Publishing type：Research paper (scientific journal)   Publisher：Springer Science and Business Media LLC  

Abstract

We propose a giant graviton expansion for Wilson line operator indices in general representations. The inserted line operators are specified by power sum symmetric polynomials p _λ labeled by partitions λ. We interpret the partitions as the structure of fundamental string worldsheets wrapping around the temporal circle. The strings may or may not end on giant gravitons, and by summing the contributions from all brane configurations consistent with the specified partitions, we obtain the finite N line operator index. The proposed formula is consistent with known results and passes highly non-trivial numerical tests.

DOI： 10.1007/jhep09(2024)202

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Other Link： https://link.springer.com/article/10.1007/JHEP09(2024)202/fulltext.html

Publishing type：Research paper (scientific journal)   Publisher：Oxford University Press (OUP)  

Abstract

We study giant graviton expansions of the superconformal index of 4D orbifold/orientifold theories. In general, a giant graviton expansion is given as a multiple sum over wrapping numbers. It is known that the expansion can be reduced to a simple sum for the ${\cal N}=4$  U(N) supersymmetric Yang–Mills (SYM) by choosing appropriate expansion variables. We find such a reduction occurs for a few examples of orbifold and orientifold theories: the $\mathbb {Z}_k$ orbifold and orientifolds with O3 and O7. We also argue that for a quiver gauge theory associated with a toric Calabi–Yau 3-fold the simple-sum expansion works only if the toric diagram is a triangle, i.e. the Calabi–Yau is an orbifold of $\mathbb {C}^3$.

DOI： 10.1093/ptep/ptae006

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Other Link： https://academic.oup.com/ptep/article-pdf/2024/2/023B02/57114438/ptae006.pdf

Publishing type：Research paper (scientific journal)   Publisher：Springer Science and Business Media LLC  

Abstract

We investigate finite-N corrections to the superconformal indices of the theories realized on M2- and M5-branes. For three-dimensional theories realized on a stack of N M2-branes we calculate the finite-N corrections as the contribution of extended M5-branes in the dual geometry AdS₄×S⁷. We take only M5-brane configurations with a single wrapping into account, and neglect multiple-wrapping configurations. We compare the results with the indices calculated from the ABJM theory, and find agreement up to expected errors due to the multiple wrapping. For six-dimensional theories on N M5-branes we calculate the indices by analyzing extended M2-branes in AdS₇×S⁴. Again, we include only configurations with single wrapping. We first compare the result for N = 1 with the index of the free tensor multiplet to estimate the order of the error due to multiple wrapping. We calculate first few terms of the index of A_N−1 theories explicitly, and confirm that they can be expanded by superconformal representations. We also discuss multiple-wrapping contributions to the six-dimensional Schur-like index.

DOI： 10.1007/jhep11(2020)093

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Other Link： http://link.springer.com/article/10.1007/JHEP11(2020)093/fulltext.html

Publishing type：Research paper (scientific journal)   Publisher：American Physical Society (APS)  

DOI： 10.1103/physrevd.100.025012

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Other Link： http://harvest.aps.org/v2/journals/articles/10.1103/PhysRevD.100.025012/fulltext

Publishing type：Research paper (scientific journal)   Publisher：Springer Science and Business Media LLC  

DOI： 10.1007/jhep03(2017)095

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