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 |
|---|---|---|---|---|---|---|---|---|---|
| 2358 | 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_7\phi_1\tilde{q}_1^2$ + $ M_3M_8$ | 0.7345 | 0.915 | 0.8027 | [X:[], M:[0.8326, 1.0699, 1.0276, 0.9724, 0.8878, 1.0, 0.6748, 0.9724], q:[0.5975, 0.5699], qb:[0.4301, 0.5423], phi:[0.465]] | [X:[], M:[[6, 1], [-2, 0], [-2, -1], [2, 1], [2, -1], [0, 0], [-5, 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 |
|---|---|---|---|---|
| $M_7$, $ M_1$, $ M_5$, $ M_4$, $ M_8$, $ M_6$, $ M_2$, $ q_1\tilde{q}_2$, $ M_7^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_1$, $ M_1M_7$, $ \phi_1\tilde{q}_2^2$, $ M_5M_7$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1q_2$, $ M_4M_7$, $ M_7M_8$, $ \phi_1q_1^2$, $ M_1^2$, $ M_6M_7$, $ M_1M_5$, $ M_2M_7$, $ M_5^2$, $ M_1M_4$, $ M_1M_8$, $ M_7q_1\tilde{q}_2$, $ M_4M_5$, $ M_5M_8$, $ M_1M_2$, $ M_4^2$, $ M_4M_8$, $ M_8^2$, $ M_2M_5$, $ M_4M_6$, $ M_6M_8$ | . | -3 | t^2.02 + t^2.5 + t^2.66 + 2*t^2.92 + t^3. + t^3.21 + t^3.42 + t^4.05 + t^4.31 + t^4.4 + t^4.48 + t^4.52 + t^4.65 + t^4.69 + t^4.73 + 2*t^4.81 + t^4.9 + 2*t^4.94 + t^4.98 + t^5. + t^5.02 + t^5.16 + t^5.23 + t^5.33 + 2*t^5.42 + t^5.44 + t^5.58 + t^5.71 + 2*t^5.83 + t^5.87 + t^5.92 - 3*t^6. + t^6.07 - t^6.08 + 2*t^6.13 - t^6.17 + t^6.21 + 2*t^6.34 + t^6.42 + t^6.55 + t^6.63 + t^6.67 + t^6.71 + t^6.76 + t^6.81 + 3*t^6.84 + t^6.92 + 2*t^6.97 + t^6.98 + t^7. + t^7.02 + t^7.05 + t^7.14 + t^7.15 + 2*t^7.23 + t^7.26 + 3*t^7.31 + t^7.35 + t^7.4 + 2*t^7.44 + t^7.47 + t^7.48 + t^7.49 + 2*t^7.57 + t^7.6 + t^7.64 + 2*t^7.65 + t^7.66 + 4*t^7.73 + t^7.81 + t^7.82 + 2*t^7.86 + 2*t^7.9 + 2*t^7.91 + t^7.94 + t^7.99 - 3*t^8.02 + t^8.07 + t^8.08 + t^8.1 - t^8.11 + 2*t^8.15 - t^8.16 - t^8.19 + t^8.21 + 2*t^8.23 + t^8.24 + 2*t^8.33 + 2*t^8.36 + t^8.37 + t^8.4 + t^8.44 - 3*t^8.5 + t^8.54 + t^8.57 - 2*t^8.58 + 2*t^8.62 + t^8.65 - 4*t^8.66 + t^8.7 + t^8.74 + 2*t^8.75 + t^8.78 + t^8.79 + 3*t^8.86 - 7*t^8.92 + t^8.95 + t^8.96 + 2*t^8.99 - t^4.4/y - t^6.42/y - t^6.89/y - t^7.06/y - t^7.31/y + t^7.48/y + t^7.52/y + t^7.69/y + t^7.73/y + t^7.9/y + (2*t^7.94)/y + t^8.02/y + t^8.16/y + t^8.23/y + t^8.37/y + (2*t^8.42)/y + t^8.5/y + (2*t^8.58)/y + t^8.66/y + t^8.71/y + t^8.83/y + t^8.87/y + (2*t^8.92)/y - t^4.4*y - t^6.42*y - t^6.89*y - t^7.06*y - t^7.31*y + t^7.48*y + t^7.52*y + t^7.69*y + t^7.73*y + t^7.9*y + 2*t^7.94*y + t^8.02*y + t^8.16*y + t^8.23*y + t^8.37*y + 2*t^8.42*y + t^8.5*y + 2*t^8.58*y + t^8.66*y + t^8.71*y + t^8.83*y + t^8.87*y + 2*t^8.92*y | t^2.02/g1^5 + g1^6*g2*t^2.5 + (g1^2*t^2.66)/g2 + 2*g1^2*g2*t^2.92 + t^3. + t^3.21/g1^2 + t^3.42/g1^4 + t^4.05/g1^10 + g1^3*g2*t^4.31 + g1*t^4.4 + t^4.48/(g1*g2) + g1*g2*t^4.52 + g1*g2^2*t^4.65 + t^4.69/(g1^3*g2) + (g2*t^4.73)/g1 + (2*t^4.81)/g1^3 + t^4.9/(g1^5*g2) + (2*g2*t^4.94)/g1^3 + t^4.98/(g1^7*g2^2) + g1^12*g2^2*t^5. + t^5.02/g1^5 + g1^8*t^5.16 + t^5.23/g1^7 + (g1^4*t^5.33)/g2^2 + 2*g1^8*g2^2*t^5.42 + t^5.44/g1^9 + g1^4*t^5.58 + g1^4*g2*t^5.71 + 2*g1^4*g2^2*t^5.83 + t^5.87/g2 + g1^2*g2*t^5.92 - 3*t^6. + t^6.07/g1^15 - t^6.08/(g1^2*g2) + 2*g2*t^6.13 - t^6.17/(g1^4*g2^2) + t^6.21/g1^2 + (2*g2*t^6.34)/g1^2 + t^6.42/g1^4 + (g2*t^6.55)/g1^4 + t^6.63/g1^6 + (g2^2*t^6.67)/g1^4 + t^6.71/(g1^8*g2) + (g2*t^6.76)/g1^6 + g1^9*g2^2*t^6.81 + (3*t^6.84)/g1^8 + t^6.92/(g1^10*g2) + (2*g2*t^6.97)/g1^8 + g1^5*t^6.98 + t^7./(g1^12*g2^2) + g1^7*g2^2*t^7.02 + t^7.05/g1^10 + (g1*t^7.14)/g2^2 + g1^7*g2^3*t^7.15 + 2*g1^5*g2^2*t^7.23 + t^7.26/g1^12 + 3*g1^3*g2*t^7.31 + t^7.35/(g1*g2^2) + g1*t^7.4 + 2*g1^3*g2^2*t^7.44 + t^7.47/g1^14 + t^7.48/(g1*g2) + g1^18*g2^3*t^7.49 + 2*g1^3*g2^3*t^7.57 + t^7.6/g1 + t^7.64/(g1^5*g2^3) + 2*g1*g2^2*t^7.65 + g1^14*g2*t^7.66 + (4*g2*t^7.73)/g1 + t^7.81/g1^3 + (g1^10*t^7.82)/g2 + (2*g2^2*t^7.86)/g1 + (2*t^7.9)/(g1^5*g2) + 2*g1^14*g2^3*t^7.91 + (g2*t^7.94)/g1^3 + (g1^6*t^7.99)/g2^3 - (3*t^8.02)/g1^5 + (g2^2*t^8.07)/g1^3 + g1^10*g2*t^8.08 + t^8.1/g1^20 - t^8.11/(g1^7*g2) + (2*g2*t^8.15)/g1^5 - g1^8*t^8.16 - t^8.19/(g1^9*g2^2) + g1^10*g2^2*t^8.21 + (2*t^8.23)/g1^7 + (g1^6*t^8.24)/g2 + 2*g1^10*g2^3*t^8.33 + (2*g2*t^8.36)/g1^7 + g1^6*t^8.37 + t^8.4/(g1^11*g2^2) + t^8.44/g1^9 - 3*g1^6*g2*t^8.5 + (g1^2*t^8.54)/g2^2 + (g2*t^8.57)/g1^9 - 2*g1^4*t^8.58 + 2*g1^6*g2^2*t^8.62 + t^8.65/g1^11 - (4*g1^2*t^8.66)/g2 + (g2^2*t^8.7)/g1^9 + t^8.74/(g1^13*g2) + 2*g1^6*g2^3*t^8.75 + (g2*t^8.78)/g1^11 + g1^2*t^8.79 - t^8.83/(g1^2*g2^3) + g1^4*g2^2*t^8.83 + (3*t^8.86)/g1^13 - 7*g1^2*g2*t^8.92 + t^8.95/(g1^15*g2) + g1^4*g2^3*t^8.96 + (2*g2*t^8.99)/g1^13 - (g1*t^4.4)/y - t^6.42/(g1^4*y) - (g1^7*g2*t^6.89)/y - (g1^3*t^7.06)/(g2*y) - (g1^3*g2*t^7.31)/y + t^7.48/(g1*g2*y) + (g1*g2*t^7.52)/y + t^7.69/(g1^3*g2*y) + (g2*t^7.73)/(g1*y) + t^7.9/(g1^5*g2*y) + (2*g2*t^7.94)/(g1^3*y) + t^8.02/(g1^5*y) + (g1^8*t^8.16)/y + t^8.23/(g1^7*y) + (g1^6*t^8.37)/y + (2*g1^8*g2^2*t^8.42)/y + (g1^6*g2*t^8.5)/y + (2*g1^4*t^8.58)/y + (g1^2*t^8.66)/(g2*y) + (g1^4*g2*t^8.71)/y + (g1^4*g2^2*t^8.83)/y + t^8.87/(g2*y) + (2*g1^2*g2*t^8.92)/y - g1*t^4.4*y - (t^6.42*y)/g1^4 - g1^7*g2*t^6.89*y - (g1^3*t^7.06*y)/g2 - g1^3*g2*t^7.31*y + (t^7.48*y)/(g1*g2) + g1*g2*t^7.52*y + (t^7.69*y)/(g1^3*g2) + (g2*t^7.73*y)/g1 + (t^7.9*y)/(g1^5*g2) + (2*g2*t^7.94*y)/g1^3 + (t^8.02*y)/g1^5 + g1^8*t^8.16*y + (t^8.23*y)/g1^7 + g1^6*t^8.37*y + 2*g1^8*g2^2*t^8.42*y + g1^6*g2*t^8.5*y + 2*g1^4*t^8.58*y + (g1^2*t^8.66*y)/g2 + g1^4*g2*t^8.71*y + g1^4*g2^2*t^8.83*y + (t^8.87*y)/g2 + 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 |
|---|---|---|---|---|---|---|---|---|
| 4355 | $M_1q_1q_2$ + $ 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_7\phi_1\tilde{q}_1^2$ + $ M_3M_8$ + $ M_2M_7$ | 0.7026 | 0.874 | 0.8039 | [X:[], M:[0.6867, 1.1429, 1.0276, 0.9724, 0.7419, 1.0, 0.8571, 0.9724], q:[0.6704, 0.6429], qb:[0.3571, 0.6153], phi:[0.4286]] | t^2.06 + t^2.23 + t^2.57 + 2*t^2.92 + t^3. + t^3.43 + t^3.86 + t^4.12 + t^4.2 + 2*t^4.29 + t^4.37 + t^4.45 + t^4.63 + t^4.8 + 3*t^4.98 + t^5.06 + 4*t^5.14 + t^5.23 + t^5.31 + 3*t^5.49 + t^5.57 + t^5.65 + 2*t^5.83 + t^5.92 - 2*t^6. - t^4.29/y - t^4.29*y | detail | |
| 4357 | $M_1q_1q_2$ + $ 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_7\phi_1\tilde{q}_1^2$ + $ M_3M_8$ + $ M_4^2$ | 0.7332 | 0.912 | 0.804 | [X:[], M:[0.8602, 1.0699, 1.0, 1.0, 0.8602, 1.0, 0.6748, 1.0], q:[0.5699, 0.5699], qb:[0.4301, 0.5699], phi:[0.465]] | t^2.02 + 2*t^2.58 + 3*t^3. + t^3.21 + t^3.42 + t^4.05 + 3*t^4.4 + 2*t^4.6 + 6*t^4.81 + 3*t^5.02 + 3*t^5.16 + t^5.23 + t^5.44 + 3*t^5.58 + 2*t^5.79 - 2*t^6. - t^4.4/y - t^4.4*y | detail | |
| 4356 | $M_1q_1q_2$ + $ 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_7\phi_1\tilde{q}_1^2$ + $ M_3M_8$ + $ M_7q_1\tilde{q}_2$ | 0.7243 | 0.8996 | 0.8051 | [X:[], M:[0.7502, 1.1111, 1.0276, 0.9724, 0.8054, 1.0, 0.7778, 0.9724], q:[0.6387, 0.6111], qb:[0.3889, 0.5835], phi:[0.4444]] | t^2.25 + t^2.33 + t^2.42 + 2*t^2.92 + t^3. + t^3.33 + t^3.67 + t^4.25 + t^4.33 + t^4.42 + t^4.5 + t^4.58 + 2*t^4.67 + t^4.75 + 2*t^4.83 + t^4.92 + 2*t^5. + t^5.08 + 3*t^5.17 + 2*t^5.25 + 2*t^5.33 + t^5.58 + t^5.67 + t^5.75 + 2*t^5.83 + t^5.92 - 2*t^6. - t^4.33/y - t^4.33*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1314 | 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_7\phi_1\tilde{q}_1^2$ | 0.7332 | 0.912 | 0.804 | [X:[], M:[0.8602, 1.0699, 1.0, 1.0, 0.8602, 1.0, 0.6748], q:[0.5699, 0.5699], qb:[0.4301, 0.5699], phi:[0.465]] | t^2.02 + 2*t^2.58 + 3*t^3. + t^3.21 + t^3.42 + t^4.05 + 3*t^4.4 + 2*t^4.6 + 6*t^4.81 + 3*t^5.02 + 3*t^5.16 + t^5.23 + t^5.44 + 3*t^5.58 + 2*t^5.79 - 2*t^6. - t^4.4/y - t^4.4*y | detail |