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22 papers · 2 filters
Equivalence of the self-dual and Nambu-Goto strings
Winston J. Fairbairn, Karim Noui, Francesco Sardelli
We establish explicitely the relation between the algebraic and Nambu-Goto strings when the target space is a four dimensional flat space. We find that the two theories are exactly…
A direct proof of AGT conjecture at beta = 1
A. Mironov, A. Morozov, Sh. Shakirov
The AGT conjecture claims an equivalence of conformal blocks in 2d CFT and sums of Nekrasov functions (instantonic sums in 4d SUSY gauge theory). The conformal blocks can be presen…
Brezin-Gross-Witten model as "pure gauge" limit of Selberg integrals
A. Mironov, A. Morozov, Sh. Shakirov
The AGT relation identifies the Nekrasov functions for various N=2 SUSY gauge theories with the 2d conformal blocks, which possess explicit Dotsenko-Fateev matrix model (beta-ensem…
Effective action in a higher-spin background
Xavier Bekaert, Euihun Joung, Jihad Mourad
We consider a free massless scalar field coupled to an infinite tower of background higher-spin gauge fields via minimal coupling to the traceless conserved currents. The set of Ab…
On Solutions to the "Faddeev-Niemi" Equations
Antti J. Niemi, Andrzej Wereszczynski
Recently it has been pointed out that the "Faddeev-Niemi" equations that correspond to the Yang-Mills equations of motion for a decomposed gauge field, can have solutions that obey…
Towards a proof of AGT conjecture by methods of matrix models
A. Mironov, A. Morozov, Sh. Shakirov
A matrix model approach to proof of the AGT relation is briefly reviewed. It starts from the substitution of conformal blocks by the Dotsenko-Fateev beta-ensemble averages and Nekr…