Tao Probing the End of the World

Abstract

We introduce a new type IIB 5-brane description for the E-string theory which is the world-volume theory on the M5-brane probing the end of the world M9-brane. The E-string in the new realization is depicted as spiral 5-branes web equipped with the cyclic structure which is key to uplifting to six dimensions. Utilizing the topological vertex to the 5-brane web configuration enables us to write down a combinatorial formula for the generating function of the E-string elliptic genera, namely the full partition function of topological strings on the local 1/2 K3 surface.

15 figures, 41 pages, v2: minor revision, v3: published version

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• The Refined Topological Vertex
• 6d Conformal Matter
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• Anomaly polynomial of general 6d SCFTs
• Asymptotically free N=2 theories and irregular conformal blocks
• Holography for (1,0) theories in six dimensions
• Strings of Minimal 6d SCFTs
• Instanton operators and symmetry enhancement in 5d supersymmetric gauge theories
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• Notes on Ding-Iohara algebra and AGT conjecture
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• E + E $\to$ H
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• Refined Chern-Simons Theory and Knot Homology
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Cited by in corpus (44)

• Three dimensional canonical singularity and five dimensional N=1 SCFT
• Explicit examples of DIM constraints for network matrix models
• More on 5d descriptions of 6d SCFTs
• Instanton operators and symmetry enhancement in 5d supersymmetric quiver gauge theories
• 3d Coulomb branch and 5d Higgs branch at infinite coupling
• Twisted Circle Compactifications of 6d SCFTs
• Dualities and 5-brane webs for 5d rank 2 SCFTs
• 6d SCFTs, 5d Dualities and Tao Web Diagrams
• 5-brane webs for 5d $\mathcal{N}=1$ $G_2$ gauge theories
• Warped $Ad{S}_6\times S^2$ in Type IIB supergravity III: Global solutions with seven-branes
• Topological Strings on Singular Elliptic Calabi-Yau 3-folds and Minimal 6d SCFTs
• Compactifications of 6d $N=(1,0)$ SCFTs with non-trivial Stiefel-Whitney classes
• 5d/6d DE instantons from trivalent gluing of web diagrams
• Magnetic Quivers from Brane Webs with O5 Planes
• Revisiting the classifications of 6d SCFTs and LSTs
• Duality walls and defects in 5d N=1 theories
• Towards Classification of 5d SCFTs: Single Gauge Node
• Rank-3 antisymmetric matter on 5-brane webs
• Elliptic Blowup Equations for 6d SCFTs. II: Exceptional Cases
• Bootstrapping BPS spectra of 5d/6d field theories
• Flavor Symmetry of 5d SCFTs, Part 1: General Setup
• Blowup Equations for Refined Topological Strings
• Type IIB 7-branes in warped $Ad{S}_6$: partition functions, brane webs and probe limit
• Topological vertex formalism with O5-plane
• Elliptic Blowup Equations for 6d SCFTs. III: E-strings, M-strings and Chains
• E-string Quantum Curve
• Exploring the orthosymplectic zoo
• Computing the elliptic genus of higher rank E-strings from genus 0 GW invariants
• Partition functions of web diagrams with an O7${}^{-}$-plane
• Symmetry enhancements via 5d instantons, qW-algebrae and (1,0) superconformal index
• On Factorization of Generalized Macdonald Polynomials
• Surface defects on E-string from 5-brane webs
• Thermodynamic limit of Nekrasov partition function for 5-brane web with O5-plane
• Fibre-base duality of 5d KK theories
• 6d/5d exceptional gauge theories from web diagrams
• Topological Vertex/anti-Vertex and Supergroup Gauge Theory
• S-foldings of 5d SCFTs
• Refined topological vertex for a 5D $Sp(N)$ gauge theory with antisymmetric matter
• Quantum Representation of Affine Weyl Groups and Associated Quantum Curves
• Dessins d'Enfants, Seiberg-Witten Curves and Conformal Blocks
• $DE$-type little strings from glued brane webs
• Bootstrapping ADE M-strings
• E-strings, $F_4$, and $D_4$ triality
• Refined open topological strings revisited