TY - JOUR
T1 - Flat structures on the deformations of Gepner chiral rings
AU - Belavin, Alexander
AU - Belavin, Vladimir
N1 - Publisher Copyright:
© 2016, The Author(s).
PY - 2016/10/1
Y1 - 2016/10/1
N2 - We propose a simple method for the computation of the flat coordinates and Saito primitive forms on Frobenius manifolds of the deformations of Jacobi rings associated with isolated singularities. The method is based on using a conjecture about integral representations for the flat coordinates and on the Saito cohomology theory. This reduces the computation to a simple linear problem. We consider the case of the deformed Gepner chiral rings. The knowledge of the flat structures of Frobenius manifolds can be used for exact solution of the models of the topological conformal field theories corresponding to these chiral rings.
AB - We propose a simple method for the computation of the flat coordinates and Saito primitive forms on Frobenius manifolds of the deformations of Jacobi rings associated with isolated singularities. The method is based on using a conjecture about integral representations for the flat coordinates and on the Saito cohomology theory. This reduces the computation to a simple linear problem. We consider the case of the deformed Gepner chiral rings. The knowledge of the flat structures of Frobenius manifolds can be used for exact solution of the models of the topological conformal field theories corresponding to these chiral rings.
KW - 2D Gravity
KW - Conformal Field Models in String Theory
KW - Conformal and W Symmetry
KW - Topological Field Theories
UR - http://www.scopus.com/inward/record.url?scp=84994018014&partnerID=8YFLogxK
U2 - 10.1007/JHEP10(2016)128
DO - 10.1007/JHEP10(2016)128
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AN - SCOPUS:84994018014
SN - 1126-6708
VL - 2016
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
IS - 10
M1 - 128
ER -