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Related papers: Topological strings and Wilson loops

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We consider the 1/2 BPS circular Wilson loop in a generic N=2 SU(N) SYM theory with conformal matter content. We study its vacuum expectation value, both at finite $N$ and in the large-N limit, using the interacting matrix model provided by…

High Energy Physics - Theory · Physics 2019-10-17 M. Billo , F. Galvagno , A. Lerda

In this paper, we explicitly construct string theory backgrounds that realise the so-called $\mathcal N=2^\star$ gauge theory. We prove the consistency of our models by calculating their partition function and obtaining the correct gauge…

High Energy Physics - Theory · Physics 2016-06-29 Ioannis Florakis , Ahmad Zein Assi

We construct exact classical solutions in cubic open string field theory. By the redefinition of the string field, we find that the solutions correspond to finite deformations of the Wilson lines. The solutions have well-defined Fock space…

High Energy Physics - Theory · Physics 2009-11-07 Tomohiko Takahashi , Seriko Tanimoto

We present a general methodology towards the systematic characterization of crystalline topological insulating phases with time reversal symmetry (TRS).~In particular, taking the two-dimensional spinful hexagonal lattice as a proof of…

Mesoscale and Nanoscale Physics · Physics 2019-11-22 Adrien Bouhon , Annica M. Black-Schaffer , Robert-Jan Slager

It has recently been conjectured that the closed topological string wave function computes a grand canonical partition function of BPS black hole states in 4 dimensions: Z_BH=|psi_top|^2. We conjecture that the open topological string wave…

High Energy Physics - Theory · Physics 2007-05-23 Mina Aganagic , Andrew Neitzke , Cumrun Vafa

We compute Euclidean Wilson loops for BMN Plane Wave Matrix Models. The stringy counterpart of these Wilson loops corresponds to various semi-classical open string embedding that probe a class of half BPS geometries in Type IIA…

High Energy Physics - Theory · Physics 2023-09-26 Dibakar Roychowdhury

We present an explicit formula for the Stokes automorphism acting on the topological string partition function. When written in terms of the dual partition function, our formula implies that flat coordinates in topological string theory…

High Energy Physics - Theory · Physics 2024-04-03 Kohei Iwaki , Marcos Marino

We sharpen the duality between open and closed topological string partition functions for topological gravity coupled to matter. The closed string partition function is a generalised Kontsevich matrix model in the large dimension limit. We…

High Energy Physics - Theory · Physics 2019-10-02 Sujay K. Ashok , Jan Troost

We discuss some geometrical aspects of the semiclassical quantization of string solutions in Type IIB Green-Schwarz action on $\ads_5\times \sphere^5$. We concentrate on quadratic fluctuations around classical configurations, expressing the…

High Energy Physics - Theory · Physics 2015-10-16 V. Forini , V. Giangreco M. Puletti , L. Griguolo , D. Seminara , E. Vescovi

We construct a space of string diagrams, which are a type of fatgraph with some additional data, and show that there are string topology operations on the chains of the free loop space of a closed Riemannian manifold which are parameterized…

Geometric Topology · Mathematics 2015-06-09 Gabriel C. Drummond-Cole , Kate Poirier , Nathaniel Rounds

Compact string expressions are found for non-intersecting Wilson loops in SU(N) Yang-Mills theory on any surface (orientable or nonorientable) as a weighted sum over covers of the surface. All terms from the coupled chiral sectors of the…

High Energy Physics - Theory · Physics 2009-10-28 Stephen G. Naculich , Harold A. Riggs

The standard, gapped entanglement boundary condition in Chern Simons theory breaks the topological invariance of the theory by introducing a complex structure on the entangling surface. This produces an infinite dimensional subregion…

High Energy Physics - Theory · Physics 2025-11-13 Gabriel Wong

In [1], Nakatsu and Takasaki have shown that the melting crystal model behind the topological strings vertex provides a tau-function of the KP hierarchy after an appropriate time deformation. We revisit their derivation with a focus on the…

High Energy Physics - Theory · Physics 2023-01-11 Jean-Emile Bourgine

These lectures describe in detail the effective Hamiltonians for weak decays of mesons constructed by means of the operator product expansion and the renormalization group method. We calculate Wilson coeffcients of local operators, discuss…

High Energy Physics - Phenomenology · Physics 2007-05-23 Andrzej J. Buras

We show that the BRST structure of the topological string is encoded in the ``small'' $N=4$ superconformal algebra, enabling us to obtain, in a non-trivial way, the string theory from hamiltonian reduction of $A(1|1)$. This leads to the…

High Energy Physics - Theory · Physics 2009-10-28 K. Landsteiner , W. Lerche , A. Sevrin

We complete the program of 2012.15792 about perturbative approaches for $\mathcal{N}=2$ superconformal quiver theories in four dimensions. We consider several classes of observables in presence of Wilson loops, and we evaluate them with the…

High Energy Physics - Theory · Physics 2021-11-24 Francesco Galvagno , Michelangelo Preti

We study a class of anomalies associated with time-reversal and spatial reflection symmetry in (2+1)D topological phases of matter. In these systems, the topological quantum numbers of the quasiparticles, such as the fusion rules and…

Strongly Correlated Electrons · Physics 2018-09-26 Maissam Barkeshli , Meng Cheng

Hyperbolic geometry on the one-bordered torus is numerically uniformized using Liouville theory. This geometry is relevant for the hyperbolic string tadpole vertex describing the one-loop quantum corrections of closed string field theory.…

High Energy Physics - Theory · Physics 2023-12-14 Atakan Hilmi Fırat

We study the cusped Wilson line operators and Bremsstrahlung functions associated to particles transforming in the rank-$k$ symmetric representation of the gauge group $U(N)$ for ${\cal N} = 4$ super Yang-Mills. We find the holographic…

High Energy Physics - Theory · Physics 2015-08-26 Diego H. Correa , Fidel I. Schaposnik Massolo , Diego Trancanelli

We study the action of S-duality on half-BPS Wilson loop operators in 5d $\mathcal{N}=1$ theories. The duality is the statement that different massive deformations of a single 5d SCFT are described by different gauge theories, or…

High Energy Physics - Theory · Physics 2018-11-14 Benjamin Assel , Antonio Sciarappa