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Covariant quantization of string theories is developed in the context of conformal field theory and the BRST quantization procedure. The BRST method is used to covariantly quantize superstrings, andâ€¦ (More)

Determinant formulae are presented for the periodic, antiperiodic and twisted N = 2 superconformal algebras in two dimensions, and a classification is derived of the unitary highest weightâ€¦ (More)

Some years ago, Polyakov [1] proposed constructing all conformally invariant quan tum field theories by using the constraint of conformal invariance to make concrete the fundamental principles ofâ€¦ (More)

- Daniel Friedan, Stephen H. Shenker, Enrzco Ferret
- 2002

L Introduction. The fermionic string has been proposed as a unified theory of matter interacting through gauge and gravitational forces. Attractive features of string theory include the rich masslessâ€¦ (More)

- Daniel Friedan, Anatoly Konechny
- Physical review letters
- 2004

The boundary beta function generates the renormalization group acting on the universality classes of one-dimensional quantum systems with boundary which are critical in the bulk but not critical atâ€¦ (More)

- Daniel Friedan, Zongan QIU, Stephen H. Shenker
- 2002

We discuss the realization of superconformal invariance in two dimensional quantum field theory. The Hilbert space of a superconformal theory splits into two sectors; one a representation of theâ€¦ (More)

- Daniel Friedan, Zongan Qiu, Stephen H. Shenker, Stephen H. Shenker
- 2004

We give an exposition of the details of the proof that all highest weight representations of the Virasoro algebra for c < 1 which are not in the discrete series are non-unitary. The Virasoro algebraâ€¦ (More)

We derive a formula for the curvature tensor of the natural Riemannian metric on the space of two-dimensional conformal field theories and also a formula for the curvature tensor of the space ofâ€¦ (More)

- Daniel Friedan
- 2008

We present some partial results on the general infrared behavior of bulk-critical 1-d quantum systems with boundary. We investigate whether the boundary entropy, s(T ), is always bounded below as theâ€¦ (More)

We give a non-perturbative proof of a gradient formula for beta functions of two-dimensional quantum field theories. The gradient formula has the form âˆ‚ic = âˆ’(gij + gij + bij )Î² where Î² are the betaâ€¦ (More)