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 |
|---|---|---|---|---|---|---|---|---|---|
| 4050 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_2M_5$ + $ M_6\phi_1q_2^2$ + $ M_4M_6$ + $ M_3X_1$ + $ M_6M_7$ + $ M_1M_5$ | 0.5067 | 0.6448 | 0.7857 | [X:[1.3684], M:[1.1579, 1.1579, 0.6316, 0.7368, 0.8421, 1.2632, 0.7368], q:[0.7895, 0.1579], qb:[0.6842, 0.6842], phi:[0.4211]] | [X:[[0]], M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 27801/54872, c: 17691/27436, X1: 26/19, M1: 22/19, M2: 22/19, M3: 12/19, M4: 14/19, M5: 16/19, M6: 24/19, M7: 14/19, q1: 15/19, q2: 3/19, qb1: 13/19, qb2: 13/19, phi1: 8/19} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_7$, $ M_5$, $ \phi_1^2$, $ q_1q_2$, $ M_1$, $ \phi_1q_2\tilde{q}_1$, $ X_1$, $ M_4^2$, $ M_4M_7$, $ M_7^2$, $ q_1\tilde{q}_1$, $ q_1\tilde{q}_2$, $ M_4M_5$, $ M_5M_7$, $ M_4\phi_1^2$, $ M_7\phi_1^2$, $ M_5^2$, $ M_5\phi_1^2$, $ \phi_1^4$, $ M_4q_1q_2$, $ M_7q_1q_2$, $ M_5q_1q_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$ | $M_1\phi_1^2$, $ M_4\phi_1q_2\tilde{q}_1$, $ M_7\phi_1q_2\tilde{q}_1$ | -1 | 2*t^2.21 + 2*t^2.53 + t^2.84 + t^3.47 + t^3.79 + t^4.11 + 3*t^4.42 + 4*t^4.74 + 5*t^5.05 + 4*t^5.37 - t^6. + 2*t^6.32 + 5*t^6.63 + 5*t^6.95 + 4*t^7.26 + 8*t^7.58 + 7*t^7.89 - 4*t^8.21 - 4*t^8.53 + 4*t^8.84 - t^4.26/y - t^6.47/y + t^7.42/y + (4*t^7.74)/y + (4*t^8.05)/y + (2*t^8.37)/y + t^8.68/y - t^4.26*y - t^6.47*y + t^7.42*y + 4*t^7.74*y + 4*t^8.05*y + 2*t^8.37*y + t^8.68*y | 2*t^2.21 + 2*t^2.53 + t^2.84 + t^3.47 + t^3.79 + t^4.11 + 3*t^4.42 + 4*t^4.74 + 5*t^5.05 + 4*t^5.37 - t^6. + 2*t^6.32 + 5*t^6.63 + 5*t^6.95 + 4*t^7.26 + 8*t^7.58 + 7*t^7.89 - 4*t^8.21 - 4*t^8.53 + 4*t^8.84 - t^4.26/y - t^6.47/y + t^7.42/y + (4*t^7.74)/y + (4*t^8.05)/y + (2*t^8.37)/y + t^8.68/y - t^4.26*y - t^6.47*y + t^7.42*y + 4*t^7.74*y + 4*t^8.05*y + 2*t^8.37*y + t^8.68*y |
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 |
|---|---|---|---|---|---|---|---|---|
| 5605 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_2M_5$ + $ M_6\phi_1q_2^2$ + $ M_4M_6$ + $ M_3X_1$ + $ M_6M_7$ + $ M_1M_5$ + $ M_8\phi_1q_2\tilde{q}_1$ | 0.5262 | 0.6808 | 0.7729 | [X:[1.3684], M:[1.1579, 1.1579, 0.6316, 0.7368, 0.8421, 1.2632, 0.7368, 0.7368], q:[0.7895, 0.1579], qb:[0.6842, 0.6842], phi:[0.4211]] | 3*t^2.21 + 2*t^2.53 + t^2.84 + t^3.47 + t^4.11 + 6*t^4.42 + 6*t^4.74 + 6*t^5.05 + 4*t^5.37 + t^5.68 - 3*t^6. - t^4.26/y - t^4.26*y | detail | {a: 57747/109744, c: 37357/54872, X1: 26/19, M1: 22/19, M2: 22/19, M3: 12/19, M4: 14/19, M5: 16/19, M6: 24/19, M7: 14/19, M8: 14/19, q1: 15/19, q2: 3/19, qb1: 13/19, qb2: 13/19, phi1: 8/19} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 1652 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_2M_5$ + $ M_6\phi_1q_2^2$ + $ M_4M_6$ + $ M_3X_1$ + $ M_6M_7$ | 0.5358 | 0.673 | 0.7962 | [X:[1.4155], M:[0.9223, 1.2207, 0.5845, 0.8311, 0.7793, 1.1689, 0.8311], q:[0.8052, 0.2207], qb:[0.857, 0.5585], phi:[0.3896]] | 2*t^2.34 + 2*t^2.49 + t^2.77 + t^3.08 + t^4.25 + t^4.4 + t^4.52 + 3*t^4.68 + 4*t^4.83 + 3*t^4.99 + t^5.1 + t^5.26 + 2*t^5.42 + t^5.53 + 2*t^5.57 - 3*t^6. - t^4.17/y - t^4.17*y | detail |