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Gauging symmetries of Narain CFTs
Keiichi Ando, Kohki Kawabata, Tatsuma Nishioka
We investigate the gauging of a symmetry in lattice conformal field theories (CFTs), also known as Narain CFTs. For prime , we derive a spin selection rule for op…
Fermionic CFTs from topological boundaries in abelian Chern-Simons theories
Kohki Kawabata, Tatsuma Nishioka, Takuya Okuda +1
A quantum field theory is referred to as bosonic (non-spin) if its physical quantities are independent of the spacetime spin structure, and as fermionic (spin) if they depend on it…
Localized RG flows on composite defects and -theorem
Dongsheng Ge, Tatsuma Nishioka, Soichiro Shimamori
We consider a composite defect system where a lower-dimensional defect (sub-defect) is embedded to a higher-dimensional one, and examine renormalization group (RG) flows localized…
Quantum subsystem codes, CFTs and their -gaugings
Keiichi Ando, Kohki Kawabata, Tatsuma Nishioka
We construct Narain conformal field theories (CFTs) from quantum subsystem codes, a more comprehensive class of quantum error-correcting codes than quantum stabilizer codes, for qu…
Entanglement Rényi entropy and boson-fermion duality in massless Thirring model
Harunobu Fujimura, Tatsuma Nishioka, Soichiro Shimamori
We investigate the second Rényi entropy of two intervals in the massless Thirring model describing a self-interacting Dirac fermion in two dimensions. Boson-fermion duality relatin…
Supersymmetric conformal field theories from quantum stabilizer codes
Kohki Kawabata, Tatsuma Nishioka, Takuya Okuda
We construct fermionic conformal field theories (CFTs) whose spectra are characterized by quantum stabilizer codes. We exploit our construction to search for fermionic CFTs with su…
Narain CFTs from quantum codes and their gauging
Kohki Kawabata, Tatsuma Nishioka, Takuya Okuda
We investigate the gauging of a symmetry in Narain conformal field theories (CFTs) constructed from qudit stabilizer codes. Considering both orbifold and fermionizat…
Narain CFTs from nonbinary stabilizer codes
Yasin Ferdous Alam, Kohki Kawabata, Tatsuma Nishioka +2
We generalize the construction of Narain conformal field theories (CFTs) from qudit stabilizer codes to the construction from quantum stabilizer codes over the finite field of prim…
The epsilon expansion of the O model with line defect from conformal field theory
Tatsuma Nishioka, Yoshitaka Okuyama, Soichiro Shimamori
We employ the axiomatic framework of Rychkov and Tan to investigate the critical O vector model with a line defect in dimensions. We assume the fixed point is describe…
Narain CFTs from qudit stabilizer codes
Kohki Kawabata, Tatsuma Nishioka, Takuya Okuda
We construct a discrete subset of Narain CFTs from quantum stabilizer codes with qudit (including qubit) systems whose dimension is a prime number. Our construction exploits three…
Comments on epsilon expansion of the O model with boundary
Tatsuma Nishioka, Yoshitaka Okuyama, Soichiro Shimamori
The O vector model in the presence of a boundary has a non-trivial fixed point in dimensions and exhibits critical behaviors described by boundary conformal field theo…
Method of images in defect conformal field theories
Tatsuma Nishioka, Yoshitaka Okuyama, Soichiro Shimamori
We propose a prescription for describing correlation functions in higher-dimensional defect conformal field theories (DCFTs) by those in ancillary conformal field theories (CFTs) w…
CFT duals of three-dimensional de Sitter gravity
Yasuaki Hikida, Tatsuma Nishioka, Tadashi Takayanagi +1
We present a class of dS/CFT correspondence between two-dimensional CFTs and three-dimensional de Sitter spaces. We argue that such a CFT includes an SU WZW model in the criti…
Holography in de Sitter Space via Chern-Simons Gauge Theory
Yasuaki Hikida, Tatsuma Nishioka, Tadashi Takayanagi +1
In this paper we propose a holographic duality for classical gravity on a three-dimensional de Sitter space. We first show that a pair of SU Chern-Simons gauge theories reprod…
Topological pseudo entropy
Tatsuma Nishioka, Tadashi Takayanagi, Yusuke Taki
We introduce a pseudo entropy extension of topological entanglement entropy called topological pseudo entropy. Various examples of the topological pseudo entropies are examined in…
Replica wormholes and capacity of entanglement
Kohki Kawabata, Tatsuma Nishioka, Yoshitaka Okuyama +1
We consider the capacity of entanglement as a probe of the Hawking radiation in a two-dimensional dilaton gravity coupled with conformal matter of large degrees of freedom. A formu…
Probing Hawking radiation through capacity of entanglement
Kohki Kawabata, Tatsuma Nishioka, Yoshitaka Okuyama +1
We consider the capacity of entanglement in models related with the gravitational phase transitions. The capacity is labeled by the replica parameter which plays a similar role to…
Free energy and defect -theorem in free scalar theory
Tatsuma Nishioka, Yoshiki Sato
We describe conformal defects of dimensions in a free scalar theory on a -dimensional flat space as boundary conditions on the conformally flat space $\mathbb{H}^{p+1}\times…
Janus interface entropy and Calabi's diastasis in four-dimensional superconformal field theories
Kanato Goto, Lento Nagano, Tatsuma Nishioka +1
We study the entropy associated with the Janus interface in a 4 superconformal field theory. With the entropy defined as the interface contribution to an entangl…
Regge OPE blocks and light-ray operators
Nozomu Kobayashi, Tatsuma Nishioka, Yoshitaka Okuyama
We consider the structure of the operator product expansion (OPE) in conformal field theory by employing the OPE block formalism. The OPE block acted on the vacuum is promoted to a…
The gravity dual of Lorentzian OPE blocks
Heng-Yu Chen, Lung-Chuan Chen, Nozomu Kobayashi +1
We consider the operator product expansion (OPE) structure of scalar primary operators in a generic Lorentzian CFT and its dual description in a gravitational theory with one extra…
Towards a -theorem in defect CFT
Nozomu Kobayashi, Tatsuma Nishioka, Yoshiki Sato +1
We explore a -theorem in defect conformal field theories (DCFTs) that unify all the known conjectures and theorems until now. We examine as a candidate -function the addition…
Spinning conformal defects
Nozomu Kobayashi, Tatsuma Nishioka
We consider conformal defects with spins under the rotation group acting on the transverse directions. They are described in the embedding space formalism in a similar manner to sp…
Entanglement entropy: holography and renormalization group
Tatsuma Nishioka
Entanglement entropy plays a variety of roles in quantum field theory, including the connections between quantum states and gravitation through the holographic principle. This arti…