1,467 research outputs found
Spontaneous Breaking of Extended Supersymmetry in Global and Local Theories
We review the "no-go" theorems that severely constrain the breaking of N=2
supersymmetry to N=1 (both in rigid supersymmetry and supergravity), and we
exhibit some models that evade them.Comment: Contribution to the proceedings of the Spring School and Workshop on
String Theory, Gauge Theory and Quantum Gravity, ICTP, Trieste, Italy, March
18-29,1996. Latex file, uses espcrc2.sty and epsf.st
Grassmannian Sigma Models and Topological-Antitopological Fusion
We study the topological-antitopological fusion equations for supersymmetric
sigma models on Grassmannian manifolds G(k,N). We find a basis in which the
metric becomes diagonal and the equations become tractable. The solution
for the metric of G(k,N) can then be described in terms of the metric for the
models. The IR expansion helps clarify the picture of the vacua and
gives the soliton numbers and masses. We also show that the equation for
G(k,N) in the large N limit is solvable, for any k.Comment: 20 pages (LaTeX), OUTP-94-22
Differential Equations for Periods and Flat Coordinates in Two Dimensionsional Topological Matter Theories
We derive directly from the N=2 LG superpotential the differential equations
that determine the flat coordinates of arbitrary topological CFT's.Comment: 34
Massive Orbifold
We study some aspects of 2d supersymmetric sigma models on orbifolds. It
turns out that independently of whether the 2d QFT is conformal the operator
products of twist operators are non-singular, suggesting that massive
(non-conformal) orbifolds also `resolve singularities' just as in the conformal
case. Moreover we recover the OPE of twist operators for conformal theories by
considering the UV limit of the massive orbifold correlation functions.
Alternatively, we can use the OPE of twist fields at the conformal point to
derive conditions for the existence of non-singular solutions to special
non-linear differential equations (such as Painleve III).Comment: 12 page
Dynamics of Supersymmetric Gauge Theory
We study the physics of the Seiberg-Witten and
Argyres-Faraggi-Klemm-Lerche-Theisen-Yankielowicz solutions of ,
and supersymmetric gauge theory. The
theory is confining and its effective Lagrangian is a
spontaneously broken abelian gauge theory. We identify some
features of its physics which see this internal structure, including a spectrum
of different string tensions. We discuss the limit ,
identify a scaling regime in which instanton and monopole effects survive, and
give exact results for the crossover from weak to strong coupling along a
scaling trajectory. We find a large hierarchy of mass scales in the scaling
regime, including very light bosons, and the absence of weak coupling. The
light 's leave a novel imprint on the effective dual magnetic theory. The
effective Lagrangian appears to be inadequate to understand the conventional
large limit of the confining theory.Comment: 28 pages, harvmac, 4 eps figures in separate uuencoded file. We have
extended this paper considerably, adding new results, discussion and figures.
In particular, we give exact formulas for masses and couplings along a
scaling trajectory appropriate to the large limit. These formulas display
a novel effect due to light electric bosons down to energy scales , deep in the weak coupling magnetic regim
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