Algebraic cycles and local anomalies in F-theory
We introduce a set of identities in the cohomology ring of elliptic fibrations which are equivalent to the cancellation of gauge and mixed gauge-gravitational anomalies in F-theory compactifications to four and six dimensions. The identities consist in (co)homological relations between complex codim...
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Dokumenttyp: | Article (Journal) Kapitel/Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
2017
|
| In: |
Arxiv
|
| Online-Zugang: | Verlag, kostenfrei, Volltext: http://arxiv.org/abs/1706.08528
|
| Verfasserangaben: | Martin Bies, Christoph Mayrhofer, and Timo Weigand |
MARC
| LEADER | 00000caa a2200000 c 4500 | ||
|---|---|---|---|
| 001 | 1566484944 | ||
| 003 | DE-627 | ||
| 005 | 20220814045136.0 | ||
| 007 | cr uuu---uuuuu | ||
| 008 | 171218s2017 xx |||||o 00| ||eng c | ||
| 035 | |a (DE-627)1566484944 | ||
| 035 | |a (DE-576)49648494X | ||
| 035 | |a (DE-599)BSZ49648494X | ||
| 035 | |a (OCoLC)1340983543 | ||
| 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 Algebraic cycles and local anomalies in F-theory |c Martin Bies, Christoph Mayrhofer, and Timo Weigand |
| 264 | 1 | |c 2017 | |
| 300 | |a 45 | ||
| 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 We introduce a set of identities in the cohomology ring of elliptic fibrations which are equivalent to the cancellation of gauge and mixed gauge-gravitational anomalies in F-theory compactifications to four and six dimensions. The identities consist in (co)homological relations between complex codimension-two cycles. The same set of relations, once evaluated on elliptic Calabi-Yau three-folds and four-folds, is shown to universally govern the structure of anomalies and their Green-Schwarz cancellation in six- and four-dimensional F-theory vacua, respectively. We furthermore conjecture that these relations hold not only within the cohomology ring, but even at the level of the Chow ring, i.e. as relations among codimension-two cycles modulo rational equivalence. We verify this conjecture in non-trivial examples with Abelian and non-Abelian gauge groups factors. Apart from governing the structure of local anomalies, the identities in the Chow ring relate different types of gauge backgrounds on elliptically fibred Calabi-Yau four-folds. | ||
| 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 1706.08528, 45 Seiten |h Online-Ressource |w (DE-627)509006531 |w (DE-600)2225896-6 |w (DE-576)28130436X |7 nnas |a Algebraic cycles and local anomalies in F-theory |
| 773 | 1 | 8 | |g year:2017 |g extent:45 |a Algebraic cycles and local anomalies in F-theory |
| 856 | 4 | 0 | |u http://arxiv.org/abs/1706.08528 |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-PPN1566484944 |e 2990141014 | ||
| BIB | |a Y | ||
| JSO | |a {"type":{"media":"Online-Ressource","bibl":"chapter"},"note":["Gesehen am 18.12.2017"],"recId":"1566484944","language":["eng"],"title":[{"title_sort":"Algebraic cycles and local anomalies in F-theory","title":"Algebraic cycles and local anomalies in F-theory"}],"person":[{"role":"aut","display":"Bies, Martin","roleDisplay":"VerfasserIn","given":"Martin","family":"Bies"},{"family":"Mayrhofer","given":"Christoph","display":"Mayrhofer, Christoph","roleDisplay":"VerfasserIn","role":"aut"},{"given":"Timo","family":"Weigand","role":"aut","roleDisplay":"VerfasserIn","display":"Weigand, Timo"}],"physDesc":[{"extent":"45 S."}],"relHost":[{"origin":[{"publisherPlace":"Ithaca, NY ; [Erscheinungsort nicht ermittelbar]","publisher":"Cornell University ; Arxiv.org","dateIssuedKey":"1991","dateIssuedDisp":"1991-"}],"id":{"eki":["509006531"],"zdb":["2225896-6"]},"physDesc":[{"extent":"Online-Ressource"}],"title":[{"title":"Arxiv","title_sort":"Arxiv"}],"note":["Gesehen am 28.05.2024"],"disp":"Algebraic cycles and local anomalies in F-theoryArxiv","type":{"bibl":"edited-book","media":"Online-Ressource"},"language":["eng"],"recId":"509006531","pubHistory":["1991 -"],"titleAlt":[{"title":"Arxiv.org"},{"title":"Arxiv.org e-print archive"},{"title":"Arxiv e-print archive"},{"title":"De.arxiv.org"}],"part":{"year":"2017","extent":"45","text":"(2017) Artikel-Nummer 1706.08528, 45 Seiten"}}],"origin":[{"dateIssuedDisp":"2017","dateIssuedKey":"2017"}],"id":{"eki":["1566484944"]},"name":{"displayForm":["Martin Bies, Christoph Mayrhofer, and Timo Weigand"]}} | ||
| SRT | |a BIESMARTINALGEBRAICC2017 | ||