Entanglement Entropy in Field Theory and Gravity

This is an introductory set of lectures given by the author at the Modave Summer School 2015 on the various incarnations of entanglement entropy. Topics covered include an overview of the basic properties of entanglement entropy, its structure in quantum field theory, its computation in two-dimensional conformal field theory, a simple application to c -theorems in two dimensions, and the Ryu-Takayanagi formula and its extensions in holography

entropy: entanglement
field theory: conformal
gravitation
holography
lectures: introductory

References(57)

Figures(0)

[1]

A Fundamental Property of Quantum-Mechanical Entropy

Elliott H. Lieb
(
- IHES, Bures-sur-Yvette
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Mary Beth Ruskai
(
- MIT
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Rafael D. Sorkin
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Diego M. Hofman
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A Finite entanglement entropy and the c-theorem

H. Casini
(
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M. Huerta
(
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•
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A c-theorem for the entanglement entropy

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A Refinement of entanglement entropy and the number of degrees of freedom

Hong Liu
(
- MIT, LNS
)
,
Mark Mezei
(
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)

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Daniel L. Jafferis
(
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)

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[20]

F-Theorem without Supersymmetry

Igor R. Klebanov
(
)
,
Silviu S. Pufu
(
- Princeton U. and
- MIT, LNS
)
,
Benjamin R. Safdi
(
- Princeton U.
)

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•
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•
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[21]

Towards the F-Theorem: N=2 Field Theories on the Three-Sphere

Daniel L. Jafferis
(
- Princeton, Inst. Advanced Study and
- Harvard U.
)
,
Igor R. Klebanov
(
- Princeton U.
)
,
Silviu S. Pufu
(
- Princeton U.
)
,
Benjamin R. Safdi
(
- Princeton U.
)

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•
e-Print:
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•
DOI:
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[22]

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[23]

Mutual information and the F-theorem

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[24]

On Renormalization Group Flows in Four Dimensions

Zohar Komargodski
(
- Weizmann Inst. and
- Princeton, Inst. Advanced Study
)
,
Adam Schwimmer
(
- Weizmann Inst.
)

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[25]

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Juan Martin Maldacena
(
- Harvard U.
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