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Related papers: Limits of minimal models and continuous orbifolds

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Non-invertible one-form symmetries are naturally realized in (2+1)d topological quantum field theories. In this work, we consider the potential realization of such symmetries in (2+1)d conformal field theories, investigating whether gapless…

High Energy Physics - Theory · Physics 2025-04-07 Clay Cordova , Diego García-Sepúlveda , Kantaro Ohmori

We identify a new class of closed smooth manifolds for which there exists a uniform bound on the Lagrangian spectral norm of Hamiltonian deformations of the zero section in a unit cotangent disk bundle, settling a well-known conjecture of…

Symplectic Geometry · Mathematics 2020-04-28 Egor Shelukhin

We study the braided tensor structure of line operators in the topological A and B twists of abelian 3d $\mathcal{N}=4$ gauge theories, as accessed via boundary vertex operator algebras (VOA's). We focus exclusively on abelian theories. We…

High Energy Physics - Theory · Physics 2023-04-24 Andrew Ballin , Thomas Creutzig , Tudor Dimofte , Wenjun Niu

The statistics of soliton sectors of massive 2D field theories is analysed. In the soliton field algebra, the non-local commutation relations are determined and Weak Locality, Spin-Statistics and CPT theorems are proven. These theorems…

High Energy Physics - Theory · Physics 2008-11-26 Karl-Henning Rehren

We address the uniqueness of the minimal couplings between higher-spin fields and gravity. These couplings are cubic vertices built from gauge non-invariant connections that induce non-abelian deformations of the gauge algebra. We show that…

High Energy Physics - Theory · Physics 2009-12-10 Nicolas Boulanger , Serge Leclercq , Per Sundell

We give a worldsheet proof of the equivalence between the U(N) Chern-Simons gauge theory on S^3 and the topological closed string theory on the resolved conifold geometry. When the `t Hooft coupling of the gauge theory is small, the dual…

High Energy Physics - Theory · Physics 2008-11-26 Hirosi Ooguri , Cumrun Vafa

We consider quantum many body systems with generalized symmetries, such as the higher form symmetries introduced recently, and the "tensor symmetry". We consider a general form of lattice Hamiltonians which allow a certain level of…

Strongly Correlated Electrons · Physics 2021-05-26 Chao-Ming Jian , Cenke Xu

We lay the foundation for a version of $r$-spin theory in genus zero for Riemann surfaces with boundary. In particular, we define the notion of $r$-spin disks, their moduli space, and the Witten bundle, we show that the moduli space is a…

Mathematical Physics · Physics 2020-03-03 Alexandr Buryak , Emily Clader , Ran J. Tessler

We explore the large-N limits of 2d CFTs, focusing mostly on WZW models and their cosets. The $SU(N)_k$ theory is parametrized in this limit by a 't Hooft-like coupling. We show a duality between strong coupling, where the theory is…

High Energy Physics - Theory · Physics 2013-08-19 Elias Kiritsis , Vasilis Niarchos

We investigate boundary dynamics of orbifold conformal field theory involving T-duality twists. Such models typically appear in contexts of non-geometric string compactifications that are called monodrofolds or T-folds in recent literature.…

High Energy Physics - Theory · Physics 2009-06-11 Shinsuke Kawai , Yuji Sugawara

We show that little string theory on S^5 can be obtained as double-scaling limits of the maximally supersymmetric Yang-Mills theories on RxS^2 and RxS^3/Z_k. By matching the gauge theory parameters with those in the gravity duals found by…

High Energy Physics - Theory · Physics 2010-10-27 Henry Ling , Hsien-Hang Shieh , Greg van Anders

A 2-torsion topological phase exists for Hamiltonians symmetric under the wallpaper group with glide reflection symmetry, corresponding to the unorientable cycle of the Klein bottle fundamental domain. We prove a mod 2 twisted Toeplitz…

Mathematical Physics · Physics 2019-03-11 Kiyonori Gomi , Guo Chuan Thiang

We show how bosonic (free field) representations for so-called degenerate conformal theories are built by singular vectors in Verma modules. Based on this construction, general expressions of conformal blocks are proposed. As an example we…

High Energy Physics - Theory · Physics 2011-04-20 Oleg Andreev , Boris Feigin

We reassess employing the holographic technique to the description of 4D minimal composite Higgs model with $SO(5)\to SO(4)$ global symmetry breaking pattern. The particular 5D bottom-up holographic treatment is inspired by previous work in…

High Energy Physics - Phenomenology · Physics 2021-03-17 Domenec Espriu , Alisa Katanaeva

We consider CFTs conjectured to be dual to higher spin theories of gravity in AdS_3 and AdS_4. Two dimensional CFTs with W_N symmetry are considered in the lambda=0 (k --> infinity) limit, where they are conjectured to be described by…

We show that planar cal N=4 Yang-Mills theory at zero 't Hooft coupling can be efficiently described in terms of 8 bosonic and 8 fermionic oscillators. We show that these oscillators can serve as world-sheet variables, the string bits, of a…

High Energy Physics - Theory · Physics 2009-11-11 Luis F. Alday , Justin R. David , Edi Gava , K. S. Narain

The W-infinity minimal models are conformal field theories which can describe the edge excitations of the hierarchical plateaus in the quantum Hall effect. In this paper, these models are described in very explicit terms by using a bosonic…

High Energy Physics - Theory · Physics 2009-10-31 Andrea Cappelli , Guillermo R. Zemba

We study the combination of two o-minimal extensions of the theory of real closed fields: one by a T-convex subring and the other by a T-derivation. Let T be a complete, model complete o-minimal extension of RCF. We show that the combined…

Logic · Mathematics 2025-11-11 Xiaoduo Wang

We construct a simple physical model of a particle moving on the infinite noncommutative 2-plane. The model consists of a pair of opposite charges moving in a strong magnetic field. In addition, the charges are connected by a spring. In the…

High Energy Physics - Theory · Physics 2009-10-07 Daniela Bigatti , Leonard Susskind

In this paper we present three new families of smooth Type II string theory backgrounds. These are dual to supersymmetry-preserving deformations of 4d SCFTs. The deformations include a VEV for a global current and a `twisted…

High Energy Physics - Theory · Physics 2024-07-30 Dimitrios Chatzis , Ali Fatemiabhari , Carlos Nunez , Peter Weck