2025/01/12 by Beccaria, Matteo, Tseytlin, Arkady A. · 3 citations
#FOS: Physical sciences #High Energy Physics - Theory (hep-th)
paper · doi:10.48550/arxiv.2501.06858
As was shown in arXiv:2303.15207, the leading large N, fixed k correction in the localization result for the expectation value of the (1)/(2)-BPS circular Wilson loop in U(N)k× U(N)-k ABJM theory given by the (sin(2π)/( k))-1 factor can be reproduced on the dual M-theory side as the one-loop correction in the partition function of an M2 brane in AdS4× S7/ℤk with AdS2× S1 world volume. Here we prove, following the suggestion in arXiv:2408.10070, that the analogous fact is true also for the corresponding correction B1=-(1)/(2πk)\cot(2π)/(k) in the localization result for the Bremsstrahlung function associated with the Wilson line with a small cusp in either AdS4 or \rm CP3. The corresponding M2 brane is wrapped on the 11d circle and generalizes the type IIA string solution in AdS4× \rm CP3 ending on the cusped line. We show that the one-loop term in the M2 brane partition function reproduces the localization expression for B1 as the coefficient of the leading term in its small cusp expansion.