Integrability of Green-Schwarz sigma models with boundaries

Amit Dekel; Yaron Oz

doi:10.1007/JHEP08(2011)004

Integrability of Green-Schwarz sigma models with boundaries

Amit Dekel, Yaron Oz

School of Physics and Astronomy

Tel Aviv University

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

Abstract

We construct integrability preserving boundary conditions for Green-Schwarz sigma-models on semi-symmetric spaces. The boundary conditions are expressed as gluing conditions of the flat-connection, using an involutive metric preserving automorphism. We show that the boundary conditions preserve half of the space-time supersymmetry and an infinite set of conserved charges. We find integrable D-brane configurations for AdS₅ × S⁵ and AdS₄ × CP³ backgrounds.

Original language	English
Article number	4
Journal	Journal of High Energy Physics
Volume	2011
Issue number	8
DOIs	https://doi.org/10.1007/JHEP08(2011)004
State	Published - 2011

Keywords

AdS-CFT Correspondence
D-branes
Integrable Field Theories

All Science Journal Classification (ASJC) codes

Nuclear and High Energy Physics

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10.1007/JHEP08(2011)004

Cite this

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title = "Integrability of Green-Schwarz sigma models with boundaries",

abstract = "We construct integrability preserving boundary conditions for Green-Schwarz sigma-models on semi-symmetric spaces. The boundary conditions are expressed as gluing conditions of the flat-connection, using an involutive metric preserving automorphism. We show that the boundary conditions preserve half of the space-time supersymmetry and an infinite set of conserved charges. We find integrable D-brane configurations for AdS5 × S5 and AdS4 × CP3 backgrounds.",

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AU - Oz, Yaron

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AB - We construct integrability preserving boundary conditions for Green-Schwarz sigma-models on semi-symmetric spaces. The boundary conditions are expressed as gluing conditions of the flat-connection, using an involutive metric preserving automorphism. We show that the boundary conditions preserve half of the space-time supersymmetry and an infinite set of conserved charges. We find integrable D-brane configurations for AdS5 × S5 and AdS4 × CP3 backgrounds.

KW - AdS-CFT Correspondence

KW - D-branes

KW - Integrable Field Theories

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U2 - 10.1007/JHEP08(2011)004

DO - 10.1007/JHEP08(2011)004

M3 - مقالة

SN - 1126-6708

VL - 2011

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

IS - 8

M1 - 4

ER -

Integrability of Green-Schwarz sigma models with boundaries

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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