Yang-Baxter deformed wedge holography

TL;DR

This paper explores how homogeneous Yang-Baxter deformation affects wedge holography, revealing new island surfaces and enabling the calculation of the Page curve and holographic complexity without the DGP term.

Contribution

It demonstrates the role of Yang-Baxter deformation in generating non-trivial island surfaces and computing the Page curve in wedge holography without the DGP term.

Findings

Yang-Baxter deformation introduces non-trivial island surfaces.

The Page curve is obtained without the DGP term.

Holographic complexity is computed in deformed $AdS_2$ background.

Abstract

In this paper, we construct the wedge holography in the presence of homogeneous Yang-Baxter deformation. We observe that the DGP term is the reason for the existence of non-zero tension of the Karch-Randall branes in Yang-Baxter deformed wedge holography. The homogeneous Yang-Baxter deformation introduce non-trivial island surfaces inside the black hole horizon whose entanglement entropy is lower than the twice of thermal entropy of the black hole. Therefore, we obtain the Page curve even without the DGP term on the Karch-Randall branes due to the homogeneous Yang-Baxter deformation in the context of wedge holography. Finally, we compute the the holographic complexity in homogeneous Yang-Baxter deformed $AdS_2$ background.