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 |
|---|---|---|---|---|---|---|---|---|---|
| 283 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_1$ + $ M_5\phi_1\tilde{q}_1^2$ | 0.6689 | 0.8351 | 0.801 | [X:[], M:[0.6951, 1.3008, 0.7072, 0.6951, 0.6911], q:[0.8252, 0.8252], qb:[0.4797, 0.4716], phi:[0.3496]] | [X:[], M:[[1, -4, -1], [0, 2, 2], [0, 1, -5], [-1, -3, 0], [0, -5, 1]], q:[[-1, 1, 1], [1, 0, 0]], qb:[[0, 3, 0], [0, 0, 3]], phi:[[0, -1, -1]]] | 3 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_4$, $ M_1$, $ M_3$, $ \tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_2$, $ q_1\tilde{q}_2$, $ M_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_5^2$, $ M_1M_5$, $ M_4M_5$, $ M_4^2$, $ M_1^2$, $ M_1M_4$, $ M_3M_5$, $ M_1M_3$, $ M_3M_4$, $ M_3^2$, $ M_5\tilde{q}_1\tilde{q}_2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ q_1q_2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_5q_2\tilde{q}_2$, $ M_5q_1\tilde{q}_2$, $ M_1q_2\tilde{q}_2$, $ M_2M_5$, $ M_4q_2\tilde{q}_2$, $ M_5\phi_1\tilde{q}_1\tilde{q}_2$, $ M_4q_1\tilde{q}_2$, $ M_1M_2$, $ M_1\phi_1\tilde{q}_1\tilde{q}_2$, $ M_2M_4$, $ M_4\phi_1\tilde{q}_1\tilde{q}_2$ | . | -3 | t^2.07 + 2*t^2.09 + t^2.12 + t^2.85 + 2*t^3.89 + 2*t^3.9 + t^4.15 + 2*t^4.16 + 3*t^4.17 + t^4.2 + 2*t^4.21 + t^4.24 + t^4.93 + 2*t^4.94 + t^4.95 + t^4.98 + t^5.71 + 2*t^5.96 + 5*t^5.98 + 2*t^5.99 - 3*t^6. + t^6.02 + t^6.22 + 2*t^6.23 + 3*t^6.24 + 4*t^6.26 + t^6.27 + 2*t^6.28 + 3*t^6.29 + t^6.32 + 2*t^6.33 + t^6.37 + 2*t^6.74 + 2*t^6.76 + t^7. + 2*t^7.01 + 3*t^7.02 - t^7.05 + t^7.1 + 3*t^7.78 + 4*t^7.79 + t^7.8 - 2*t^7.82 + 2*t^8.04 + 5*t^8.05 + 6*t^8.06 - t^8.07 - 6*t^8.09 + t^8.1 - 3*t^8.12 + t^8.15 + t^8.29 + 2*t^8.31 + 3*t^8.32 + 4*t^8.33 + 6*t^8.34 + 2*t^8.35 + 3*t^8.37 + 4*t^8.38 + t^8.39 + 2*t^8.4 + 3*t^8.41 + t^8.44 + 2*t^8.45 + t^8.49 + t^8.56 + 2*t^8.82 + 4*t^8.83 + 2*t^8.84 - 3*t^8.85 - 2*t^8.87 - t^4.05/y - t^6.12/y - (2*t^6.13)/y - t^6.17/y + (2*t^7.16)/y + t^7.17/y + t^7.2/y + (2*t^7.21)/y + (2*t^7.93)/y + (2*t^7.94)/y + (2*t^7.96)/y + (2*t^7.98)/y - t^8.2/y - (2*t^8.21)/y - (3*t^8.22)/y - t^8.24/y - (2*t^8.26)/y - t^8.29/y + (2*t^8.96)/y + (6*t^8.98)/y + (4*t^8.99)/y - t^4.05*y - t^6.12*y - 2*t^6.13*y - t^6.17*y + 2*t^7.16*y + t^7.17*y + t^7.2*y + 2*t^7.21*y + 2*t^7.93*y + 2*t^7.94*y + 2*t^7.96*y + 2*t^7.98*y - t^8.2*y - 2*t^8.21*y - 3*t^8.22*y - t^8.24*y - 2*t^8.26*y - t^8.29*y + 2*t^8.96*y + 6*t^8.98*y + 4*t^8.99*y | (g3*t^2.07)/g2^5 + t^2.09/(g1*g2^3) + (g1*t^2.09)/(g2^4*g3) + (g2*t^2.12)/g3^5 + g2^3*g3^3*t^2.85 + g1*g3^3*t^3.89 + (g2*g3^4*t^3.89)/g1 + 2*g2^2*g3^2*t^3.9 + (g3^2*t^4.15)/g2^10 + (g1*t^4.16)/g2^9 + (g3*t^4.16)/(g1*g2^8) + t^4.17/(g1^2*g2^6) + (g1^2*t^4.17)/(g2^8*g3^2) + t^4.17/(g2^7*g3) + t^4.2/(g2^4*g3^4) + (g1*t^4.21)/(g2^3*g3^6) + t^4.21/(g1*g2^2*g3^5) + (g2^2*t^4.24)/g3^10 + (g3^4*t^4.93)/g2^2 + (g1*g3^2*t^4.94)/g2 + (g3^3*t^4.94)/g1 + g2*g3*t^4.95 + (g2^4*t^4.98)/g3^2 + g2^6*g3^6*t^5.71 + (g1*g3^4*t^5.96)/g2^5 + (g3^5*t^5.96)/(g1*g2^4) + (g1^2*g3^2*t^5.98)/g2^4 + (3*g3^3*t^5.98)/g2^3 + (g3^4*t^5.98)/(g1^2*g2^2) + (g1*g3*t^5.99)/g2^2 + (g3^2*t^5.99)/(g1*g2) - 3*t^6. + (g2^3*t^6.02)/g3^3 + (g3^3*t^6.22)/g2^15 + (g1*g3*t^6.23)/g2^14 + (g3^2*t^6.23)/(g1*g2^13) + t^6.24/g2^12 + (g1^2*t^6.24)/(g2^13*g3) + (g3*t^6.24)/(g1^2*g2^11) + t^6.26/(g1^3*g2^9) + (g1^3*t^6.26)/(g2^12*g3^3) + (g1*t^6.26)/(g2^11*g3^2) + t^6.26/(g1*g2^10*g3) + t^6.27/(g2^9*g3^3) + (g1*t^6.28)/(g2^8*g3^5) + t^6.28/(g1*g2^7*g3^4) + (g1^2*t^6.29)/(g2^7*g3^7) + t^6.29/(g2^6*g3^6) + t^6.29/(g1^2*g2^5*g3^5) + t^6.32/(g2^3*g3^9) + (g1*t^6.33)/(g2^2*g3^11) + t^6.33/(g1*g2*g3^10) + (g2^3*t^6.37)/g3^15 + g1*g2^3*g3^6*t^6.74 + (g2^4*g3^7*t^6.74)/g1 + 2*g2^5*g3^5*t^6.76 + (g3^5*t^7.)/g2^7 + (g1*g3^3*t^7.01)/g2^6 + (g3^4*t^7.01)/(g1*g2^5) + (g1^2*g3*t^7.02)/g2^5 + (g3^2*t^7.02)/g2^4 + (g3^3*t^7.02)/(g1^2*g2^3) - t^7.05/(g2*g3) + (g2^5*t^7.1)/g3^7 + g1^2*g3^6*t^7.78 + g2*g3^7*t^7.78 + (g2^2*g3^8*t^7.78)/g1^2 + 2*g1*g2^2*g3^5*t^7.79 + (2*g2^3*g3^6*t^7.79)/g1 + g2^4*g3^4*t^7.8 - g1*g2^5*g3^2*t^7.82 - (g2^6*g3^3*t^7.82)/g1 + (g1*g3^5*t^8.04)/g2^10 + (g3^6*t^8.04)/(g1*g2^9) + (g1^2*g3^3*t^8.05)/g2^9 + (3*g3^4*t^8.05)/g2^8 + (g3^5*t^8.05)/(g1^2*g2^7) + (g1^3*g3*t^8.06)/g2^8 + (2*g1*g3^2*t^8.06)/g2^7 + (2*g3^3*t^8.06)/(g1*g2^6) + (g3^4*t^8.06)/(g1^3*g2^5) + (g1^2*t^8.07)/g2^6 - (3*g3*t^8.07)/g2^5 + (g3^2*t^8.07)/(g1^2*g2^4) - (3*t^8.09)/(g1*g2^3) - (3*g1*t^8.09)/(g2^4*g3) + t^8.1/(g2^2*g3^2) - (3*g2*t^8.12)/g3^5 + (g2^4*t^8.15)/g3^8 + (g3^4*t^8.29)/g2^20 + (g1*g3^2*t^8.31)/g2^19 + (g3^3*t^8.31)/(g1*g2^18) + (g1^2*t^8.32)/g2^18 + (g3*t^8.32)/g2^17 + (g3^2*t^8.32)/(g1^2*g2^16) + t^8.33/(g1*g2^15) + (g1^3*t^8.33)/(g2^17*g3^2) + (g1*t^8.33)/(g2^16*g3) + (g3*t^8.33)/(g1^3*g2^14) + t^8.34/(g1^4*g2^12) + (g1^4*t^8.34)/(g2^16*g3^4) + (g1^2*t^8.34)/(g2^15*g3^3) + (2*t^8.34)/(g2^14*g3^2) + t^8.34/(g1^2*g2^13*g3) + (g1*t^8.35)/(g2^13*g3^4) + t^8.35/(g1*g2^12*g3^3) + (g1^2*t^8.37)/(g2^12*g3^6) + t^8.37/(g2^11*g3^5) + t^8.37/(g1^2*g2^10*g3^4) + (g1^3*t^8.38)/(g2^11*g3^8) + (g1*t^8.38)/(g2^10*g3^7) + t^8.38/(g1*g2^9*g3^6) + t^8.38/(g1^3*g2^8*g3^5) + t^8.39/(g2^8*g3^8) + (g1*t^8.4)/(g2^7*g3^10) + t^8.4/(g1*g2^6*g3^9) + (g1^2*t^8.41)/(g2^6*g3^12) + t^8.41/(g2^5*g3^11) + t^8.41/(g1^2*g2^4*g3^10) + t^8.44/(g2^2*g3^14) + (g1*t^8.45)/(g2*g3^16) + t^8.45/(g1*g3^15) + (g2^4*t^8.49)/g3^20 + g2^9*g3^9*t^8.56 + (g1*g3^7*t^8.82)/g2^2 + (g3^8*t^8.82)/(g1*g2) + (g1^2*g3^5*t^8.83)/g2 + 2*g3^6*t^8.83 + (g2*g3^7*t^8.83)/g1^2 + g1*g2*g3^4*t^8.84 + (g2^2*g3^5*t^8.84)/g1 - 3*g2^3*g3^3*t^8.85 - g1*g2^4*g3*t^8.87 - (g2^5*g3^2*t^8.87)/g1 - t^4.05/(g2*g3*y) - t^6.12/(g2^6*y) - (g1*t^6.13)/(g2^5*g3^2*y) - t^6.13/(g1*g2^4*g3*y) - t^6.17/(g3^6*y) + (g1*t^7.16)/(g2^9*y) + (g3*t^7.16)/(g1*g2^8*y) + t^7.17/(g2^7*g3*y) + t^7.2/(g2^4*g3^4*y) + (g1*t^7.21)/(g2^3*g3^6*y) + t^7.21/(g1*g2^2*g3^5*y) + (2*g3^4*t^7.93)/(g2^2*y) + (g1*g3^2*t^7.94)/(g2*y) + (g3^3*t^7.94)/(g1*y) + (g2^3*t^7.96)/(g1*y) + (g1*g2^2*t^7.96)/(g3*y) + (2*g2^4*t^7.98)/(g3^2*y) - (g3*t^8.2)/(g2^11*y) - t^8.21/(g1*g2^9*y) - (g1*t^8.21)/(g2^10*g3*y) - (g1^2*t^8.22)/(g2^9*g3^3*y) - t^8.22/(g2^8*g3^2*y) - t^8.22/(g1^2*g2^7*g3*y) - t^8.24/(g2^5*g3^5*y) - (g1*t^8.26)/(g2^4*g3^7*y) - t^8.26/(g1*g2^3*g3^6*y) - (g2*t^8.29)/(g3^11*y) + (g1*g3^4*t^8.96)/(g2^5*y) + (g3^5*t^8.96)/(g1*g2^4*y) + (g1^2*g3^2*t^8.98)/(g2^4*y) + (4*g3^3*t^8.98)/(g2^3*y) + (g3^4*t^8.98)/(g1^2*g2^2*y) + (2*g1*g3*t^8.99)/(g2^2*y) + (2*g3^2*t^8.99)/(g1*g2*y) - (t^4.05*y)/(g2*g3) - (t^6.12*y)/g2^6 - (g1*t^6.13*y)/(g2^5*g3^2) - (t^6.13*y)/(g1*g2^4*g3) - (t^6.17*y)/g3^6 + (g1*t^7.16*y)/g2^9 + (g3*t^7.16*y)/(g1*g2^8) + (t^7.17*y)/(g2^7*g3) + (t^7.2*y)/(g2^4*g3^4) + (g1*t^7.21*y)/(g2^3*g3^6) + (t^7.21*y)/(g1*g2^2*g3^5) + (2*g3^4*t^7.93*y)/g2^2 + (g1*g3^2*t^7.94*y)/g2 + (g3^3*t^7.94*y)/g1 + (g2^3*t^7.96*y)/g1 + (g1*g2^2*t^7.96*y)/g3 + (2*g2^4*t^7.98*y)/g3^2 - (g3*t^8.2*y)/g2^11 - (t^8.21*y)/(g1*g2^9) - (g1*t^8.21*y)/(g2^10*g3) - (g1^2*t^8.22*y)/(g2^9*g3^3) - (t^8.22*y)/(g2^8*g3^2) - (t^8.22*y)/(g1^2*g2^7*g3) - (t^8.24*y)/(g2^5*g3^5) - (g1*t^8.26*y)/(g2^4*g3^7) - (t^8.26*y)/(g1*g2^3*g3^6) - (g2*t^8.29*y)/g3^11 + (g1*g3^4*t^8.96*y)/g2^5 + (g3^5*t^8.96*y)/(g1*g2^4) + (g1^2*g3^2*t^8.98*y)/g2^4 + (4*g3^3*t^8.98*y)/g2^3 + (g3^4*t^8.98*y)/(g1^2*g2^2) + (2*g1*g3*t^8.99*y)/g2^2 + (2*g3^2*t^8.99*y)/(g1*g2) |
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 |
|---|---|---|---|---|---|---|---|---|
| 457 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_1$ + $ M_5\phi_1\tilde{q}_1^2$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6689 | 0.835 | 0.8011 | [X:[], M:[0.699, 1.301, 0.7054, 0.6926, 0.6926], q:[0.8221, 0.8284], qb:[0.479, 0.4726], phi:[0.3495]] | 2*t^2.08 + t^2.1 + t^2.12 + t^2.85 + t^3.88 + 3*t^3.9 + 3*t^4.16 + 2*t^4.17 + 3*t^4.19 + t^4.21 + t^4.23 + 2*t^4.93 + 2*t^4.95 + t^4.97 + t^5.71 + 2*t^5.96 + 5*t^5.98 - t^6. - t^4.05/y - t^4.05*y | detail | |
| 458 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_1$ + $ M_5\phi_1\tilde{q}_1^2$ + $ M_3M_6$ | 0.6489 | 0.7994 | 0.8117 | [X:[], M:[0.6959, 1.2905, 0.7366, 0.6959, 0.6824, 1.2634], q:[0.8226, 0.8226], qb:[0.4814, 0.4543], phi:[0.3548]] | t^2.05 + 2*t^2.09 + t^2.81 + t^3.79 + 2*t^3.83 + 2*t^3.87 + t^4.09 + 2*t^4.13 + 3*t^4.18 + t^4.85 + 2*t^4.9 + t^4.94 + t^5.61 + t^5.84 + 4*t^5.88 + 5*t^5.92 + 2*t^5.96 - 3*t^6. - t^4.06/y - t^4.06*y | detail | |
| 456 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_1$ + $ M_5\phi_1\tilde{q}_1^2$ + $ M_5^2$ + $ M_3X_1$ | 0.5801 | 0.7001 | 0.8285 | [X:[1.4633], M:[0.8842, 1.2317, 0.5367, 0.8842, 1.0], q:[0.8079, 0.8079], qb:[0.3079, 0.5396], phi:[0.3842]] | t^2.54 + 2*t^2.65 + t^3. + 2*t^3.69 + 2*t^4.04 + t^4.39 + t^4.85 + t^5.08 + 2*t^5.19 + 2*t^5.31 + t^5.54 - 2*t^6. - t^4.15/y - t^4.15*y | detail | |
| 1764 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_1$ + $ M_5\phi_1\tilde{q}_1^2$ + $ M_6q_2\tilde{q}_2$ | 0.6895 | 0.8748 | 0.7882 | [X:[], M:[0.6997, 1.3043, 0.6997, 0.6875, 0.6916, 0.6916], q:[0.82, 0.8322], qb:[0.4803, 0.4762], phi:[0.3478]] | t^2.06 + 2*t^2.07 + 2*t^2.1 + t^2.87 + t^3.89 + 2*t^3.91 + t^4.13 + 2*t^4.14 + 3*t^4.15 + 2*t^4.16 + 4*t^4.17 + 3*t^4.2 + t^4.93 + 2*t^4.94 + t^4.96 + 2*t^4.97 + t^5.74 + t^5.95 + 2*t^5.96 + t^5.98 + 4*t^5.99 - 3*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 |
|---|---|---|---|---|---|---|---|---|---|
| 180 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_1$ | 0.6484 | 0.7953 | 0.8152 | [X:[], M:[0.7026, 1.2974, 0.7026, 0.7026], q:[0.8244, 0.8244], qb:[0.4731, 0.4731], phi:[0.3513]] | 3*t^2.11 + t^2.84 + 5*t^3.89 + 6*t^4.22 + 4*t^4.95 + t^5.68 + 6*t^6. - t^4.05/y - t^4.05*y | detail |