We extend the holographic duality between 3d pure gravity and the 2d Ising CFT proposed in [Phys. Rev. D 85 (2012) 024032] to CFTs with boundaries. Besides the usual asymptotic boundary, the dual bulk spacetime now has a real cutoff, on…

High Energy Physics - Theory · Physics 2021-06-08 Andreas Karch , Zhu-Xi Luo , Hao-Yu Sun

We study analytically the constraints of the conformal bootstrap on the low-lying spectrum of operators in field theories with global conformal symmetry in one and two spacetime dimensions. We introduce a new class of linear functionals…

High Energy Physics - Theory · Physics 2017-05-24 Dalimil Mazac

This work explores holographic correlators within the frameworks of two-dimensional Boundary Conformal Field Theory (BCFT) and Crosscap Conformal Field Theory (XCFT). Utilizing the AdS/CFT correspondence, we compute stress tensor…

High Energy Physics - Theory · Physics 2025-03-13 Yun-Ze Li , Yunfei Xie , Song He

In this paper, we propose a new gravity dual for a $2$d BCFT with two conformal boundaries by introducing a defect that connects the two End-of-the-World branes. We demonstrate that the BCFT dual to this bulk model exhibits a richer lowest…

High Energy Physics - Theory · Physics 2022-12-01 Masamichi Miyaji , Chitraang Murdia

We consider a holographic dual model for defect conformal field theories (DCFT) in which we include the backreaction of the defect on the dual geometry. In particular, we consider a dual gravity system in which a two-dimensional…

High Energy Physics - Theory · Physics 2016-02-05 Johanna Erdmenger , Mario Flory , Max-Niklas Newrzella

Defect conformal field theories (dCFTs) have been attracting increased attention recently, mainly because they enable us to bridge the gap between idealistic, highly symmetric models of our world (such as the particle/string duality) and…

High Energy Physics - Theory · Physics 2020-08-20 Georgios Linardopoulos

We propose a holographic duality for the boundary Lifshitz field theory (BLFT). Similar to holographic BCFT, holographic BLFT can be consistently defined by imposing either a Neumann boundary condition (NBC) or a conformal boundary…

High Energy Physics - Theory · Physics 2024-12-02 Chong-Sun Chu , Ignacio Garrido Gonzalez , Himanshu Parihar

We study the AdS/BCFT duality between two-dimensional conformal field theories with two boundaries and three-dimensional anti-de Sitter space with two Karch-Randall branes. We compute the entanglement entropy of a bipartition of the BCFT,…

High Energy Physics - Theory · Physics 2021-08-11 Hao Geng , Severin Lüst , Rashmish K. Mishra , David Wakeham

We introduce the notion of higher Berry connection and curvature in the space of conformal boundary conditions in (1+1)d conformal field theories (CFT), related to each other by exactly marginal boundary deformations, forming a "boundary…

High Energy Physics - Theory · Physics 2025-07-18 Yichul Choi , Hyunsoo Ha , Dongyeob Kim , Yuya Kusuki , Shuhei Ohyama , Shinsei Ryu

We introduce a new approach to the study of the crossing equation for CFTs in the presence of a boundary. We argue that there is a basis for this equation related to the generalized free field solution. The dual basis is a set of linear…

High Energy Physics - Theory · Physics 2019-11-25 Apratim Kaviraj , Miguel F. Paulos