Applications of alpha space

Daniel Rutter; Balt C. van Rees

doi:10.1007/JHEP12(2020)048

Applications of alpha space

Daniel Rutter
, Balt C. van Rees

Durham University

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

Abstract

We extend the definition of ‘alpha space’ as introduced in [1] to two spacetime dimensions. We discuss how this can be used to find conformal block decompositions of known functions and how to easily recover several lightcone bootstrap results. In the second part of the paper we establish a connection between alpha space and the Lorentzian inversion formula of [2].

Original language	English
Article number	48
Journal	Journal of High Energy Physics
Volume	2020
Issue number	12
DOIs	https://doi.org/10.1007/JHEP12(2020)048
Publication status	Published - 1 Dec 2020

Keywords

Conformal Field Theory
Field Theories in Lower Dimensions

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10.1007/JHEP12(2020)048

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title = "Applications of alpha space",

abstract = "We extend the definition of {\textquoteleft}alpha space{\textquoteright} as introduced in [1] to two spacetime dimensions. We discuss how this can be used to find conformal block decompositions of known functions and how to easily recover several lightcone bootstrap results. In the second part of the paper we establish a connection between alpha space and the Lorentzian inversion formula of [2].",

keywords = "Conformal Field Theory, Field Theories in Lower Dimensions",

author = "Daniel Rutter and \{van Rees\}, \{Balt C.\}",

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year = "2020",

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doi = "10.1007/JHEP12(2020)048",

language = "English",

volume = "2020",

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AU - van Rees, Balt C.

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AB - We extend the definition of ‘alpha space’ as introduced in [1] to two spacetime dimensions. We discuss how this can be used to find conformal block decompositions of known functions and how to easily recover several lightcone bootstrap results. In the second part of the paper we establish a connection between alpha space and the Lorentzian inversion formula of [2].

KW - Conformal Field Theory

KW - Field Theories in Lower Dimensions

U2 - 10.1007/JHEP12(2020)048

DO - 10.1007/JHEP12(2020)048

M3 - Article

AN - SCOPUS:85097363704

SN - 1126-6708

VL - 2020

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

IS - 12

M1 - 48

ER -

Applications of alpha space

Abstract

Keywords

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