32 research outputs found
To see Symmetry in a Forest of Trees
The exact symmetry identities among four-point tree-level amplitudes of
bosonic open string theory as derived by G. W. Moore are re-examined. The main
focuses of this work are: (1) Explicit construction of kinematic configurations
and a new polarization basis for the scattering processes. These setups
simplify greatly the functional forms of the exact symmetry identities, and
help us to extract easily high-energy limits of stringy amplitudes appearing in
the exact identities. (2) Connection and comparison between D. J. Gross's
high-energy stringy symmetry and the exact symmetry identities as derived by G.
W. Moore. (3) Observation of symmetry patterns of stringy amplitudes with
respect to the order of energy dependence in scattering amplitudes.Comment: 56 pages; v2. Typos corrected. Minor changes; v3. Reorganized the
structure and eliminate verbose expressions. References added. Added words of
introduction to each section; v4. Reorganized and streamlined significantly.
Version to appear in Nucl.Phys.
Quasinormal Modes of Kerr Black Holes in Four and Higher Dimensions
We analytically calculate to leading order the asymptotic form of quasinormal
frequencies of Kerr black holes in four, five and seven dimensions. All the
relevant quantities can be explicitly expressed in terms of elliptical
integrals. In four dimensions, we confirm the results obtained by Keshest and
Hod by comparing the analytic results to the numerical ones.Comment: 14 pages, 7 figure
Supersymmetric reduced models with a symmetry based on Filippov algebra
Generalizations of the reduced model of super Yang-Mills theory obtained by
replacing the Lie algebra structure to Filippov -algebra structures are
studied. Conditions for the reduced model actions to be supersymmetric are
examined. These models are related with what we call \{cal N}_{min}=2 super
-brane actions.Comment: v3: In the previous versions we overlooked that Eq.(3.9) holds more
generally, and missed some supersymmetric actions. Those are now included and
modifications including a slight change in the title were made accordingly.
1+18 page
One-Loop Effect of Null-Like Cosmology's Holographic Dual Super-Yang-Mills
We calculate the 1-loop effect in super-Yang-Mills which preserves
1/4-supersymmetries and is holographically dual to the null-like cosmology with
a big-bang singularity. Though the bosonic and fermionic spectra do not agree
precisely, we do obtain vanishing 1-loop vacuum energy for generic warped
plane-wave type backgrounds with a big-bang singularity. Moreover, we find that
the cosmological "constant" contributed either by bosons or fermions is
time-dependent. The issues about the particle production of some background and
about the UV structure are also commented. We argue that the effective higher
derivative interactions are suppressed as long as the Fourier transform of the
time-dependent coupling is UV-finite. Our result holds for scalar
configurations that are BPS but with arbitrary time-dependence. This suggests
the existence of non-renormalization theorem for such a new class of
time-dependent theories. Altogether, it implies that such a super-Yang-Mills is
scale-invariant, and that its dual bulk quantum gravity might behave regularly
near the big bang.Comment: 20 pages, v2 add comments and references, v3 clarify BPS condition &
add new discussion on particle production and UV structure, v4&v5 minor
changes, final to JHE
Effective Actions of Matrix Models on Homogeneous Spaces
We evaluate the effective actions of supersymmetric matrix models on fuzzy
S^2\times S^2 up to the two loop level. Remarkably it turns out to be a
consistent solution of IIB matrix model. Based on the power counting and SUSY
cancellation arguments, we can identify the 't Hooft coupling and large N
scaling behavior of the effective actions to all orders. In the large N limit,
the quantum corrections survive except in 2 dimensional limits. They are O(N)
and O(N^{4\over 3}) for 4 and 6 dimensional spaces respectively. We argue that
quantum effects single out 4 dimensionality among fuzzy homogeneous spaces.Comment: 28 pages, 1 figure, published version in Nucl. Phys.
Quantum Corrections on Fuzzy Sphere
We investigate quantum corrections in non-commutative gauge theory on fuzzy
sphere. We study translation invariant models which classically favor a single
fuzzy sphere with U(1) gauge group. We evaluate the effective actions up to the
two loop level. We find non-vanishing quantum corrections at each order even in
supersymmetric models. In particular the two loop contribution favors U(n)
gauge group over U(1) contrary to the tree action in a deformed IIB matrix
model with a Myers term. We further observe close correspondences to 2
dimensional quantum gravity.Comment: 27 pages, 1 figure, published version in Nucl Phys.
Hagedorn Strings and Correspondence Principle in AdS(3)
Motivated by the possibility of formulating a strings/black hole
correspondence in AdS space, we extract the Hagedorn behavior of thermal AdS_3
bosonic string from 1-loop partition function of SL(2,R) WZW model. We find
that the Hagedorn temperature is monotonically increasing as the AdS radius
shrinks, reaches a maximum of order of string scale set by the unitarity bound
of the CFT for internal space. The resulting density of states near the
Hagedorn temperature resembles the form as for strings in flat space and is
dominated by the space-like long string configurations. We then argue a
conjectured strings/black hole correspondence in AdS space by applying the
Hagedorn thermodynamics. We find the size of the corresponding black hole is a
function of the AdS radius. For large AdS radius a black hole far bigger than
the string scale will form. On the contrary, when the AdS and string scales are
comparable a string size black hole will form. We also examine strings on BTZ
background obtained through SL(2,Z) transformation. We find a tachyonic
divergence for a BTZ black hole of string scale size.Comment: 28 pages, 4 figures;v2 references added & appear on JHE