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Naslov:Root bundles and towards exact matter spectra of F-theory MSSMs
Avtorji:ID Bies, Martin (Avtor)
ID Cvetič, Mirjam (Avtor)
ID Donagi, Ron (Avtor)
ID Liu, Mingqiang (Avtor)
ID Ong, Marielle (Avtor)
Datoteke:.pdf Root_bundles_andtowards_exact_matter_spectra_Bies_2021.pdf (979,06 KB)
MD5: F20F6A9895D2D8ED69EBBE4B5F880B54
 
URL https://link.springer.com/article/10.1007/JHEP09(2021)076
 
Jezik:Angleški jezik
Vrsta gradiva:Znanstveno delo
Tipologija:1.01 - Izvirni znanstveni članek
Organizacija:UM - Univerza v Mariboru
Opis:Motivated by the appearance of fractional powers of line bundles in studies of vector-like spectra in 4d F-theory compactifications, we analyze the structure and origin of these bundles. Fractional powers of line bundles are also known as root bundles and can be thought of as generalizations of spin bundles. We explain how these root bundles are linked to inequivalent F-theory gauge potentials of a G(4)-flux. While this observation is interesting in its own right, it is particularly valuable for F-theory Standard Model constructions. In aiming for MSSMs, it is desired to argue for the absence of vector-like exotics. We work out the root bundle constraints on all matter curves in the largest class of currently-known F-theory Standard Model constructions without chiral exotics and gauge coupling unification. On each matter curve, we conduct a systematic "bottom"-analysis of all solutions to the root bundle constraints and all spin bundles. Thereby, we derive a lower bound for the number of combinations of root bundles and spin bundles whose cohomologies satisfy the physical demand of absence of vector-like pairs. On a technical level, this systematic study is achieved by a well-known diagrammatic description of root bundles on nodal curves. We extend this description by a counting procedure, which determines the cohomologies of so-called limit root bundles on full blow-ups of nodal curves. By use of deformation theory, these results constrain the vector-like spectra on the smooth matter curves in the actual F-theory geometry.
Ključne besede:F-theory, differential geometry, algebraic geometry
Status publikacije:Objavljeno
Verzija publikacije:Objavljena publikacija
Poslano v recenzijo:16.04.2021
Datum sprejetja članka:25.08.2021
Datum objave:14.09.2021
Založnik:SISSA
Leto izida:2021
Št. strani:II, 63 str.
Številčenje:Št. 9, št. članka 76
PID:20.500.12556/DKUM-86157 Novo okno
UDK:517:52
COBISS.SI-ID:97935875 Novo okno
DOI:10.1007/JHEP09(2021)076 Novo okno
ISSN pri članku:1029-8479
Datum objave v DKUM:16.10.2023
Število ogledov:349
Število prenosov:29
Metapodatki:XML DC-XML DC-RDF
Področja:Ostalo
:
BIES, Martin, CVETIČ, Mirjam, DONAGI, Ron, LIU, Mingqiang in ONG, Marielle, 2021, Root bundles and towards exact matter spectra of F-theory MSSMs. The journal of high energy physics [na spletu]. 2021. Vol. Št. 9,  članka 76. [Dostopano 27 april 2025]. DOI 10.1007/JHEP09(2021)076. Pridobljeno s: https://dk.um.si/IzpisGradiva.php?lang=slv&id=86157
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Gradivo je del revije

Naslov:The journal of high energy physics
Skrajšan naslov:J. high energy phys.
Založnik:SISSA
ISSN:1029-8479
COBISS.SI-ID:1314148 Novo okno

Licence

Licenca:CC BY 4.0, Creative Commons Priznanje avtorstva 4.0 Mednarodna
Povezava:http://creativecommons.org/licenses/by/4.0/deed.sl
Opis:To je standardna licenca Creative Commons, ki daje uporabnikom največ možnosti za nadaljnjo uporabo dela, pri čemer morajo navesti avtorja.
Začetek licenciranja:14.09.2021

Sekundarni jezik

Jezik:Slovenski jezik
Ključne besede:F teorija, diferencialna geometrija, algebrska geometrija


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