Abstract
We describe all smooth solutions of the two-function tt∗-Toda equations (a version of the tt∗equations or equations for harmonic maps into SLnR/SOn) in terms of (1) asymptotic data, (2) holomorphic data, and (3) monodromy data, and we compute all of this data explicitly. This allows us, in particular, to find all solutions with integral Stokes data. These include solutions associated to non-linear sigma models (quantum cohomology) or Landau-Ginzburg models (unfoldings of singularities), as conjectured by Cecotti and Vafa in the 1990s.
| Original language | English |
|---|---|
| Pages (from-to) | 11745-11784 |
| Number of pages | 40 |
| Journal | International Mathematics Research Notices |
| Volume | 2015 |
| Issue number | 22 |
| DOIs | |
| Publication status | Published - 2015 |
Fingerprint
ASJC Scopus subject areas
- Mathematics(all)
Cite this
Isomonodromy aspects of the tt∗equations of cecotti and vafa I. Stokes Data. / Guest, Martin; Its, Alexander R.; Lin, Chang Shou.
In: International Mathematics Research Notices, Vol. 2015, No. 22, 2015, p. 11745-11784.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Isomonodromy aspects of the tt∗equations of cecotti and vafa I. Stokes Data
AU - Guest, Martin
AU - Its, Alexander R.
AU - Lin, Chang Shou
PY - 2015
Y1 - 2015
N2 - We describe all smooth solutions of the two-function tt∗-Toda equations (a version of the tt∗equations or equations for harmonic maps into SLnR/SOn) in terms of (1) asymptotic data, (2) holomorphic data, and (3) monodromy data, and we compute all of this data explicitly. This allows us, in particular, to find all solutions with integral Stokes data. These include solutions associated to non-linear sigma models (quantum cohomology) or Landau-Ginzburg models (unfoldings of singularities), as conjectured by Cecotti and Vafa in the 1990s.
AB - We describe all smooth solutions of the two-function tt∗-Toda equations (a version of the tt∗equations or equations for harmonic maps into SLnR/SOn) in terms of (1) asymptotic data, (2) holomorphic data, and (3) monodromy data, and we compute all of this data explicitly. This allows us, in particular, to find all solutions with integral Stokes data. These include solutions associated to non-linear sigma models (quantum cohomology) or Landau-Ginzburg models (unfoldings of singularities), as conjectured by Cecotti and Vafa in the 1990s.
UR - http://www.scopus.com/inward/record.url?scp=84982083965&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84982083965&partnerID=8YFLogxK
U2 - 10.1093/imrn/rnu250
DO - 10.1093/imrn/rnu250
M3 - Article
AN - SCOPUS:84982083965
VL - 2015
SP - 11745
EP - 11784
JO - International Mathematics Research Notices
JF - International Mathematics Research Notices
SN - 1073-7928
IS - 22
ER -