Chosen Fixed Point
Here is the data for the chosen fixed point.
$F_{UV}$ represents the flavor symmetries in the UV Lagrangian, and $F_{IR}$ represents the flavor symmetries in the IR. $F_{UV}$ and $F_{IR}$ can differ due to accidental symmetry enhancement.
The number of marginal operators, $n_{marginal}$, minus the dimension of flavor symmetries in IR, $|F_{IR}|$, corresponds to the coefficient of $t^6$ in the superconformal index.
| # | Theory | Superpotential | Central charge $a$ | Central charge $c$ | Ratio $a/c$ | Matter field: $R$-charge | U(1) part of $F_{UV}$ | Rank of $F_{UV}$ | Rational |
|---|---|---|---|---|---|---|---|---|---|
| 8200 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ \phi_1q_1^3q_2$ + $ \phi_1q_2^2$ + $ \phi_1^4X_2$ | 0.7632 | 0.7944 | 0.9607 | [X:[1.75, 1.5], M:[], q:[0.3125, 0.9375], qb:[], phi:[0.125]] | [X:[[0], [0]], M:[], q:[[0], [0]], qb:[], phi:[[0]]] | 0 | {a: 1563/2048, c: 1627/2048, X1: 7/4, X2: 3/2, q1: 5/16, q2: 15/16, phi1: 1/8} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\phi_1q_1^2$, $ \phi_1^3q_1^2$, $ q_1q_2$, $ \phi_1^2q_1q_2$, $ X_2$, $ X_1$ | $\phi_1^6q_1^4$ | 1 | t^2.25+t^3.+t^3.75+2*t^4.5+t^5.25+t^6.+3*t^6.75+3*t^7.5+t^8.25-t^8.62+t^7.5/y^2-t^8.62/y^2-t^3.38/y-t^4.12/y-t^5.62/y-t^6.38/y-t^7.12/y-(2*t^7.88)/y+t^8.25/y-t^8.62/y-t^3.38*y-t^4.12*y-t^5.62*y-t^6.38*y-t^7.12*y-2*t^7.88*y+t^8.25*y-t^8.62*y+t^7.5*y^2-t^8.62*y^2 | t^2.25+t^3.+t^3.75+2*t^4.5+t^5.25+t^6.+3*t^6.75+3*t^7.5+t^8.25-t^8.62+t^7.5/y^2-t^8.62/y^2-t^3.38/y-t^4.12/y-t^5.62/y-t^6.38/y-t^7.12/y-(2*t^7.88)/y+t^8.25/y-t^8.62/y-t^3.38*y-t^4.12*y-t^5.62*y-t^6.38*y-t^7.12*y-2*t^7.88*y+t^8.25*y-t^8.62*y+t^7.5*y^2-t^8.62*y^2 |
Deformation
Here is the data for the deformed fixed points from the chosen fixed point.
| # | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
|---|---|---|---|---|---|---|---|---|
| 8381 | $\phi_1^2X_1$ + $ \phi_1q_1^3q_2$ + $ \phi_1q_2^2$ + $ \phi_1^4X_2$ + $ M_1\phi_1q_1^2$ | 0.7441 | 0.7598 | 0.9794 | [X:[1.75, 1.5], M:[1.25], q:[0.3125, 0.9375], qb:[], phi:[0.125]] | t^3.+2*t^3.75+t^4.5-t^3.38/y-t^4.12/y-t^3.38*y-t^4.12*y | detail | {a: 381/512, c: 389/512, X1: 7/4, X2: 3/2, M1: 5/4, q1: 5/16, q2: 15/16, phi1: 1/8} |
| 8389 | $\phi_1^2X_1$ + $ \phi_1q_1^3q_2$ + $ \phi_1q_2^2$ + $ \phi_1^4X_2$ + $ M_1q_1q_2$ | 0.7822 | 0.8291 | 0.9435 | [X:[1.75, 1.5], M:[0.75], q:[0.3125, 0.9375], qb:[], phi:[0.125]] | 2*t^2.25+t^3.+4*t^4.5+2*t^5.25-t^3.38/y-t^4.12/y-(2*t^5.62)/y-t^3.38*y-t^4.12*y-2*t^5.62*y | detail | {a: 801/1024, c: 849/1024, X1: 7/4, X2: 3/2, M1: 3/4, q1: 5/16, q2: 15/16, phi1: 1/8} |
Equivalent Fixed Points from Other Seed Theories
Here is a list of equivalent fixed points from other gauge theories.
| # | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
|---|
Equivalent Fixed Points from the Same Seed Theory
Below is a list of equivalent fixed points from the same seed theories.
| id | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | More Info. | Rational |
|---|
Previous Theory
The previous fixed point before deforming to get the chosen fixed point.
| # | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
|---|---|---|---|---|---|---|---|---|---|
| 8184 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ \phi_1q_1^3q_2$ | 1.1587 | 1.2795 | 0.9056 | [X:[1.6334], M:[], q:[0.4582, 0.4421], qb:[], phi:[0.1833]] | t^2.2+t^2.7+t^3.2+t^3.25+t^3.3+t^3.8+t^4.3+t^4.35+2*t^4.4+2*t^4.9+2*t^5.4+t^5.45+t^5.5+t^5.9-t^3.55/y-t^4.65/y-t^5.75/y-t^3.55*y-t^4.65*y-t^5.75*y | detail |