A New insight into BRST anomalies in string theory

  title={A New insight into BRST anomalies in string theory},
  author={Takanori Fujiwara and Yuji Igarashi and Jisuke Kubo and Kayoko Maeda},
  journal={Nuclear Physics},
Abstract Using the generalized hamiltonian method of Batalin, Fradkin and Vilkovisky, we investigate the algebraic structure of anomalies in the Polyakov string theory that appear as the Schwinger terms in super-commutation relations between BRST charge and total hamiltonian. We obtain the most general form of anomalies in the extended phase space, without any reference to a two-dimensional metric. This pregeometrical result, referred to as the generalized Virasoro anomaly which is independent… Expand
New Insight into BRST Anomalies in Superstring Theory (弦理論と量子重力の課題)
Abstract Based on the extended BRST formalism of Batalin, Fradkin and Vilkovisky, we perform a general algebraic analysis of the BRST anomalies in superstring theory of Neveu-Schwarz-Ramond.Expand
An analysis on the convergence of equal-time commutators and the closure of the BRST algebra in Yang-Mills theories
Abstract In renormalizable theories, we define equal-time commutators (ETCs) in terms of the equal-time limit and investigate their convergence in perturbation theory. We find that the equal-timeExpand
Unrecognizable black holes in two dimensions
Abstract The classical 2D cosmological model of Callan, Giddings, Harvey and Strominger possesses a global symmetry that is responsible for decoupling of matter fields. The model is quantized on theExpand
Invariance of Non-local Charges and Monodromy Matrix of Bosonic String on AdS 5 × S 5
Using the generalized Hamiltonian method of Batalin, Fradkin and Vilkovsky we develop the BRST formalism for the bosonic string on AdS 5 ×S 5 formulated as principal chiral model. Then we show thatExpand
Virasoro anomaly, trace anomaly and the Liouville action for 2D gravity
Abstract The relation among the 2D general covariance, the Weyl invariance, the Virasoro anomaly and the trace anomaly in a conformal field theory coupled to 2D gravity is investigated in canonicalExpand
Canonical 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 theExpand
Using the generalized Hamiltonian method of Batalin, Fradkin and Vilkovsky we develop the BRST formalism for the bosonic string on AdS5×S5 formulated as principal chiral model. Then we show that theExpand
Path-integral Fujikawa’s approach to anomalous virial theorems and equations of state for systems with SO(2,1) symmetry
We derive anomalous equations of state for nonrelativistic 2D complex bosonic fields with contact interactions, using Fujikawa’s path-integral approach to anomalies and scaling arguments. In theExpand
Canonical approach to string theory in massive background fields
A method of constructing a canonical gauge-invariant quantum formulation for a non-gauge classical theory depending on a set of parameters is advanced and then applied to the theory of a closedExpand
Structure of the anomaly in the canonical quantization of bosonic strings in background fields
We consider the anomaly problem in the generalized canonical quantization of a bosonic string interacting with background graviton and antisymmetric tensor fields. We derive an equation for theExpand


BRS current and related anomalies in two-dimensional gravity and string theories
The BRS currents in two-dimensional gravity and supergravity theories, which are related to string theory, contain anomalous terms. The origin of these anomalies can be neatly understood in aExpand
Investigation of anomalous Schwinger terms based on the Batalin-Fradkin-Vilkovisky formalism
Abstract On the basis of the generalized hamiltonian formalism of Batalin, Fradkin and Vilkovisky, we investigate the algebraic structure of the anomalous Schwinger terms that appear in theExpand
Covariant quantization of string based on BRS invariance
Abstract Covariant canonical quantization of the bosonic string is performed, based on the BRS invariance principle. Defining a physical state by a modified form of Kugo-Ojima's subsidiary conditionExpand
Anomaly in the Schrödinger representation of QFT
Abstract The finite-time path-integral representation of the Schrodinger wave functional is considered to find a method for calculating anomalous commutators in terms of anomalous path-integralExpand
Renormalization of gauge theories
Gauge theories are characterized by the Slavnov identities which express their invariance under a family of transformations of the supergauge type which involve the Faddeev Popov ghosts. TheseExpand
BRS anomaly and the weyl freedom in string theory
Abstract It is shown that an anomalous correction to the BRS current ΔJ z =( 3 4 π)∂ z 2 c z in bosonic string theory essentially corresponds to the surface term ( 3 8 π)ʃ∂ α (c α √gR) d 2 x in theExpand
Renormalization of the abelian Higgs-Kibble model
This article is devoted to the perturbative renormalization of the abelian Higgs-Kibble model, within the class of renormalizable gauges which are odd under charge conjugation. The BogoliubovExpand
The BRST transformation of wave functional represented in a finite-time path-integral is analyzed in the generalized Hamiltonian formalism of Batalin, Fradkin, and Vilkovisky, and it is shown thatExpand
Weyl gauge fixing and BRS symmetry in string theory
The Weyl freedom in string theory is incorporated into the BRS symmetry in the conformal-type gauge fixing. This clarifies the origins of the requirements such as D = 26 and the intercept condition.Expand
Quantum dynamics of a massless relativistic string
Abstract We develop the classical and quantum mechanics of a massless relativistic string, the light string, which is characterized by an action proportional to the area of the world sheet swept outExpand