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3 results on '"Auzzi R."'

1. On subregion action complexity in AdS_3 and in the BTZ black hole

Author

Auzzi, R, Baiguera, S, Legramandi, A, Nardelli, G, Roy, P, Zenoni, N, Auzzi, R, Baiguera, S, Legramandi, A, Nardelli, G, Roy, P, and Zenoni, N

Abstract

We analytically compute subsystem action complexity for a segment in the BTZ black hole background up to the finite term, and we find that it is equal to the sum of a linearly divergent term proportional to the size of the subregion and of a term proportional to the entanglement entropy. This elegant structure does not survive to more complicated geometries: in the case of a two segments subregion in AdS_3, complexity has additional finite contributions. We give analytic results for the mutual action complexity of a two segments subregion.

Published
2020

2. On Newton-Cartan local renormalization group and anomalies

Author

Auzzi, R, Baiguera, S, Filippini, F, Nardelli, G, Auzzi R., Baiguera S., Filippini F., Nardelli G., Auzzi, R, Baiguera, S, Filippini, F, Nardelli, G, Auzzi R., Baiguera S., Filippini F., and Nardelli G.

Abstract

Weyl consistency conditions are a powerful tool to study the irreversibility properties of the renormalization group. We apply this formalism to non-relativistic theories in 2 spatial dimensions with boost invariance and dynamical exponent z = 2. Different possibilities are explored, depending on the structure of the gravitational background used as a source for the energy-momentum tensor.

Published
2016

3. On subregion action complexity in AdS_3 and in the BTZ black hole

Author

Giuseppe Nardelli, Andrea Legramandi, Stefano Baiguera, Pratim Roy, Roberto Auzzi, Nicolo Zenoni, Auzzi, R, Baiguera, S, Legramandi, A, Nardelli, G, Roy, P, and Zenoni, N

Subjects
Physics, High Energy Physics - Theory, Nuclear and High Energy Physics, Black Holes, AdS/CFT correspondence, 010308 nuclear & particles physics, Mathematical analysis, FOS: Physical sciences, Quantum entanglement, BTZ, complexity, subregion, action, AdS_3, AdS-CFT Correspondence, 01 natural sciences, High Energy Physics - Theory (hep-th), 0103 physical sciences, lcsh:QC770-798, Settore FIS/02 - FISICA TEORICA, MODELLI E METODI MATEMATICI, lcsh:Nuclear and particle physics. Atomic energy. Radioactivity, 010306 general physics, BTZ black hole
Abstract

We analytically compute subsystem action complexity for a segment in the BTZ black hole background up to the finite term, and we find that it is equal to the sum of a linearly divergent term proportional to the size of the subregion and of a term proportional to the entanglement entropy. This elegant structure does not survive to more complicated geometries: in the case of a two segments subregion in AdS$_3$, complexity has additional finite contributions. We give analytic results for the mutual action complexity of a two segments subregion., Comment: 29 pages, 7 figures, V2: minor changes, refs added

Published
2020

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