TY - JOUR
T1 - Refined geometric transition and qq-characters
AU - Kimura, Taro
AU - Mori, Hironori
AU - Sugimoto, Yuji
N1 - Funding Information:
We would like to thank Shamil Shakirov, Masato Taki, Satoshi Yamaguchi, and Yegor Zenkevich for giving helpful comments. The work of T. K. was supported in part by Keio Gijuku Academic Development Funds, JSPS Grant-in-Aid for Scientific Research (No. JP17K18090), the MEXT-Supported Program for the Strategic Research Foundation at Private Universities “Topological Science” (No. S1511006), and JSPS Grant-in-Aid for Scientific Research on Innovative Areas “Topological Materials Science” (No. JP15H05855). The work of H. M. and Y. S. was supported in part by the JSPS Research Fellowship for Young Scientists.
Publisher Copyright:
© 2018, The Author(s).
PY - 2018/1/1
Y1 - 2018/1/1
N2 - We show the refinement of the prescription for the geometric transition in the refined topological string theory and, as its application, discuss a possibility to describe qq-characters from the string theory point of view. Though the suggested way to operate the refined geometric transition has passed through several checks, it is additionally found in this paper that the presence of the preferred direction brings a nontrivial effect. We provide the modified formula involving this point. We then apply our prescription of the refined geometric transition to proposing the stringy description of doubly quantized Seiberg-Witten curves called qq-characters in certain cases.
AB - We show the refinement of the prescription for the geometric transition in the refined topological string theory and, as its application, discuss a possibility to describe qq-characters from the string theory point of view. Though the suggested way to operate the refined geometric transition has passed through several checks, it is additionally found in this paper that the presence of the preferred direction brings a nontrivial effect. We provide the modified formula involving this point. We then apply our prescription of the refined geometric transition to proposing the stringy description of doubly quantized Seiberg-Witten curves called qq-characters in certain cases.
KW - Conformal and W Symmetry
KW - Differential and Algebraic Geometry
KW - Supersymmetric Gauge Theory
KW - Topological Strings
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U2 - 10.1007/JHEP01(2018)025
DO - 10.1007/JHEP01(2018)025
M3 - Article
AN - SCOPUS:85040526645
SN - 1126-6708
VL - 2018
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
IS - 1
M1 - 25
ER -