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 |
|---|---|---|---|---|---|---|---|---|---|
| 2250 | 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_1M_3$ + $ M_4\phi_1\tilde{q}_1^2$ + $ \phi_1q_2^2$ + $ M_5\phi_1\tilde{q}_2^2$ + $ M_2M_5$ + $ M_4X_1$ + $ M_5M_6$ | 0.5647 | 0.6996 | 0.8072 | [X:[1.3684], M:[0.7368, 0.9474, 1.2632, 0.6316, 1.0526, 0.9474], q:[0.7895, 0.7895], qb:[0.4737, 0.2632], phi:[0.4211]] | [X:[[0]], M:[[0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 61977/109744, c: 38389/54872, X1: 26/19, M1: 14/19, M2: 18/19, M3: 24/19, M4: 12/19, M5: 20/19, M6: 18/19, q1: 15/19, q2: 15/19, qb1: 9/19, qb2: 5/19, phi1: 8/19} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ \phi_1^2$, $ M_2$, $ M_6$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_3$, $ q_1\tilde{q}_1$, $ X_1$, $ M_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_1\phi_1^2$, $ q_1q_2$, $ M_1M_2$, $ M_1M_6$, $ \phi_1^4$, $ \phi_1q_2\tilde{q}_1$, $ M_2\phi_1^2$, $ M_6\phi_1^2$, $ M_1q_1\tilde{q}_2$, $ M_2^2$, $ M_2M_6$, $ M_6^2$ | $M_2q_1\tilde{q}_2$, $ M_6q_1\tilde{q}_2$, $ \phi_1^3\tilde{q}_1\tilde{q}_2$ | 2 | t^2.21 + t^2.53 + 2*t^2.84 + t^3.16 + t^3.47 + 2*t^3.79 + t^4.11 + t^4.42 + 2*t^4.74 + 3*t^5.05 + 2*t^5.37 + 3*t^5.68 + 2*t^6. + 3*t^6.32 + 3*t^6.63 + 2*t^6.95 + 3*t^7.26 + 5*t^7.58 + 4*t^7.89 + 2*t^8.21 + 3*t^8.53 + t^8.84 - t^4.26/y - t^6.79/y - t^7.11/y + t^7.42/y + (2*t^7.74)/y + (2*t^8.05)/y + (3*t^8.37)/y + (3*t^8.68)/y - t^4.26*y - t^6.79*y - t^7.11*y + t^7.42*y + 2*t^7.74*y + 2*t^8.05*y + 3*t^8.37*y + 3*t^8.68*y | t^2.21 + t^2.53 + 2*t^2.84 + t^3.16 + t^3.47 + 2*t^3.79 + t^4.11 + t^4.42 + 2*t^4.74 + 3*t^5.05 + 2*t^5.37 + 3*t^5.68 + 2*t^6. + 3*t^6.32 + 3*t^6.63 + 2*t^6.95 + 3*t^7.26 + 5*t^7.58 + 4*t^7.89 + 2*t^8.21 + 3*t^8.53 + t^8.84 - t^4.26/y - t^6.79/y - t^7.11/y + t^7.42/y + (2*t^7.74)/y + (2*t^8.05)/y + (3*t^8.37)/y + (3*t^8.68)/y - t^4.26*y - t^6.79*y - t^7.11*y + t^7.42*y + 2*t^7.74*y + 2*t^8.05*y + 3*t^8.37*y + 3*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 |
|---|---|---|---|---|---|---|---|---|
| 4251 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4\phi_1\tilde{q}_1^2$ + $ \phi_1q_2^2$ + $ M_5\phi_1\tilde{q}_2^2$ + $ M_2M_5$ + $ M_4X_1$ + $ M_5M_6$ + $ M_7\phi_1\tilde{q}_1\tilde{q}_2$ | 0.5784 | 0.7232 | 0.7999 | [X:[1.3684], M:[0.7368, 0.9474, 1.2632, 0.6316, 1.0526, 0.9474, 0.8421], q:[0.7895, 0.7895], qb:[0.4737, 0.2632], phi:[0.4211]] | t^2.21 + 2*t^2.53 + 2*t^2.84 + t^3.16 + 2*t^3.79 + t^4.11 + t^4.42 + 3*t^4.74 + 5*t^5.05 + 4*t^5.37 + 3*t^5.68 + t^6. - t^4.26/y - t^4.26*y | detail | {a: 7935/13718, c: 19841/27436, X1: 26/19, M1: 14/19, M2: 18/19, M3: 24/19, M4: 12/19, M5: 20/19, M6: 18/19, M7: 16/19, q1: 15/19, q2: 15/19, qb1: 9/19, qb2: 5/19, phi1: 8/19} |
| 4248 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4\phi_1\tilde{q}_1^2$ + $ \phi_1q_2^2$ + $ M_5\phi_1\tilde{q}_2^2$ + $ M_2M_5$ + $ M_4X_1$ + $ M_5M_6$ + $ M_7\phi_1^2$ | 0.551 | 0.676 | 0.8151 | [X:[1.3684], M:[0.7368, 0.9474, 1.2632, 0.6316, 1.0526, 0.9474, 1.1579], q:[0.7895, 0.7895], qb:[0.4737, 0.2632], phi:[0.4211]] | t^2.21 + 2*t^2.84 + t^3.16 + 2*t^3.47 + 2*t^3.79 + t^4.11 + t^4.42 + t^4.74 + 2*t^5.05 + 3*t^5.68 + t^6. - t^4.26/y - t^4.26*y | detail | {a: 30237/54872, c: 4637/6859, X1: 26/19, M1: 14/19, M2: 18/19, M3: 24/19, M4: 12/19, M5: 20/19, M6: 18/19, M7: 22/19, q1: 15/19, q2: 15/19, qb1: 9/19, qb2: 5/19, phi1: 8/19} |
| 4250 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4\phi_1\tilde{q}_1^2$ + $ \phi_1q_2^2$ + $ M_5\phi_1\tilde{q}_2^2$ + $ M_2M_5$ + $ M_4X_1$ + $ M_5M_6$ + $ M_7q_1\tilde{q}_2$ | 0.5696 | 0.7078 | 0.8048 | [X:[1.3684], M:[0.7368, 0.9474, 1.2632, 0.6316, 1.0526, 0.9474, 0.9474], q:[0.7895, 0.7895], qb:[0.4737, 0.2632], phi:[0.4211]] | t^2.21 + t^2.53 + 3*t^2.84 + t^3.47 + 2*t^3.79 + t^4.11 + t^4.42 + 2*t^4.74 + 4*t^5.05 + 2*t^5.37 + 5*t^5.68 - t^4.26/y - t^4.26*y | detail | {a: 31257/54872, c: 19419/27436, X1: 26/19, M1: 14/19, M2: 18/19, M3: 24/19, M4: 12/19, M5: 20/19, M6: 18/19, M7: 18/19, q1: 15/19, q2: 15/19, qb1: 9/19, qb2: 5/19, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 1220 | 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_1M_3$ + $ M_4\phi_1\tilde{q}_1^2$ + $ \phi_1q_2^2$ + $ M_5\phi_1\tilde{q}_2^2$ + $ M_2M_5$ + $ M_4X_1$ | 0.5598 | 0.6914 | 0.8097 | [X:[1.3684], M:[0.7368, 0.9474, 1.2632, 0.6316, 1.0526], q:[0.7895, 0.7895], qb:[0.4737, 0.2632], phi:[0.4211]] | t^2.21 + t^2.53 + t^2.84 + 2*t^3.16 + t^3.47 + 2*t^3.79 + t^4.11 + t^4.42 + 2*t^4.74 + 2*t^5.05 + 2*t^5.37 + 2*t^5.68 + 2*t^6. - t^4.26/y - t^4.26*y | detail | {a: 3840/6859, c: 9485/13718, X1: 26/19, M1: 14/19, M2: 18/19, M3: 24/19, M4: 12/19, M5: 20/19, q1: 15/19, q2: 15/19, qb1: 9/19, qb2: 5/19, phi1: 8/19} |