Exact $$ \mathcal{N} $$ = 2* Schur line defect correlators
نویسندگان
چکیده
A bstract We study the Schur line defect correlation functions in $$ \mathcal{N} = 4 and 2 ∗ U( N ) super Yang-Mills (SYM) theory. find exact closed-form formulae of Wilson operators fundamental, antisymmetric symmetric representations via Fermi-gas method canonical grand ensembles. All correlators are shown to be expressible terms multiple series that generalizes Kronecker theta function. From large we obtain generating for spectra D5-brane giant D3-brane dual a correspondence between fluctuation modes plane partition diamonds.
منابع مشابه
Exact Multi-Matrix Correlators
We argue that restricted Schur polynomials provide a useful parameterization of the complete set of gauge invariant variables of multi-matrix models. The two point functions of restricted Schur polynomials are evaluated exactly in the free field theory limit. They have diagonal two point functions.
متن کاملExact correlators of two – matrix models
We compute exact solutions of two–matrix models, i.e. detailed genus by genus expressions for the correlation functions of these theories, calculated without any approximation. We distinguish between two types of models, the unconstrained and the constrained ones. Unconstrained two–matrix models represent perturbations of c = 1 string theory, while the constrained ones correspond to topological...
متن کامل2 00 5 Schur Positivity and Schur Log - Concavity
We prove Okounkov’s conjecture, a conjecture of Fomin-FultonLi-Poon, and a special case of Lascoux-Leclerc-Thibon’s conjecture on Schur positivity and give several more general statements using a recent result of Rhoades and Skandera. An alternative proof of this result is provided. We also give an intriguing log-concavity property of Schur functions. 1. Schur positivity conjectures The ring of...
متن کاملImaginary parts and discontinuities of Wilson line correlators.
We introduce a notion of position-space cuts of eikonal diagrams, the set of diagrams appearing in the perturbative expansion of the correlator of a set of straight semi-infinite Wilson lines. The cuts are applied directly to the position-space representation of any such diagram and compute its imaginary part to the leading order in the dimensional regulator. Our cutting prescription thus defin...
متن کاملWilson line correlators in two-dimensional noncommutative Yang-Mills theory
We study the correlator of two parallel Wilson lines in two-dimensional noncommutative Yang-Mills theory, following two different approaches. We first consider a perturbative expansion and resum all planar diagrams, planarity acquiring a meaning in two dimensions only in the large-N limit. The second approach is non-perturbative: we exploit the Morita equivalence, mapping the two open lines on ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of High Energy Physics
سال: 2023
ISSN: ['1127-2236', '1126-6708', '1029-8479']
DOI: https://doi.org/10.1007/jhep06(2023)169