Gauging the bulk: generalized gauging maps and holographic codes

نویسندگان

چکیده

Gauging is a general procedure for mapping quantum many-body system with global symmetry to one local gauge symmetry. We consider generalized gauging map that does not enforce at all lattice sites, and show it an isometry on the full input space including charged sectors. apply this convert global-symmetric bulk systems of holographic codes gauge-symmetric systems, vice versa, while preserving duality boundary. separately construct by directly imposing gauge-invariance constraints onto existing codes, resulting symmetries are dual boundary symmetries. Combining these ideas produces toy model captures several interesting features holography - exhibits rudimentary sort dynamical duality, can be modified demonstrate relationship between metric fluctuations approximate error-correction, serves as illustration certain no-go theorems concerning in holography. Finally, we arbitrary transversal gate sets any compact Lie group, use symmetry-preserving truncation scheme covariant finite-dimensional codes.

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ژورنال

عنوان ژورنال: Journal of High Energy Physics

سال: 2022

ISSN: ['1127-2236', '1126-6708', '1029-8479']

DOI: https://doi.org/10.1007/jhep05(2022)158