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Cancellation of spurious poles in N=4 SYM: Physical and geometric by Susama Agarwala; Cameron Marcott is a Mathematics article available to read on EtoBox.
What is Cancellation of spurious poles in N=4 SYM: Physical and geometric about?
This paper shows that not only do the codimension one spurious poles of N k MHV tree level diagrams in N=4 SYM theory cancel in the tree level amplitude as expected, but their vanishing loci have a geometric interpretation that is tightly connected to their representation in the positive Grassmannians. In general, given a positroid variety, Σ, and a minimal matrix representation of it in terms of independent variable valued matrices, M V , one can define a polynomial, R(V) that is uniquely defined by the Grassmann necklace, I, of the positroid cell. The vanishing locus of R(V) lies on the boundary of the positive variety Σ \ Σ, but not all boundaries intersect the vanishing loci of a factor of R(V). We use this to show that the codimension one spurious poles of N=4 SYM, represented in twistor space, cancel in the tree level amplitude.
Who reads Cancellation of spurious poles in N=4 SYM: Physical and geometric?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Susama Agarwala; Cameron Marcott
- Publisher
- Elsevier BV
- Published
- 2023
- Language
- EN
- Field
- Mathematics (Physical Sciences)