Monodromy of inhomogeneous Picard-Fuchs equations
We study low-degree curves on one-parameter Calabi-Yau hypersurfaces, and their contribution to the space-time superpotential in a superstring compactification with D-branes. We identify all lines that are invariant under at least one permutation of the homogeneous variables, and calculate the inhom...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article (Journal) Chapter/Article |
| Language: | English |
| Published: |
2013
|
| In: |
Arxiv
|
| Online Access: | Verlag, kostenfrei, Volltext: http://arxiv.org/abs/1309.0490
|
| Author Notes: | Robert A. Jefferson, Johannes Walcher |
MARC
| LEADER | 00000caa a2200000 c 4500 | ||
|---|---|---|---|
| 001 | 1569771790 | ||
| 003 | DE-627 | ||
| 005 | 20220814071550.0 | ||
| 007 | cr uuu---uuuuu | ||
| 008 | 180213s2013 xx |||||o 00| ||eng c | ||
| 035 | |a (DE-627)1569771790 | ||
| 035 | |a (DE-576)499771796 | ||
| 035 | |a (DE-599)BSZ499771796 | ||
| 035 | |a (OCoLC)1340987280 | ||
| 040 | |a DE-627 |b ger |c DE-627 |e rda | ||
| 041 | |a eng | ||
| 084 | |a 27 |2 sdnb | ||
| 100 | 1 | |a Jefferson, Robert A. |e VerfasserIn |0 (DE-588)1152292714 |0 (DE-627)1013782348 |0 (DE-576)499801628 |4 aut | |
| 245 | 1 | 0 | |a Monodromy of inhomogeneous Picard-Fuchs equations |c Robert A. Jefferson, Johannes Walcher |
| 264 | 1 | |c 2013 | |
| 300 | |a 35 | ||
| 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 13.02.2018 | ||
| 520 | |a We study low-degree curves on one-parameter Calabi-Yau hypersurfaces, and their contribution to the space-time superpotential in a superstring compactification with D-branes. We identify all lines that are invariant under at least one permutation of the homogeneous variables, and calculate the inhomogeneous Picard-Fuchs equation. The irrational large volume expansions satisfy the recently discovered algebraic integrality. The bulk of our work is a careful study of the topological integrality of monodromy under navigation around the complex structure moduli space. This is a powerful method to recover the single undetermined integration constant that is itself also of arithmetic significance. The examples feature a variety of residue fields, both abelian and non-abelian extensions of the rationals, thereby providing a glimpse of the arithmetic D-brane landscape. | ||
| 650 | 4 | |a High Energy Physics - Theory | |
| 650 | 4 | |a Mathematics - Algebraic Geometry | |
| 700 | 1 | |a Walcher, Johannes |d 1973- |e VerfasserIn |0 (DE-588)1089078978 |0 (DE-627)85098114X |0 (DE-576)459955098 |4 aut | |
| 773 | 0 | 8 | |i Enthalten in |t Arxiv |d Ithaca, NY : Cornell University, 1991 |g (2015) Artikel-Nummer 1309.0490, 35 Seiten |h Online-Ressource |w (DE-627)509006531 |w (DE-600)2225896-6 |w (DE-576)28130436X |7 nnas |a Monodromy of inhomogeneous Picard-Fuchs equations |
| 773 | 1 | 8 | |g year:2015 |g extent:35 |a Monodromy of inhomogeneous Picard-Fuchs equations |
| 856 | 4 | 0 | |u http://arxiv.org/abs/1309.0490 |x Verlag |z kostenfrei |3 Volltext |
| 951 | |a AR | ||
| 992 | |a 20180213 | ||
| 993 | |a Article | ||
| 998 | |g 1089078978 |a Walcher, Johannes |m 1089078978:Walcher, Johannes |p 2 |y j | ||
| 999 | |a KXP-PPN1569771790 |e 2998863523 | ||
| BIB | |a Y | ||
| JSO | |a {"title":[{"title":"Monodromy of inhomogeneous Picard-Fuchs equations","title_sort":"Monodromy of inhomogeneous Picard-Fuchs equations"}],"person":[{"roleDisplay":"VerfasserIn","display":"Jefferson, Robert A.","role":"aut","family":"Jefferson","given":"Robert A."},{"roleDisplay":"VerfasserIn","display":"Walcher, Johannes","role":"aut","family":"Walcher","given":"Johannes"}],"type":{"bibl":"chapter","media":"Online-Ressource"},"note":["Gesehen am 13.02.2018"],"language":["eng"],"recId":"1569771790","origin":[{"dateIssuedKey":"2013","dateIssuedDisp":"2013"}],"id":{"eki":["1569771790"]},"name":{"displayForm":["Robert A. Jefferson, Johannes Walcher"]},"physDesc":[{"extent":"35 S."}],"relHost":[{"origin":[{"publisherPlace":"Ithaca, NY ; [Erscheinungsort nicht ermittelbar]","dateIssuedDisp":"1991-","dateIssuedKey":"1991","publisher":"Cornell University ; Arxiv.org"}],"id":{"zdb":["2225896-6"],"eki":["509006531"]},"physDesc":[{"extent":"Online-Ressource"}],"title":[{"title_sort":"Arxiv","title":"Arxiv"}],"type":{"media":"Online-Ressource","bibl":"edited-book"},"disp":"Monodromy of inhomogeneous Picard-Fuchs equationsArxiv","note":["Gesehen am 28.05.2024"],"language":["eng"],"recId":"509006531","pubHistory":["1991 -"],"part":{"year":"2015","text":"(2015) Artikel-Nummer 1309.0490, 35 Seiten","extent":"35"},"titleAlt":[{"title":"Arxiv.org"},{"title":"Arxiv.org e-print archive"},{"title":"Arxiv e-print archive"},{"title":"De.arxiv.org"}]}]} | ||
| SRT | |a JEFFERSONRMONODROMYO2013 | ||