author={John H. Schwarz},
  journal={International Journal of Modern Physics A},
  • J. Schwarz
  • Published 9 July 2001
  • Geology
  • International Journal of Modern Physics A
The mechanism by which gauge and gravitational anomalies cancel in certain string theories is reviewed. The presentation is aimed at theorists who do not necessarily specialize in string theory. 

Modular Forms and Anomaly Cancellations in String Theory and M-Theory

  • F. HanKefeng Liu
  • Physics
    Notices of the International Congress of Chinese Mathematicians
  • 2021
String theory is a candidate theory in particle physics for reconciling quantum mechanics and general relativity, i.e. quantum gravity. Moreover, it’s also a candidate of TOE (“theory of

Aspects of branes in (heterotic) M-theory

First a short introduction to principles and some recent developments in string theory is given. In a second part the effective action for fiveas well as four-dimensional heterotic M-theory in the

Anomaly Cancellation and Modularity

It has been shown that the Alvarez-Gaume-Witten miraculous anomaly cancellation formula in type IIB superstring theory and its various gen- eralizations can be derived from modularity of certain

Fivebrane Structures

We study the cohomological physics of fivebranes in type II and heterotic string theory. We give an interpretation of the one-loop term in type IIA, which involves the first and second Pontrjagin

Friendly Giant Meets Pointlike Instantons? On a New Conjecture by John McKay

A new conjecture due to John McKay claims that there exists a link between (1) the conjugacy classes of the Monster sporadic group and its offspring, and (2) the Picard groups of bases in certain



Anomaly inflow and RR anomalous couplings

We review the anomaly inflow mechanism on D-branes and O-planes. In particular, we compute the one-loop world-volume anomalies and derive the RR anomalous couplings required for their cancellation.

Anomaly Analysis of Brane-Antibrane Systems

String theories with branes can often be generalized by adding brane-antibrane pairs. We explore the cancellation of anomalies in this more general context, extending the familiar anomaly-cancelling

IIB or not IIB

We consider Type IIB superstring theory with the addition of n 9-branes and n anti-9-branes (and no orientifolds). The result is a ten-dimensional chiral theory of open and closed oriented strings

Some properties of open string theories

Open-string theories may be related to suitable models of oriented closed strings. The resulting construction of ``open descendants'' is illustrated in a few simple cases that exhibit some of its key

String theory.

The current “standard model” of particle physics—which is nearly 25 years old, has much experimental evidence in its favor and is comprised of six quarks, six leptons, four forces, and the as yet unobserved Higgs boson—contains internal indications that it, too, may be just another step along the path toward uncovering the truly fundamental degrees of freedom.

Anomaly Cancellations in the Type I D9-anti-D9 System and the USp(32) String Theory

We check some consistency conditions for the D9-anti-D9 system in type I string theory. The gravitational anomaly and gauge anomaly for SO(n) x SO(m) gauge symmetry are shown to be cancelled when

Nucl. Phys. B

  • Nucl. Phys. B
  • 1984

Phys. Lett. B

  • Phys. Lett. B
  • 1984