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 |
|---|---|---|---|---|---|---|---|---|---|
| 1774 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_2M_4$ + $ \phi_1q_2\tilde{q}_2$ + $ M_3X_1$ | 0.6178 | 0.7527 | 0.8207 | [X:[1.6138], M:[0.7725, 1.1587, 0.3862, 0.8413], q:[0.455, 0.7725], qb:[0.3862, 0.8413], phi:[0.3862]] | [X:[[1]], M:[[-2], [-3], [-1], [3]], q:[[4], [-2]], qb:[[-1], [3]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ \phi_1^2$, $ M_4$, $ M_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1q_1^2$, $ q_1\tilde{q}_2$, $ M_1^2$, $ M_1\phi_1^2$, $ \phi_1^4$, $ \phi_1q_2\tilde{q}_1$, $ M_1M_4$, $ M_4\phi_1^2$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ X_1$, $ M_4^2$, $ \phi_1q_1\tilde{q}_2$, $ M_1M_2$, $ M_2\phi_1^2$, $ \phi_1q_2^2$, $ M_1\phi_1\tilde{q}_1^2$ | $M_4\phi_1\tilde{q}_1^2$, $ M_1\tilde{q}_1\tilde{q}_2$ | 1 | 2*t^2.32 + t^2.52 + 2*t^3.48 + 2*t^3.68 + 2*t^3.89 + 3*t^4.63 + 3*t^4.84 + t^5.05 + 2*t^5.79 + t^6. + 4*t^6.21 + 2*t^6.41 + 5*t^6.95 + 3*t^7.16 + 3*t^7.37 + 3*t^7.57 + 3*t^7.78 + 2*t^8.11 - t^8.32 + t^8.52 + 4*t^8.73 + 2*t^8.94 - t^4.16/y - (2*t^6.48)/y + t^7.63/y + (4*t^7.84)/y + t^8.79/y - t^4.16*y - 2*t^6.48*y + t^7.63*y + 4*t^7.84*y + t^8.79*y | (2*t^2.32)/g1^2 + g1^3*t^2.52 + (2*t^3.48)/g1^3 + 2*g1^2*t^3.68 + 2*g1^7*t^3.89 + (3*t^4.63)/g1^4 + 3*g1*t^4.84 + g1^6*t^5.05 + (2*t^5.79)/g1^5 + t^6. + 4*g1^5*t^6.21 + 2*g1^10*t^6.41 + (5*t^6.95)/g1^6 + (3*t^7.16)/g1 + 3*g1^4*t^7.37 + 3*g1^9*t^7.57 + 3*g1^14*t^7.78 + (2*t^8.11)/g1^7 - t^8.32/g1^2 + g1^3*t^8.52 + 4*g1^8*t^8.73 + 2*g1^13*t^8.94 - t^4.16/(g1*y) - (2*t^6.48)/(g1^3*y) + t^7.63/(g1^4*y) + (4*g1*t^7.84)/y + t^8.79/(g1^5*y) - (t^4.16*y)/g1 - (2*t^6.48*y)/g1^3 + (t^7.63*y)/g1^4 + 4*g1*t^7.84*y + (t^8.79*y)/g1^5 |
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 |
|---|---|---|---|---|---|---|---|---|
| 2775 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_2M_4$ + $ \phi_1q_2\tilde{q}_2$ + $ M_3X_1$ + $ M_1M_5$ | 0.5999 | 0.7213 | 0.8316 | [X:[1.6114], M:[0.7772, 1.1658, 0.3886, 0.8342, 1.2228], q:[0.4457, 0.7772], qb:[0.3886, 0.8342], phi:[0.3886]] | t^2.33 + t^2.5 + 2*t^3.5 + 3*t^3.67 + 2*t^3.84 + t^4.66 + 2*t^4.83 + t^5.01 - t^4.17/y - t^4.17*y | detail |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 329 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_2M_4$ | 0.7203 | 0.8807 | 0.8179 | [X:[], M:[0.9045, 1.0186, 0.7904, 0.9814], q:[0.5292, 0.5663], qb:[0.4522, 0.6433], phi:[0.4522]] | t^2.37 + 2*t^2.71 + t^2.94 + t^3.06 + t^3.29 + t^3.52 + t^4.07 + t^4.3 + t^4.41 + t^4.53 + 2*t^4.64 + t^4.74 + t^4.75 + t^4.87 + t^4.99 + 2*t^5.08 + t^5.22 + t^5.32 + 3*t^5.43 + t^5.66 + t^5.89 - t^6. - t^4.36/y - t^4.36*y | detail |