scholarly journals Frobenius manifolds and Virasoro constraints

1999 ◽  
Vol 5 (4) ◽  
pp. 423-466 ◽  
Author(s):  
B. Dubrovin ◽  
Y. Zhang
Keyword(s):  
Frobenius Manifolds ◽  
Virasoro Constraints

scholarly journals Exact SUSY Wilson loops on S3 from q-Virasoro constraints

2019 ◽  
Vol 2019 (12) ◽  
Author(s):  
Luca Cassia ◽  
Rebecca Lodin ◽  
Aleksandr Popolitov ◽  
Maxim Zabzine
Keyword(s):  
Wilson Loops ◽  
Virasoro Constraints

scholarly journals W-representation of Rainbow tensor model

2021 ◽  
Vol 2021 (5) ◽  
Author(s):  
Bei Kang ◽  
Lu-Yao Wang ◽  
Ke Wu ◽  
Jie Yang ◽  
Wei-Zhong Zhao
Keyword(s):  
Partition Function ◽  
Matrix Model ◽  
Crucial Role ◽  
Elementary Function ◽  
Tensor Model ◽  
Witt Algebra ◽  
Virasoro Constraints ◽  
Compact Expression ◽  
Non Gaussian ◽  
Dual Expression

Abstract We analyze the rainbow tensor model and present the Virasoro constraints, where the constraint operators obey the Witt algebra and null 3-algebra. We generalize the method of W-representation in matrix model to the rainbow tensor model, where the operators preserving and increasing the grading play a crucial role. It is shown that the rainbow tensor model can be realized by acting on elementary function with exponent of the operator increasing the grading. We derive the compact expression of correlators and apply it to several models, i.e., the red tensor model, Aristotelian tensor model and r = 4 rainbow tensor model. Furthermore, we discuss the case of the non-Gaussian red tensor model and present a dual expression for partition function through differentiation.

scholarly journals Solving Virasoro constraints in matrix models

2005 ◽  
Vol 53 (5-6) ◽  
pp. 512-521 ◽  
Author(s):  
A. Alexandrov ◽  
A. Mironov ◽  
A. Morozov
Keyword(s):  
Matrix Models ◽  
Virasoro Constraints

scholarly journals Virasoro constraints for quantum cohomology

1998 ◽  
Vol 50 (3) ◽  
pp. 537-590 ◽  
Author(s):  
Xiaobo Liu ◽  
Gang Tian
Keyword(s):  
Quantum Cohomology ◽  
Virasoro Constraints

scholarly journals NON-PERTURBATIVE SOLUTION OF THE SUPER-VIRASORO CONSTRAINTS

1993 ◽  
Vol 08 (13) ◽  
pp. 1205-1214 ◽  
Author(s):  
K. BECKER ◽  
M. BECKER
Keyword(s):  
Partition Function ◽  
Matrix Model ◽  
Scaling Limit ◽  
Virasoro Constraints ◽  
Perturbative Solution ◽  
The One ◽  
Genus Expansion ◽  
Double Scaling Limit

We present the solution of the discrete super-Virasoro constraints to all orders of the genus expansion. Integrating over the fermionic variables we get a representation of the partition function in terms of the one-matrix model. We also obtain the non-perturbative solution of the super-Virasoro constraints in the double scaling limit but do not find agreement between our flows and the known supersymmetric extensions of KdV.

Explicit examples of Hurwitz Frobenius manifolds in genus one

2020 ◽  
Vol 61 (1) ◽  
pp. 013501
Author(s):  
Miguel Cutimanco ◽  
Vasilisa Shramchenko
Keyword(s):  
Frobenius Manifolds ◽  
Genus One

scholarly journals Correction to: Solving q-Virasoro constraints

2020 ◽  
Vol 110 (10) ◽  
pp. 2855-2855
Author(s):  
Rebecca Lodin ◽  
Aleksandr Popolitov ◽  
Shamil Shakirov ◽  
Maxim Zabzine
Keyword(s):  
Virasoro Constraints

scholarly journals Extended affine Weyl groups of BCD-type: Their Frobenius manifolds and Landau–Ginzburg superpotentials

2019 ◽  
Vol 351 ◽  
pp. 897-946 ◽  
Author(s):  
Boris Dubrovin ◽  
Ian A.B. Strachan ◽  
Youjin Zhang ◽  
Dafeng Zuo
Keyword(s):  
Weyl Groups ◽  
Affine Weyl Groups ◽  
Frobenius Manifolds
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