Gauge backgrounds and zero-mode counting in F-theory
Computing the exact spectrum of charged massless matter is a crucial step towards understanding the effective field theory describing F-theory vacua in four dimensions. In this work we further develop a coherent framework to determine the charged massless matter in F-theory compactified on elliptic...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article (Journal) Chapter/Article |
| Language: | English |
| Published: |
2017
|
| In: |
Arxiv
|
| Online Access: | Verlag, kostenfrei, Volltext: http://arxiv.org/abs/1706.04616
|
| Author Notes: | Martin Bies, Christoph Mayrhofer, and Timo Weigand |
MARC
| LEADER | 00000caa a2200000 c 4500 | ||
|---|---|---|---|
| 001 | 1566485371 | ||
| 003 | DE-627 | ||
| 005 | 20220814045148.0 | ||
| 007 | cr uuu---uuuuu | ||
| 008 | 171218s2017 xx |||||o 00| ||eng c | ||
| 035 | |a (DE-627)1566485371 | ||
| 035 | |a (DE-576)496485377 | ||
| 035 | |a (DE-599)BSZ496485377 | ||
| 035 | |a (OCoLC)1340983386 | ||
| 040 | |a DE-627 |b ger |c DE-627 |e rda | ||
| 041 | |a eng | ||
| 084 | |a 29 |2 sdnb | ||
| 100 | 1 | |a Bies, Martin |d 1987- |e VerfasserIn |0 (DE-588)1093236248 |0 (DE-627)853200211 |0 (DE-576)462652998 |4 aut | |
| 245 | 1 | 0 | |a Gauge backgrounds and zero-mode counting in F-theory |c Martin Bies, Christoph Mayrhofer, and Timo Weigand |
| 264 | 1 | |c 2017 | |
| 300 | |a 103 | ||
| 336 | |a Text |b txt |2 rdacontent | ||
| 337 | |a Computermedien |b c |2 rdamedia | ||
| 338 | |a Online-Ressource |b cr |2 rdacarrier | ||
| 500 | |a Gesehen am 18.12.2017 | ||
| 520 | |a Computing the exact spectrum of charged massless matter is a crucial step towards understanding the effective field theory describing F-theory vacua in four dimensions. In this work we further develop a coherent framework to determine the charged massless matter in F-theory compactified on elliptic fourfolds, and demonstrate its application in a concrete example. The gauge background is represented, via duality with M-theory, by algebraic cycles modulo rational equivalence. Intersection theory within the Chow ring allows us to extract coherent sheaves on the base of the elliptic fibration whose cohomology groups encode the charged zero-mode spectrum. The dimensions of these cohomology groups are computed with the help of modern techniques from algebraic geometry, which we implement in the software gap. We exemplify this approach in models with an Abelian and non-Abelian gauge group and observe jumps in the exact massless spectrum as the complex structure moduli are varied. An extended mathematical appendix gives a self-contained introduction to the algebro-geometric concepts underlying our framework. | ||
| 650 | 4 | |a High Energy Physics - Theory | |
| 700 | 1 | |a Mayrhofer, Christoph |d 1980- |e VerfasserIn |0 (DE-588)1057937908 |0 (DE-627)795549962 |0 (DE-576)413895076 |4 aut | |
| 700 | 1 | |a Weigand, Timo |d 1979- |e VerfasserIn |0 (DE-588)131945610 |0 (DE-627)516190067 |0 (DE-576)298853256 |4 aut | |
| 773 | 0 | 8 | |i Enthalten in |t Arxiv |d Ithaca, NY : Cornell University, 1991 |g (2017) Artikel-Nummer 1706.04616, 103 Seiten |h Online-Ressource |w (DE-627)509006531 |w (DE-600)2225896-6 |w (DE-576)28130436X |7 nnas |a Gauge backgrounds and zero-mode counting in F-theory |
| 773 | 1 | 8 | |g year:2017 |g extent:103 |a Gauge backgrounds and zero-mode counting in F-theory |
| 856 | 4 | 0 | |u http://arxiv.org/abs/1706.04616 |x Verlag |z kostenfrei |3 Volltext |
| 951 | |a AR | ||
| 992 | |a 20171218 | ||
| 993 | |a Article | ||
| 998 | |g 131945610 |a Weigand, Timo |m 131945610:Weigand, Timo |d 130000 |d 130300 |e 130000PW131945610 |e 130300PW131945610 |k 0/130000/ |k 1/130000/130300/ |p 3 |y j | ||
| 998 | |g 1093236248 |a Bies, Martin |m 1093236248:Bies, Martin |d 130000 |d 130300 |e 130000PB1093236248 |e 130300PB1093236248 |k 0/130000/ |k 1/130000/130300/ |p 1 |x j | ||
| 999 | |a KXP-PPN1566485371 |e 2990141812 | ||
| BIB | |a Y | ||
| JSO | |a {"name":{"displayForm":["Martin Bies, Christoph Mayrhofer, and Timo Weigand"]},"id":{"eki":["1566485371"]},"origin":[{"dateIssuedDisp":"2017","dateIssuedKey":"2017"}],"relHost":[{"physDesc":[{"extent":"Online-Ressource"}],"origin":[{"publisher":"Cornell University ; Arxiv.org","dateIssuedKey":"1991","dateIssuedDisp":"1991-","publisherPlace":"Ithaca, NY ; [Erscheinungsort nicht ermittelbar]"}],"id":{"eki":["509006531"],"zdb":["2225896-6"]},"pubHistory":["1991 -"],"titleAlt":[{"title":"Arxiv.org"},{"title":"Arxiv.org e-print archive"},{"title":"Arxiv e-print archive"},{"title":"De.arxiv.org"}],"part":{"extent":"103","text":"(2017) Artikel-Nummer 1706.04616, 103 Seiten","year":"2017"},"type":{"bibl":"edited-book","media":"Online-Ressource"},"disp":"Gauge backgrounds and zero-mode counting in F-theoryArxiv","note":["Gesehen am 28.05.2024"],"language":["eng"],"recId":"509006531","title":[{"title":"Arxiv","title_sort":"Arxiv"}]}],"physDesc":[{"extent":"103 S."}],"person":[{"role":"aut","roleDisplay":"VerfasserIn","display":"Bies, Martin","given":"Martin","family":"Bies"},{"family":"Mayrhofer","given":"Christoph","roleDisplay":"VerfasserIn","display":"Mayrhofer, Christoph","role":"aut"},{"display":"Weigand, Timo","roleDisplay":"VerfasserIn","role":"aut","family":"Weigand","given":"Timo"}],"title":[{"title_sort":"Gauge backgrounds and zero-mode counting in F-theory","title":"Gauge backgrounds and zero-mode counting in F-theory"}],"recId":"1566485371","language":["eng"],"type":{"media":"Online-Ressource","bibl":"chapter"},"note":["Gesehen am 18.12.2017"]} | ||
| SRT | |a BIESMARTINGAUGEBACKG2017 | ||