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 |
|---|---|---|---|---|---|---|---|---|---|
| 2387 | 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_4M_6$ + $ M_3M_5$ + $ M_7q_1\tilde{q}_2$ + $ M_6M_8$ | 0.7145 | 0.883 | 0.8091 | [X:[], M:[0.8676, 1.0507, 1.031, 0.9296, 0.969, 1.0704, 0.8281, 0.9296], q:[0.6366, 0.4958], qb:[0.4338, 0.5352], phi:[0.4746]] | [X:[], M:[[8, 0], [-2, 2], [-4, -4], [0, -8], [4, 4], [0, 8], [4, -12], [0, -8]], q:[[-4, 8], [-4, -8]], qb:[[4, 0], [0, 4]], phi:[[1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_7$, $ M_1$, $ M_4$, $ M_8$, $ M_5$, $ M_3$, $ M_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_2$, $ M_7^2$, $ M_1M_7$, $ M_1^2$, $ \phi_1q_1^2$, $ M_4M_7$, $ M_7M_8$, $ M_1M_4$, $ M_5M_7$, $ M_1M_8$, $ M_1M_5$, $ M_4^2$, $ M_3M_7$, $ M_4M_8$, $ M_8^2$, $ M_2M_7$, $ M_1M_3$, $ M_4M_5$, $ M_5M_8$, $ M_1M_2$, $ M_3M_4$, $ M_3M_8$, $ M_2M_4$, $ M_2M_8$ | . | -3 | t^2.48 + t^2.6 + 2*t^2.79 + t^2.91 + t^3.09 + t^3.15 + t^4.03 + t^4.21 + t^4.33 + t^4.4 + t^4.52 + 2*t^4.64 + t^4.82 + t^4.94 + t^4.97 + t^5.09 + t^5.21 + t^5.24 + 2*t^5.27 + 2*t^5.39 + t^5.51 + 3*t^5.58 + t^5.64 + t^5.7 + t^5.75 + t^5.88 + 2*t^5.94 - 3*t^6. + t^6.06 - t^6.12 + t^6.25 - 2*t^6.3 - t^6.42 + t^6.51 - t^6.61 + t^6.63 + t^6.7 + 3*t^6.82 + t^6.88 + 2*t^6.93 + 3*t^7. + 4*t^7.12 + 2*t^7.19 + 2*t^7.24 + 3*t^7.31 + 3*t^7.42 + t^7.45 + t^7.49 + t^7.54 + t^7.57 + t^7.61 + t^7.69 + t^7.73 + 2*t^7.76 + t^7.81 + 2*t^7.88 + 2*t^7.99 + t^8.05 + 3*t^8.06 + t^8.11 + t^8.12 + 2*t^8.18 + 2*t^8.24 + 2*t^8.36 + 3*t^8.37 + 3*t^8.43 - 3*t^8.48 + 3*t^8.54 - 5*t^8.6 + t^8.61 + 3*t^8.66 - t^8.72 + 4*t^8.73 - 8*t^8.79 + t^8.8 + 3*t^8.85 - 7*t^8.91 + t^8.92 + t^8.97 - t^4.42/y - t^6.91/y - t^7.03/y - t^7.21/y + t^7.64/y + t^7.82/y + t^7.94/y + t^8.09/y + (2*t^8.27)/y + (3*t^8.39)/y + t^8.51/y + (2*t^8.58)/y + t^8.64/y + (3*t^8.7)/y + t^8.75/y + (2*t^8.88)/y + (2*t^8.94)/y - t^4.42*y - t^6.91*y - t^7.03*y - t^7.21*y + t^7.64*y + t^7.82*y + t^7.94*y + t^8.09*y + 2*t^8.27*y + 3*t^8.39*y + t^8.51*y + 2*t^8.58*y + t^8.64*y + 3*t^8.7*y + t^8.75*y + 2*t^8.88*y + 2*t^8.94*y | (g1^4*t^2.48)/g2^12 + g1^8*t^2.6 + (2*t^2.79)/g2^8 + g1^4*g2^4*t^2.91 + t^3.09/(g1^4*g2^4) + (g2^2*t^3.15)/g1^2 + (g1^9*t^4.03)/g2 + (g1*t^4.21)/g2^9 + g1^5*g2^3*t^4.33 + t^4.4/(g1^7*g2^17) + t^4.52/(g1^3*g2^5) + 2*g1*g2^7*t^4.64 + t^4.82/(g1^7*g2) + (g2^11*t^4.94)/g1^3 + (g1^8*t^4.97)/g2^24 + (g1^12*t^5.09)/g2^12 + g1^16*t^5.21 + (g2^15*t^5.24)/g1^7 + (2*g1^4*t^5.27)/g2^20 + (2*g1^8*t^5.39)/g2^8 + g1^12*g2^4*t^5.51 + (3*t^5.58)/g2^16 + (g1^2*t^5.64)/g2^10 + (g1^4*t^5.7)/g2^4 + g1^6*g2^2*t^5.75 + t^5.88/(g1^4*g2^12) + (2*t^5.94)/(g1^2*g2^6) - 3*t^6. + g1^2*g2^6*t^6.06 - g1^4*g2^12*t^6.12 + t^6.25/(g1^6*g2^2) - (2*g2^4*t^6.3)/g1^4 - g2^16*t^6.42 + (g1^13*t^6.51)/g2^13 - (g2^8*t^6.61)/g1^8 + (g1^17*t^6.63)/g2 + (g1^5*t^6.7)/g2^21 + (3*g1^9*t^6.82)/g2^9 + t^6.88/(g1^3*g2^29) + 2*g1^13*g2^3*t^6.93 + (3*g1*t^7.)/g2^17 + (4*g1^5*t^7.12)/g2^5 + (2*t^7.19)/(g1^7*g2^25) + 2*g1^9*g2^7*t^7.24 + (3*t^7.31)/(g1^3*g2^13) + (3*g1*t^7.42)/g2 + (g1^12*t^7.45)/g2^36 + t^7.49/(g1^11*g2^21) + g1^5*g2^11*t^7.54 + (g1^16*t^7.57)/g2^24 + t^7.61/(g1^7*g2^9) + (g1^20*t^7.69)/g2^12 + (g2^3*t^7.73)/g1^3 + (2*g1^8*t^7.76)/g2^32 + g1^24*t^7.81 + (2*g1^12*t^7.88)/g2^20 + (2*g1^16*t^7.99)/g2^8 + (g1^18*t^8.05)/g2^2 + (3*g1^4*t^8.06)/g2^28 + g1^20*g2^4*t^8.11 + (g1^6*t^8.12)/g2^22 + (2*g1^8*t^8.18)/g2^16 + (2*g1^10*t^8.24)/g2^10 + 2*g1^14*g2^2*t^8.36 + (3*t^8.37)/g2^24 + (3*g1^2*t^8.43)/g2^18 - (3*g1^4*t^8.48)/g2^12 + (3*g1^6*t^8.54)/g2^6 - 5*g1^8*t^8.6 + t^8.61/(g1^6*g2^26) + 3*g1^10*g2^6*t^8.66 - g1^12*g2^12*t^8.72 + (4*t^8.73)/(g1^2*g2^14) - (8*t^8.79)/g2^8 + t^8.8/(g1^14*g2^34) + (3*g1^2*t^8.85)/g2^2 - 7*g1^4*g2^4*t^8.91 + t^8.92/(g1^10*g2^22) - t^8.97/(g1^8*g2^16) + 2*g1^6*g2^10*t^8.97 - (g1*t^4.42)/(g2*y) - (g1^5*t^6.91)/(g2^13*y) - (g1^9*t^7.03)/(g2*y) - (g1*t^7.21)/(g2^9*y) + (g1*g2^7*t^7.64)/y + t^7.82/(g1^7*g2*y) + (g2^11*t^7.94)/(g1^3*y) + (g1^12*t^8.09)/(g2^12*y) + (2*g1^4*t^8.27)/(g2^20*y) + (3*g1^8*t^8.39)/(g2^8*y) + (g1^12*g2^4*t^8.51)/y + (2*t^8.58)/(g2^16*y) + (g1^2*t^8.64)/(g2^10*y) + (3*g1^4*t^8.7)/(g2^4*y) + (g1^6*g2^2*t^8.75)/y + (2*t^8.88)/(g1^4*g2^12*y) + (2*t^8.94)/(g1^2*g2^6*y) - (g1*t^4.42*y)/g2 - (g1^5*t^6.91*y)/g2^13 - (g1^9*t^7.03*y)/g2 - (g1*t^7.21*y)/g2^9 + g1*g2^7*t^7.64*y + (t^7.82*y)/(g1^7*g2) + (g2^11*t^7.94*y)/g1^3 + (g1^12*t^8.09*y)/g2^12 + (2*g1^4*t^8.27*y)/g2^20 + (3*g1^8*t^8.39*y)/g2^8 + g1^12*g2^4*t^8.51*y + (2*t^8.58*y)/g2^16 + (g1^2*t^8.64*y)/g2^10 + (3*g1^4*t^8.7*y)/g2^4 + g1^6*g2^2*t^8.75*y + (2*t^8.88*y)/(g1^4*g2^12) + (2*t^8.94*y)/(g1^2*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 |
|---|---|---|---|---|---|---|---|---|
| 4407 | $M_1q_1q_2$ + $ 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_4M_6$ + $ M_3M_5$ + $ M_7q_1\tilde{q}_2$ + $ M_6M_8$ + $ \phi_1q_2^2$ | 0.6364 | 0.7932 | 0.8023 | [X:[], M:[0.6974, 1.048, 1.2067, 1.1107, 0.7933, 0.8893, 1.0147, 1.1107], q:[0.5406, 0.762], qb:[0.3487, 0.4447], phi:[0.476]] | t^2.09 + t^2.38 + t^3.04 + t^3.14 + 2*t^3.33 + t^3.52 + t^3.62 + t^3.81 + 2*t^4.1 + t^4.18 + t^4.38 + t^4.47 + t^4.67 + t^4.76 + t^5.14 + t^5.24 + 2*t^5.42 + t^5.52 + t^5.61 + t^5.71 + 2*t^5.9 - 2*t^6. - t^4.43/y - t^4.43*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1333 | 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_4M_6$ + $ M_3M_5$ + $ M_7q_1\tilde{q}_2$ | 0.709 | 0.8723 | 0.8128 | [X:[], M:[0.8671, 1.0452, 1.0426, 0.9522, 0.9574, 1.0478, 0.8619], q:[0.6142, 0.5187], qb:[0.4336, 0.5239], phi:[0.4774]] | t^2.59 + t^2.6 + t^2.86 + t^2.87 + t^3.13 + 2*t^3.14 + t^4.03 + t^4.29 + t^4.3 + t^4.54 + t^4.56 + 2*t^4.58 + t^4.83 + t^4.85 + t^5.12 + t^5.17 + t^5.19 + t^5.2 + t^5.44 + t^5.46 + t^5.47 + t^5.71 + t^5.72 + t^5.73 + 2*t^5.74 + t^5.99 - 2*t^6. - t^4.43/y - t^4.43*y | detail |