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Naslov:Brill-Noether-general limit root bundles: absence of vector-like exotics in F-theory standard models
Avtorji:ID Bies, Martin (Avtor)
ID Cvetič, Mirjam (Avtor)
ID Donagi, Ron (Avtor)
ID Ong, Marielle (Avtor)
Datoteke:.pdf Brill-Noether-general_limit_root_bun-Bies-2022.pdf (946,02 KB)
MD5: 8829B2C765E742C665C22FF665CD0941
 
URL https://link.springer.com/article/10.1007/JHEP11(2022)004
 
Jezik:Angleški jezik
Vrsta gradiva:Znanstveno delo
Tipologija:1.01 - Izvirni znanstveni članek
Organizacija:UM - Univerza v Mariboru
Opis:Root bundles appear prominently in studies of vector-like spectra of 4d F-theory compactifications. Of particular importance to phenomenology are the Quadrillion F-theory Standard Models (F-theory QSMs). In this work, we analyze a superset of the physical root bundles whose cohomologies encode the vector-like spectra for the matter representations (3, 2)(1/6), ((3) over bar ,1)(-2/3) and (1,1)(1) For the family B-3(Delta(4)degrees) consisting of O(10(11)) F-theory QSM geometries, we argue that more than 99.995% of the roots in this superset have no vector-like exotics. This indicates that absence of vector-like exotics in those representations is a very likely scenario in the O(10(11)) QSM geometries B-3(Delta(4)degrees). The QSM geometries come in families of toric 3-folds B-3(Delta(4)degrees) obtained from triangulations of certain 3-dimensional polytopes Delta degrees. The matter curves in X-Sigma is an element of B-3(Delta(4)degrees) can be deformed to nodal curves which are the same for all spaces in B-3(Delta(4)degrees). Therefore, one can probe the vector-like spectra on the entire family B-3(Delta(4)degrees) from studies of a few nodal curves. We compute the cohomologies of all limit roots on these nodal curves. In our applications, for the majority of limit roots the cohomologies are determined by line bundle cohomology on rational tree-like curves. For this, we present a computer algorithm. The remaining limit roots, corresponding to circuit-like graphs, are handled by hand. The cohomologies are independent of the relative position of the nodes, except for a few circuits. On these jumping circuits, line bundle cohomologies can jump if nodes are specially aligned. This mirrors classical Brill-Noether jumps. B-3(Delta(4)degrees) admits a jumping circuit, but the root bundle constraints pick the canonical bundle and no jump happens.
Ključne besede:differential geometry, algebraic geometry, F-theory, string phenomenology, brane phenomenology
Status publikacije:Objavljeno
Verzija publikacije:Objavljena publikacija
Datum objave:02.11.2022
Leto izida:2022
Št. strani:str. II,1-70
Številčenje:št. 11, art. 004
PID:20.500.12556/DKUM-85055 Novo okno
UDK:514.7
COBISS.SI-ID:136983043 Novo okno
DOI:10.1007/JHEP11(2022)004 Novo okno
ISSN pri članku:1029-8479
Datum objave v DKUM:17.08.2023
Število ogledov:350
Število prenosov:35
Metapodatki:XML DC-XML DC-RDF
Področja:Ostalo
:
BIES, Martin, CVETIČ, Mirjam, DONAGI, Ron in ONG, Marielle, 2022, Brill-Noether-general limit root bundles: absence of vector-like exotics in F-theory standard models. The journal of high energy physics [na spletu]. 2022. Vol. 11, no. 004, p. ii,1-70. [Dostopano 27 april 2025]. DOI 10.1007/JHEP11(2022)004. Pridobljeno s: https://dk.um.si/IzpisGradiva.php?lang=slv&id=85055
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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.

Sekundarni jezik

Jezik:Slovenski jezik
Ključne besede:diferencialna geometrija, algebraična geometrija, F-teorija, fenomenologija strun, fenomenologija brane


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