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Title: Fermion-scalar conformal blocks

In this study, we compute the conformal blocks associated with scalar-scalar-fermionfermion 4-point functions in 3D CFTs. Together with the known scalar conformal blocks, our result completes the task of determining the so-called ‘seed blocks’ in three dimensions. In addition, conformal blocks associated with 4-point functions of operators with arbitrary spins can now be determined from these seed blocks by using known differential operators.
Authors:
 [1] ;  [2] ;  [3] ;  [1] ;  [4] ;  [1]
  1. Princeton Univ., NJ (United States)
  2. Yale Univ., New Haven, CT (United States)
  3. Yale Univ., New Haven, CT (United States); Institute for Advanced Study, Princeton, NJ (United States)
  4. Institute for Advanced Study, Princeton, NJ (United States)
Publication Date:
Grant/Contract Number:
SC0009988
Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2016; Journal Issue: 4; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Research Org:
Institute for Advanced Study, Princeton, NJ (United States)
Sponsoring Org:
USDOE
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Conformal and W Symmetry; Nonperturbative Effects
OSTI Identifier:
1327008

Iliesiu, Luca, Kos, Filip, Poland, David, Pufu, Silviu S., Simmons-Duffin, David, and Yacoby, Ran. Fermion-scalar conformal blocks. United States: N. p., Web. doi:10.1007/JHEP04(2016)074.
Iliesiu, Luca, Kos, Filip, Poland, David, Pufu, Silviu S., Simmons-Duffin, David, & Yacoby, Ran. Fermion-scalar conformal blocks. United States. doi:10.1007/JHEP04(2016)074.
Iliesiu, Luca, Kos, Filip, Poland, David, Pufu, Silviu S., Simmons-Duffin, David, and Yacoby, Ran. 2016. "Fermion-scalar conformal blocks". United States. doi:10.1007/JHEP04(2016)074. https://www.osti.gov/servlets/purl/1327008.
@article{osti_1327008,
title = {Fermion-scalar conformal blocks},
author = {Iliesiu, Luca and Kos, Filip and Poland, David and Pufu, Silviu S. and Simmons-Duffin, David and Yacoby, Ran},
abstractNote = {In this study, we compute the conformal blocks associated with scalar-scalar-fermionfermion 4-point functions in 3D CFTs. Together with the known scalar conformal blocks, our result completes the task of determining the so-called ‘seed blocks’ in three dimensions. In addition, conformal blocks associated with 4-point functions of operators with arbitrary spins can now be determined from these seed blocks by using known differential operators.},
doi = {10.1007/JHEP04(2016)074},
journal = {Journal of High Energy Physics (Online)},
number = 4,
volume = 2016,
place = {United States},
year = {2016},
month = {4}
}