2018/02/28 by Lorenzo Bianchi, Michelangelo Preti, Edoardo Vescovi · 1 citation
Chemistry · Physics and Astronomy · #Algorithm #Black Holes and Theoretical Physics #Chemistry #Computer science #Crystallography #Physics #hep-th
paper · pdf · doi:10.1007/jhep07(2018)060
43 pages, 3 figures. Minor changes. Published version
openalex publication_date 2018/07/01 · arxiv created 2018/08/19 · arxiv updated 2018/08/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
A bstract In this paper we study the Bremsstrahlung functions for the (1)/(6)BPS <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mfrac> <mml:mn>1</mml:mn> <mml:mn>6</mml:mn> </mml:mfrac> <mml:mi>B</mml:mi> <mml:mi>P</mml:mi> <mml:mi>S</mml:mi> </mml:math> and the (1)/(2)BPS <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mfrac> <mml:mn>1</mml:mn> <mml:mn>2</mml:mn> </mml:mfrac> <mml:mi>B</mml:mi> <mml:mi>P</mml:mi> <mml:mi>S</mml:mi> </mml:math> Wilson lines in ABJM theory. First we use a superconformal defect approach to prove a conjectured relation between the Bremsstrahlung functions associated to the geometric ( B 1/6 φ ) and R-symmetry ( B 1/6 θ ) deformations of the (1)/(6)BPS <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mfrac> <mml:mn>1</mml:mn> <mml:mn>6</mml:mn> </mml:mfrac> <mml:mi>B</mml:mi> <mml:mi>P</mml:mi> <mml:mi>S</mml:mi> </mml:math> Wilson line. This result, non-trivially following from a defect supersymmetric Ward identity, provides an exact expression for B 1/6 θ based on a known result for B 1/6 φ . Subsequently, we explore the consequences of this relation for the (1)/(2)BPS <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mfrac> <mml:mn>1</mml:mn> <mml:mn>2</mml:mn> </mml:mfrac> <mml:mi>B</mml:mi> <mml:mi>P</mml:mi> <mml:mi>S</mml:mi> </mml:math> Wilson line and, using the localization result for the multiply wound Wilson loop, we provide an exact closed form for the corresponding Bremsstrahlung function. Interestingly, for the comparison with integrability, this expression appears particularly natural in terms of the conjectured interpolating function h ( λ ). During the derivation of these results we analyze the protected defect supermultiplets associated to the broken symmetries, including their two- and three-point correlators.