11,181 research outputs found
Complete EFT Operator Bases for Dark Matter and Weakly-Interacting Light Particle
The standard model can be extended to include weakly-interacting light
particle (WILP): real or complex singlet scalar, Majorana or Dirac neutral
fermion, neutral or hidden-charged vector boson, etc. Imposing the
symmetry, these particles can be lifted as the weakly-interacting massive
particle (WIMP), the candidate of dark matter. Instead, imposing the shift
symmetry on the scalar components gives rise to the axion-like particle, dark
photon, etc. Utilizing these light degree of freedom along with the standard
model particles and imposing different symmetries, we construct the complete
and independent sets of effective operators up to dimension eight with the
Young tensor technique, consistent with counting from the Hilbert series.Comment: 109 pages. arXiv admin note: text overlap with arXiv:2305.1677
deformation in SCFTs and integrable supersymmetric theories
We calculate the -multiplets for two-dimensional Euclidean
and superconformal field theories
under the deformation at leading order of perturbation theory
in the deformation coupling. Then, from these deformed
multiplets, we calculate two- and three-point correlators. We show the
chiral ring's elements do not flow under the
deformation. For the case of , we show the
twisted chiral ring and chiral ring cease to exist simultaneously. Specializing
to integrable supersymmetric seed theories, such as
Landau-Ginzburg models, we use the thermodynamic Bethe ansatz to study the
S-matrices and ground state energies. From both an S-matrix perspective and
Melzer's folding prescription, we show that the deformed ground state energy
obeys the inviscid Burgers' equation. Finally, we show that several indices
independent of -term perturbations including the Witten index,
Cecotti-Fendley-Intriligator-Vafa index and elliptic genus do not flow under
the deformation.Comment: 46 page
Towards -finiteness: -deformed open string amplitude
Revisiting the Coon amplitude, a deformation of the Veneziano amplitude with
a logarithmic generalization of linear Regge trajectories, we scrutinize its
potential origins in a worldsheet theory by proposing a definition of its
-deformation through the integral representation of the -beta function.
By utilizing -deformed commutation relations and vertex operators, we derive
the Coon amplitude within the framework of the dual resonance model. We extend
this to the open-string context by -deforming the Lie algebra
, resulting in a well-defined -deformed open superstring
amplitude. We further demonstrate that the -prefactor in the Coon amplitude
arises naturally from the property of the -integral. Furthermore, we find
that two different types of -prefactors, corresponding to different
representations of the same scattering amplitude, are essentially the same by
leveraging the properties of -numbers. Our findings indicate that the
-deformed string amplitude defines a continuous family of amplitudes,
illustrating how string amplitudes with a finite uniquely flow
to the amplitudes of scalar scattering in field theory at energy scale
as changes from to . This happens without the requirement
of an expansion, presenting a fresh perspective on the
connection between string and field theories
The Photon Sphere and the AdS/CFT Correspondence
By rephrasing the radial Klein--Gordon equation for a scalar field on anti-de
Sitter (AdS) Schwarzschild black hole background in terms of an auxiliary field
that satisfies a Schrodinger equation, we demonstrate that the properties of
the photon sphere play an important role in the AdS/CFT correspondence. Most
importantly, we use constraints imposed by the UV cutoff to derive a highly
precise formula describing how a black hole in the bulk amplifies or attenuates
an oscillating source dual to boundary operators across the bulk. This formula
leads us to identify a phase transition that traps massless fields, which
correspond to scalar sources for dual boundary operators, outside the photon
sphere when their angular momenta are large enough for classical particles with
a matching impact parameter to travel between boundary points. We then use
similar reasoning to determine an approximate analytic formula for the QNMs of
small black holes at large . The condition for a signal/source to pierce the
potential barrier peaking at the photon sphere is, roughly, that its frequency
must be greater than the angular momentum of its driven operator times the
square of the Lyapunov exponent of the unstable null geodesics.Comment: 33 pages, 7 figure
The Photon Sphere and Response Functions in Holography
Here we follow up on previous work that identified a phase transition in
massless scalar fields with the short-lived excitations of an
AdS-Schwarzschild black hole at large angular momenta. In this letter, we
show the Unruh temperature of the photon sphere can be determined
holographically from the retarded Green's function and is proportional to its
circumference according to a boundary observer. We then sharpen the conjecture
that the photon sphere, as seen by a boundary observer, is the spatial Fourier
transform of the response function. The conjecture is found to be in excellent
agreement with our numerics after certain long-lived excitations -- associated
with geodesics traveling between boundary points, as predicted by Festuccia and
Liu -- are removed from the response, which is then controlled by the
short-lived excitations of the AdS black hole.Comment: 6 pages, 5 figure
Hilbert Series and Operator Counting on the Higgs Effective Field Theory
We present a systematic procedure for determining the Hilbert series that
counts the number of independent operators in the Higgs effective field theory.
After removing the redundancies from equation-of-motion and
integration-by-part, we provide an algorithm of treating the redundancy from
the operators involving in spurion fields parametrizing the custodial symmetry
breaking. Furthermore, we utilize the outer automorphism of the Lorentz and
internal symmetries to separate operators with different CP properties. With
these new implements, the Hilbert series up to chiral dimension 10 are
obtained, and CP-even and CP-odd operators can be further divided. Extensions
to all orders are straightforward.Comment: 28 pages, 3 figures, 6 table
Complete NLO Operators in the Higgs Effective Field Theory
We enumerate the complete and independent sets of operators at the
next-to-leading order (NLO) in the Higgs effective field theory (HEFT), based
on the Young tensor technique on the Lorentz, gauge and flavor structures. The
operator-amplitude correspondence tells a type of operators forms the on-shell
amplitude basis, and for operators involving in Nambu-Goldstone bosons, the
amplitude basis is further reduced to the subspace satisfying the Adler's zero
condition in the soft momentum limit. Different from dynamical field, the
spurion should not enter into the Lorentz sector, instead it only plays a role
of forming the invariant together with other dynamical fields. With
these new treatments, for the first time we could obtain the 237 (8595)
operators for one (three) generation fermions, 295 (11307) with right-handed
neutrinos, and find there were 6 (9) terms of operators missing and many
redundant operators can be removed in the effective theory without (with)
right-handed neutrinos.Comment: 63 pages, 2 tables, revised version: operators in 4-component
notation, correct typo for countin
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