Zobrazeno 1 - 10
of 48
pro vyhledávání: '"Copetti, Christian"'
We study properties of boundary conditions (BCs) in theories with categorical (or non-invertible) symmetries. We describe how the transformation properties, or (generalized) charges, of BCs are captured by topological BCs of Symmetry Topological Fiel
Externí odkaz:
http://arxiv.org/abs/2409.02166
We initiate the S-matrix bootstrap analysis of theories with non-invertible symmetries in (1+1) dimensions. Our previous work showed that crossing symmetry of S-matrices in such theories is modified, with modification characterized by the fusion cate
Externí odkaz:
http://arxiv.org/abs/2408.13132
We study gapless phases in (3+1)d in the presence of 1-form and non-invertible duality symmetries. Using the Symmetry Topological Field Theory (SymTFT) approach, we classify the gapless symmetry-protected (gSPT) phases in these setups, with particula
Externí odkaz:
http://arxiv.org/abs/2408.05585
Autor:
Copetti, Christian
We offer a streamlined and computationally powerful characterization of higher representations (higher charges) for defect operators under generalized symmetries, employing the powerful framework of Symmetry TFT $\mathcal{Z}(\mathcal{C})$. For a defe
Externí odkaz:
http://arxiv.org/abs/2408.01490
We show that crossing symmetry of S-matrices is modified in certain theories with non-invertible symmetries or anomalies. Focusing on integrable flows to gapped phases in two dimensions, we find that S-matrices derived previously from the bootstrap a
Externí odkaz:
http://arxiv.org/abs/2403.04835
Anti-de-Sitter space acts as an infra-red cut off for asymptotically free theories, allowing interpolation between a weakly-coupled small-sized regime and a strongly-coupled flat-space regime. We scrutinize the interpolation for theories in two dimen
Externí odkaz:
http://arxiv.org/abs/2312.09277
We study anomalies of non-invertible duality symmetries in both 2d and 4d, employing the tool of the Symmetry TFT. In the 2d case we rephrase the known obstruction theory for the Tambara-Yamagami fusion category in a way easily generalizable to highe
Externí odkaz:
http://arxiv.org/abs/2308.11707
A recent development in our understanding of the theory of quantum fields is the fact that familiar gauge theories in spacetime dimensions greater than two can have non-invertible symmetries generated by topological defects. The hallmark of these non
Externí odkaz:
http://arxiv.org/abs/2305.18282
Autor:
Damia, Jeremias Aguilera, Argurio, Riccardo, Benini, Francesco, Benvenuti, Sergio, Copetti, Christian, Tizzano, Luigi
Publikováno v:
JHEP 02 (2024) 084
We explore novel examples of RG flows preserving a non-invertible self-duality symmetry. Our main focus is on $\mathcal{N}=1$ quadratic superpotential deformations of 4d $\mathcal{N}=4$ super-Yang-Mills theory with gauge algebra $\mathfrak{su}(N)$. A
Externí odkaz:
http://arxiv.org/abs/2305.17084
We study generalizations of the non-invertible duality defects present in $\mathcal{N} = 4$ SU(N) SYM by studying theories with larger duality groups. We focus on 4d $\mathcal{N} = 2$ theories of class $\mathcal{S}$ obtained by the dimensional reduct
Externí odkaz:
http://arxiv.org/abs/2212.09549