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I am trying to understand notation of this textbook http://arxiv.org/abs/hep-th/0108200

page 8, formulas 2.1.4 and 2.1.5

$$\int d \theta_\alpha \theta^\beta=\delta_\alpha^\beta$$

this could be found in any textbook the weird that from the above formula follows

$$\int d^2 \theta \; \theta^2=-1$$

I know what θ^{2}means, but what is d^{2}θ I could hardly guess. According to standard Berezin definition there should be $i$ in the r.h.s. of the last formula

Please help to clarify this

Best wishes

Korybut Anatoly

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# Grassmann integration

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