Blowup equations for 6d SCFTs. Part I

Abstract We propose novel functional equations for the BPS partition functions of 6d (1, 0) SCFTs, which can be regarded as an elliptic version of Göttsche-Nakajima-Yoshioka’s K-theoretic blowup equations. From the viewpoint of geometric engineering, these are the generalized blowup equations for re...
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Autor*in:	Jie Gu [verfasserIn] Babak Haghighat [verfasserIn] Kaiwen Sun [verfasserIn] Xin Wang [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2019

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

Übergeordnetes Werk:	In: Journal of High Energy Physics - SpringerOpen, 2016, (2019), 3, Seite 53
Übergeordnetes Werk:	year:2019 ; number:3 ; pages:53

Links:	Link aufrufen Link aufrufen Link aufrufen Journal toc

DOI / URN:	10.1007/JHEP03(2019)002

Katalog-ID:	DOAJ043924867

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520			\|a Abstract We propose novel functional equations for the BPS partition functions of 6d (1, 0) SCFTs, which can be regarded as an elliptic version of Göttsche-Nakajima-Yoshioka’s K-theoretic blowup equations. From the viewpoint of geometric engineering, these are the generalized blowup equations for refined topological strings on certain local elliptic CalabiYau threefolds. We derive recursion formulas for elliptic genera of self-dual strings on the tensor branch from these functional equations and in this way obtain a universal approach for determining refined BPS invariants. As examples, we study in detail the minimal 6d SCFTs with SU(3) and SO(8) gauge symmetry. In companion papers, we will study the elliptic blowup equations for all other non-Higgsable clusters.
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spelling	10.1007/JHEP03(2019)002 doi (DE-627)DOAJ043924867 (DE-599)DOAJ699ff403a5614daf91569c469b74fcf6 DE-627 ger DE-627 rakwb eng QC770-798 Jie Gu verfasserin aut Blowup equations for 6d SCFTs. Part I 2019 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract We propose novel functional equations for the BPS partition functions of 6d (1, 0) SCFTs, which can be regarded as an elliptic version of Göttsche-Nakajima-Yoshioka’s K-theoretic blowup equations. From the viewpoint of geometric engineering, these are the generalized blowup equations for refined topological strings on certain local elliptic CalabiYau threefolds. We derive recursion formulas for elliptic genera of self-dual strings on the tensor branch from these functional equations and in this way obtain a universal approach for determining refined BPS invariants. As examples, we study in detail the minimal 6d SCFTs with SU(3) and SO(8) gauge symmetry. In companion papers, we will study the elliptic blowup equations for all other non-Higgsable clusters. Solitons Monopoles and Instantons Topological Strings Field Theories in Higher Dimensions Conformal Field Models in String Theory Nuclear and particle physics. Atomic energy. Radioactivity Babak Haghighat verfasserin aut Kaiwen Sun verfasserin aut Xin Wang verfasserin aut In Journal of High Energy Physics SpringerOpen, 2016 (2019), 3, Seite 53 (DE-627)320910571 (DE-600)2027350-2 10298479 nnns year:2019 number:3 pages:53 https://doi.org/10.1007/JHEP03(2019)002 kostenfrei https://doaj.org/article/699ff403a5614daf91569c469b74fcf6 kostenfrei http://link.springer.com/article/10.1007/JHEP03(2019)002 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 3 53
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allfieldsSound	10.1007/JHEP03(2019)002 doi (DE-627)DOAJ043924867 (DE-599)DOAJ699ff403a5614daf91569c469b74fcf6 DE-627 ger DE-627 rakwb eng QC770-798 Jie Gu verfasserin aut Blowup equations for 6d SCFTs. Part I 2019 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract We propose novel functional equations for the BPS partition functions of 6d (1, 0) SCFTs, which can be regarded as an elliptic version of Göttsche-Nakajima-Yoshioka’s K-theoretic blowup equations. From the viewpoint of geometric engineering, these are the generalized blowup equations for refined topological strings on certain local elliptic CalabiYau threefolds. We derive recursion formulas for elliptic genera of self-dual strings on the tensor branch from these functional equations and in this way obtain a universal approach for determining refined BPS invariants. As examples, we study in detail the minimal 6d SCFTs with SU(3) and SO(8) gauge symmetry. In companion papers, we will study the elliptic blowup equations for all other non-Higgsable clusters. Solitons Monopoles and Instantons Topological Strings Field Theories in Higher Dimensions Conformal Field Models in String Theory Nuclear and particle physics. Atomic energy. Radioactivity Babak Haghighat verfasserin aut Kaiwen Sun verfasserin aut Xin Wang verfasserin aut In Journal of High Energy Physics SpringerOpen, 2016 (2019), 3, Seite 53 (DE-627)320910571 (DE-600)2027350-2 10298479 nnns year:2019 number:3 pages:53 https://doi.org/10.1007/JHEP03(2019)002 kostenfrei https://doaj.org/article/699ff403a5614daf91569c469b74fcf6 kostenfrei http://link.springer.com/article/10.1007/JHEP03(2019)002 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 3 53
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callnumber-first	Q - Science
author	Jie Gu
spellingShingle	Jie Gu misc QC770-798 misc Solitons Monopoles and Instantons misc Topological Strings misc Field Theories in Higher Dimensions misc Conformal Field Models in String Theory misc Nuclear and particle physics. Atomic energy. Radioactivity Blowup equations for 6d SCFTs. Part I
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topic_title	QC770-798 Blowup equations for 6d SCFTs. Part I Solitons Monopoles and Instantons Topological Strings Field Theories in Higher Dimensions Conformal Field Models in String Theory
topic	misc QC770-798 misc Solitons Monopoles and Instantons misc Topological Strings misc Field Theories in Higher Dimensions misc Conformal Field Models in String Theory misc Nuclear and particle physics. Atomic energy. Radioactivity
topic_unstemmed	misc QC770-798 misc Solitons Monopoles and Instantons misc Topological Strings misc Field Theories in Higher Dimensions misc Conformal Field Models in String Theory misc Nuclear and particle physics. Atomic energy. Radioactivity
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title	Blowup equations for 6d SCFTs. Part I
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title_sort	blowup equations for 6d scfts. part i
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title_auth	Blowup equations for 6d SCFTs. Part I
abstract	Abstract We propose novel functional equations for the BPS partition functions of 6d (1, 0) SCFTs, which can be regarded as an elliptic version of Göttsche-Nakajima-Yoshioka’s K-theoretic blowup equations. From the viewpoint of geometric engineering, these are the generalized blowup equations for refined topological strings on certain local elliptic CalabiYau threefolds. We derive recursion formulas for elliptic genera of self-dual strings on the tensor branch from these functional equations and in this way obtain a universal approach for determining refined BPS invariants. As examples, we study in detail the minimal 6d SCFTs with SU(3) and SO(8) gauge symmetry. In companion papers, we will study the elliptic blowup equations for all other non-Higgsable clusters.
abstractGer	Abstract We propose novel functional equations for the BPS partition functions of 6d (1, 0) SCFTs, which can be regarded as an elliptic version of Göttsche-Nakajima-Yoshioka’s K-theoretic blowup equations. From the viewpoint of geometric engineering, these are the generalized blowup equations for refined topological strings on certain local elliptic CalabiYau threefolds. We derive recursion formulas for elliptic genera of self-dual strings on the tensor branch from these functional equations and in this way obtain a universal approach for determining refined BPS invariants. As examples, we study in detail the minimal 6d SCFTs with SU(3) and SO(8) gauge symmetry. In companion papers, we will study the elliptic blowup equations for all other non-Higgsable clusters.
abstract_unstemmed	Abstract We propose novel functional equations for the BPS partition functions of 6d (1, 0) SCFTs, which can be regarded as an elliptic version of Göttsche-Nakajima-Yoshioka’s K-theoretic blowup equations. From the viewpoint of geometric engineering, these are the generalized blowup equations for refined topological strings on certain local elliptic CalabiYau threefolds. We derive recursion formulas for elliptic genera of self-dual strings on the tensor branch from these functional equations and in this way obtain a universal approach for determining refined BPS invariants. As examples, we study in detail the minimal 6d SCFTs with SU(3) and SO(8) gauge symmetry. In companion papers, we will study the elliptic blowup equations for all other non-Higgsable clusters.
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score	7.400262

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Blowup equations for 6d SCFTs. Part I

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