2D induced gravity as an effective WZNW system
نویسندگان
چکیده
منابع مشابه
Gauge connection between the WZNW system and 2D induced gravity
We introduce a consistent gauge extension of the SL(2, R) WZNW system, defined by a difference of two simple WZNW actions. By integrating out some dynamical variables in the functional integral, we show that the resulting effective theory coincides with the induced gravity in 2D. General solutions of both theories are found and related to each other. 1 Gauge extension of the WZNW system Dynamic...
متن کامل2D induced gravity from canonically gauged WZNW system
Starting from the Kac–Moody structure of the WZNW model for SL(2, R) and using the general canonical formalism, we formulate a gauge theory invariant under local SL(2, R)× SL(2, R) and diffeomorphisms. This theory represents a gauge extension of the WZNW system, defined by a difference of two simple WZNW actions. By performing a partial gauge fixing and integrating out some dynamical variables,...
متن کاملGravity and Induced Effective Theories
We develop the gauge approach based on the Lorentz group to the gravity with torsion. With a Lagrangian quadratic in curvature we show that the Einstein-Hilbert action can be induced from a simple gauge model due to quantum corrections of torsion via formation of a gravito-magnetic condensate. An effective theory of cosmic knots at Planckian scale is proposed. 1. Utiyama-Kibble-Sciama gauge app...
متن کاملSpontaneous compactification in 2D induced quantum gravity
Spontaneous compactification —on a R × S background— in 2D induced quantum gravity (considered as a toy model for more fundamental quantum gravity) is analyzed in the gauge-independent effective action formalism. It is shown that such compactification is stable, in contradistinction to multidimensional quantum gravity on a R×S (D > 2) background —which is known to be one-loop unstable. On leave...
متن کاملCanonical approach to 2D induced gravity
Using canonical method the Liouville theory has been obtained as a gravitational Wess-Zumino action of the Polyakov string. From this approach it is clear that the form of the Liouville action is the consequence of the bosonic representation of the Virasoro algebra, and that the coefficient in front of the action is proportional to the central charge and measures the quantum braking of the clas...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical Review D
سال: 1998
ISSN: 0556-2821,1089-4918
DOI: 10.1103/physrevd.58.084024