RT Journal Article
T1 Quantum noncommutative ABJM theory: first steps
A1 Pérez Martín, Carmelo
A1 Trampetic, Josip
A1 Youd, Jiangyang
AB We introduce ABJM quantum field theory in the noncommutative spacetime by using the component formalism and show that it is N = 6 supersymmetric. For the U(1)_(κ) × U(1)_(−κ) case, we compute all one-loop 1PI two and three point functions in the Landau gauge and show that they are UV finite and have well-defined commutative limits θ^(µν) → 0, corresponding exactly to the 1PI functions of the ordinary ABJM field theory. This result also holds for all one-loop functions which are UV finite by power counting. It seems that the noncommutative quantum ABJM field theory is free from the noncommutative IR instabilities.
PB Springer
SN 1029-8479
YR 2018
FD 2018-03-19
LK https://hdl.handle.net/20.500.14352/12174
UL https://hdl.handle.net/20.500.14352/12174
LA eng
NO © The Authors. The work by C.P. Martin has been financially supported in part by the Spanish MINECO through grant FPA2014-54154-P. This work is also supported by the Croatian Science Foundation (HRZZ) under Contract No. IP-2014-09-9582, and we acknowledge the support of the COST Action MP1405 (QSPACE). J. You acknowledges support by the H2020 Twining project No. 692194, RBI-T-WINNING, and would like to acknowledge the support of W. Hollik and the Max-Planck-Institute for Physics, Munich, for hospitality. We also thank Johanna Erdmenger, Karl Landsteiner and Jun-bao Wu for many discussions on gauge/gravity duality and/or ABJM theory.
NO Unión Europea. H2020
NO Ministerio de Economía y Competitividad (MINECO)
NO Croatian Science Foundation (HRZZ)
NO COST Action
DS Docta Complutense
RD 7 abr 2025