We study supersymmetric Sp(N) gauge theories with an antisymmetric tensor and degree n+1 tree level superpotential. The generalized Konishi anomaly equations derived in hep-th/0304119 and hep-th/0304138 are used to compute the low energy superpotential of the theory. This is done by imposing a certain integrality condition on the periods of a meromorphic one form. Explicit computations for Sp(2...

We construct a differential graded algebra to compute the cohomology of ordered configuration spaces on an algebraic variety with vanishing Euler characteristic. show that k-th Betti number $$\mathrm{Conf}(C,n)$$ (C is elliptic curve) grows as polynomial degree exactly $$2k-2$$ . also for $$k< 6$$ and arbitrary n.

In group theory nilpotency of a group has a great importance. In this paper we have studied some concept of nilpotency through right transversals. We have also studied prime power groups and frattini subgroups through right transversals.

Calorimetric meas urements at 25°C of th e enthalpies of dilution of aqueo us H2S04 (0.00090 to 6.4 mol · kg-I ), LiCI (0.026 to 6.7 mol · kg-I ), and HCI (0.018 to 1.6 mol· kgI) have bee n performed us ing two different isothermal calor imeters. The result s of thi s work and that of three ea rli e r calorimetri c in vestigations and one Raman spectral investigation have been used to calculate...

For a p-group G admitting an automorphism φ of order pn with exactly pm fixed points such that φp n−1 has exactly pk fixed points, we prove that G has a fully-invariant subgroup of m-bounded nilpotency class with (p, n,m, k)-bounded index in G. We also establish its analogue for Lie p-rings. The proofs make use of the theory of commutator-type operators.