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 |
|---|---|---|---|---|---|---|---|---|---|
| 4101 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1q_2$ + $ M_1M_5$ + $ M_7\phi_1q_2^2$ + $ M_6M_7$ | 0.5706 | 0.712 | 0.8013 | [X:[], M:[1.2632, 1.1579, 0.9474, 0.7368, 0.7368, 0.9474, 1.0526], q:[0.7895, 0.2632], qb:[0.4737, 0.7895], phi:[0.4211]] | [X:[], M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 62619/109744, c: 39071/54872, M1: 24/19, M2: 22/19, M3: 18/19, M4: 14/19, M5: 14/19, M6: 18/19, M7: 20/19, q1: 15/19, q2: 5/19, qb1: 9/19, qb2: 15/19, phi1: 8/19} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_5$, $ M_3$, $ M_6$, $ M_7$, $ M_2$, $ \phi_1q_2\tilde{q}_1$, $ M_1$, $ \phi_1\tilde{q}_1^2$, $ M_4^2$, $ M_4M_5$, $ M_5^2$, $ \phi_1q_2\tilde{q}_2$, $ q_1\tilde{q}_2$, $ M_3M_4$, $ M_3M_5$, $ M_4M_6$, $ M_5M_6$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4M_7$, $ M_5M_7$, $ M_3^2$, $ M_2M_4$, $ M_2M_5$, $ M_3M_6$, $ M_6^2$, $ M_4\phi_1q_2\tilde{q}_1$, $ M_5\phi_1q_2\tilde{q}_1$ | $M_3M_7$, $ \phi_1\tilde{q}_2^2$ | 1 | 2*t^2.21 + 2*t^2.84 + t^3.16 + 2*t^3.47 + t^3.79 + t^4.11 + 3*t^4.42 + t^4.74 + 4*t^5.05 + t^5.37 + 5*t^5.68 + t^6. + 4*t^6.32 + 4*t^6.63 + 3*t^6.95 + 5*t^7.26 + 2*t^7.58 + 7*t^7.89 + 6*t^8.53 - t^4.26/y - t^6.47/y - t^7.11/y + (2*t^7.42)/y + (5*t^8.05)/y + (2*t^8.37)/y + (4*t^8.68)/y - t^4.26*y - t^6.47*y - t^7.11*y + 2*t^7.42*y + 5*t^8.05*y + 2*t^8.37*y + 4*t^8.68*y | 2*t^2.21 + 2*t^2.84 + t^3.16 + 2*t^3.47 + t^3.79 + t^4.11 + 3*t^4.42 + t^4.74 + 4*t^5.05 + t^5.37 + 5*t^5.68 + t^6. + 4*t^6.32 + 4*t^6.63 + 3*t^6.95 + 5*t^7.26 + 2*t^7.58 + 7*t^7.89 + 6*t^8.53 - t^4.26/y - t^6.47/y - t^7.11/y + (2*t^7.42)/y + (5*t^8.05)/y + (2*t^8.37)/y + (4*t^8.68)/y - t^4.26*y - t^6.47*y - t^7.11*y + 2*t^7.42*y + 5*t^8.05*y + 2*t^8.37*y + 4*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 |
|---|---|---|---|---|---|---|---|---|
| 5625 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1q_2$ + $ M_1M_5$ + $ M_7\phi_1q_2^2$ + $ M_6M_7$ + $ M_1M_8$ | 0.5901 | 0.748 | 0.7889 | [X:[], M:[1.2632, 1.1579, 0.9474, 0.7368, 0.7368, 0.9474, 1.0526, 0.7368], q:[0.7895, 0.2632], qb:[0.4737, 0.7895], phi:[0.4211]] | 3*t^2.21 + 2*t^2.84 + t^3.16 + 2*t^3.47 + t^4.11 + 6*t^4.42 + t^4.74 + 6*t^5.05 + 2*t^5.37 + 7*t^5.68 - t^6. - t^4.26/y - t^4.26*y | detail | {a: 16191/27436, c: 20523/27436, M1: 24/19, M2: 22/19, M3: 18/19, M4: 14/19, M5: 14/19, M6: 18/19, M7: 20/19, M8: 14/19, q1: 15/19, q2: 5/19, qb1: 9/19, qb2: 15/19, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 2118 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1q_2$ + $ M_1M_5$ + $ M_7\phi_1q_2^2$ | 0.6541 | 0.825 | 0.7928 | [X:[], M:[1.1748, 1.2168, 0.7412, 0.8252, 0.8252, 0.7412, 0.6992], q:[0.8042, 0.4546], qb:[0.3706, 0.8042], phi:[0.3916]] | t^2.1 + 2*t^2.22 + 2*t^2.48 + t^3.4 + t^3.52 + 2*t^3.65 + t^4.2 + 2*t^4.32 + 3*t^4.45 + 2*t^4.57 + 4*t^4.7 + t^4.83 + 3*t^4.95 + t^5.5 + 3*t^5.62 + 3*t^5.75 + 4*t^5.87 - t^6. - t^4.17/y - t^4.17*y | detail |