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 |
|---|---|---|---|---|---|---|---|---|---|
| 3410 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2\phi_1^2$ + $ \phi_1q_2^2$ + $ M_5\phi_1q_1^2$ + $ M_4q_2\tilde{q}_1$ | 0.6756 | 0.8512 | 0.7937 | [X:[], M:[0.8571, 1.0476, 1.1429, 0.7619, 0.7619], q:[0.381, 0.7619], qb:[0.4762, 0.4762], phi:[0.4762]] | [X:[], M:[[0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 227/336, c: 143/168, M1: 6/7, M2: 22/21, M3: 8/7, M4: 16/21, M5: 16/21, q1: 8/21, q2: 16/21, qb1: 10/21, qb2: 10/21, phi1: 10/21} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_5$, $ M_1$, $ q_1\tilde{q}_2$, $ \phi_1^2$, $ M_2$, $ M_3$, $ q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_4^2$, $ M_4M_5$, $ M_5^2$, $ M_1M_4$, $ M_1M_5$, $ \phi_1q_1q_2$, $ M_4q_1\tilde{q}_2$, $ M_5q_1\tilde{q}_2$, $ M_1^2$, $ M_4\phi_1^2$, $ M_5\phi_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ q_1^2\tilde{q}_2^2$, $ M_2M_4$, $ M_2M_5$, $ M_1\phi_1^2$, $ \phi_1^2q_1\tilde{q}_2$, $ M_1M_2$, $ M_3M_4$, $ M_3M_5$, $ \phi_1^4$ | $M_5q_2\tilde{q}_1$, $ M_3q_1\tilde{q}_2$ | 0 | 2*t^2.29 + 2*t^2.57 + t^2.86 + t^3.14 + t^3.43 + t^3.71 + 2*t^4. + 3*t^4.29 + 3*t^4.57 + 4*t^4.86 + 5*t^5.14 + 4*t^5.43 + 3*t^5.71 + 4*t^6.29 + 9*t^6.57 + 9*t^6.86 + 7*t^7.14 + 6*t^7.43 + 10*t^7.71 + 8*t^8. + 2*t^8.29 + 5*t^8.57 + 8*t^8.86 - t^4.43/y - (2*t^6.71)/y + t^7.57/y + (4*t^7.86)/y + (5*t^8.14)/y + (4*t^8.43)/y + (4*t^8.71)/y - t^4.43*y - 2*t^6.71*y + t^7.57*y + 4*t^7.86*y + 5*t^8.14*y + 4*t^8.43*y + 4*t^8.71*y | 2*t^2.29 + 2*t^2.57 + t^2.86 + t^3.14 + t^3.43 + t^3.71 + 2*t^4. + 3*t^4.29 + 3*t^4.57 + 4*t^4.86 + 5*t^5.14 + 4*t^5.43 + 3*t^5.71 + 4*t^6.29 + 9*t^6.57 + 9*t^6.86 + 7*t^7.14 + 6*t^7.43 + 10*t^7.71 + 8*t^8. + 2*t^8.29 + 5*t^8.57 + 8*t^8.86 - t^4.43/y - (2*t^6.71)/y + t^7.57/y + (4*t^7.86)/y + (5*t^8.14)/y + (4*t^8.43)/y + (4*t^8.71)/y - t^4.43*y - 2*t^6.71*y + t^7.57*y + 4*t^7.86*y + 5*t^8.14*y + 4*t^8.43*y + 4*t^8.71*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 |
|---|---|---|---|---|---|---|---|---|
| 3895 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2\phi_1^2$ + $ \phi_1q_2^2$ + $ M_5\phi_1q_1^2$ + $ M_4q_2\tilde{q}_1$ + $ M_2M_6$ | 0.68 | 0.8586 | 0.792 | [X:[], M:[0.8571, 1.0476, 1.1429, 0.7619, 0.7619, 0.9524], q:[0.381, 0.7619], qb:[0.4762, 0.4762], phi:[0.4762]] | 2*t^2.29 + 2*t^2.57 + 2*t^2.86 + t^3.43 + t^3.71 + 2*t^4. + 3*t^4.29 + 3*t^4.57 + 4*t^4.86 + 7*t^5.14 + 4*t^5.43 + 3*t^5.71 - t^6. - t^4.43/y - t^4.43*y | detail | {a: 933/1372, c: 589/686, M1: 6/7, M2: 22/21, M3: 8/7, M4: 16/21, M5: 16/21, M6: 20/21, q1: 8/21, q2: 16/21, qb1: 10/21, qb2: 10/21, phi1: 10/21} |
| 3896 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2\phi_1^2$ + $ \phi_1q_2^2$ + $ M_5\phi_1q_1^2$ + $ M_4q_2\tilde{q}_1$ + $ M_6q_2\tilde{q}_1$ | 0.6941 | 0.8846 | 0.7847 | [X:[], M:[0.8571, 1.0476, 1.1429, 0.7619, 0.7619, 0.7619], q:[0.381, 0.7619], qb:[0.4762, 0.4762], phi:[0.4762]] | 3*t^2.29 + 2*t^2.57 + t^2.86 + t^3.14 + t^3.43 + 2*t^4. + 3*t^4.29 + 6*t^4.57 + 6*t^4.86 + 6*t^5.14 + 5*t^5.43 + 4*t^5.71 - 2*t^6. - t^4.43/y - t^4.43*y | detail | {a: 2857/4116, c: 3641/4116, M1: 6/7, M2: 22/21, M3: 8/7, M4: 16/21, M5: 16/21, M6: 16/21, q1: 8/21, q2: 16/21, qb1: 10/21, qb2: 10/21, phi1: 10/21} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 2850 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2\phi_1^2$ + $ \phi_1q_2^2$ + $ M_5\phi_1q_1^2$ | 0.6802 | 0.8591 | 0.7917 | [X:[], M:[0.8326, 1.0558, 1.1674, 0.721, 0.721], q:[0.4035, 0.764], qb:[0.4291, 0.5151], phi:[0.4721]] | 2*t^2.16 + t^2.5 + t^2.76 + t^2.83 + t^3.17 + t^3.5 + t^3.58 + t^3.91 + t^3.99 + t^4.17 + t^4.25 + 3*t^4.33 + t^4.51 + 2*t^4.66 + 2*t^4.92 + 3*t^5. + t^5.25 + 3*t^5.33 + t^5.51 + t^5.59 + 3*t^5.67 + t^5.74 - t^6. - t^4.42/y - t^4.42*y | detail |