637 research outputs found
Gauge Symmetries and Amplitudes in N=2 Strings
Picture changed operators are discussed in strings with space-time
signature . A gauge symmetry algebra is derived in a background of torus
space-time and its simple representation on the picture changed
operators is given. Simple Ward identities associated with the gauge algebra
and their consequences for three and four point amplitudes of arbitrary loops
are also discussed.Comment: 16 page
Quantum version of the N=8 superconformal algebra
The quantized form of the soft N=8 superconformal algebra is investigated.
Its operator product expansions are shown to exhibit a one-parameter-class of
(soft) anomalies, which may be arbitrarily shifted by certain suitable quantum
corrections of the generators. In particular, the BRST operator can be
constructed and made nilpotent in the quantum version of all known realizations
of the algebra. This generalizes the results of Cederwall and Preitschopf, who
studied the -algebra, that is contained as a soft Kac-Moody part
in the superconformal algebra. A Fock-space representation is given, that has
to be somewhat unusual in certain modes.Comment: 19 pages, LATE
Unravelling the On-shell Constraints of Self-dual Supergravity Theories
We review a construction, using the harmonic space method, of solutions to
the superfield equations of motion for N-extended self-dual supergravity
theories. A superspace gauge condition suitable for the performance of a
component analysis is discussed.Comment: 5 pages, latex using espcrc2.sty, talk at the 29th International
Ahreshoop Symposium, Buckow, August 199
Toward the Universal Theory of Strings
We show that the superstrings may be viewed as a special class of the
superstrings and demonstrate their equivalence. This allows us to realize
all known string theories based on linear algebras and with
supersymmetries as special choices of the vacua in the superstring.Comment: Latex file, 8 pages, NBI-HET-94-08. The preprint number is changed
and one reference is adde
Comments on N=4 Superconformal Algebras
We present a new and asymmetric N=4 superconformal algebra for arbitrary
central charge, thus completing our recent work on its classical analogue with
vanishing central charge. Besides the Virasoro generator and 4 supercurrents,
the algebra consists of an internal SL(2) \otimes U(1) Kac-Moody algebra in
addition to two spin 1/2 fermions and a bosonic scalar. The algebra is shown to
be invariant under a linear twist of the generators, except for a unique value
of the continuous twist parameter. At this value, the invariance is broken and
the algebra collapses to the small N=4 superconformal algebra. In the context
of string theory, the asymmetric N=4 superconformal algebra is provided with an
explicit construction on the boundary of AdS_3, and is induced by an affine
SL(2|2) current superalgebra residing on the world sheet. Substituting the
world sheet SL(2|2) by the coset SL(2|2)/U(1) results in the small N=4
superconformal algebra on the boundary of AdS_3.Comment: 18 pages, LaTe
Worldsheets with Extended Supersymmetry
We determine the equations which govern the gauge symmetries of worldsheets
with local supersymmetry of arbitrary rank , and their possible
anomalies. Both classical and ghost conformally invariant multiplets of the
left or right sector are assembled into the components of a single
-superfield. The component with ghost number zero of this superfield is
the -supersymmetric generalization of the Beltrami differential. In a
Lagrangian approach, and after gauge-fixing, it becomes the super-moduli of
Riemann surfaces coupled to local supersymmetry of rank . It is also the
source of all linear superconformal currents derived from ordinary operator
product techniques. The interconnection between BRST invariant actions with
different values of , and their possible link to topological
2D-gravity coupled to topological sigma models, are shown by straightforward
algebraic considerations.Comment: 15 pages, Latex. A section on the connection to topological action is
adde
A Comment on the Holographic Renormalization Group and the Soft Dilaton Theorem
The equivalence between the holographic renormalization group and the soft
dilaton theorem is shown for a class of wrapped metrics solutions of the string
beta function equations for the bosonic string.Comment: LaTeX,7 pages. Typos corrected. Minor change
The Even and the Odd Spectral Flows on the N=2 Superconformal Algebras
There are two different spectral flows on the N=2 superconformal algebras
(four in the case of the Topological algebra). The usual spectral flow, first
considered by Schwimmer and Seiberg, is an even transformation, whereas the
spectral flow previously considered by the author and Rosado is an odd
transformation. We show that the even spectral flow is generated by the odd
spectral flow, and therefore only the latter is fundamental. We also analyze
thoroughly the four ``topological'' spectral flows, writing two of them here
for the first time. Whereas the even and the odd spectral flows have
quasi-mirrored properties acting on the Antiperiodic or the Periodic algebras,
the topological even and odd spectral flows have drastically different
properties acting on the Topological algebra. The other two topological
spectral flows have mixed even and odd properties. We show that the even and
the even-odd topological spectral flows are generated by the odd and the
odd-even topological spectral flows, and therefore only the latter are
fundamental.Comment: 15 pages, Latex. Minor improvements in the last paragraph of the
conclusions. Numbering of references has change
SYM, Chern-Simons, Wess-Zumino Couplings and their higher derivative corrections in IIA Superstring theory
We find the entire form of the amplitude of two fermion strings (with
different chirality), a massless scalar field and one closed string
Ramond-Ramond (RR) in IIA superstring theory which is different from its IIB
one. We make use of a very particular gauge fixing and explore several new
couplings in IIA. All infinite - channel scalar poles and - channel
fermion poles are also constructed. We find new form of higher derivative
corrections to two fermion two scalar couplings and show that the first simple
channel scalar pole for case can be obtained by having new
higher derivative corrections to SYM couplings at third order of . We
find that the general structure and the coefficients of higher derivative
corrections to two fermion two scalar couplings are completely different from
the derived higher derivative corrections of type IIB.Comment: 29 pages, no figure,Latex file,published version in EPJ
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