191 citations · 1.1k across the 38 of their papers we have counts for
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On Boundary State Screening via Solitons
Vivek Chakrabhavi, Babak Haghighat, Jonathan J. Heckman
We present a coarse classification scheme for the boundary data of massive QFTs based on transitions of boundary states via soliton / kink profiles. Starting from the lattice of bo…
Quantum Flat Connections, KZ equations, and Integrability
Sibasish Banerjee, Babak Haghighat, Anouchah Latifi
N=2 supersymmetric Yang-Mills theories are described in terms of a Hitchin system over a Riemann surface C. Focusing on strongly coupled Argyres-Douglas theories, we show that the…
Modularity of Vafa-Witten Partition Functions from SymTFT
Jin Chen, Wei Cui, Babak Haghighat +1
The 6d (2,0) theory of M5 branes compactified on the product geometry , where is a Kähler 4-manifold, can be studied in two different limits. In one limit, the…
Non-Invertible Surface Defects in 2+1d QFTs from Half Spacetime Gauging
Wei Cui, Babak Haghighat, Lorenzo Ruggeri
We study duality defects in 2+1d theories with $\bZ^{(0)}_N\times\bZ^{(1)}_N$ global symmetry and trivial mixed 't Hooft anomaly. By gauging these symmetries simultaneously in half…
Para-fusion Category and Topological Defect Lines in -parafermionic CFTs
Jin Chen, Babak Haghighat, Qing-Rui Wang
We study topological defect lines (TDLs) in two-dimensional -parafermoinic CFTs. Different from the bosonic case, in the 2d parafermionic CFTs, there exist parafermion…
Lecture Notes on Generalized Symmetries and Applications
Ran Luo, Qing-Rui Wang, Yi-Nan Wang
In this lecture note, we give a basic introduction to the rapidly developing concepts of generalized symmetries, from the perspectives of both high energy physics and condensed mat…
Topological Defect Lines in bosonized Parafermionic CFTs
Babak Haghighat, Youran Sun
Topological defect lines (TDLs) are extended line operators which act on the Hilbert space of two-dimensional CFTs and satisfy non-trivial fusion algebras when forming junctions. A…
SymTFTs and Duality Defects from 6d SCFTs on 4-manifolds
Jin Chen, Wei Cui, Babak Haghighat +1
In this work we study particular TQFTs in three dimensions, known as Symmetry Topological Field Theories (or SymTFTs), to identify line defects of two-dimensional CFTs arising from…
Liouville conformal blocks and Stokes phenomena
Xia Gu, Babak Haghighat
In this work we derive braid group representations and Stokes matrices for Liouville conformal blocks with one irregular operator. By employing the Coulomb gas formalism, the corre…
MSW-type compactifications of 6d SCFTs on 4-manifolds
Jin Chen, Zhuo Chen, Wei Cui +1
In this work, we study compactifications of 6d SCFTs, in particular those of conformal matter type, on Kähler 4-manifolds. We show how this can be realized via wrapping M5…
Ising-like and Fibonacci-Anyons from KZ-equations
Xia Gu, Babak Haghighat, Yihua Liu
In this work we present solutions to Knizhnik-Zamolodchikov (KZ) equations corresponding to conformal block wavefunctions of non-Abelian Ising- and Fibonacci-Anyons. We solve these…
Elliptic Quantum Curves of 6d SO(N) theories
Jin Chen, Babak Haghighat, Hee-Cheol Kim +3
We discuss supersymmetric defects in 6d SCFTs with gauge group and fundamental flavors. The codimension 2 and 4 defects are engineere…
E-string Quantum Curve
Jin Chen, Babak Haghighat, Hee-Cheol Kim +2
In this work we study the quantisation of the Seiberg-Witten curve for the E-string theory compactified on a two-torus. We find that the resulting operator expression belongs to th…
Fibre-base duality of 5d KK theories
Andreas P. Braun, Jin Chen, Babak Haghighat +2
We study circle compactifications of 6d superconformal field theories giving rise to 5d rank 1 and rank 2 Kaluza-Klein theories. We realise the resulting theories as M-theory compa…
Elliptic Quantum Curves of Class
Jin Chen, Babak Haghighat, Hee-Cheol Kim +1
Quantum curves arise from Seiberg-Witten curves associated to 4d gauge theories by promoting coordinates to non-commutative operators. In this way the algebraic equ…
Elliptic Blowup Equations for 6d SCFTs. IV: Matters
Jie Gu, Babak Haghighat, Albrecht Klemm +2
Given the recent geometrical classification of 6d SCFTs, a major question is how to compute for this large class their elliptic genera. The latter encode the refined BPS sp…
Elliptic Blowup Equations for 6d SCFTs. III: E-strings, M-strings and Chains
Jie Gu, Babak Haghighat, Albrecht Klemm +2
We establish the elliptic blowup equations for E-strings and M-strings and solve elliptic genera and refined BPS invariants from them. Such elliptic blowup equations can be derived…
4d N=1 from 6d D-type N=(1,0)
Jin Chen, Babak Haghighat, Shuwei Liu +1
Compactifications of 6d N=(1,0) SCFTs give rise to new 4d N=1 SCFTs and shed light on interesting dualities between such theories. In this paper we continue exploring this line of…
Blowup Equations for 6d SCFTs. I
Jie Gu, Babak Haghighat, Kaiwen Sun +1
We propose novel functional equations for the BPS partition functions of 6d (1,0) SCFTs, which can be regarded as an elliptic version of Gottsche-Nakajima-Yoshioka's K-theoretic bl…
M5 branes and Theta Functions
Babak Haghighat, Rui Sun
We propose quantum states for Little String Theories (LSTs) arising from M5 branes probing A- and D-type singularities. This extends Witten's picture of M5 brane partition function…
D-type fiber-base duality
Babak Haghighat, Joonho Kim, Wenbin Yan +1
M5 branes probing D-type singularities give rise to 6d (1,0) SCFTs with flavor symmetry known as D-type conformal matter theories. Gauging the diagonal -flavor s…
Mirror Symmetry and Modularity
Babak Haghighat
This is a review article on mirror symmetry and aspects of it related to the theory of modular forms. We describe this topic along its historical development and connect to some mo…
ADE String Chains and Mirror Symmetry
Babak Haghighat, Wenbin Yan, Shing-Tung Yau
6d superconformal field theories (SCFTs) are the SCFTs in the highest possible dimension. They can be geometrically engineered in F-theory by compactifying on non-compact elliptic…
M-strings in thermodynamic limit: Seiberg-Witten geometry
Babak Haghighat, Wenbin Yan
We initiate the study of M-strings in the thermodynamic limit. In this limit the BPS partition function of M5 branes localizes on configurations with a large number of strings whic…