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 |
|---|---|---|---|---|---|---|---|---|---|
| 1515 | 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_5q_2\tilde{q}_1$ + $ M_5\phi_1^2$ + $ M_6q_1\tilde{q}_2$ + $ M_5M_7$ + $ M_3M_7$ | 0.7184 | 0.8903 | 0.8069 | [X:[], M:[0.9561, 0.9328, 1.0555, 0.8334, 1.0555, 0.8334, 0.9445], q:[0.5219, 0.5219], qb:[0.4225, 0.6447], phi:[0.4722]] | [X:[], M:[[12, 4], [-8, -8], [-2, 2], [6, -6], [-2, 2], [6, -6], [2, -2]], q:[[-6, -2], [-6, -2]], qb:[[8, 0], [0, 8]], phi:[[1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_6$, $ M_2$, $ M_7$, $ \phi_1^2$, $ M_1$, $ M_3$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ M_4^2$, $ M_4M_6$, $ M_6^2$, $ \phi_1\tilde{q}_2^2$, $ M_2M_4$, $ M_2M_6$, $ M_4M_7$, $ M_6M_7$, $ M_4\phi_1^2$, $ M_6\phi_1^2$, $ M_1M_4$, $ M_1M_6$, $ M_2^2$, $ M_1M_2$, $ M_3M_4$, $ M_3M_6$, $ M_7^2$, $ M_7\phi_1^2$, $ \phi_1^4$, $ M_1^2$, $ M_2M_3$ | $M_3\phi_1^2$ | -4 | 2*t^2.5 + t^2.8 + 2*t^2.83 + t^2.87 + t^3.17 + t^3.95 + 2*t^4.25 + 3*t^4.55 + t^4.62 + 2*t^4.92 + 3*t^5. + t^5.28 + 2*t^5.3 + 3*t^5.33 + 2*t^5.37 + t^5.6 + 6*t^5.67 + t^5.74 + t^5.96 - 4*t^6. + t^6.04 - 2*t^6.3 - 2*t^6.37 + 2*t^6.45 - t^6.67 + 4*t^6.75 + 2*t^6.79 + t^6.82 + 6*t^7.05 + 3*t^7.08 + 2*t^7.12 + 3*t^7.35 + 4*t^7.38 + 3*t^7.42 + t^7.49 + 4*t^7.5 - t^7.75 + 2*t^7.79 + 3*t^7.8 + 4*t^7.83 + 3*t^7.87 + t^7.9 - 2*t^8.05 + 2*t^8.1 + t^8.15 + 9*t^8.17 + t^8.2 + 2*t^8.24 + t^8.39 - t^8.42 + 3*t^8.46 - 2*t^8.5 + 2*t^8.54 + t^8.57 + t^8.61 + t^8.76 - 5*t^8.8 - 6*t^8.83 - 5*t^8.87 + t^8.9 + 3*t^8.95 - t^4.42/y - (2*t^6.92)/y - t^7.21/y - t^7.29/y + t^7.55/y + t^7.62/y + (2*t^7.92)/y + t^8./y + (2*t^8.3)/y + (4*t^8.33)/y + (2*t^8.37)/y + (2*t^8.63)/y + (4*t^8.67)/y + (2*t^8.7)/y + t^8.96/y - t^4.42*y - 2*t^6.92*y - t^7.21*y - t^7.29*y + t^7.55*y + t^7.62*y + 2*t^7.92*y + t^8.*y + 2*t^8.3*y + 4*t^8.33*y + 2*t^8.37*y + 2*t^8.63*y + 4*t^8.67*y + 2*t^8.7*y + t^8.96*y | (2*g1^6*t^2.5)/g2^6 + t^2.8/(g1^8*g2^8) + (2*g1^2*t^2.83)/g2^2 + g1^12*g2^4*t^2.87 + (g2^2*t^3.17)/g1^2 + (g1^17*t^3.95)/g2 + (2*g1^3*t^4.25)/g2^3 + (3*t^4.55)/(g1^11*g2^5) + g1^9*g2^7*t^4.62 + (2*g2^5*t^4.92)/g1^5 + (3*g1^12*t^5.)/g2^12 + g1*g2^15*t^5.28 + (2*t^5.3)/(g1^2*g2^14) + (3*g1^8*t^5.33)/g2^8 + (2*g1^18*t^5.37)/g2^2 + t^5.6/(g1^16*g2^16) + (6*g1^4*t^5.67)/g2^4 + g1^24*g2^8*t^5.74 + t^5.96/(g1^10*g2^6) - 4*t^6. + g1^10*g2^6*t^6.04 - (2*t^6.3)/(g1^14*g2^2) - 2*g1^6*g2^10*t^6.37 + (2*g1^23*t^6.45)/g2^7 - (g2^8*t^6.67)/g1^8 + (4*g1^9*t^6.75)/g2^9 + (2*g1^19*t^6.79)/g2^3 + g1^29*g2^3*t^6.82 + (6*t^7.05)/(g1^5*g2^11) + (3*g1^5*t^7.08)/g2^5 + 2*g1^15*g2*t^7.12 + (3*t^7.35)/(g1^19*g2^13) + (4*t^7.38)/(g1^9*g2^7) + (3*g1*t^7.42)/g2 + g1^21*g2^11*t^7.49 + (4*g1^18*t^7.5)/g2^18 - (g2^3*t^7.75)/g1^3 + 2*g1^7*g2^9*t^7.79 + (3*g1^4*t^7.8)/g2^20 + (4*g1^14*t^7.83)/g2^14 + (3*g1^24*t^7.87)/g2^8 + (g1^34*t^7.9)/g2^2 - (2*g2*t^8.05)/g1^17 + (2*t^8.1)/(g1^10*g2^22) + g1^13*g2^19*t^8.15 + (9*g1^10*t^8.17)/g2^10 + (g1^20*t^8.2)/g2^4 + 2*g1^30*g2^2*t^8.24 + t^8.39/(g1^24*g2^24) - (g2^11*t^8.42)/g1^11 + (3*t^8.46)/(g1^4*g2^12) - (2*g1^6*t^8.5)/g2^6 + 2*g1^16*t^8.54 + g1^26*g2^6*t^8.57 + g1^36*g2^12*t^8.61 + t^8.76/(g1^18*g2^14) - (5*t^8.8)/(g1^8*g2^8) - (6*g1^2*t^8.83)/g2^2 - 5*g1^12*g2^4*t^8.87 + g1^22*g2^10*t^8.9 + (3*g1^29*t^8.95)/g2^13 - (g1*t^4.42)/(g2*y) - (2*g1^7*t^6.92)/(g2^7*y) - t^7.21/(g1^7*g2^9*y) - (g1^13*g2^3*t^7.29)/y + t^7.55/(g1^11*g2^5*y) + (g1^9*g2^7*t^7.62)/y + (2*g2^5*t^7.92)/(g1^5*y) + (g1^12*t^8.)/(g2^12*y) + (2*t^8.3)/(g1^2*g2^14*y) + (4*g1^8*t^8.33)/(g2^8*y) + (2*g1^18*t^8.37)/(g2^2*y) + (2*t^8.63)/(g1^6*g2^10*y) + (4*g1^4*t^8.67)/(g2^4*y) + (2*g1^14*g2^2*t^8.7)/y + t^8.96/(g1^10*g2^6*y) - (g1*t^4.42*y)/g2 - (2*g1^7*t^6.92*y)/g2^7 - (t^7.21*y)/(g1^7*g2^9) - g1^13*g2^3*t^7.29*y + (t^7.55*y)/(g1^11*g2^5) + g1^9*g2^7*t^7.62*y + (2*g2^5*t^7.92*y)/g1^5 + (g1^12*t^8.*y)/g2^12 + (2*t^8.3*y)/(g1^2*g2^14) + (4*g1^8*t^8.33*y)/g2^8 + (2*g1^18*t^8.37*y)/g2^2 + (2*t^8.63*y)/(g1^6*g2^10) + (4*g1^4*t^8.67*y)/g2^4 + 2*g1^14*g2^2*t^8.7*y + (t^8.96*y)/(g1^10*g2^6) |
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 |
|---|---|---|---|---|---|---|---|---|
| 2599 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5\phi_1^2$ + $ M_6q_1\tilde{q}_2$ + $ M_5M_7$ + $ M_3M_7$ + $ \phi_1\tilde{q}_2^2$ | 0.7034 | 0.8849 | 0.795 | [X:[], M:[1.0078, 0.8132, 1.0895, 0.7316, 1.0895, 0.7316, 0.9105], q:[0.4961, 0.4961], qb:[0.4144, 0.7724], phi:[0.4553]] | 2*t^2.19 + t^2.44 + 2*t^2.73 + t^3.02 + t^3.27 + t^3.85 + 2*t^4.1 + 3*t^4.34 + 3*t^4.39 + 2*t^4.63 + t^4.88 + 4*t^4.93 + 2*t^5.17 + 2*t^5.22 + 6*t^5.46 + t^5.71 - 3*t^6. - t^4.37/y - t^4.37*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 |
|---|---|---|---|---|---|---|---|---|---|
| 979 | 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_5q_2\tilde{q}_1$ + $ M_5\phi_1^2$ + $ M_6q_1\tilde{q}_2$ + $ M_5M_7$ | 0.7363 | 0.9181 | 0.802 | [X:[], M:[0.9094, 0.9094, 0.9094, 0.9094, 1.0906, 0.7282, 0.9094], q:[0.6359, 0.4547], qb:[0.4547, 0.6359], phi:[0.4547]] | t^2.18 + 6*t^2.73 + 3*t^4.09 + t^4.37 + 4*t^4.64 + 6*t^4.91 + 3*t^5.18 + 17*t^5.46 - 8*t^6. - t^4.36/y - t^4.36*y | detail |