Possible CP-Violation effects in core-collapse Supernovae

We study CP-violation effects when neutrinos are present in dense matter, such as outside the proto-neutron star formed in a core-collapse supernova. Using general arguments based on the Standard Model, we confirm that there are no CP-violating effects at the tree level on the electron neutrino and anti-neutrino fluxes in a core-collapse supernova. On the other hand significant effects can be obtained for muon and tau neutrinos even at the tree level. We show that CP violating effects can be present in the supernova electron (anti)neutrino fluxes as well, if muon and tau neutrinos have different fluxes at the neutrinosphere. Such differences could arise due to physics beyond the Standard Model, such as the presence of flavor-changing interactions.Comment: 11 pages, 18 figure

On the perturbative corrections around D-string instantons

We study ${\cal F}^4$-threshold corrections in an eight dimensional S-dual pair of string theories, as a prototype of dual string vacua with sixteen supercharges. We show that the orbifold CFT description of D-string instantons gives rise to a perturbative expansion similar to the one appearing on the fundamental string side. By an explicit calculation, using the Nambu-Goto action in the static gauge, we show that the first subleading term agrees precisely on the two sides. We then give a general argument to show that the agreement extends to all orders.Comment: 12 page

Superspace WZW Models and Black Holes

We show how to write an off-shell action for the $SU(2)\times U(1)$ supersymmetric WZW model in terms of $N=2$ chiral and twisted chiral multiplets. We discuss the $N=4$ supersymmetry of this model and exhibit the $N=4$ superconformal current algebra. Finally, we show that the off-shell formulation makes it possible to perform a duality transformation, which leads to a supersymmetric sigma model on a manifold with a black hole type singularity.Comment: 12 page

AdS/CFT correspondence and D1/D5 systems in theories with 16 supercharges

We discuss spectra of $AdS_3$ supergravities, arising in the near horizon geometry of D1/D5 systems in orbifolds/orientifolds of type IIB theory with 16 supercharges. These include models studied in a recent paper (hep-th/0012118), where the group action involves also a shift along a transversal circle, as well as IIB/$\Omega I_4$, which is dual to IIB on $K3$. After appropriate assignements of the orbifold group eigenvalues and degrees to the supergravity single particle spectrum, we compute the supergravity elliptic genus and find agreement, in the expected regime of validity, with the elliptic genus obtained using U-duality map from (4,4) CFTs of U-dual backgrounds. Since this U-duality involves the exchange of KK momentum $P$ and D1 charge $N$, it allows us to test the (4,4) CFTs in the $P < N/4$ and $N < P/4$ regimes by two different supergravity duals.Comment: 28 pages, no figure

Closed String Tachyons on C/Z_N

We analyse the condensation of closed string tachyons on the $C/Z_N$ orbifold. We construct the potential for the tachyons upto the quartic interaction term in the large $N$ limit. In this limit there are near marginal tachyons. The quartic coupling for these tachyons is calculated by subtracting from the string theory amplitude for the tachyons, the contributions from the massless exchanges, computed from the effective field theory. We argue that higher point interaction terms are are also of the same order in 1/N as the quartic term and are necessary for existence of the minimum of the tachyon potential that is consistent with earlier analysis.Comment: 19 pages, 1 figure; comments added about $N$ dependence of contact ter

Influência da compactação do solo na produtividade da rebrota de eucalipto.

Normalmente, as áreas de rebrota sofrem a influência das operações de colheita, aplicação de herbicidas, adubos e resíduos, que concorrem para a compactação do solo. Em solos de texturas diferentes em áreas da Cia. Suzano de Papel e Celulose, nos municípios de Itatinga, SP, e São Miguel Arcanjo, SP, foram selecionadas 30 linhas de plantio para determinação da produtividade de eucalipto (Eucalyptus grandis Hill ex Maiden) aos sete anos de idade, bem como atributos físico-hídricos do solo a 50 cm da linha de plantio. Foram obtidas amostras indeformadas de solo em três profundidades: 0 a 10, 10 a 20 e 20 a 30 cm; a resistência do solo foi obtida com penetrômetro – SC 60 – até 60 cm de profundidade. As linhas de eucaliptos foram separadas, segundo a intensidade de movimentação das máquinas de colheita, em corte, galhada e tráfego. A redução da produtividade do eucalipto chegou até dois terços, comparando-se linhas de tráfego intenso das máquinas e sem tráfego. A camada superficial do solo (0 a 10 cm) recuperou parcialmente a estrutura durante os sete anos. A compactação foi máxima na camada de 10 a 20 cm, no solo argiloso e na camada de 20 a 30 cm, no solo arenoso. Houve correlação negativa (r² = 0,86) entre a densidade global, na profundidade de 10 a 20 cm, e o volume de madeira das linhas de eucalipto no solo arenoso. No solo argiloso, essa correlação (r² = 0,77) negativa ocorreu na profundidade de 20 a 30 cm

How fast is the linear chain trick? A rigorous analysis in the context of behavioral epidemiology

A prototype SIR model with vaccination at birth is analyzed in terms of the stability of its endemic equilibrium. The information available on the disease influences the parents' decision on whether vaccinate or not. This information is modeled with a delay according to the Erlang distribution. The latter includes the degenerate case of fading memory as well as the limiting case of concentrated memory. The linear chain trick is the essential tool used to investigate the general case. Besides its novel analysis and that of the concentrated case, it is showed that through the linear chain trick a distributed delay approaches a discrete delay at a linear rate. A rigorous proof is given in terms of the eigenvalues of the associated linearized problems and extension to general models is also provided. The work is completed with several computations and relevant experimental results