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 |
|---|---|---|---|---|---|---|---|---|---|
| 1646 | 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_6q_1\tilde{q}_2$ + $ M_7\phi_1q_2^2$ + $ M_8\phi_1\tilde{q}_2^2$ | 0.7406 | 0.9542 | 0.7762 | [X:[], M:[0.9789, 1.1233, 0.9664, 0.6849, 0.8767, 0.7746, 0.6974, 0.6724], q:[0.7808, 0.4321], qb:[0.589, 0.4446], phi:[0.4384]] | [X:[], M:[[-7, 1], [4, 0], [-11, -1], [6, 0], [-4, 0], [-1, -1], [10, 2], [2, -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 |
|---|---|---|---|---|
| $M_8$, $ M_4$, $ M_7$, $ M_6$, $ M_5$, $ \phi_1^2$, $ M_3$, $ M_1$, $ q_1q_2$, $ M_8^2$, $ M_4M_8$, $ M_4^2$, $ M_7M_8$, $ q_1\tilde{q}_1$, $ M_4M_7$, $ M_7^2$, $ M_6M_8$, $ M_4M_6$, $ \phi_1q_2\tilde{q}_1$, $ M_6M_7$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_6^2$, $ M_5M_8$, $ M_8\phi_1^2$, $ M_4M_5$, $ M_4\phi_1^2$, $ M_5M_7$, $ M_7\phi_1^2$, $ \phi_1\tilde{q}_1^2$, $ M_3M_8$, $ M_3M_4$, $ M_5M_6$, $ M_1M_8$, $ M_6\phi_1^2$, $ M_1M_4$, $ M_3M_7$, $ M_1M_7$, $ M_3M_6$, $ M_5^2$, $ M_1M_6$, $ M_5\phi_1^2$, $ \phi_1^4$, $ M_3M_5$, $ M_3\phi_1^2$, $ M_1M_5$, $ M_1\phi_1^2$, $ M_8q_1q_2$, $ M_4q_1q_2$, $ M_7q_1q_2$, $ M_3^2$, $ M_1M_3$, $ M_1^2$ | . | -3 | t^2.02 + t^2.05 + t^2.09 + t^2.32 + 2*t^2.63 + t^2.9 + t^2.94 + t^3.64 + t^4.03 + t^4.07 + 3*t^4.11 + t^4.15 + t^4.18 + t^4.34 + 2*t^4.38 + 2*t^4.42 + 3*t^4.65 + 2*t^4.68 + 2*t^4.72 + t^4.85 + t^4.92 + 4*t^4.95 + 2*t^4.99 + t^5.03 + t^5.22 + 4*t^5.26 + t^5.53 + t^5.57 + t^5.66 + t^5.69 + t^5.73 + t^5.8 + t^5.84 + t^5.87 - 3*t^6. - t^6.04 + t^6.05 + t^6.09 + 3*t^6.13 + 3*t^6.16 + 3*t^6.2 + t^6.24 + t^6.27 + t^6.28 - t^6.31 + t^6.36 + 2*t^6.4 + 4*t^6.43 + 2*t^6.47 + 2*t^6.51 + t^6.54 + 3*t^6.66 + 4*t^6.7 + 6*t^6.74 + 2*t^6.78 + 2*t^6.81 - t^6.84 + t^6.87 - t^6.88 + t^6.9 + t^6.93 + t^6.94 + 5*t^6.97 + 6*t^7.01 + 6*t^7.05 + 2*t^7.08 + t^7.12 + t^7.17 + t^7.24 + 7*t^7.28 + 4*t^7.32 + 3*t^7.35 + t^7.48 + 2*t^7.55 + 5*t^7.58 + t^7.62 + t^7.66 + t^7.67 + t^7.71 + 2*t^7.75 + 2*t^7.82 + 3*t^7.85 + 7*t^7.89 + 2*t^7.93 + t^7.97 - 3*t^8.02 - 5*t^8.05 + t^8.07 - 5*t^8.09 + t^8.11 + t^8.12 - t^8.13 + 3*t^8.14 + 2*t^8.16 + 3*t^8.18 + 2*t^8.2 + 5*t^8.22 + 3*t^8.26 + 4*t^8.29 - 5*t^8.32 + t^8.33 - 3*t^8.36 + t^8.37 + t^8.38 - t^8.4 + 2*t^8.41 + t^8.43 + 4*t^8.45 + t^8.47 + 5*t^8.49 + t^8.5 + 4*t^8.53 + 3*t^8.56 + 2*t^8.6 - 6*t^8.63 - 2*t^8.67 + 3*t^8.68 + t^8.7 + 4*t^8.72 + t^8.74 + 8*t^8.76 + t^8.77 + 5*t^8.79 + t^8.81 + 6*t^8.83 - t^8.86 + 2*t^8.87 + t^8.88 - 4*t^8.9 + 2*t^8.91 + t^8.92 - 7*t^8.94 + t^8.95 + 3*t^8.96 - 2*t^8.97 + 5*t^8.99 - t^4.32/y - t^6.33/y - t^6.37/y - t^6.41/y - t^6.64/y - t^6.95/y + t^7.07/y + t^7.11/y + t^7.15/y - t^7.21/y - t^7.25/y + t^7.34/y + (2*t^7.38)/y + (2*t^7.42)/y + (2*t^7.65)/y + (3*t^7.68)/y + (2*t^7.72)/y + t^7.92/y + (4*t^7.95)/y + (3*t^7.99)/y + t^8.03/y + (2*t^8.22)/y + (3*t^8.26)/y + t^8.3/y - t^8.35/y - t^8.39/y - (2*t^8.42)/y - t^8.46/y - t^8.5/y + (2*t^8.53)/y + (2*t^8.57)/y + t^8.84/y - t^8.96/y - t^4.32*y - t^6.33*y - t^6.37*y - t^6.41*y - t^6.64*y - t^6.95*y + t^7.07*y + t^7.11*y + t^7.15*y - t^7.21*y - t^7.25*y + t^7.34*y + 2*t^7.38*y + 2*t^7.42*y + 2*t^7.65*y + 3*t^7.68*y + 2*t^7.72*y + t^7.92*y + 4*t^7.95*y + 3*t^7.99*y + t^8.03*y + 2*t^8.22*y + 3*t^8.26*y + t^8.3*y - t^8.35*y - t^8.39*y - 2*t^8.42*y - t^8.46*y - t^8.5*y + 2*t^8.53*y + 2*t^8.57*y + t^8.84*y - t^8.96*y | (g1^2*t^2.02)/g2^2 + g1^6*t^2.05 + g1^10*g2^2*t^2.09 + t^2.32/(g1*g2) + (2*t^2.63)/g1^4 + t^2.9/(g1^11*g2) + (g2*t^2.94)/g1^7 + t^3.64/(g1^3*g2) + (g1^4*t^4.03)/g2^4 + (g1^8*t^4.07)/g2^2 + 3*g1^12*t^4.11 + g1^16*g2^2*t^4.15 + g1^20*g2^4*t^4.18 + (g1*t^4.34)/g2^3 + (2*g1^5*t^4.38)/g2 + 2*g1^9*g2*t^4.42 + (3*t^4.65)/(g1^2*g2^2) + 2*g1^2*t^4.68 + 2*g1^6*g2^2*t^4.72 + g1^20*t^4.85 + t^4.92/(g1^9*g2^3) + (4*t^4.95)/(g1^5*g2) + (2*g2*t^4.99)/g1 + g1^3*g2^3*t^5.03 + t^5.22/(g1^12*g2^2) + (4*t^5.26)/g1^8 + t^5.53/(g1^15*g2) + (g2*t^5.57)/g1^11 + t^5.66/(g1*g2^3) + (g1^3*t^5.69)/g2 + g1^7*g2*t^5.73 + t^5.8/(g1^22*g2^2) + t^5.84/g1^18 + (g2^2*t^5.87)/g1^14 - 3*t^6. - g1^4*g2^2*t^6.04 + (g1^6*t^6.05)/g2^6 + (g1^10*t^6.09)/g2^4 + (3*g1^14*t^6.13)/g2^2 + 3*g1^18*t^6.16 + 3*g1^22*g2^2*t^6.2 + g1^26*g2^4*t^6.24 + t^6.27/(g1^7*g2) + g1^30*g2^6*t^6.28 - (g2*t^6.31)/g1^3 + (g1^3*t^6.36)/g2^5 + (2*g1^7*t^6.4)/g2^3 + (4*g1^11*t^6.43)/g2 + 2*g1^15*g2*t^6.47 + 2*g1^19*g2^3*t^6.51 + t^6.54/(g1^14*g2^2) + (3*t^6.66)/g2^4 + (4*g1^4*t^6.7)/g2^2 + 6*g1^8*t^6.74 + 2*g1^12*g2^2*t^6.78 + 2*g1^16*g2^4*t^6.81 - t^6.84/(g1^17*g2) + (g1^22*t^6.87)/g2^2 - (g2*t^6.88)/g1^13 + g1^26*t^6.9 + t^6.93/(g1^7*g2^5) + g1^30*g2^2*t^6.94 + (5*t^6.97)/(g1^3*g2^3) + (6*g1*t^7.01)/g2 + 6*g1^5*g2*t^7.05 + 2*g1^9*g2^3*t^7.08 + g1^13*g2^5*t^7.12 + (g1^19*t^7.17)/g2 + t^7.24/(g1^10*g2^4) + (7*t^7.28)/(g1^6*g2^2) + (4*t^7.32)/g1^2 + 3*g1^2*g2^2*t^7.35 + g1^16*t^7.48 + (2*t^7.55)/(g1^13*g2^3) + (5*t^7.58)/(g1^9*g2) + (g2*t^7.62)/g1^5 + (g2^3*t^7.66)/g1 + (g1*t^7.67)/g2^5 + (g1^5*t^7.71)/g2^3 + (2*g1^9*t^7.75)/g2 + t^7.82/(g1^20*g2^4) + g1^17*g2^3*t^7.82 + (3*t^7.85)/(g1^16*g2^2) + (7*t^7.89)/g1^12 + (2*g2^2*t^7.93)/g1^8 + (g2^4*t^7.97)/g1^4 - (3*g1^2*t^8.02)/g2^2 - 5*g1^6*t^8.05 + (g1^8*t^8.07)/g2^8 - 5*g1^10*g2^2*t^8.09 + (g1^12*t^8.11)/g2^6 + t^8.12/(g1^23*g2^3) - g1^14*g2^4*t^8.13 + (3*g1^16*t^8.14)/g2^4 + (2*t^8.16)/(g1^19*g2) + (3*g1^20*t^8.18)/g2^2 + (2*g2*t^8.2)/g1^15 + 5*g1^24*t^8.22 + 3*g1^28*g2^2*t^8.26 + t^8.29/(g1^5*g2^3) + 3*g1^32*g2^4*t^8.29 - (5*t^8.32)/(g1*g2) + g1^36*g2^6*t^8.33 - 3*g1^3*g2*t^8.36 + g1^40*g2^8*t^8.37 + (g1^5*t^8.38)/g2^7 - g1^7*g2^3*t^8.4 + (2*g1^9*t^8.41)/g2^5 + t^8.43/(g1^26*g2^2) + (4*g1^13*t^8.45)/g2^3 + t^8.47/g1^22 + (5*g1^17*t^8.49)/g2 + (g2^2*t^8.5)/g1^18 + 4*g1^21*g2*t^8.53 + t^8.56/(g1^12*g2^4) + 2*g1^25*g2^3*t^8.56 + 2*g1^29*g2^5*t^8.6 - (6*t^8.63)/g1^4 - 2*g2^2*t^8.67 + (3*g1^2*t^8.68)/g2^6 + t^8.7/(g1^33*g2^3) + (4*g1^6*t^8.72)/g2^4 + t^8.74/(g1^29*g2) + (8*g1^10*t^8.76)/g2^2 + (g2*t^8.77)/g1^25 + 5*g1^14*t^8.79 + (g2^3*t^8.81)/g1^21 + 6*g1^18*g2^2*t^8.83 - t^8.86/(g1^15*g2^3) + 2*g1^22*g2^4*t^8.87 + (g1^24*t^8.88)/g2^4 - (4*t^8.9)/(g1^11*g2) + 2*g1^26*g2^6*t^8.91 + (g1^28*t^8.92)/g2^2 - (7*g2*t^8.94)/g1^7 + t^8.95/(g1^5*g2^7) + 3*g1^32*t^8.96 - (2*g2^3*t^8.97)/g1^3 + (5*t^8.99)/(g1*g2^5) - t^4.32/(g1^2*y) - t^6.33/(g2^2*y) - (g1^4*t^6.37)/y - (g1^8*g2^2*t^6.41)/y - t^6.64/(g1^3*g2*y) - t^6.95/(g1^6*y) + (g1^8*t^7.07)/(g2^2*y) + (g1^12*t^7.11)/y + (g1^16*g2^2*t^7.15)/y - t^7.21/(g1^13*g2*y) - (g2*t^7.25)/(g1^9*y) + (g1*t^7.34)/(g2^3*y) + (2*g1^5*t^7.38)/(g2*y) + (2*g1^9*g2*t^7.42)/y + (2*t^7.65)/(g1^2*g2^2*y) + (3*g1^2*t^7.68)/y + (2*g1^6*g2^2*t^7.72)/y + t^7.92/(g1^9*g2^3*y) + (4*t^7.95)/(g1^5*g2*y) + (3*g2*t^7.99)/(g1*y) + (g1^3*g2^3*t^8.03)/y + (2*t^8.22)/(g1^12*g2^2*y) + (3*t^8.26)/(g1^8*y) + (g2^2*t^8.3)/(g1^4*y) - (g1^2*t^8.35)/(g2^4*y) - (g1^6*t^8.39)/(g2^2*y) - (2*g1^10*t^8.42)/y - (g1^14*g2^2*t^8.46)/y - (g1^18*g2^4*t^8.5)/y + (2*t^8.53)/(g1^15*g2*y) + (2*g2*t^8.57)/(g1^11*y) + t^8.84/(g1^18*y) - t^8.96/(g1^4*g2^2*y) - (t^4.32*y)/g1^2 - (t^6.33*y)/g2^2 - g1^4*t^6.37*y - g1^8*g2^2*t^6.41*y - (t^6.64*y)/(g1^3*g2) - (t^6.95*y)/g1^6 + (g1^8*t^7.07*y)/g2^2 + g1^12*t^7.11*y + g1^16*g2^2*t^7.15*y - (t^7.21*y)/(g1^13*g2) - (g2*t^7.25*y)/g1^9 + (g1*t^7.34*y)/g2^3 + (2*g1^5*t^7.38*y)/g2 + 2*g1^9*g2*t^7.42*y + (2*t^7.65*y)/(g1^2*g2^2) + 3*g1^2*t^7.68*y + 2*g1^6*g2^2*t^7.72*y + (t^7.92*y)/(g1^9*g2^3) + (4*t^7.95*y)/(g1^5*g2) + (3*g2*t^7.99*y)/g1 + g1^3*g2^3*t^8.03*y + (2*t^8.22*y)/(g1^12*g2^2) + (3*t^8.26*y)/g1^8 + (g2^2*t^8.3*y)/g1^4 - (g1^2*t^8.35*y)/g2^4 - (g1^6*t^8.39*y)/g2^2 - 2*g1^10*t^8.42*y - g1^14*g2^2*t^8.46*y - g1^18*g2^4*t^8.5*y + (2*t^8.53*y)/(g1^15*g2) + (2*g2*t^8.57*y)/g1^11 + (t^8.84*y)/g1^18 - (t^8.96*y)/(g1^4*g2^2) |
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 |
|---|---|---|---|---|---|---|---|---|
| 4038 | $\phi_1q_1^2$ + $ 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_6q_1\tilde{q}_2$ + $ M_7\phi_1q_2^2$ + $ M_8\phi_1\tilde{q}_2^2$ + $ \phi_1\tilde{q}_1^2$ | 0.6962 | 0.8967 | 0.7764 | [X:[], M:[0.8077, 1.2, 0.7923, 0.8, 0.8, 0.7923, 0.8154, 0.7846], q:[0.8, 0.3923], qb:[0.8, 0.4077], phi:[0.4]] | t^2.35 + 2*t^2.38 + 3*t^2.4 + t^2.42 + t^2.45 + t^3.58 + t^4.71 + 2*t^4.73 + 6*t^4.75 + 7*t^4.78 + 10*t^4.8 + 5*t^4.82 + 4*t^4.85 + t^4.87 + t^4.89 + t^5.93 + t^5.95 + t^5.98 - 2*t^6. - t^4.2/y - t^4.2*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1058 | 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_6q_1\tilde{q}_2$ + $ M_7\phi_1q_2^2$ | 0.7198 | 0.9129 | 0.7884 | [X:[], M:[0.9768, 1.1237, 0.9666, 0.6855, 0.8763, 0.7758, 0.6958], q:[0.7809, 0.433], qb:[0.5902, 0.4433], phi:[0.4382]] | t^2.06 + t^2.09 + t^2.33 + 2*t^2.63 + t^2.9 + t^2.93 + t^3.64 + t^3.97 + 2*t^4.11 + t^4.14 + t^4.17 + 2*t^4.38 + 2*t^4.41 + t^4.65 + 2*t^4.69 + 2*t^4.72 + t^4.86 + 3*t^4.96 + 2*t^4.99 + t^5.02 + t^5.23 + 4*t^5.26 + t^5.53 + t^5.56 + t^5.7 + t^5.73 + t^5.8 + t^5.83 + t^5.86 - 3*t^6. - t^4.31/y - t^4.31*y | detail |