TY - JOUR
T1 - Six-dimensional correlators from a five-dimensional operator product expansion
AU - Lambert, N.
AU - Lipstein, A.
AU - Mouland, R.
N1 - Publisher Copyright:
© The Author(s) 2024.
PY - 2024/6/11
Y1 - 2024/6/11
N2 - In this letter we discuss the operator product expansion of scalar operators in five-dimensional field theories with an SU(1, 3) × U(1) spacetime symmetry. Such theories arise by a novel conformal null reduction of six-dimensional Lorentzian conformal field theories. Unlike Lorentzian conformal field theories, three-point functions of generic operators in such theories are not completely fixed by SU(1, 3) × U(1) symmetry. However, we show that in a special case the functional form of the OPE coefficients can be fully determined, and we use them to fix the form of the three-point function. The result is shown to agree with correlation functions obtained by reduction of six-dimensional conformal field theories.
AB - In this letter we discuss the operator product expansion of scalar operators in five-dimensional field theories with an SU(1, 3) × U(1) spacetime symmetry. Such theories arise by a novel conformal null reduction of six-dimensional Lorentzian conformal field theories. Unlike Lorentzian conformal field theories, three-point functions of generic operators in such theories are not completely fixed by SU(1, 3) × U(1) symmetry. However, we show that in a special case the functional form of the OPE coefficients can be fully determined, and we use them to fix the form of the three-point function. The result is shown to agree with correlation functions obtained by reduction of six-dimensional conformal field theories.
KW - Conformal and W Symmetry
KW - Field Theories in Higher Dimensions
KW - P-Branes
KW - Scale and Conformal Symmetries
UR - http://www.scopus.com/inward/record.url?scp=85195958105&partnerID=8YFLogxK
U2 - 10.1007/JHEP06(2024)055
DO - 10.1007/JHEP06(2024)055
M3 - Article
AN - SCOPUS:85195958105
SN - 1126-6708
VL - 2024
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
IS - 6
M1 - 55
ER -