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 |
|---|---|---|---|---|---|---|---|---|---|
| 663 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_2M_5$ + $ M_6\phi_1q_2^2$ | 0.7021 | 0.8823 | 0.7958 | [X:[], M:[0.9637, 1.1255, 0.9715, 0.6883, 0.8745, 0.6805], q:[0.7814, 0.4411], qb:[0.5951, 0.4334], phi:[0.4372]] | [X:[], M:[[-7, 1], [4, 0], [-11, -1], [6, 0], [-4, 0], [10, 2]], q:[[1, 0], [-4, -1]], qb:[[11, 0], [0, 1]], phi:[[-2, 0]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_4$, $ M_5$, $ \phi_1^2$, $ M_1$, $ M_3$, $ q_1\tilde{q}_2$, $ q_1q_2$, $ \phi_1\tilde{q}_2^2$, $ M_6^2$, $ M_4M_6$, $ M_4^2$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ M_5M_6$, $ M_6\phi_1^2$, $ M_4M_5$, $ M_4\phi_1^2$, $ \phi_1\tilde{q}_1^2$, $ M_1M_6$, $ M_1M_4$, $ M_3M_6$, $ M_3M_4$, $ M_5^2$, $ M_5\phi_1^2$, $ \phi_1^4$, $ M_1M_5$, $ M_1\phi_1^2$, $ M_3M_5$, $ M_3\phi_1^2$, $ M_6q_1\tilde{q}_2$, $ M_6q_1q_2$, $ M_4q_1\tilde{q}_2$, $ M_4q_1q_2$, $ M_1^2$, $ M_1M_3$, $ M_3^2$, $ M_6\phi_1\tilde{q}_2^2$ | . | -3 | t^2.04 + t^2.06 + 2*t^2.62 + t^2.89 + t^2.91 + t^3.64 + t^3.67 + t^3.91 + t^4.08 + t^4.11 + 2*t^4.13 + t^4.4 + t^4.42 + 2*t^4.66 + 2*t^4.69 + t^4.88 + t^4.93 + 2*t^4.96 + t^4.98 + 3*t^5.25 + t^5.51 + t^5.54 + t^5.69 + 2*t^5.71 + t^5.73 + t^5.78 + t^5.81 + t^5.83 + t^5.95 - 3*t^6. - t^6.02 + t^6.12 + t^6.15 + 2*t^6.17 + 2*t^6.19 + t^6.27 + t^6.29 + t^6.44 + t^6.46 + 3*t^6.54 + t^6.56 + t^6.58 + 2*t^6.71 + 2*t^6.73 + 2*t^6.75 + t^6.8 - t^6.85 + t^6.92 + t^6.95 + t^6.97 + 2*t^7. + 3*t^7.02 + 2*t^7.04 + 3*t^7.29 + 3*t^7.31 + t^7.51 + 2*t^7.56 + 2*t^7.58 + t^7.73 + 2*t^7.75 + 2*t^7.77 + t^7.8 + 2*t^7.82 + 2*t^7.85 + 5*t^7.87 + t^7.89 + t^7.99 - 2*t^8.04 - 4*t^8.06 - t^8.09 + t^8.14 + t^8.16 + t^8.17 + t^8.19 + 2*t^8.21 + 2*t^8.24 + 2*t^8.26 + 2*t^8.31 + t^8.33 - t^8.36 + t^8.41 + t^8.43 + t^8.45 + t^8.48 + t^8.5 + t^8.53 + t^8.55 + 3*t^8.58 + 2*t^8.6 - 4*t^8.62 - t^8.65 + t^8.67 + t^8.7 + t^8.72 + t^8.74 + 2*t^8.75 + 2*t^8.77 + 3*t^8.79 + t^8.82 + t^8.84 - 3*t^8.89 - 3*t^8.91 - t^8.94 + t^8.97 + t^8.99 - t^4.31/y - t^6.35/y - t^6.38/y - t^6.94/y + t^7.11/y - t^7.2/y - t^7.23/y + t^7.4/y + t^7.42/y + (2*t^7.66)/y + (3*t^7.69)/y + t^7.93/y + (2*t^7.96)/y + t^7.98/y + (2*t^8.25)/y + t^8.27/y - t^8.39/y - t^8.42/y - t^8.44/y + (2*t^8.51)/y + (2*t^8.54)/y + t^8.69/y + (2*t^8.71)/y + t^8.73/y + t^8.81/y + t^8.95/y - t^4.31*y - t^6.35*y - t^6.38*y - t^6.94*y + t^7.11*y - t^7.2*y - t^7.23*y + t^7.4*y + t^7.42*y + 2*t^7.66*y + 3*t^7.69*y + t^7.93*y + 2*t^7.96*y + t^7.98*y + 2*t^8.25*y + t^8.27*y - t^8.39*y - t^8.42*y - t^8.44*y + 2*t^8.51*y + 2*t^8.54*y + t^8.69*y + 2*t^8.71*y + t^8.73*y + t^8.81*y + t^8.95*y | g1^10*g2^2*t^2.04 + g1^6*t^2.06 + (2*t^2.62)/g1^4 + (g2*t^2.89)/g1^7 + t^2.91/(g1^11*g2) + g1*g2*t^3.64 + t^3.67/(g1^3*g2) + (g2^2*t^3.91)/g1^2 + g1^20*g2^4*t^4.08 + g1^16*g2^2*t^4.11 + 2*g1^12*t^4.13 + g1^9*g2*t^4.4 + (g1^5*t^4.42)/g2 + 2*g1^6*g2^2*t^4.66 + 2*g1^2*t^4.69 + g1^20*t^4.88 + g1^3*g2^3*t^4.93 + (2*g2*t^4.96)/g1 + t^4.98/(g1^5*g2) + (3*t^5.25)/g1^8 + (g2*t^5.51)/g1^11 + t^5.54/(g1^15*g2) + g1^11*g2^3*t^5.69 + 2*g1^7*g2*t^5.71 + (g1^3*t^5.73)/g2 + (g2^2*t^5.78)/g1^14 + t^5.81/g1^18 + t^5.83/(g1^22*g2^2) + g1^8*g2^4*t^5.95 - 3*t^6. - t^6.02/(g1^4*g2^2) + g1^30*g2^6*t^6.12 + g1^26*g2^4*t^6.15 + 2*g1^22*g2^2*t^6.17 + 2*g1^18*t^6.19 + (g2*t^6.27)/g1^3 + t^6.29/(g1^7*g2) + g1^19*g2^3*t^6.44 + g1^15*g2*t^6.46 + (3*g2^2*t^6.54)/g1^6 + t^6.56/g1^10 + t^6.58/(g1^14*g2^2) + 2*g1^16*g2^4*t^6.71 + 2*g1^12*g2^2*t^6.73 + 2*g1^8*t^6.75 + (g2^3*t^6.8)/g1^9 - t^6.85/(g1^17*g2) + g1^30*g2^2*t^6.92 + g1^26*t^6.95 + g1^13*g2^5*t^6.97 + 2*g1^9*g2^3*t^7. + 3*g1^5*g2*t^7.02 + (2*g1*t^7.04)/g2 + 3*g1^2*g2^2*t^7.29 + (3*t^7.31)/g1^2 + g1^16*t^7.51 + (2*g2^3*t^7.56)/g1 + (2*g2*t^7.58)/g1^5 + g1^21*g2^5*t^7.73 + 2*g1^17*g2^3*t^7.75 + 2*g1^13*g2*t^7.77 + (g1^9*t^7.8)/g2 + (2*g2^4*t^7.82)/g1^4 + (2*g2^2*t^7.85)/g1^8 + (5*t^7.87)/g1^12 + t^7.89/(g1^16*g2^2) + g1^18*g2^6*t^7.99 - 2*g1^10*g2^2*t^8.04 - 4*g1^6*t^8.06 - (g1^2*t^8.09)/g2^2 + (g2*t^8.14)/g1^15 + t^8.16/(g1^19*g2) + g1^40*g2^8*t^8.17 + g1^36*g2^6*t^8.19 + 2*g1^32*g2^4*t^8.21 + 2*g1^28*g2^2*t^8.24 + 2*g1^24*t^8.26 + 2*g1^7*g2^3*t^8.31 + g1^3*g2*t^8.33 - t^8.36/(g1*g2) + (g2^2*t^8.41)/g1^18 + t^8.43/g1^22 + t^8.45/(g1^26*g2^2) + g1^29*g2^5*t^8.48 + g1^25*g2^3*t^8.5 + g1^21*g2*t^8.53 + (g1^17*t^8.55)/g2 + 3*g1^4*g2^4*t^8.58 + 2*g2^2*t^8.6 - (4*t^8.62)/g1^4 - t^8.65/(g1^8*g2^2) + (g2^3*t^8.67)/g1^21 + (g2*t^8.7)/g1^25 + t^8.72/(g1^29*g2) + t^8.74/(g1^33*g2^3) + 2*g1^26*g2^6*t^8.75 + 2*g1^22*g2^4*t^8.77 + 3*g1^18*g2^2*t^8.79 + g1^14*t^8.82 + g1*g2^5*t^8.84 - (3*g2*t^8.89)/g1^7 - (3*t^8.91)/(g1^11*g2) - t^8.94/(g1^15*g2^3) + g1^40*g2^4*t^8.97 + g1^36*g2^2*t^8.99 - t^4.31/(g1^2*y) - (g1^8*g2^2*t^6.35)/y - (g1^4*t^6.38)/y - t^6.94/(g1^6*y) + (g1^16*g2^2*t^7.11)/y - (g2*t^7.2)/(g1^9*y) - t^7.23/(g1^13*g2*y) + (g1^9*g2*t^7.4)/y + (g1^5*t^7.42)/(g2*y) + (2*g1^6*g2^2*t^7.66)/y + (3*g1^2*t^7.69)/y + (g1^3*g2^3*t^7.93)/y + (2*g2*t^7.96)/(g1*y) + t^7.98/(g1^5*g2*y) + (2*t^8.25)/(g1^8*y) + t^8.27/(g1^12*g2^2*y) - (g1^18*g2^4*t^8.39)/y - (g1^14*g2^2*t^8.42)/y - (g1^10*t^8.44)/y + (2*g2*t^8.51)/(g1^11*y) + (2*t^8.54)/(g1^15*g2*y) + (g1^11*g2^3*t^8.69)/y + (2*g1^7*g2*t^8.71)/y + (g1^3*t^8.73)/(g2*y) + t^8.81/(g1^18*y) + (g1^8*g2^4*t^8.95)/y - (t^4.31*y)/g1^2 - g1^8*g2^2*t^6.35*y - g1^4*t^6.38*y - (t^6.94*y)/g1^6 + g1^16*g2^2*t^7.11*y - (g2*t^7.2*y)/g1^9 - (t^7.23*y)/(g1^13*g2) + g1^9*g2*t^7.4*y + (g1^5*t^7.42*y)/g2 + 2*g1^6*g2^2*t^7.66*y + 3*g1^2*t^7.69*y + g1^3*g2^3*t^7.93*y + (2*g2*t^7.96*y)/g1 + (t^7.98*y)/(g1^5*g2) + (2*t^8.25*y)/g1^8 + (t^8.27*y)/(g1^12*g2^2) - g1^18*g2^4*t^8.39*y - g1^14*g2^2*t^8.42*y - g1^10*t^8.44*y + (2*g2*t^8.51*y)/g1^11 + (2*t^8.54*y)/(g1^15*g2) + g1^11*g2^3*t^8.69*y + 2*g1^7*g2*t^8.71*y + (g1^3*t^8.73*y)/g2 + (t^8.81*y)/g1^18 + g1^8*g2^4*t^8.95*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 |
|---|---|---|---|---|---|---|---|---|
| 1061 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_2M_5$ + $ M_6\phi_1q_2^2$ + $ M_4M_6$ + $ M_3X_1$ | 0.5217 | 0.6488 | 0.804 | [X:[1.4208], M:[0.8962, 1.2277, 0.5792, 0.8415, 0.7723, 1.1585], q:[0.8069, 0.2277], qb:[0.8761, 0.5447], phi:[0.3862]] | 2*t^2.32 + t^2.52 + t^2.69 + t^3.1 + t^3.48 + t^4.26 + t^4.43 + t^4.47 + 3*t^4.63 + 2*t^4.84 + t^5.01 + t^5.05 + t^5.38 + 2*t^5.42 + t^5.63 + 2*t^5.79 - 2*t^6. - t^4.16/y - t^4.16*y | detail | |
| 1062 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_2M_5$ + $ M_6\phi_1q_2^2$ + $ M_6\phi_1\tilde{q}_2^2$ | 0.7021 | 0.8818 | 0.7962 | [X:[], M:[0.9685, 1.1251, 0.9685, 0.6876, 0.8749, 0.6876], q:[0.7813, 0.4375], qb:[0.594, 0.4375], phi:[0.4375]] | 2*t^2.06 + 2*t^2.62 + 2*t^2.91 + 2*t^3.66 + t^3.94 + 4*t^4.13 + 2*t^4.41 + 4*t^4.69 + t^4.88 + 4*t^4.97 + 3*t^5.25 + 2*t^5.53 + 4*t^5.72 + 3*t^5.81 - 3*t^6. - t^4.31/y - t^4.31*y | detail | |
| 1060 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_2M_5$ + $ M_6\phi_1q_2^2$ + $ M_6q_1\tilde{q}_2$ | 0.6986 | 0.8743 | 0.799 | [X:[], M:[0.9932, 1.1276, 0.9328, 0.6913, 0.8724, 0.7517], q:[0.7819, 0.406], qb:[0.6008, 0.4664], phi:[0.4362]] | t^2.07 + t^2.26 + 2*t^2.62 + t^2.8 + t^2.98 + t^3.56 + t^3.74 + t^4.11 + 2*t^4.15 + 2*t^4.33 + 2*t^4.51 + 2*t^4.69 + 3*t^4.87 + t^4.91 + 2*t^5.05 + 4*t^5.23 + t^5.42 + 2*t^5.6 + t^5.64 + t^5.78 + t^5.82 + t^5.96 - 2*t^6. - t^4.31/y - t^4.31*y | detail | |
| 1059 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_2M_5$ + $ M_6\phi_1q_2^2$ + $ M_6^2$ | 0.6382 | 0.7991 | 0.7986 | [X:[], M:[1.0473, 1.1509, 0.7736, 0.7264, 0.8491, 1.0], q:[0.7877, 0.2877], qb:[0.665, 0.5614], phi:[0.4245]] | t^2.18 + t^2.32 + 2*t^2.55 + t^3. + t^3.14 + t^3.23 + t^4.05 + t^4.13 + 2*t^4.36 + t^4.5 + 2*t^4.64 + 2*t^4.73 + t^4.87 + t^4.95 + 3*t^5.09 + t^5.26 + 2*t^5.32 + t^5.41 + t^5.46 + 3*t^5.55 + t^5.69 + t^5.77 - 2*t^6. - t^4.27/y - t^4.27*y | detail | |
| 1063 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_2M_5$ + $ M_6\phi_1q_2^2$ + $ M_7\phi_1\tilde{q}_2^2$ | 0.7228 | 0.9222 | 0.7838 | [X:[], M:[0.9709, 1.124, 0.9709, 0.6861, 0.876, 0.6861, 0.6861], q:[0.781, 0.438], qb:[0.5911, 0.438], phi:[0.438]] | 3*t^2.06 + 2*t^2.63 + 2*t^2.91 + 2*t^3.66 + 7*t^4.12 + 2*t^4.4 + 6*t^4.69 + t^4.86 + 6*t^4.97 + 3*t^5.26 + 2*t^5.54 + 6*t^5.72 + 3*t^5.83 - 5*t^6. - t^4.31/y - t^4.31*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 |
|---|---|---|---|---|---|---|---|---|---|
| 411 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_2M_5$ | 0.6814 | 0.8416 | 0.8096 | [X:[], M:[0.9657, 1.1263, 0.9657, 0.6895, 0.8737], q:[0.7816, 0.4368], qb:[0.5974, 0.4368], phi:[0.4368]] | t^2.07 + 2*t^2.62 + 2*t^2.9 + 2*t^3.66 + 2*t^3.93 + 2*t^4.14 + 2*t^4.41 + 2*t^4.69 + t^4.9 + 2*t^4.97 + 3*t^5.24 + 2*t^5.52 + 2*t^5.72 + 3*t^5.79 - 3*t^6. - t^4.31/y - t^4.31*y | detail |