Results 11 to 20 of about 68 (68)
Discreteness and integrality in Conformal Field Theory [PDF]
Abstract Various observables in compact CFTs are required to obey positivity, discreteness, and integrality. Positivity forms the crux of the conformal bootstrap, but understanding of the abstract implications of discreteness and integrality for the space of CFTs is lacking.
Justin Kaidi+2 more
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Renormalons in integrable field theories [PDF]
Abstract In integrable field theories in two dimensions, the Bethe ansatz can be used to compute exactly the ground state energy in the presence of an external field coupled to a conserved charge. We generalize previous results by Volin and we extract analytic results for the perturbative expansion of this observable, up to very ...
Mariño, Marcos, Reis, Tomás
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Integrable field theories with defects [PDF]
The structure of integrable field theories in the presence of defects is discussed in terms of boundary functions under the Lagrangian formalism. Explicit examples of bosonic and fermionic theories are considered. In particular, the boundary functions for the super sinh-Gordon model is constructed and shown to generate the Backlund transformations for ...
Gomes, J. F.+2 more
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Null-Vectors in Integrable Field Theory [PDF]
The form factor bootstrap approach allows to construct the space of local fields in the massive restricted sine-Gordon model. This space has to be isomorphic to that of the corresponding minimal model of conformal field theory. We describe the subspaces which correspond to the Verma modules of primary fields in terms of the commutative algebra of local
Babelon, O.+2 more
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Integrable field theories and their CCFT duals
Abstract We compute the Mellin transforms of various two-dimensional integrable S-matrices, providing the first explicit, non-perturbative realizations of celestial CFT. In two dimensions, the Mellin transform is simply the Fourier transform in rapidity space, and the “celestial correlator” has no position dependence.
Daniel Kapec, Adam Tropper
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Quantum quenches in integrable field theories [PDF]
We study the non equilibrium time evolution of an integrable field theory in 1+1 dimensions after a sudden variation of a global parameter of the Hamiltonian. For a class of quenches defined in the text, we compute the long times limit of the one point function of a local operator as a series of form factors.
Davide Fioretto+2 more
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Integrability of coupled conformal field theories [PDF]
The massive phase of two-layer integrable systems is studied by means of RSOS restrictions of affine Toda theories. A general classification of all possible integrable perturbations of coupled minimal models is pursued by an analysis of the (extended) Dynkin diagrams.
LeClair A+2 more
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TOPOLOGICAL FIELD THEORIES AND THE PERIOD INTEGRALS [PDF]
We discuss topological Landau-Ginzburg theories coupled to two-dimensional topological gravity. We point out that the basic recursion relations for correlation functions of the two-dimensional gravity have exactly the same form as the Gauss-Manin differential equations for the period integrals of superpotentials.
Tohru Eguchi+2 more
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CLASSICALLY INTEGRABLE FIELD THEORIES WITH DEFECTS [PDF]
Some ideas and remarks are presented concerning a possible Lagrangian approach to the study of internal boundary conditions relating integrable fields at the junction of two domains. The main example given in the article concerns single real scalar fields in each domain and it is found that these may be free, of Liouville type, or of sinh-Gordon type.
Edward Corrigan+2 more
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Noncommutative integrable field theories in 2d [PDF]
18 pages, 1 figure; v2: references ...
I. Cabrera-Carnero+2 more
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