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 |
|---|---|---|---|---|---|---|---|---|---|
| 46485 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_2\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4\phi_1q_1^2$ + $ M_5\phi_1q_1\tilde{q}_2$ | 0.7101 | 0.9148 | 0.7763 | [X:[], M:[0.6976, 0.6874, 0.6874, 0.6925, 0.6925], q:[0.4806, 0.8218], qb:[0.832, 0.4806], phi:[0.3463]] | [X:[], M:[[1, -5], [-1, -3], [-1, -3], [0, -4], [0, -4]], q:[[0, 3], [-1, 2]], qb:[[1, 0], [0, 3]], phi:[[0, -2]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_3$, $ M_4$, $ M_5$, $ \phi_1^2$, $ M_1$, $ q_1\tilde{q}_2$, $ q_2\tilde{q}_2$, $ \phi_1q_1^2$, $ M_2^2$, $ M_2M_3$, $ M_3^2$, $ M_2M_4$, $ M_3M_4$, $ M_2M_5$, $ M_3M_5$, $ M_2\phi_1^2$, $ M_3\phi_1^2$, $ M_1M_2$, $ M_1M_3$, $ M_4^2$, $ M_4M_5$, $ M_5^2$, $ M_4\phi_1^2$, $ M_5\phi_1^2$, $ \phi_1^4$, $ M_1M_4$, $ M_1M_5$, $ M_1\phi_1^2$, $ M_1^2$, $ \phi_1q_1q_2$, $ M_3q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ q_2\tilde{q}_1$, $ M_4q_1\tilde{q}_2$, $ M_5q_1\tilde{q}_2$, $ \phi_1^2q_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_1^2\tilde{q}_2^2$, $ \phi_1q_2^2$, $ M_2q_2\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ M_3\phi_1q_1^2$, $ M_4q_2\tilde{q}_2$, $ M_5q_2\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$ | $M_5\phi_1q_1^2$, $ \phi_1^3q_1^2$ | -1 | 2*t^2.06 + 3*t^2.08 + t^2.09 + t^2.88 + t^3.91 + t^3.92 + 3*t^4.12 + 6*t^4.14 + 8*t^4.16 + 3*t^4.17 + t^4.19 + 2*t^4.95 + 4*t^4.96 + t^4.98 + t^5.77 + 2*t^5.97 + 3*t^5.98 - t^6. - t^6.02 + 4*t^6.19 + 9*t^6.2 + 15*t^6.22 + 16*t^6.23 + 8*t^6.25 + 3*t^6.26 + t^6.28 + t^6.79 + t^6.81 + 3*t^7.01 + 6*t^7.02 + 7*t^7.04 + 2*t^7.05 + t^7.07 + t^7.81 + t^7.83 - t^7.86 + 3*t^8.03 + 5*t^8.05 - 2*t^8.06 - 9*t^8.08 - 7*t^8.09 - t^8.11 + 5*t^8.25 + 12*t^8.26 + 22*t^8.28 + 29*t^8.29 + 30*t^8.31 + 16*t^8.33 + 8*t^8.34 + 3*t^8.36 + t^8.37 + t^8.65 + 2*t^8.85 + 2*t^8.87 - 4*t^8.88 - 3*t^8.9 - t^4.04/y - (2*t^6.1)/y - (3*t^6.12)/y - t^6.13/y + t^7.12/y + (6*t^7.14)/y + (5*t^7.16)/y + (3*t^7.17)/y + (3*t^7.95)/y + (6*t^7.96)/y + (3*t^7.98)/y - (3*t^8.16)/y - (6*t^8.18)/y - (8*t^8.19)/y - (3*t^8.21)/y - t^8.22/y + (2*t^8.97)/y + (5*t^8.98)/y - t^4.04*y - 2*t^6.1*y - 3*t^6.12*y - t^6.13*y + t^7.12*y + 6*t^7.14*y + 5*t^7.16*y + 3*t^7.17*y + 3*t^7.95*y + 6*t^7.96*y + 3*t^7.98*y - 3*t^8.16*y - 6*t^8.18*y - 8*t^8.19*y - 3*t^8.21*y - t^8.22*y + 2*t^8.97*y + 5*t^8.98*y | (2*t^2.06)/(g1*g2^3) + (3*t^2.08)/g2^4 + (g1*t^2.09)/g2^5 + g2^6*t^2.88 + (g2^5*t^3.91)/g1 + g2^4*t^3.92 + (3*t^4.12)/(g1^2*g2^6) + (6*t^4.14)/(g1*g2^7) + (8*t^4.16)/g2^8 + (3*g1*t^4.17)/g2^9 + (g1^2*t^4.19)/g2^10 + (2*g2^3*t^4.95)/g1 + 4*g2^2*t^4.96 + g1*g2*t^4.98 + g2^12*t^5.77 + (2*g2^2*t^5.97)/g1^2 + (3*g2*t^5.98)/g1 - t^6. - (g1*t^6.02)/g2 + (4*t^6.19)/(g1^3*g2^9) + (9*t^6.2)/(g1^2*g2^10) + (15*t^6.22)/(g1*g2^11) + (16*t^6.23)/g2^12 + (8*g1*t^6.25)/g2^13 + (3*g1^2*t^6.26)/g2^14 + (g1^3*t^6.28)/g2^15 + (g2^11*t^6.79)/g1 + g2^10*t^6.81 + (3*t^7.01)/g1^2 + (6*t^7.02)/(g1*g2) + (7*t^7.04)/g2^2 + (2*g1*t^7.05)/g2^3 + (g1^2*t^7.07)/g2^4 + (g2^10*t^7.81)/g1^2 + (g2^9*t^7.83)/g1 - g1*g2^7*t^7.86 + (3*t^8.03)/(g1^3*g2) + (5*t^8.05)/(g1^2*g2^2) - (2*t^8.06)/(g1*g2^3) - (9*t^8.08)/g2^4 - (7*g1*t^8.09)/g2^5 - (g1^2*t^8.11)/g2^6 + (5*t^8.25)/(g1^4*g2^12) + (12*t^8.26)/(g1^3*g2^13) + (22*t^8.28)/(g1^2*g2^14) + (29*t^8.29)/(g1*g2^15) + (30*t^8.31)/g2^16 + (16*g1*t^8.33)/g2^17 + (8*g1^2*t^8.34)/g2^18 + (3*g1^3*t^8.36)/g2^19 + (g1^4*t^8.37)/g2^20 + g2^18*t^8.65 + (2*g2^8*t^8.85)/g1^2 + (2*g2^7*t^8.87)/g1 - 4*g2^6*t^8.88 - 3*g1*g2^5*t^8.9 - t^4.04/(g2^2*y) - (2*t^6.1)/(g1*g2^5*y) - (3*t^6.12)/(g2^6*y) - (g1*t^6.13)/(g2^7*y) + t^7.12/(g1^2*g2^6*y) + (6*t^7.14)/(g1*g2^7*y) + (5*t^7.16)/(g2^8*y) + (3*g1*t^7.17)/(g2^9*y) + (3*g2^3*t^7.95)/(g1*y) + (6*g2^2*t^7.96)/y + (3*g1*g2*t^7.98)/y - (3*t^8.16)/(g1^2*g2^8*y) - (6*t^8.18)/(g1*g2^9*y) - (8*t^8.19)/(g2^10*y) - (3*g1*t^8.21)/(g2^11*y) - (g1^2*t^8.22)/(g2^12*y) + (2*g2^2*t^8.97)/(g1^2*y) + (5*g2*t^8.98)/(g1*y) - (t^4.04*y)/g2^2 - (2*t^6.1*y)/(g1*g2^5) - (3*t^6.12*y)/g2^6 - (g1*t^6.13*y)/g2^7 + (t^7.12*y)/(g1^2*g2^6) + (6*t^7.14*y)/(g1*g2^7) + (5*t^7.16*y)/g2^8 + (3*g1*t^7.17*y)/g2^9 + (3*g2^3*t^7.95*y)/g1 + 6*g2^2*t^7.96*y + 3*g1*g2*t^7.98*y - (3*t^8.16*y)/(g1^2*g2^8) - (6*t^8.18*y)/(g1*g2^9) - (8*t^8.19*y)/g2^10 - (3*g1*t^8.21*y)/g2^11 - (g1^2*t^8.22*y)/g2^12 + (2*g2^2*t^8.97*y)/g1^2 + (5*g2*t^8.98*y)/g1 |
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 |
|---|---|---|---|---|---|---|---|---|
| 47221 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_2\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4\phi_1q_1^2$ + $ M_5\phi_1q_1\tilde{q}_2$ + $ M_6\phi_1q_1^2$ | 0.7308 | 0.9551 | 0.7651 | [X:[], M:[0.6948, 0.6855, 0.6855, 0.6901, 0.6901, 0.6901], q:[0.4824, 0.8228], qb:[0.8321, 0.4824], phi:[0.3451]] | 2*t^2.06 + 4*t^2.07 + t^2.08 + t^2.89 + t^3.92 + 3*t^4.11 + 8*t^4.13 + 12*t^4.14 + 4*t^4.15 + t^4.17 + 2*t^4.95 + 5*t^4.96 + t^4.98 + t^5.79 + 2*t^5.97 + 2*t^5.99 - 4*t^6. - t^4.04/y - t^4.04*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46138 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_2\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4\phi_1q_1^2$ | 0.6895 | 0.8747 | 0.7883 | [X:[], M:[0.7011, 0.6897, 0.6897, 0.6954], q:[0.4785, 0.8205], qb:[0.8318, 0.4785], phi:[0.3477]] | 2*t^2.07 + 2*t^2.09 + t^2.1 + t^2.87 + t^3.9 + 2*t^3.91 + 3*t^4.14 + 4*t^4.16 + 5*t^4.17 + 2*t^4.19 + t^4.21 + 2*t^4.94 + 3*t^4.96 + t^4.97 + t^5.74 + 2*t^5.97 + 4*t^5.98 - t^4.04/y - t^4.04*y | detail |