The “character values” of the irreducible projective representations of Sk, the symmetric group of degree k, were determined by I. Schur using Schur’sQ-functions, which are indexed by the distinct partitions of k, [10], in a way analogous to Frobenius’ formula for the character values of the ordinary irreducible representations of Sk [2]. Behind Frobenius’ formula exists a duality relation of S...

We study geometrical properties of interfaces in the random-temperature q-states Potts model as an example of a conformal field theory weakly perturbed by quenched disorder. Using conformal perturbation theory in q-2 we compute the fractal dimension of Fortuin-Kasteleyn (FK) domain walls. We also compute it numerically both via the Wolff cluster algorithm for q=3 and via transfer-matrix evaluat...

The duality transformation is applied to the Fisher zeroes near the ferromagnetic critical point in the q > 4 state two dimensional Potts model. A requirement that the locus of the duals of the zeroes be identical to the dual of the locus of zeroes in the thermodynamic limit (i) recovers the ratio of speciic heat to internal energy discontinuity at criticality and the relationships between the ...

On the Hopf structure of U p,q (gl(1|1)) and the universal T-matrix of F un p,q (GL(1|1)) Abstract Using the technique developed by Fronsdal and Galindo (Lett. Math. Phys. 27 (1993) 57) for studying the Hopf duality between the quantum algebras F un p,q (GL(2)) and U p,q (gl(2)), the Hopf structure of U p,q (gl(1|1)), dual to F un p,q (GL(1|1)), is derived and the corresponding universal T-matr...

Unique measurement of the proton structure function F2 in a wide two-dimensional region of x and Q has been reported. The accessible kinematics covers entire resonance region up to W = 2.5 GeV in the Q interval from 0.1 to 4.5 GeV. Obtained data allowed for the first time an evaluation of moments of the structure function F2 directly from experimental data as well as an intensive study of the B...

We obtain a closed form expression of the universal T-matrix encapsulating the duality between the quantum superalgebra U q [osp(1/2)] and the corresponding su-pergroup OSp q (1/2). The classical q → 1 limit of this universal T matrix yields the group element of the undeformed OSp(1/2) supergroup. The finite dimensional representations of the quantum supergroup OSp q (1/2) are readily construct...

We propose to study quark-hadron duality in meson electroproduction. While duality between inclusive electron-hadron scattering in the resonance and deep inelastic regimes (Bloom-Gilman or quark-baryon duality) is well established, the existence of a similar duality in meson electroproduction has not yet been tested. In the inclusive case, duality implies that single-quark scattering governs th...

It is shown that for a translationally invariant solution to string theory, spacetime duality interchanges the momentum in the symmetry direction and the axion charge per unit length. As one application, we show explicitly that charged black strings are equivalent to boosted (uncharged) black strings. The extremal black strings (which correspond to the field outside of a fundamental macroscopic...

We adapt ideas from Ekedahl [Eke84] to prove a Serre-type duality for Witt-divisorial sheaves of $\mathbb Q$-Cartier divisors on smooth projective variety over perfect field finite characteristic. also explain its relationship Tanaka's vanishing theorems [Tan20].