673 research outputs found
Higher Spin Currents in the Holographic N=1 Coset Minimal Model
In the N=1 supersymmetric coset minimal model based on (B_N^{(1)} \oplus
D_N^{(1)}, D_N^{(1)}) at level (k,1) studied recently, the standard N=1 super
stress tensor of spins (3/2,2) is reviewed. By considering the stress tensor in
the coset (B_N^{(1)}, D_N^{(1)}) at level k, the higher spin-2' Casimir current
was obtained previously. By acting the above spin-3/2 current on the higher
spin-2' Casimir current, its superpartner, the higher spin-5/2 current, can be
generated and combined as the first higher spin supercurrent with spins (2',
5/2). By calculating the operator product expansions (OPE) between the higher
spin supercurrent and itself, the next higher spin supercurrent can be
generated with spins (7/2,4). Moreover, the other higher spin supercurrent with
spins (4',9/2) can be generated by calculating the OPE between the first higher
spin supercurrent with spins (2', 5/2) and the second higher spin supercurrent
with spins (7/2,4). Finally, the higher spin supercurrent, (11/2,6), can be
extracted from the right hand side of OPE between the higher spin
supercurrents, (2', 5/2) and (4', 9/2).Comment: 97 pages; footnotes 1, 7 and 9 and the last paragraph of Appendix F
added and to appear in JHE
Toward an Effective Field Theory for Cold Compressed Baryonic Matter
This is an extended version of the note taken by the first author (W.-G.P.)
on a lecture given by the second author (M.R.) as a first part of the series on
"Hadronic Matter Under Extreme Conditions," the principal theme of the
WCU-Hanyang Program. It covers the attempts to go in a framework anchored on
effective field theory of QCD from zero density to the nuclear matter density
and slightly beyond, with the ultimate goal of arriving at the density relevant
to compact stars, including chiral phase transition and quark matter. The focus
is on the conceptual aspects rather than detailed "fitting" of the data on the
kinds of physics that are being addressed to in radioactive-ion-beam machines
in operation as well as in project (such as `KoRIA' in Korea) and will be
explored at such forthcoming accelerators as FAIR/GSI. The approach presented
here is basically different from the standard ones found in the literature in
that the notion of hidden local symmetry -- which underlies the chiral symmetry
of the strong interactions -- and its generalization to dual gravity
description involving infinite tower of hidden gauge fields are closely relied
on.Comment: 25 pages, 12 figures, WCU lecture note prepared for the review
section of MPL
Towards New Membrane Flow from de Wit-Nicolai Construction
The internal 4-form field strengths with 7-dimensional indices have been
constructed by de Wit and Nicolai in 1986. They are determined by the following
six quantities: the 56-bein of 4-dimensional N=8 gauged supergravity, the
Killing vectors on the round seven-sphere, the covariant derivative acting on
these Killing vectors, the warp factor, the field strengths with 4-dimensional
indices and the 7-dimensional metric.
In this paper, by projecting out the remaining mixed 4-form field strengths
in an SU(8) tensor that appears in the variation of spin 1/2 fermionic sector,
we also write down them explicitly in terms of some of the above quantities.
For the known critical points, the N=8 SO(8) point and the nonsupersymmetric
SO(7)^{+} point, we reproduce the corresponding 11-dimensional uplifts by
computing the full nonlinear expressions. Moreover, we find out the
11-dimensional lift of the nonsupersymmetric SO(7)^{+} invariant flow. We
decode their implicit formula for the first time and the present work will
provide how to obtain the new supersymmetric or nonsupersymmetric membrane
flows in 11-dimensions.Comment: 28 pages; the footnote 2 is added and to appear in IJMP
The Operator Product Expansions in the Orthogonal Wolf Space Coset Model
Some of the operator product expansions (OPEs) between the lowest
singlet higher spin- multiplet of spins in an extension of the large
(non)linear superconformal algebra were constructed in the
superconformal coset theory with
previously. In this paper, by rewriting the above OPEs with , the
remaining undetermined OPEs are completely determined. There exist additional
singlet higher spin- multiplet, six adjoint higher spin-
multiplets, four vector higher spin- multiplets,
singlet higher spin- multiplet and four vector higher
spin- multiplets in the right hand side of these OPEs.
Furthermore, by introducing the arbitrary coefficients in front of the
composite fields in the right hand sides of the above complete 136 OPEs, the
complete structures of the above OPEs are obtained by using various Jacobi
identities for generic . Finally, we describe them as one single super OPE between the above lowest singlet higher spin-
multiplet in the superspace.Comment: 40 pages, the mathematica ancillary files included; footnotes 5 and 8
and appendix E adde
The Inhomogeneous Phase of Dense Skyrmion Matter
It was predicted qualitatively in ref.[1] that skyrmion matter at low density
is stable in an inhomogeneous phase where skyrmions condensate into lumps while
the remaining space is mostly empty. The aim of this paper is to proof
quantitatively this prediction. In order to construct an inhomogeneous medium
we distort the original FCC crystal to produce a phase of planar structures
made of skyrmions. We implement mathematically these planar structures by means
of the 't Hooft instanton solution using the Atiyah-Manton ansatz. The results
of our calculation of the average density and energy confirm the prediction
suggesting that the phase diagram of the dense skyrmion matter is a lot more
complex than a simple phase transition from the skyrmion FCC crystal lattice to
the half-skyrmion CC one. Our results show that skyrmion matter shares common
properties with standard nuclear matter developing a skin and leading to a
binding energy equation which resembles the Weiszaecker mass formula.Comment: 8 figures, 14 page
Dilaton-Limit Fixed Point in Hidden Local Symmetric Parity Doublet Model
We study nucleon structure with positive and negative parities using a parity
doublet model endowed with hidden local symmetry (HLS) with the objective to
probe dense baryonic matter. The model -- that we shall refer to as "PDHLS
model" for short -- allows a chiral-invariant mass of the nucleons unconnected
to spontaneously broken chiral symmetry which comes out to be m_0 ~ 200 MeV at
tree level from fitting to the decay width of the parity doubler, N(1535), to
nucleon-pion and nucleon axial coupling g_A=1.267. The presence of a
substantial m_0 that remains non-vanishing at chiral restoration presents a
deep issue for the origin of the nucleon mass as well as will affect
nontrivially the equation of state for dense baryonic matter relevant for
compact stars. We construct a chiral perturbation theory at one-loop order and
explore the phase structure of the model using renormalization group equations.
We find a fixed point that corresponds exactly to the "dilaton limit" at which
the HLS vector mesons decouple from the nucleons before reaching the vector
manifestation fixed point. We suggest that cold baryonic system will flow to
this limit as density increases toward that of chiral restoration.Comment: 22 pages, 6 figure
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