Transcendentality of ABJM two-point functions

被引：0
作者：
Marco S. Bianchi [1 ]
机构：
[1] Facultad de Ingeniería, Arquitectura y Diseño, Universidad San Sebastián, Santiago
来源：
Journal of High Energy Physics | / 2024卷 / 12期
关键词：
AdS-CFT Correspondence; Chern-Simons Theories; Supersymmetric Gauge Theory;
D O I：
10.1007/JHEP12(2024)188
中图分类号：
学科分类号：
摘要：
We compute the two-point function of protected dimension-1 operators in ABJM up to two loops in dimensional regularization. The result exhibits uniform transcendentality empirically, which we conjecture to hold at all orders. We leverage this property to streamline the reconstruction of the dimensional regularization expansion of master integrals in terms of bases of Euler sums of uniform transcendental weight. © The Authors.
引用
收藏
相关论文
共 32 条
  • [1] Aharony O., Bergman O., Jafferis D.L., Maldacena J., N = 6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals, JHEP, 10, (2008)
  • [2] Bianchi M.S., Protected and uniformly transcendental, JHEP, 9, (2023)
  • [3] Lee R.N., Space-time dimensionality D as complex variable: Calculating loop integrals using dimensional recurrence relation and analytical properties with respect to D, Nucl. Phys. B, 830
  • [4] Bailey D.H., Ferguson H.R.P., A polynomial time, numerical ly stable integer relation algorithm, Report SRC-TR-92-066, Supercomputing Research Center, (1991)
  • [5] Arno S., Ferguson H., A new polynomial time algorithm for finding relations among real numbers, Report SRC-93-093, Supercomputing Research Center, (1993)
  • [6] Bailey D.H., Broadhurst D.J., Paral lel integer relation detection: Techniques and applications, Math. Comput., 70, (2001)
  • [7] Lenstra A.K., Lenstra H.W., Lovasz L., Factoring polynomials with rational coefficients, Math. Ann., 261, (1982)
  • [8] Aharony O., Bergman O., Jafferis D.L., Fractional M2-branes, JHEP, 11, (2008)
  • [9] Young D., ABJ(M) Chiral Primary Three-Point Function at Two-loops, JHEP, 7, (2014)
  • [10] Bianchi M.S., On three-point functions in ABJM and the latitude Wilson loop, JHEP, 10, (2020)
1234