2021/05/31 by Serafim Buyucli, Evgeny Ivanov
Mathematics · Physics and Astronomy · #Abelian group #Black Holes and Theoretical Physics #Dimension (graph theory) #F-term #Gauge theory #Mathematical physics #Mathematics #Order (exchange) #Particle physics theoretical and experimental studies #Physics #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Superspace #Supersymmetric gauge theory #Supersymmetry #TRACE (psycholinguistics) #hep-th #msc:70G65 #msc:70S15 #msc:81Q60
paper · pdf · doi:10.1007/jhep07(2021)190
0 + 31 pages, typos corrected, a footnote added, a reference updated; published version
openalex publication_date 2021/07/01 · arxiv created 2021/07/22 · arxiv updated 2021/08/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
A bstract We exploit the 6 D, N <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> </mml:math> = (1 , 0) and N <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> </mml:math> = (1 , 1) harmonic superspace approaches to construct the full set of the maximally supersymmetric on-shell invariants of the canonical dimension d = 12 in 6 D, N <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> </mml:math> = (1 , 1) supersymmetric Yang-Mills (SYM) theory. Both single- and double-trace invariants are derived. Only four single-trace and two double-trace invariants prove to be independent. The invariants constructed can provide the possible counterterms of N <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> </mml:math> = (1 , 1) SYM theory at four-loop order, where the first double-trace divergences are expected to appear. We explicitly exhibit the gauge sector of all invariants in terms of N <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> </mml:math> = (1 , 0) gauge superfields and find the absence of N <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> </mml:math> = (1 , 1) supercompletion of the F 6 term in the abelian limit.