Bounding the heat trace of a Calabi-Yau manifold
The SCHOK bound states that the number of marginal deformations of certain two-dimensional conformal field theories is bounded linearly from above by the number of relevant operators. In conformal field theories defined via sigma models into Calabi-Yau manifolds, relevant operators can be estimated,...
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Dokumenttyp: | Article (Journal) Kapitel/Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
2015
|
| In: |
Arxiv
|
| Online-Zugang: | Verlag, kostenfrei, Volltext: http://arxiv.org/abs/1506.08407
|
| Verfasserangaben: | Marc-Antoine Fiset, Johannes Walcher |
MARC
| LEADER | 00000caa a2200000 c 4500 | ||
|---|---|---|---|
| 001 | 1569770220 | ||
| 003 | DE-627 | ||
| 005 | 20220814071523.0 | ||
| 007 | cr uuu---uuuuu | ||
| 008 | 180213s2015 xx |||||o 00| ||eng c | ||
| 035 | |a (DE-627)1569770220 | ||
| 035 | |a (DE-576)499770226 | ||
| 035 | |a (DE-599)BSZ499770226 | ||
| 035 | |a (OCoLC)1340987034 | ||
| 040 | |a DE-627 |b ger |c DE-627 |e rda | ||
| 041 | |a eng | ||
| 084 | |a 27 |2 sdnb | ||
| 100 | 1 | |a Fiset, Marc-Antoine |e VerfasserIn |0 (DE-588)1152291270 |0 (DE-627)1013779460 |0 (DE-576)499799623 |4 aut | |
| 245 | 1 | 0 | |a Bounding the heat trace of a Calabi-Yau manifold |c Marc-Antoine Fiset, Johannes Walcher |
| 264 | 1 | |c 2015 | |
| 300 | |a 32 | ||
| 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 25.02.2020 | ||
| 520 | |a The SCHOK bound states that the number of marginal deformations of certain two-dimensional conformal field theories is bounded linearly from above by the number of relevant operators. In conformal field theories defined via sigma models into Calabi-Yau manifolds, relevant operators can be estimated, in the point-particle approximation, by the low-lying spectrum of the scalar Laplacian on the manifold. In the strict large volume limit, the standard asymptotic expansion of Weyl and Minakshisundaram-Pleijel diverges with the higher-order curvature invariants. We propose that it would be sufficient to find an a priori uniform bound on the trace of the heat kernel for large but finite volume. As a first step in this direction, we then study the heat trace asymptotics, as well as the actual spectrum of the scalar Laplacian, in the vicinity of a conifold singularity. The eigenfunctions can be written in terms of confluent Heun functions, the analysis of which gives evidence that regions of large curvature will not prevent the existence of a bound of this type. This is also in line with general mathematical expectations about spectral continuity for manifolds with conical singularities. A sharper version of our results could, in combination with the SCHOK bound, provide a basis for a global restriction on the dimension of the moduli space of Calabi-Yau manifolds. | ||
| 650 | 4 | |a High Energy Physics - Theory | |
| 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 1506.08407, 32 Seiten |h Online-Ressource |w (DE-627)509006531 |w (DE-600)2225896-6 |w (DE-576)28130436X |7 nnas |a Bounding the heat trace of a Calabi-Yau manifold |
| 773 | 1 | 8 | |g year:2015 |g extent:32 |a Bounding the heat trace of a Calabi-Yau manifold |
| 856 | 4 | 0 | |u http://arxiv.org/abs/1506.08407 |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-PPN1569770220 |e 2998853765 | ||
| BIB | |a Y | ||
| JSO | |a {"title":[{"title_sort":"Bounding the heat trace of a Calabi-Yau manifold","title":"Bounding the heat trace of a Calabi-Yau manifold"}],"person":[{"given":"Marc-Antoine","family":"Fiset","role":"aut","display":"Fiset, Marc-Antoine","roleDisplay":"VerfasserIn"},{"given":"Johannes","family":"Walcher","role":"aut","roleDisplay":"VerfasserIn","display":"Walcher, Johannes"}],"language":["eng"],"recId":"1569770220","note":["Gesehen am 25.02.2020"],"type":{"bibl":"chapter","media":"Online-Ressource"},"id":{"eki":["1569770220"]},"origin":[{"dateIssuedKey":"2015","dateIssuedDisp":"2015"}],"name":{"displayForm":["Marc-Antoine Fiset, Johannes Walcher"]},"relHost":[{"id":{"zdb":["2225896-6"],"eki":["509006531"]},"origin":[{"publisherPlace":"Ithaca, NY ; [Erscheinungsort nicht ermittelbar]","dateIssuedDisp":"1991-","dateIssuedKey":"1991","publisher":"Cornell University ; Arxiv.org"}],"physDesc":[{"extent":"Online-Ressource"}],"title":[{"title_sort":"Arxiv","title":"Arxiv"}],"titleAlt":[{"title":"Arxiv.org"},{"title":"Arxiv.org e-print archive"},{"title":"Arxiv e-print archive"},{"title":"De.arxiv.org"}],"part":{"extent":"32","text":"(2015) Artikel-Nummer 1506.08407, 32 Seiten","year":"2015"},"pubHistory":["1991 -"],"language":["eng"],"recId":"509006531","disp":"Bounding the heat trace of a Calabi-Yau manifoldArxiv","type":{"bibl":"edited-book","media":"Online-Ressource"},"note":["Gesehen am 28.05.2024"]}],"physDesc":[{"extent":"32 S."}]} | ||
| SRT | |a FISETMARCABOUNDINGTH2015 | ||