# Bootstrapping Boundaries and Branes

@inproceedings{Collier2021BootstrappingBA, title={Bootstrapping Boundaries and Branes}, author={Scott Collier and Dalimil Maz{\'a}{\vc} and Yifan Wang}, year={2021} }

The study of conformal boundary conditions for two-dimensional conformal field theories (CFTs) has a long history, ranging from the description of impurities in one-dimensional quantum chains to the formulation of D-branes in string theory. Nevertheless, the landscape of conformal boundaries is largely unknown, including in rational CFTs, where the local operator data is completely determined. We initiate a systematic bootstrap study of conformal boundaries in 2d CFTs by investigating the…

## 14 Citations

### On the dynamics in the AdS/BCFT correspondence

- PhysicsJournal of High Energy Physics
- 2022

We consider a perturbation of the Einstein gravity with the Neumann boundary condition, which is regarded as an end of the world brane (ETW brane) of the AdS/BCFT correspondence, in the AdSd+1…

### Conformal dispersion relations for defects and boundaries

- Physics
- 2022

We derive a dispersion relation for two-point correlation functions in defect conformal ﬁeld theories. The correlator is expressed as an integral over a (single) discontinuity that is controlled by…

### Phases of Wilson Lines in Conformal Field Theories

- Physics
- 2022

We study the low-energy limit of Wilson lines (charged impurities) in conformal gauge theories in 2+1 and 3+1 dimensions. As a function of the representation of the Wilson line, certain defect…

### Sailing past the End of the World and discovering the Island

- PhysicsSciPost Physics
- 2022

Large black holes in anti-de Sitter space have positive specific heat and do not evaporate. In order to mimic the behavior of evaporating black holes, one may couple the system to an external bath.…

### Partial reduction and cosmology at defect brane

- PhysicsJournal of High Energy Physics
- 2022

Partial reduction is a Karch-Randall reduction for only part of the AdS region between finite tension brane and zero tension brane. This is interesting in AdS/BCFT where the AdS bulk contains a…

### BCFT in a black hole background: an analytical holographic model

- PhysicsJournal of High Energy Physics
- 2022

Abstract
We study the entanglement phase structure of a holographic boundary conformal field theory (BCFT) in a two-dimensional black hole background. The bulk dual is the AdS3 black string geometry…

### Analytic bootstrap for the localized magnetic field

- Physics
- 2022

We study the two-point function of local operators in the critical O ( N ) model in the presence of a magnetic ﬁeld localized on a line. We use a recently developed conformal dispersion relation to…

### Scalar modular bootstrap and zeros of the Riemann zeta function

- MathematicsJournal of High Energy Physics
- 2022

Using the technology of harmonic analysis, we derive a crossing equation that acts only on the scalar primary operators of any two-dimensional conformal field theory with U(1)c symmetry. From this…

### Entanglement phase structure of a holographic BCFT in a black hole background

- PhysicsJournal of High Energy Physics
- 2022

We compute holographic entanglement entropy for subregions of a BCFT thermal state living on a nongravitating black hole background. The system we consider is doubly holographic and dual to an…

### Spin impurities, Wilson lines and semiclassics

- PhysicsJournal of High Energy Physics
- 2022

We consider line defects with large quantum numbers in conformal field theories. First, we consider spin impurities, both for a free scalar triplet and in the Wilson-Fisher O(3) model. For the free…

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