Chern-Simons terms from thermal circles and anomalies
نویسندگان
چکیده
We compute the full contribution of flavor and (or) Lorentz anomalies to the thermodynamic partition function. Apart from the Wess-Zumino consistency condition the Euclidean generating function must satisfy an extra requirement which we refer to as ‘consistency with the Euclidean vacuum’. The latter requirement fixes all Chern-Simons terms that arise in a particular Kaluza-Klein reduction of the theory. The solution to both conditions may be encoded in a ‘thermal anomaly polynomial’ which we compute. Our construction fixes all the thermodynamic response parameters of a hydrodynamic theory associated with anomalies.
منابع مشابه
Gauge symmetries and holographic anomalies of Chern-Simons and transgression AdS gravity
We review the issue of gauge and gravitational anomalies with backgrounds, offering a new outlook on some aspects of these questions. We compute the holographic anomalies of hypothetical theories dual, in the sense of the AdS-CFT correspondence, to Chern-Simons AdS gravity. Those anomalies are either gauge anomalies, associated to the AdS gauge group of the theory, or diffeomorphism anomalies, ...
متن کامل0 Descendants of the Chiral Anomaly
Chern-Simons terms are well-known descendants of chiral anomalies, when the latter are presented as total derivatives. Here I explain that also Chern-Simons terms, when defined on a 3-manifold, may be expressed as total derivatives. The axial anomaly, that is, the departure from transversality of the correlation function for fermion vector, vector, and axial vector currents, involves * F F , an...
متن کاملAnomalies / Chern - Simons terms in any D
The Dirac quantization procedure of a magnetic monopole can be used to derive the coefficient of theD = 3 Chern-Simons term through a self-consistency argument, which can be readily generalized to any odd D. This yields consistent and covariant axial anomaly coefficients on a D−1 boundary, and Chern-Simons term coefficients in D. In D = 3 magnetic monopoles cannot exist if the Chern-Simons AdA ...
متن کاملW Gravity From Chern–Simons Theory
Starting with three dimensional Chern–Simons theory with gauge group Sl(N, IR), we derive an action Scov invariant under both left and right WN transformations. We give an interpretation of Scov in terms of anomalies, and discuss its relation with Toda theory. e-mail: [email protected] e-mail: [email protected]
متن کاملHolographic Description of Gravitational Anomalies
The holographic duality can be extended to include quantum theories with broken coordinate invariance leading to the appearance of the gravitational anomalies. On the gravity side one adds the gravitational Chern-Simons term to the bulk action which gauge invariance is only up to the boundary terms. We analyze in detail how the gravitational anomalies originate from the modified Einstein equati...
متن کامل