A generalized dominance ordering for 1/2-BPS states

Autor: Garreth Kemp
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Journal of High Energy Physics, Vol 2023, Iss 9, Pp 1-38 (2023)
Druh dokumentu: article
ISSN: 1029-8479
70615462
DOI: 10.1007/JHEP09(2023)039
Popis: Abstract We discuss a generalized dominance ordering for irreducible representations of the symmetric group S n with the aim of distinguishing the corresponding states in the 1/2-BPS sector of U(N) Super Yang-Mills theory when a certain finite number of Casimir operators are known. Having knowledge of a restricted set of Casimir operators was proposed as a mechanism for information loss in this sector and its dual gravity theory in AdS5 × S 5. It is well-known that the states in this sector are labeled by Young diagrams with n boxes. We propose a generalization of the well-known dominance ordering of Young diagrams. Using this generalization, we posit a conjecture to determine an upper bound for the number of Casimir operators needed to distinguish between the 1/2-BPS states and thus also between their duals in the gravity theory. We offer numerical and analytic evidence for the conjecture. Lastly, we discuss implications of this conjecture when the energy n of the states is asymptotically large.
Databáze: Directory of Open Access Journals
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