# A New insight into BRST anomalies in string theory

@article{Fujiwara1993ANI, 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}, year={1993}, volume={391}, pages={211-228} }

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

#### 13 Citations

New Insight into BRST Anomalies in Superstring Theory (弦理論と量子重力の課題)

- Physics
- 1994

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

- Physics
- 1994

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-time… Expand

Unrecognizable black holes in two dimensions

- Physics
- 1993

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 the… Expand

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 that… Expand

Virasoro anomaly, trace anomaly and the Liouville action for 2D gravity

- Physics
- 1994

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 canonical… Expand

Canonical approach to 2D induced gravity

- Physics
- 2001

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… Expand

BRST INVARIANCE OF NONLOCAL CHARGES AND MONODROMY MATRIX OF BOSONIC STRING ON AdS5×S5

- Physics
- 2007

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 the… Expand

Path-integral Fujikawa’s approach to anomalous virial theorems and equations of state for systems with SO(2,1) symmetry

- Physics
- 2016

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 the… Expand

Canonical approach to string theory in massive background fields

- Physics
- 1996

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 closed… Expand

Structure of the anomaly in the canonical quantization of bosonic strings in background fields

- Physics
- 1996

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 the… Expand

#### References

SHOWING 1-10 OF 70 REFERENCES

BRS current and related anomalies in two-dimensional gravity and string theories

- Physics
- 1989

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 a… Expand

Investigation of anomalous Schwinger terms based on the Batalin-Fradkin-Vilkovisky formalism

- Physics
- 1991

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 the… Expand

Covariant quantization of string based on BRS invariance

- Physics
- 1983

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 condition… Expand

Anomaly in the Schrödinger representation of QFT

- Physics
- 1992

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-integral… Expand

Renormalization of gauge theories

- Physics
- 1975

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. These… Expand

BRS anomaly and the weyl freedom in string theory

- Physics
- 1988

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 the… Expand

Renormalization of the abelian Higgs-Kibble model

- Mathematics, Physics
- 1975

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 Bogoliubov… Expand

A METHOD TO CALCULATE $Q_{\rm BRST}^2$ IN THE PATH-INTEGRAL QUANTIZATION

- Physics
- 1991

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 that… Expand

Weyl gauge fixing and BRS symmetry in string theory

- Physics
- 1987

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

- Physics
- 1973

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 out… Expand