Calabi's diastasis as interface entropy

Constantin P. Bachas; Ilka Brunner; Michael R. Douglas; Leonardo Rastelli

doi:10.1103/PhysRevD.90.045004

Calabi's diastasis as interface entropy

Constantin P. Bachas
, Ilka Brunner
, Michael R. Douglas
, Leonardo Rastelli

Institute for Theoretical Physics

CNRS
Ludwig Maximilian University of Munich
Excellence Cluster Universe
Stony Brook University

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

17 Scopus citations

Abstract

We show that the entropy of certain conformal interfaces between N=(2,2) sigma models that belong to the same moduli space has a natural geometric interpretation in the large volume limit as Calabi's diastasis function. This is an extension of the well-known relation between the quantum Kähler potential and the overlap of canonical Ramond - Ramond ground states in N=(2,2) models.

Original language	English
Article number	045004
Journal	Physical Review D - Particles, Fields, Gravitation and Cosmology
Volume	90
Issue number	4
DOIs	https://doi.org/10.1103/PhysRevD.90.045004
State	Published - Aug 1 2014

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title = "Calabi's diastasis as interface entropy",

abstract = "We show that the entropy of certain conformal interfaces between N=(2,2) sigma models that belong to the same moduli space has a natural geometric interpretation in the large volume limit as Calabi's diastasis function. This is an extension of the well-known relation between the quantum K{\"a}hler potential and the overlap of canonical Ramond - Ramond ground states in N=(2,2) models.",

author = "Bachas, \{Constantin P.\} and Ilka Brunner and Douglas, \{Michael R.\} and Leonardo Rastelli",

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AU - Bachas, Constantin P.

AU - Brunner, Ilka

AU - Douglas, Michael R.

AU - Rastelli, Leonardo

PY - 2014/8/1

Y1 - 2014/8/1

N2 - We show that the entropy of certain conformal interfaces between N=(2,2) sigma models that belong to the same moduli space has a natural geometric interpretation in the large volume limit as Calabi's diastasis function. This is an extension of the well-known relation between the quantum Kähler potential and the overlap of canonical Ramond - Ramond ground states in N=(2,2) models.

AB - We show that the entropy of certain conformal interfaces between N=(2,2) sigma models that belong to the same moduli space has a natural geometric interpretation in the large volume limit as Calabi's diastasis function. This is an extension of the well-known relation between the quantum Kähler potential and the overlap of canonical Ramond - Ramond ground states in N=(2,2) models.

UR - https://www.scopus.com/pages/publications/84905757884

U2 - 10.1103/PhysRevD.90.045004

DO - 10.1103/PhysRevD.90.045004

M3 - Article

AN - SCOPUS:84905757884

SN - 1550-7998

VL - 90

JO - Physical Review D - Particles, Fields, Gravitation and Cosmology

JF - Physical Review D - Particles, Fields, Gravitation and Cosmology

IS - 4

M1 - 045004

ER -

Calabi's diastasis as interface entropy

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