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 |
|---|---|---|---|---|---|---|---|---|---|
| 2350 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_6^2$ + $ M_3M_4$ + $ M_7q_1\tilde{q}_2$ + $ M_3M_8$ | 0.7274 | 0.8989 | 0.8092 | [X:[], M:[0.7993, 1.0866, 1.0276, 0.9724, 0.8544, 1.0, 0.8268, 0.9724], q:[0.6142, 0.5866], qb:[0.4134, 0.559], phi:[0.4567]] | [X:[], M:[[6, 1], [-2, 0], [-2, -1], [2, 1], [2, -1], [0, 0], [4, 0], [2, 1]], q:[[-4, -1], [-2, 0]], qb:[[2, 0], [0, 1]], phi:[[1, 0]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ M_7$, $ M_5$, $ M_4$, $ M_8$, $ M_6$, $ M_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ M_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_1M_7$, $ \phi_1q_2^2$, $ \phi_1q_1\tilde{q}_2$, $ M_1M_5$, $ M_7^2$, $ \phi_1q_1q_2$, $ M_5M_7$, $ \phi_1q_1^2$, $ M_5^2$, $ M_1M_4$, $ M_1M_8$, $ M_1M_6$, $ M_4M_7$, $ M_7M_8$, $ M_4M_5$, $ M_6M_7$, $ M_5M_8$, $ M_1M_2$, $ M_2M_7$, $ M_2M_5$, $ M_4^2$, $ M_4M_8$, $ M_8^2$ | . | -3 | t^2.4 + t^2.48 + t^2.56 + 2*t^2.92 + t^3. + t^3.26 + t^3.85 + t^4.29 + t^4.37 + t^4.45 + t^4.72 + t^4.8 + t^4.81 + t^4.88 + 2*t^4.89 + 2*t^4.96 + t^4.97 + t^5.04 + t^5.06 + t^5.13 + 2*t^5.32 + 2*t^5.4 + 2*t^5.48 + t^5.66 + t^5.74 + t^5.82 + 2*t^5.83 - 3*t^6. - 2*t^6.08 - t^6.17 + 2*t^6.18 + t^6.25 + t^6.26 + t^6.33 + t^6.41 - t^6.44 - t^6.52 - t^6.6 + t^6.69 + 3*t^6.77 + 3*t^6.85 + t^6.93 + t^7.02 + t^7.12 + t^7.19 + 3*t^7.2 + t^7.28 + 4*t^7.29 + 2*t^7.36 + 3*t^7.37 + 2*t^7.44 + 2*t^7.45 + 2*t^7.52 + t^7.54 + t^7.61 + t^7.62 + 2*t^7.64 + t^7.69 + t^7.7 + 2*t^7.71 + 2*t^7.72 + 2*t^7.8 + 2*t^7.81 + 3*t^7.88 + t^7.96 + t^8.04 + t^8.06 + 2*t^8.14 + 3*t^8.22 + 2*t^8.23 + 2*t^8.3 + t^8.32 - t^8.33 + t^8.39 - 3*t^8.4 - t^8.41 - 6*t^8.48 - t^8.49 - 6*t^8.56 + 3*t^8.57 - t^8.65 + 3*t^8.66 + 4*t^8.74 + 2*t^8.75 + 2*t^8.81 + t^8.82 - 2*t^8.83 + t^8.89 + t^8.91 - 8*t^8.92 + t^8.98 - t^4.37/y - t^6.77/y - t^6.85/y - t^6.93/y - t^7.29/y + t^7.45/y + t^7.81/y + t^7.88/y + t^7.89/y + t^7.96/y + t^7.97/y + t^8.04/y + (2*t^8.32)/y + (3*t^8.4)/y + (3*t^8.48)/y + t^8.56/y + t^8.66/y + t^8.74/y + t^8.82/y + t^8.83/y + (2*t^8.92)/y - t^4.37*y - t^6.77*y - t^6.85*y - t^6.93*y - t^7.29*y + t^7.45*y + t^7.81*y + t^7.88*y + t^7.89*y + t^7.96*y + t^7.97*y + t^8.04*y + 2*t^8.32*y + 3*t^8.4*y + 3*t^8.48*y + t^8.56*y + t^8.66*y + t^8.74*y + t^8.82*y + t^8.83*y + 2*t^8.92*y | g1^6*g2*t^2.4 + g1^4*t^2.48 + (g1^2*t^2.56)/g2 + 2*g1^2*g2*t^2.92 + t^3. + t^3.26/g1^2 + g1^5*t^3.85 + g1^3*g2*t^4.29 + g1*t^4.37 + t^4.45/(g1*g2) + g1*g2^2*t^4.72 + g1^12*g2^2*t^4.8 + (g2*t^4.81)/g1 + g1^10*g2*t^4.88 + (2*t^4.89)/g1^3 + 2*g1^8*t^4.96 + t^4.97/(g1^5*g2) + (g1^6*t^5.04)/g2 + t^5.06/(g1^7*g2^2) + (g1^4*t^5.13)/g2^2 + 2*g1^8*g2^2*t^5.32 + 2*g1^6*g2*t^5.4 + 2*g1^4*t^5.48 + g1^4*g2*t^5.66 + g1^2*t^5.74 + t^5.82/g2 + 2*g1^4*g2^2*t^5.83 - 3*t^6. - (2*t^6.08)/(g1^2*g2) - t^6.17/(g1^4*g2^2) + 2*g2*t^6.18 + g1^11*g2*t^6.25 + t^6.26/g1^2 + g1^9*t^6.33 + (g1^7*t^6.41)/g2 - (g2*t^6.44)/g1^2 - t^6.52/g1^4 - t^6.6/(g1^6*g2) + g1^9*g2^2*t^6.69 + 3*g1^7*g2*t^6.77 + 3*g1^5*t^6.85 + (g1^3*t^6.93)/g2 + (g1*t^7.02)/g2^2 + g1^7*g2^3*t^7.12 + g1^18*g2^3*t^7.19 + 3*g1^5*g2^2*t^7.2 + g1^16*g2^2*t^7.28 + 4*g1^3*g2*t^7.29 + 2*g1^14*g2*t^7.36 + 3*g1*t^7.37 + 2*g1^12*t^7.44 + (2*t^7.45)/(g1*g2) + (2*g1^10*t^7.52)/g2 + t^7.54/(g1^3*g2^2) + (g1^8*t^7.61)/g2^2 + t^7.62/(g1^5*g2^3) + 2*g1^3*g2^3*t^7.64 + (g1^6*t^7.69)/g2^3 + g1^10*t^7.7 + 2*g1^14*g2^3*t^7.71 + 2*g1*g2^2*t^7.72 + 2*g1^12*g2^2*t^7.8 + (2*g2*t^7.81)/g1 + 3*g1^10*g2*t^7.88 + g1^8*t^7.96 + (g1^6*t^8.04)/g2 + g1^10*g2^2*t^8.06 + 2*g1^8*g2*t^8.14 + 3*g1^6*t^8.22 + 2*g1^10*g2^3*t^8.23 + (2*g1^4*t^8.3)/g2 + g1^8*g2^2*t^8.32 - (g2*t^8.33)/g1^5 + (g1^2*t^8.39)/g2^2 - 3*g1^6*g2*t^8.4 - t^8.41/g1^7 - 6*g1^4*t^8.48 - t^8.49/(g1^9*g2) - (6*g1^2*t^8.56)/g2 + 3*g1^6*g2^2*t^8.57 - (2*t^8.65)/g2^2 + g1^17*g2^2*t^8.65 + 3*g1^4*g2*t^8.66 - t^8.73/(g1^2*g2^3) + g1^15*g2*t^8.73 + 4*g1^2*t^8.74 + 2*g1^6*g2^3*t^8.75 + 2*g1^13*t^8.81 + t^8.82/g2 - 2*g1^4*g2^2*t^8.83 + (g1^11*t^8.89)/g2 + t^8.91/(g1^2*g2^2) - 8*g1^2*g2*t^8.92 + (g1^9*t^8.98)/g2^2 - (g1*t^4.37)/y - (g1^7*g2*t^6.77)/y - (g1^5*t^6.85)/y - (g1^3*t^6.93)/(g2*y) - (g1^3*g2*t^7.29)/y + t^7.45/(g1*g2*y) + (g2*t^7.81)/(g1*y) + (g1^10*g2*t^7.88)/y + t^7.89/(g1^3*y) + (g1^8*t^7.96)/y + t^7.97/(g1^5*g2*y) + (g1^6*t^8.04)/(g2*y) + (2*g1^8*g2^2*t^8.32)/y + (3*g1^6*g2*t^8.4)/y + (3*g1^4*t^8.48)/y + (g1^2*t^8.56)/(g2*y) + (g1^4*g2*t^8.66)/y + (g1^2*t^8.74)/y + t^8.82/(g2*y) + (g1^4*g2^2*t^8.83)/y + (2*g1^2*g2*t^8.92)/y - g1*t^4.37*y - g1^7*g2*t^6.77*y - g1^5*t^6.85*y - (g1^3*t^6.93*y)/g2 - g1^3*g2*t^7.29*y + (t^7.45*y)/(g1*g2) + (g2*t^7.81*y)/g1 + g1^10*g2*t^7.88*y + (t^7.89*y)/g1^3 + g1^8*t^7.96*y + (t^7.97*y)/(g1^5*g2) + (g1^6*t^8.04*y)/g2 + 2*g1^8*g2^2*t^8.32*y + 3*g1^6*g2*t^8.4*y + 3*g1^4*t^8.48*y + (g1^2*t^8.56*y)/g2 + g1^4*g2*t^8.66*y + g1^2*t^8.74*y + (t^8.82*y)/g2 + g1^4*g2^2*t^8.83*y + 2*g1^2*g2*t^8.92*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 |
|---|---|---|---|---|---|---|---|---|
| 4348 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_6^2$ + $ M_3M_4$ + $ M_7q_1\tilde{q}_2$ + $ M_3M_8$ + $ M_1M_7$ | 0.6926 | 0.8483 | 0.8165 | [X:[], M:[1.0126, 1.0063, 0.9747, 1.0253, 0.9621, 1.0, 0.9874, 1.0253], q:[0.481, 0.5063], qb:[0.4937, 0.5316], phi:[0.4968]] | t^2.89 + t^2.96 + t^3. + t^3.02 + t^3.04 + 2*t^3.08 + t^4.38 + t^4.41 + 2*t^4.45 + t^4.49 + 2*t^4.53 + t^4.57 + t^4.6 + t^4.68 + t^5.77 + t^5.91 + t^5.96 + t^5.98 - 2*t^6. - t^4.49/y - t^4.49*y | detail | |
| 4350 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_6^2$ + $ M_3M_4$ + $ M_7q_1\tilde{q}_2$ + $ M_3M_8$ + $ M_5M_7$ | 0.7018 | 0.8654 | 0.8109 | [X:[], M:[0.8912, 1.0181, 1.0726, 0.9274, 1.0363, 1.0, 0.9637, 0.9274], q:[0.5907, 0.5181], qb:[0.4819, 0.4456], phi:[0.4909]] | t^2.67 + 2*t^2.78 + t^2.89 + t^3. + t^3.05 + t^3.11 + t^4.15 + t^4.26 + 2*t^4.36 + t^4.47 + 2*t^4.58 + t^4.69 + t^4.8 + t^5.02 + t^5.35 + 2*t^5.46 + 3*t^5.56 + 2*t^5.67 + t^5.73 + 2*t^5.78 + 2*t^5.84 + t^5.89 + t^5.95 - 2*t^6. - t^4.47/y - t^4.47*y | detail | |
| 4353 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_6^2$ + $ M_3M_4$ + $ M_7q_1\tilde{q}_2$ + $ M_3M_8$ + $ M_9\phi_1\tilde{q}_1^2$ | 0.7478 | 0.937 | 0.7981 | [X:[], M:[0.8091, 1.0817, 1.0276, 0.9724, 0.8643, 1.0, 0.8367, 0.9724, 0.7042], q:[0.6093, 0.5817], qb:[0.4183, 0.5541], phi:[0.4592]] | t^2.11 + t^2.43 + t^2.51 + t^2.59 + 2*t^2.92 + t^3. + t^3.24 + t^4.22 + t^4.29 + t^4.38 + t^4.46 + t^4.54 + t^4.62 + t^4.7 + t^4.71 + t^4.78 + t^4.85 + 2*t^4.87 + t^4.94 + t^4.95 + 2*t^5.02 + 3*t^5.03 + t^5.1 + t^5.11 + t^5.19 + 2*t^5.34 + t^5.36 + 2*t^5.43 + 2*t^5.51 + t^5.67 + t^5.76 + 2*t^5.83 + t^5.84 - 3*t^6. - t^4.38/y - t^4.38*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1313 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_6^2$ + $ M_3M_4$ + $ M_7q_1\tilde{q}_2$ | 0.7261 | 0.8959 | 0.8105 | [X:[], M:[0.8268, 1.0866, 1.0, 1.0, 0.8268, 1.0, 0.8268], q:[0.5866, 0.5866], qb:[0.4134, 0.5866], phi:[0.4567]] | 3*t^2.48 + 3*t^3. + t^3.26 + t^3.85 + 3*t^4.37 + 6*t^4.89 + 6*t^4.96 + 6*t^5.48 + 3*t^5.74 - 4*t^6. - t^4.37/y - t^4.37*y | detail |