Large N matrix hyperspheres and the gauge-gravity correspondence

Masuku, Mthokozisi; Mulokwe, Mbavhalelo; Rodrigues, J. P.

doi:10.1007/jhep12(2015)035

Cited by 5 publications

(5 citation statements)

References 29 publications

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“…It is interesting to note that the formula for Ω(x, x ) is identical to the formula obtained from the radial sector of multi matrix models, and that the formula for ω(x) is very similar -see [78,79,80,81]. This easily leads to the following Hamiltonian (we have dropped constant terms)…”

Section: Collective Field Theorymentioning

confidence: 72%

Gauge invariants, correlators and holography in bosonic and fermionic tensor models

Koch

Gossman

Tribelhorn

2017

J. High Energ. Phys.

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Motivated by the close connection of tensor models to the SYK model, we use representation theory to construct the complete set of gauge invariant observables for bosonic and fermionic tensor models. Correlation functions of the gauge invariant operators in the free theory are computed exactly. The gauge invariant operators close a ring. The structure constants of the ring are described explicitly. Finally, we construct a collective field theory description of the bosonic tensor model.

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Section: Collective Field Theorymentioning

confidence: 72%

Gauge invariants, correlators and holography in bosonic and fermionic tensor models

Koch

Gossman

Tribelhorn

2017

J. High Energ. Phys.

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“…As in the case of simple linear constraints the projector leads to restriction of the integration range of r i . The above construction is inspired by the work [83,84] where the complex matrixẐ was written asẐ =RŨ whereR is a hermitian matrix operator andŨ is a unitary operator. However in this decompositionR 2…”

Section: Jhep04(2021)225mentioning

confidence: 99%

Gauge invariant target space entanglement in D-brane holography

Das

Kaushal

Liu

et al. 2021

J. High Energ. Phys.

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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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“…The formula for Ω(x, x ) coincides with the radial sector of multi matrix models and the formula for ω(x) is very similar -see[61,62,63,64].…”

mentioning

confidence: 72%

Holography for tensor models

et al. 2020

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In this article we explore the holographic duals of tensor models using collective field theory. We develop a description of the gauge invariant variables of the tensor model. This is then used to develop a collective field theory description of the dynamics. We consider matrix like subsectors that develop an extra holographic dimension. In particular, we develop the collective field theory for the matrix like sector of an interacting tensor model. We check the correctness of the large N collective field by showing that it reproduces the perturbative expansion of large N expectation values. In contrast to this, we argue that melonic large N limits do not develop an extra dimension. This conclusion follows from the large N value for the melonic collective field, which has delta function support. The finite N physics of the model is also developed and non-perturbative effects in the 1/N expansion are exhibited. 1 robert@neo.phys.wits.ac.za 2

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Large N matrix hyperspheres and the gauge-gravity correspondence

Cited by 5 publications

References 29 publications

Gauge invariants, correlators and holography in bosonic and fermionic tensor models

Gauge invariants, correlators and holography in bosonic and fermionic tensor models

Gauge invariant target space entanglement in D-brane holography

Holography for tensor models

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