We provide a complete proof that non-Abelian fermionic $T$ duality along non-anticommuting Killing spinor always generates solution to double field theory equations. Examples of dualities string backgrounds with nonvanishing $b$-field are investigated.

We give a complete local classification of all Riemannian 3-manifolds ( M , g ) $(M,g)$ admitting nonvanishing Killing vector field T. then extend this to timelike fields on Lorentzian 3-manifolds, which are automatically nonvanishing. The two key ingredients needed in our the scalar curvature S and function Ric T $\text{Ric}(T,T)$ where is Ricci tensor; fact their sum appears as Gaussian quoti...

Using the Inverse Scattering Method with a nonvanishing boundary condition, we obtain an explicit breather solution nonzero vacuum parameter b of focusing modified Korteweg–de Vries (mKdV) equation. Moreover, taking limiting case zero frequency, generalization double pole introduced by M. Wadati et al.

We consider vacuum polarization from massless scalar electrodynamics in de Sitter inflation. The theory exhibits a 3+1 dimensional analog of the Schwinger mechanism in which a photon mass is dynamically generated. The mechanism is generic for light scalar fields that couple minimally to gravity. The nonvanishing of the photon mass during inflation may result in magnetic fields on cosmological s...

We show that sl2 conformal blocks do not cover the nef cone of M0,6, or the S9invariant nef cone of M0,9. A key point is to relate the nonvanishing of intersection numbers between these divisors and F-curves to the nonemptiness of some explicitly defined polytopes. Several experimental results and some open problems are also included.

The problem of zeroing the output in an arbitrary linear discrete-time system S(A,B,C,D) with a nonvanishing transfer-function matrix is discussed and necessary conditions for output-zeroing inputs are formulated. All possible real-valued inputs and real initial conditions which produce the identically zero system response are characterized. Strictly proper and proper systems are discussed sepa...

We consider the process of photon decay in quantum electrodynamics with a CPTviolating Chern–Simons-like term added to the action. For a simplified model with only the quadratic Maxwell and Chern–Simons-like terms and the quartic Euler– Heisenberg term, we obtain a nonvanishing probability for the decay of a particular photon state into three others.

We obtain a finite-sum representation for the general solution of the equation ∆ (p(n− 1)∆u(n − 1)) + q(n)u(n) = λr(n)u(n) in terms of a nonvanishing solution corresponding to some fixed value of λ = λ0. Applications of this representation to some results on the boundedness of solutions are given as well as illustrating examples.