EAEnrico Andriolo

Enrico Andriolo

*This is an algorithmically generated author record based on publicly available information.

Enrico Andriolo has a total of 7 co-authors. Here are the top co-authors by number of shared publications:


Latest Publications

  • Open Access

    Covariantly constant anomalies on conformal manifolds

    by Enrico Andriolo, Vasilis Niarchos, Constantinos Papageorgakis, Elli Pomoni

    Operators with integer scaling dimensions in even-dimensional conformal field theories exhibit well-known type-B Weyl anomalies. In general, these anomalies depend nontrivially on exactly marginal couplings. We study the corresponding fully covariantized anomaly functional on conformal manifolds in several examples. We show that a natural consequence of the Wess-Zumino consistency condition is that the anomalies are covariantly constant with respect to the exactly marginal couplings. The argument is general and applies even when the conformal symmetry is spontaneously broken on moduli spaces of vacua.


  • Open Access

    Covariantly Constant Anomalies on Conformal Manifolds

    by Enrico Andriolo, Vasilis Niarchos, Constantinos Papageorgakis, Elli Pomoni

    Operators with integer scaling dimensions in even-dimensional conformal field theories exhibit well-known type-B Weyl anomalies. In general, these anomalies depend non-trivially on exactly marginal couplings. We study the corresponding fully covariantised anomaly functional on conformal manifolds in several examples. We show that a natural consequence of the Wess-Zumino consistency condition is that the anomalies are covariantly constant with respect to the exactly marginal couplings. The argument is general and applies even when the conformal symmetry is spontaneously broken on moduli spaces of vacua.

  • Open Access

    A path integral for the chiral-form partition function

    by E. Andriolo, N. Lambert, T. Orchard, C. Papageorgakis

    Starting from the recent action proposed by Sen [1, 2], we evaluate the partition function of the compact chiral boson on a two-dimensional torus using a path-integral formulation. Crucially, we use a Wick-rotation procedure obtained from a complex deformation of the physical spacetime metric. This directly reproduces the expected result including general characteristics for the theta functions. We also present results for the chiral 2-form potential in six dimensions which can be readily extended to 4k+2 dimensions.


  • Open Access

    A Path Integral for the Chiral-Form Partition Function

    by Enrico Andriolo, Neil Lambert, Tristan Orchard, Constantinos Papageorgakis

    Starting from the recent action proposed by Sen [1,2], we evaluate the partition function of the compact chiral boson on a two-dimensional torus using a path-integral formulation. Crucially, we use a Wick-rotation procedure obtained from a complex deformation of the physical spacetime metric. This directly reproduces the expected result including general characteristics for the theta functions. We also present results for the chiral 2-form potential in six dimensions which can be readily extended to 4k+2 dimensions.

  • Open Access

    Macdonald Indices for Four-dimensional $\mathcal N=3$ Theories

    by Prarit Agarwal, Enrico Andriolo, Gergely Kántor, Constantinos Papageorgakis

    We brute-force evaluate the vacuum character for $\mathcal N=2$ vertex operator algebras labelled by crystallographic complex reflection groups $G(k,1,1)=\mathbb Z_k$, $k=3,4,6$, and $G(3,1,2)$. For $\mathbb Z_{3,4}$ and $G(3,1,2)$ these vacuum characters have been conjectured to respectively reproduce the Macdonald limit of the superconformal index for rank one and rank two S-fold $\mathcal N=3$ theories in four dimensions. For the $\mathbb Z_3$ case, and in the limit where the Macdonald index reduces to the Schur index, we find agreement with predictions from the literature.

  • Open Access

    Macdonald indices for four-dimensional N=3 theories

    by Prarit Agarwal, Enrico Andriolo, Gergely Kántor, Constantinos Papageorgakis

    We brute-force evaluate the vacuum character for N=2 vertex operator algebras labeled by crystallographic complex reflection groups G(k,1,1)=Zk, k=3, 4, 6, and G(3,1,2). For Z3,4 and G(3,1,2) these vacuum characters have been conjectured to respectively reproduce the Macdonald limit of the superconformal index for rank one and rank two S-fold N=3 theories in four dimensions. For the Z3 case, and in the limit where the Macdonald index reduces to the Schur index, we find agreement with predictions from the literature.


  • Open Access

    Geometrical aspects of an Abelian (2,0) action

    by E. Andriolo, N. Lambert, C. Papageorgakis

    We explore various geometrical aspects of an action for six-dimensional chiral 2-forms based on the formalism of 1903.12196. We elucidate the coupling to general backgrounds and construct the full supersymmetric completion to an abelian (2, 0) superconformal lagrangian including matter. We investigate the non-standard diffeomorphism properties of the fields and their relation to the hamiltonian formulation. We also test the action by considering compactifications on a circle, K3 and a Riemann surface. The results are consistent with expectations for an action describing the low-energy physics of an M5-brane in M-theory.


  • Open Access

    Geometrical Aspects of An Abelian (2,0) Action

    by E. Andriolo, N. Lambert, C. Papageorgakis

    We explore various geometrical aspects of an action for six-dimensional chiral 2-forms based on the formalism of 1903.12196. We elucidate the coupling to general backgrounds and construct the full supersymmetric completion to an abelian (2,0) superconformal lagrangian including matter. We investigate the non-standard diffeomorphism properties of the fields and their relation to the hamiltonian formulation. We also test the action by considering compactifications on a circle, K3 and a Riemann surface. The results are consistent with expectations for an action describing the low-energy physics of an M5-brane in M-theory.