TY - JOUR
T1 - The planar limit of integrated 4-point functions
AU - Fiol, Bartomeu
AU - Kong, Ziwen
N1 - Funding Information:
We would like to thank Fernando Alday and Shai Chester for correspondence. The research of BF is supported by the State Agency for Research of the Spanish Ministry of Science and Innovation through the “Unit of Excellence María de Maeztu 2020-2023” award to the Institute of Cosmos Sciences (CEX2019-000918-M) and PID2019-105614GB-C22. ZK is supported by CSC grant No. 201906340174.
Funding Information:
We would like to thank Fernando Alday and Shai Chester for correspondence. The research of BF is supported by the State Agency for Research of the Spanish Ministry of Science and Innovation through the “Unit of Excellence María de Maeztu 2020-2023” award to the Institute of Cosmos Sciences (CEX2019-000918-M) and PID2019-105614GB-C22. ZK is supported by CSC grant No. 201906340174.
Publisher Copyright:
© 2023, The Author(s).
PY - 2023/7/12
Y1 - 2023/7/12
N2 - We study the planar limit of integrated 4-point functions of moment map operators of N = 2 SU(N) SQCD. We do so by considering the planar free energy on S
4 of the massive deformation of this theory, and taking advantage of the exact relation between this free energy and the integrated 4-point function. For this planar free energy we derive all the terms with maximal and next-to-maximal transcendentality, and present a procedure to compute terms of lower transcendentality. We also derive the first non-planar corrections, as all order series in the ’t Hooft coupling, and to all orders in transcendentality. Finally, we also apply our approach to the better studied example of N = 4 SU(N) SYM integrated 4-point functions, and reproduce their known planar limit.
AB - We study the planar limit of integrated 4-point functions of moment map operators of N = 2 SU(N) SQCD. We do so by considering the planar free energy on S
4 of the massive deformation of this theory, and taking advantage of the exact relation between this free energy and the integrated 4-point function. For this planar free energy we derive all the terms with maximal and next-to-maximal transcendentality, and present a procedure to compute terms of lower transcendentality. We also derive the first non-planar corrections, as all order series in the ’t Hooft coupling, and to all orders in transcendentality. Finally, we also apply our approach to the better studied example of N = 4 SU(N) SYM integrated 4-point functions, and reproduce their known planar limit.
UR - https://arxiv.org/abs/2303.09572
UR - http://www.scopus.com/inward/record.url?scp=85165295720&partnerID=8YFLogxK
U2 - 10.1007/JHEP07(2023)100
DO - 10.1007/JHEP07(2023)100
M3 - Article
SN - 1126-6708
VL - 2023
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
IS - 7
M1 - 100
ER -