Topological vertex formalism with O5-plane

Abstract

We propose new topological vertex formalism for Type IIB $(p,q)$ 5-brane web with an O5-plane. We apply our proposal to 5d $\mathcal{N}=1$ Sp(1) gauge theory with $N_f=0,1,8$ flavors to compute the topological string partition functions and check the agreement with the known results. Especially for the $N_f=8$ case, which corresponds to E-string theory on a circle, we obtain a new, yet simple, expression of the partition function with two Young diagram sum.

v1: 6 pages, 5 figures, v2: published version, v3: a typo corrected, v4: journal version

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Cited by in corpus (23)

• Universal Features of BPS Strings in Six-dimensional SCFTs
• Reflection states in Ding-Iohara-Miki algebra and brane-web for D-type quiver
• Rank-3 antisymmetric matter on 5-brane webs
• Bootstrapping BPS spectra of 5d/6d field theories
• Quantum toroidal algebras and solvable structures in gauge/string theory
• More on topological vertex formalism for 5-brane webs with O5-plane
• Instanton counting and O-vertex
• Quasi-Jacobi Forms, Elliptic Genera and Strings in Four Dimensions
• Higgsing and Twisting of 6d $D_N$ gauge theories
• Web Construction of ABCDEFG and Affine Quiver Gauge Theories
• Topological strings and Wilson loops
• Refined topological vertex with ON-planes
• Surface defects on E-string from 5-brane webs
• 6d/5d exceptional gauge theories from web diagrams
• Thermodynamic limit of Nekrasov partition function for 5-brane web with O5-plane
• 5D N=1 super QFT: symplectic quivers
• Refined topological vertex for a 5D $Sp(N)$ gauge theory with antisymmetric matter
• Instantons on Young diagrams with matters
• Orthosymplectic Superinstanton Counting and Brane Dynamics
• 3d $\mathcal{N}=2$ Brane Webs and Quiver Matrices
• O-vertex, O7${}^{+}$-plane, and Topological Vertex
• Refined open topological strings revisited
• Bethe/Gauge Correspondence for $A_N$ Spin Chains with Integrable Boundaries