114,284 research outputs found
On a Conjecture of Givental
These brief notes record our puzzles and findings surrounding Givental's
recent conjecture which expresses higher genus Gromov-Witten invariants in
terms of the genus-0 data. We limit our considerations to the case of a
projective line, whose Gromov-Witten invariants are well-known and easy to
compute. We make some simple checks supporting his conjecture.Comment: 13 pages, no figures; v.2: new title, minor change
Wave packet transmission of Bloch electron manipulated by magnetic field
We study the phenomenon of wave packet revivals of Bloch electrons and
explore how to control them by a magnetic field for quantum information
transfer. It is showed that the single electron system can be modulated into a
linear dispersion regime by the "quantized" flux and then an electronic wave
packet with the components localized in this regime can be transferred without
spreading. This feature can be utilized to perform the high-fidelity transfer
of quantum information encoded in the polarization of the spin. Beyond the
linear approximation, the re-localization and self-interference occur as the
novel phenomena of quantum coherence.Comment: 6 pages, 5 figures, new content adde
On the Critical Behavior of D1-brane Theories
We study renormalization-group flow patterns in theories arising on D1-branes
in various supersymmetry-breaking backgrounds. We argue that the theory of N
D1-branes transverse to an orbifold space can be fine-tuned to flow to the
corresponding orbifold conformal field theory in the infrared, for particular
values of the couplings and theta angles which we determine using the discrete
symmetries of the model. By calculating various nonplanar contributions to the
scalar potential in the worldvolume theory, we show that fine-tuning is in fact
required at finite N, as would be generically expected. We further comment on
the presence of singular conformal field theories (such as those whose target
space includes a ``throat'' described by an exactly solvable CFT) in the
non-supersymmetric context. Throughout the analysis two applications are
considered: to gauge theory/gravity duality and to linear sigma model
techniques for studying worldsheet string theory.Comment: 23 pages in harvmac big, 8 figure
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