# Alessandra Cagnazzo (20/05/16)

[:is]Málstofa í stærðfræði

### Fyrirlesari: Alessandra Cagnazzo Titill: Anomalous dimension in 2d non-linear sigma models.

Staðsetning: TG-227, (tæknistofan, annarri hæð í Tæknigarði)
Tími: Föstudagur 20. maí kl. 13:20.

### Ágrip:

2d non-linear sigma models are widely used in high and low energy physics. In my talk I will present how to compute the one-loop anomalous dimension for fields in some cases in which the background is a coset space. I will review the formula for the case in which the background is a symmetric coset (that admits a $$Z_2$$ automorphism) and present the new result for $$Z_4$$-cosets. The last result is applicable to the string described by the pure spinor formalism on $$\mathrm{AdS}_5\times S^5$$ and it is relevant for AdS/CFT.[:en]Math Colloquium

### Speaker: Alessandra Cagnazzo Title: Anomalous dimension in 2d non-linear sigma models.

Location: TG-227, (tæknistofan, Tæknigarður 2nd floor)
Time: Friday, May 20 at 13:20.

### Abstract:

2d non-linear sigma models are widely used in high and low energy physics. In my talk I will present how to compute the one-loop anomalous dimension for fields in some cases in which the background is a coset space. I will review the formula for the case in which the background is a symmetric coset (that admits a $$Z_2$$ automorphism) and present the new result for $$Z_4$$-cosets. The last result is applicable to the string described by the pure spinor formalism on $$\mathrm{AdS}_5\times S^5$$ and it is relevant for AdS/CFT.[:]