TY - JOUR
T1 - The WDVV solution E8(a1)
AU - Dinar, Yassir
AU - Sekiguchi, Jiro
N1 - Publisher Copyright:
© 2021
PY - 2021/12
Y1 - 2021/12
N2 - We calculate explicitly the quadratic solution to the WDVV equations that corresponds to the primitive conjugacy class E8(a1) by two different ways. The first one is using the associated classical W-algebra. The second one is solving the WDVV equation directly. Last we identify them by showing the coordinate transformation between them.
AB - We calculate explicitly the quadratic solution to the WDVV equations that corresponds to the primitive conjugacy class E8(a1) by two different ways. The first one is using the associated classical W-algebra. The second one is solving the WDVV equation directly. Last we identify them by showing the coordinate transformation between them.
KW - Classical W-algebras
KW - Drinfeld-Sokolov reduction
KW - Frobenius manifolds
KW - Slodowy slice
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U2 - 10.1016/j.geomphys.2021.104388
DO - 10.1016/j.geomphys.2021.104388
M3 - Article
AN - SCOPUS:85116559366
SN - 0393-0440
VL - 170
JO - Journal of Geometry and Physics
JF - Journal of Geometry and Physics
M1 - 104388
ER -