ar X iv : h ep - t h / 93 09 06 7 v 1 1 0 Se p 19 93 Strings , Loops , Knots and Gauge Fields
نویسنده
چکیده
The loop representation of quantum gravity has many formal resemblances to a background-free string theory. In fact, its origins lie in attempts to treat the string theory of hadrons as an approximation to QCD, in which the strings represent flux tubes of the gauge field. A heuristic path-integral approach indicates a duality between background-free string theories and generally covariant gauge theories, with the loop transform relating the two. We review progress towards making this duality rigorous in three examples: 2d Yang-Mills theory (which, while not generally covariant, has symmetry under all area-preserving transformations), 3d quantum gravity, and 4d quantum gravity. SU(N) YangMills theory in 2 dimensions has been given a string-theoretic interpretation in the large-N limit by Gross, Taylor, Minahan and Polychronakos, but here we provide an exact string-theoretic interpretation of the theory on R× S1 for finite N . The string-theoretic interpretation of quantum gravity in 3 dimensions gives rise to conjectures about integrals on the moduli space of flat connections, while in 4 dimensions there may be connections to the theory of 2-tangles.
منابع مشابه
ar X iv : h ep - t h / 93 06 05 7 v 1 1 1 Ju n 19 93 HUPAPP - 93 / 1 Spacetime Variable Superstring Vacua ( Calabi - Yau Cosmic Yarn )
In a general superstring vacuum configuration, the ‘internal’ space (sector) varies in spacetime. When this variation is nontrivial only in two space-like dimensions, the vacuum contains static cosmic strings with finite energy per unit length and which is, up to interactions with matter, an easily computed topological invariant. The total spacetime is smooth although the ‘internal’ space is si...
متن کاملar X iv : h ep - l at / 9 80 90 93 v 1 1 4 Se p 19 98
The static potential in the 3d SU(2) Higgs model is computed by a variational calculation employing Wilson loops and two-meson operators. String breaking is demonstrated numerically, the breaking scale is determined and the results are compared with a quenched calculation.
متن کاملar X iv : h ep - t h / 97 09 10 7 v 1 1 5 Se p 19 97 1 Notes on Matrix and Micro Strings ∗
We review some recent developments in the study of M-theory compactifications via Matrix theory. In particular we highlight the appearance of IIA strings and their interactions, and explain the unifying role of the M-theory five-brane for describing the spectrum of the T 5 compactification and its duality symmetries. The 5+1-dimensional micro-string theory that lives on the fivebrane world-volu...
متن کاملar X iv : h ep - t h / 97 09 10 7 v 2 2 2 Se p 19 97 1 Notes on Matrix and Micro Strings ∗
We review some recent developments in the study of M-theory compactifications via Matrix theory. In particular we highlight the appearance of IIA strings and their interactions, and explain the unifying role of the M-theory five-brane for describing the spectrum of the T 5 compactification and its duality symmetries. The 5+1-dimensional micro-string theory that lives on the fivebrane world-volu...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 1993