Gauge invariant target space entanglement in D-brane holography

Sumit R. Das; Anurag Kaushal; Sinong Liu; Gautam Mandal; Sandip P. Trivedi

doi:10.1007/JHEP04(2021)225

Gauge invariant target space entanglement in D-brane holography

Sumit R. Das, Anurag Kaushal, Sinong Liu, Gautam Mandal, Sandip P. Trivedi

Research output: Contribution to journal › Article › peer-review

20 Scopus citations

Abstract

It has been suggested in arXiv:2004.00613 that in Dp-brane holography, entanglement in the target space of the D-brane Yang-Mills theory provides a precise notion of bulk entanglement in the gravity dual. We expand on this discussion by providing a gauge invariant characterization of operator sub-algebras corresponding to such entanglement. This is achieved by finding a projection operator which imposes a constraint characterizing the target space region of interest. By considering probe branes in the Coloumb branch we provide motivation for why the operator sub-algebras we consider are appropriate for describing a class of measurements carried out with low-energy probes in the corresponding bulk region of interest. We derive expressions for the corresponding Renyi entropies in terms of path integrals which can be directly used in numerical calculations.

Original language	English
Article number	225
Journal	Journal of High Energy Physics
Volume	2021
Issue number	4
DOIs	https://doi.org/10.1007/JHEP04(2021)225
State	Published - Apr 2021

Bibliographical note

Publisher Copyright:
© 2021, The Author(s).

Funding

Funders	Funder number
U.S. Department of Energy Chinese Academy of Sciences Guangzhou Municipal Science and Technology Project Oak Ridge National Laboratory Extreme Science and Engineering Discovery Environment National Science Foundation National Energy Research Scientific Computing Center National Natural Science Foundation of China	1818878

Keywords

D-branes
Gauge-gravity correspondence
Matrix Models

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1007/JHEP04(2021)225

Cite this

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abstract = "It has been suggested in arXiv:2004.00613 that in Dp-brane holography, entanglement in the target space of the D-brane Yang-Mills theory provides a precise notion of bulk entanglement in the gravity dual. We expand on this discussion by providing a gauge invariant characterization of operator sub-algebras corresponding to such entanglement. This is achieved by finding a projection operator which imposes a constraint characterizing the target space region of interest. By considering probe branes in the Coloumb branch we provide motivation for why the operator sub-algebras we consider are appropriate for describing a class of measurements carried out with low-energy probes in the corresponding bulk region of interest. We derive expressions for the corresponding Renyi entropies in terms of path integrals which can be directly used in numerical calculations.",

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AU - Das, Sumit R.

AU - Kaushal, Anurag

AU - Liu, Sinong

AU - Mandal, Gautam

AU - Trivedi, Sandip P.

PY - 2021/4

Y1 - 2021/4

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AB - It has been suggested in arXiv:2004.00613 that in Dp-brane holography, entanglement in the target space of the D-brane Yang-Mills theory provides a precise notion of bulk entanglement in the gravity dual. We expand on this discussion by providing a gauge invariant characterization of operator sub-algebras corresponding to such entanglement. This is achieved by finding a projection operator which imposes a constraint characterizing the target space region of interest. By considering probe branes in the Coloumb branch we provide motivation for why the operator sub-algebras we consider are appropriate for describing a class of measurements carried out with low-energy probes in the corresponding bulk region of interest. We derive expressions for the corresponding Renyi entropies in terms of path integrals which can be directly used in numerical calculations.

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KW - Gauge-gravity correspondence

KW - Matrix Models

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Gauge invariant target space entanglement in D-brane holography

Abstract

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Keywords

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