5,981 research outputs found
Phases of Quench Dynamics in the Presence of Fluctuation
We study the effect of thermal fluctuation on a sourced quench in a system
with symmetry. We map out a phase diagram for the quench dynamics based
on a dynamical relaxation time. We find the Kibble-Zurek scaling exists only
below a critical strength of fluctuation in a finite window of quench rate. For
very slow quench, relaxation time is set by fluctuation induced thermal mass,
giving rise to a new scaling law. For very rapid quench, relaxation time tends
to a constant dependent on the strength of fluctuation. We also discuss
implications for thermal quench.Comment: 5 pages, 5 figure
Little String Amplitudes (and the Unreasonable Effectiveness of 6D SYM)
We study tree level scattering amplitudes of four massless states in the
double scaled little string theory, and compare them to perturbative loop
amplitudes in six-dimensional super-Yang-Mills theory. The little string
amplitudes are computed from correlators in the cigar coset CFT and in N=2
minimal models. The results are expressed in terms of integrals of conformal
blocks and evaluated numerically in the alpha' expansion. We find striking
agreements with up to 2-loop scattering amplitudes of massless gluons in 6D
SU(k) SYM at a Z_k invariant point on the Coulomb branch. We comment on the
issue of UV divergence at higher loop orders in the gauge theory and discuss
the implication of our results.Comment: 58 pages, 5 figures, 3 tables, comments added, references adde
Topological Defect Lines and Renormalization Group Flows in Two Dimensions
We consider topological defect lines (TDLs) in two-dimensional conformal
field theories. Generalizing and encompassing both global symmetries and
Verlinde lines, TDLs together with their attached defect operators provide
models of fusion categories without braiding. We study the crossing relations
of TDLs, discuss their relation to the 't Hooft anomaly, and use them to
constrain renormalization group flows to either conformal critical points or
topological quantum field theories (TQFTs). We show that if certain
non-invertible TDLs are preserved along a RG flow, then the vacuum cannot be a
non-degenerate gapped state. For various massive flows, we determine the
infrared TQFTs completely from the consideration of TDLs together with modular
invariance.Comment: 101 pages, 63 figures, 2 tables; v3: minor changes, added footnotes
and references, published versio
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