log(swap)

Unimodular Research

log(swap)

A risk-invariant liquidity primitive for institutional DeFi, built on the logarithmic invariant.

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usdc liquidity
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24h volume
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24h fees
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apy

devnet figures — mainnet is not live

Explore the concepts ↓

What follows from one invariant

01
Predictable market impact
The displayed liquidity L determines exact price impact, so what you see is what you get: log-price slippage is Δx = ΔQ / L.
02
Explicit liquidity
Liquidity L remains constant across prices above the floor. Risk is constant in the dimensions that matter: exposure — Δ — and the LVR risk — Γ — are both equal to L, making exposure hedgeable and P&L quantifiable.
03
Capital efficiency
For the same reserves, displayed liquidity is roughly four times that of the xy = k invariant — the same capital, four times the depth.
04
Simple liquidity workflows
Positions are fungible and liquidity is algebraic. Portfolios can be combined, split, rebalanced or resized without rebuilding fragmented ranges and positions.
05
Institutional infrastructure
At the core, the protocol provides the foundations for compliant liquidity infrastructure: protocol-owned liquidity, and private pools with controlled access. SLAs and KPIs are contract-enforced parameters, under the sponsor's full control.

In log we trust

The whole synthesis is the whitepaper.

log(dex) log(docs) log(research) log(pad) soon log(earn) soon log(lend) soon
h — square pixels