Refined topological vertex with ON-planes

Kim, Sung‐Soo; Wei, Xing-Yue

doi:10.1007/jhep08(2022)006

Cited by 9 publications

(2 citation statements)

References 70 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The first approach is the ADHM description, which has been studied in previous works such as [10][11][12][13][14]. The second approach is the fivebrane construction, which has been extensively studied in [15][16][17][18][19][20][21][22][23][24][25][26]. Our main results are as follows: first, we demonstrate that the poles of the JK residue integral arising from the ADHM descriptions can be classified by 2d and 4d Young diagrams in the unrefined limit.…”

Section: Introductionmentioning

confidence: 68%

Instantons on Young diagrams with matters

Chen,

Jiang,

Nawata

et al. 2023

Preprint

View full text Add to dashboard Cite

show abstract

Section: Introductionmentioning

confidence: 68%

Instantons on Young diagrams with matters

Chen,

Jiang,

Nawata

et al. 2023

Preprint

View full text Add to dashboard Cite

show abstract

“…In section 3.3, we used the refined topological vertex to compute the Wilson loop expectation values for SU(2) theory from SU(2) theories with fundamental flavors. It is also interesting to recover our result in the Sp(1) theory via the refined topological vertex with ON-planes [88,89]. Even though we used the topological vertex to compute the partition function, the same partition function can also be computed from ADHM construction directly.…”

Section: Jhep08(2022)207mentioning

confidence: 93%

Topological strings and Wilson loops

Huang

Lee

Wang

2022

J. High Energ. Phys.

View full text Add to dashboard Cite

We propose the refined topological string correspondence to the expectation values of half-BPS Wilson loop operators in 5d $$ \mathcal{N} $$ N = 1 gauge theory partition function on the Omega-deformed background $$ {\mathbb{R}}_{\upepsilon_{1,2}}^4 $$ ℝ ϵ 1 , 2 4 × S1. We provide the refined topological vertex method and the refined holomorphic anomaly equation method in the topological string theory, from which we have exact computations on the 5d Wilson loops partition functions in both A- and B-models. Finally, with the exact results we have in B-model, we recover the quantum periods of local ℙ1 × ℙ1 model and local ℙ2 model in the study of quantum geometry and we further give a refined generalization of A-period.

show abstract

Discovering T-dualities of little string theories

Bhardwaj

2024

J. High Energ. Phys.

View full text Add to dashboard Cite

We describe a general method for deducing T-dualities of little string theories, which are dualities between these theories that arise when they are compactified on circle. The method works for both untwisted and twisted circle compactifications of little string theories and is based on surface geometries associated to these circle compactifications. The surface geometries describe information about Calabi-Yau threefolds on which M-theory can be compactified to construct the corresponding circle compactified little string theories. Using this method, we deduce at least one T-dual, and in some cases multiple T-duals, for untwisted and twisted circle compactifications of most of the little string theories that can be described on their tensor branches in terms of a 6d supersymmetric gauge theory with a simple non-abelian gauge group, which are also known as rank-0 little string theories. This includes little string theories carrying $$ \mathcal{N} $$ N = (1, 1) and $$ \mathcal{N} $$ N = (1, 0) supersymmetries. For many, but not all, circle compactifications of $$ \mathcal{N} $$ N = (1, 1) little string theories, we have T-dualities that realize Langlands dualities between affine Lie algebras. Along the way, we find another discrete theta angle distinct from 0 and π for an E-string node.

show abstract

Refined topological vertex with ON-planes

Cited by 9 publications

References 70 publications

Instantons on Young diagrams with matters

Instantons on Young diagrams with matters

Topological strings and Wilson loops

Discovering T-dualities of little string theories

Contact Info

Product

Resources

About