Elliptic blowup equations for 6d SCFTs. Part II. Exceptional cases

Abstract The building blocks of 6d (1, 0) SCFTs include certain rank one theories with gauge group G = SU(3), SO(8), F 4 , E 6,7,8. In this paper, we propose a universal recursion formula for the elliptic genera of all such theories. This formula is solved from the elliptic blowup equations introduc...
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Autor*in:	Jie Gu [verfasserIn] Albrecht Klemm [verfasserIn] Kaiwen Sun [verfasserIn] Xin Wang [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2019

Schlagwörter:	Conformal Field Models in String Theory Field Theories in Higher Dimensions Solitons Monopoles and Instantons Topological Strings

Übergeordnetes Werk:	In: Journal of High Energy Physics - SpringerOpen, 2016, (2019), 12, Seite 116
Übergeordnetes Werk:	year:2019 ; number:12 ; pages:116

Links:	Link aufrufen Link aufrufen Link aufrufen Journal toc

DOI / URN:	10.1007/JHEP12(2019)039

Katalog-ID:	DOAJ055899803

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520			\|a Abstract The building blocks of 6d (1, 0) SCFTs include certain rank one theories with gauge group G = SU(3), SO(8), F 4 , E 6,7,8. In this paper, we propose a universal recursion formula for the elliptic genera of all such theories. This formula is solved from the elliptic blowup equations introduced in our previous paper. We explicitly compute the elliptic genera and refined BPS invariants, which recover all previous results from topological string theory, modular bootstrap, Hilbert series, 2d quiver gauge theories and 4d N $$ \mathcal{N} $$ = 2 superconformal H G theories. We also observe an intriguing relation between the k-string elliptic genus and the Schur indices of rank k H G SCFTs, as a generalization of Del Zotto-Lockhart’s conjecture at the rank one cases. In a subsequent paper, we deal with all other non-Higgsable clusters with matters.
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spelling	10.1007/JHEP12(2019)039 doi (DE-627)DOAJ055899803 (DE-599)DOAJ601bbd1099324d608b523bcc71ef9677 DE-627 ger DE-627 rakwb eng QC770-798 Jie Gu verfasserin aut Elliptic blowup equations for 6d SCFTs. Part II. Exceptional cases 2019 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract The building blocks of 6d (1, 0) SCFTs include certain rank one theories with gauge group G = SU(3), SO(8), F 4 , E 6,7,8. In this paper, we propose a universal recursion formula for the elliptic genera of all such theories. This formula is solved from the elliptic blowup equations introduced in our previous paper. We explicitly compute the elliptic genera and refined BPS invariants, which recover all previous results from topological string theory, modular bootstrap, Hilbert series, 2d quiver gauge theories and 4d N $$ \mathcal{N} $$ = 2 superconformal H G theories. We also observe an intriguing relation between the k-string elliptic genus and the Schur indices of rank k H G SCFTs, as a generalization of Del Zotto-Lockhart’s conjecture at the rank one cases. In a subsequent paper, we deal with all other non-Higgsable clusters with matters. Conformal Field Models in String Theory Field Theories in Higher Dimensions Solitons Monopoles and Instantons Topological Strings Nuclear and particle physics. Atomic energy. Radioactivity Albrecht Klemm verfasserin aut Kaiwen Sun verfasserin aut Xin Wang verfasserin aut In Journal of High Energy Physics SpringerOpen, 2016 (2019), 12, Seite 116 (DE-627)320910571 (DE-600)2027350-2 10298479 nnns year:2019 number:12 pages:116 https://doi.org/10.1007/JHEP12(2019)039 kostenfrei https://doaj.org/article/601bbd1099324d608b523bcc71ef9677 kostenfrei https://doi.org/10.1007/JHEP12(2019)039 kostenfrei https://doaj.org/toc/1029-8479 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ SSG-OLC-PHA GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_2020 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 2019 12 116
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callnumber-first	Q - Science
author	Jie Gu
spellingShingle	Jie Gu misc QC770-798 misc Conformal Field Models in String Theory misc Field Theories in Higher Dimensions misc Solitons Monopoles and Instantons misc Topological Strings misc Nuclear and particle physics. Atomic energy. Radioactivity Elliptic blowup equations for 6d SCFTs. Part II. Exceptional cases
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topic_title	QC770-798 Elliptic blowup equations for 6d SCFTs. Part II. Exceptional cases Conformal Field Models in String Theory Field Theories in Higher Dimensions Solitons Monopoles and Instantons Topological Strings
topic	misc QC770-798 misc Conformal Field Models in String Theory misc Field Theories in Higher Dimensions misc Solitons Monopoles and Instantons misc Topological Strings misc Nuclear and particle physics. Atomic energy. Radioactivity
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title	Elliptic blowup equations for 6d SCFTs. Part II. Exceptional cases
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title_sort	elliptic blowup equations for 6d scfts. part ii. exceptional cases
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title_auth	Elliptic blowup equations for 6d SCFTs. Part II. Exceptional cases
abstract	Abstract The building blocks of 6d (1, 0) SCFTs include certain rank one theories with gauge group G = SU(3), SO(8), F 4 , E 6,7,8. In this paper, we propose a universal recursion formula for the elliptic genera of all such theories. This formula is solved from the elliptic blowup equations introduced in our previous paper. We explicitly compute the elliptic genera and refined BPS invariants, which recover all previous results from topological string theory, modular bootstrap, Hilbert series, 2d quiver gauge theories and 4d N $$ \mathcal{N} $$ = 2 superconformal H G theories. We also observe an intriguing relation between the k-string elliptic genus and the Schur indices of rank k H G SCFTs, as a generalization of Del Zotto-Lockhart’s conjecture at the rank one cases. In a subsequent paper, we deal with all other non-Higgsable clusters with matters.
abstractGer	Abstract The building blocks of 6d (1, 0) SCFTs include certain rank one theories with gauge group G = SU(3), SO(8), F 4 , E 6,7,8. In this paper, we propose a universal recursion formula for the elliptic genera of all such theories. This formula is solved from the elliptic blowup equations introduced in our previous paper. We explicitly compute the elliptic genera and refined BPS invariants, which recover all previous results from topological string theory, modular bootstrap, Hilbert series, 2d quiver gauge theories and 4d N $$ \mathcal{N} $$ = 2 superconformal H G theories. We also observe an intriguing relation between the k-string elliptic genus and the Schur indices of rank k H G SCFTs, as a generalization of Del Zotto-Lockhart’s conjecture at the rank one cases. In a subsequent paper, we deal with all other non-Higgsable clusters with matters.
abstract_unstemmed	Abstract The building blocks of 6d (1, 0) SCFTs include certain rank one theories with gauge group G = SU(3), SO(8), F 4 , E 6,7,8. In this paper, we propose a universal recursion formula for the elliptic genera of all such theories. This formula is solved from the elliptic blowup equations introduced in our previous paper. We explicitly compute the elliptic genera and refined BPS invariants, which recover all previous results from topological string theory, modular bootstrap, Hilbert series, 2d quiver gauge theories and 4d N $$ \mathcal{N} $$ = 2 superconformal H G theories. We also observe an intriguing relation between the k-string elliptic genus and the Schur indices of rank k H G SCFTs, as a generalization of Del Zotto-Lockhart’s conjecture at the rank one cases. In a subsequent paper, we deal with all other non-Higgsable clusters with matters.
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title_short	Elliptic blowup equations for 6d SCFTs. Part II. Exceptional cases
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Elliptic blowup equations for 6d SCFTs. Part II. Exceptional cases

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