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 |
|---|---|---|---|---|---|---|---|---|---|
| 46938 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_3M_5$ + $ M_4M_6$ | 0.7134 | 0.8806 | 0.8101 | [X:[], M:[0.846, 0.8524, 1.0534, 1.0471, 0.9466, 0.9529], q:[0.6272, 0.5267], qb:[0.5203, 0.4262], phi:[0.4749]] | [X:[], M:[[12, 20], [0, 16], [-8, -8], [4, -4], [8, 8], [-4, 4]], q:[[-8, -16], [-4, -4]], qb:[[8, 0], [0, 8]], phi:[[1, 3]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ M_2$, $ M_5$, $ \phi_1^2$, $ M_6$, $ M_4$, $ M_3$, $ \phi_1\tilde{q}_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1q_2$, $ M_1^2$, $ M_1M_2$, $ M_2^2$, $ \phi_1q_1^2$, $ M_1M_5$, $ M_1\phi_1^2$, $ M_2M_5$, $ M_1M_6$, $ M_2\phi_1^2$, $ M_2M_6$, $ M_1M_4$, $ M_5^2$, $ M_5\phi_1^2$, $ M_1M_3$, $ M_2M_4$, $ M_5M_6$, $ \phi_1^4$, $ M_6\phi_1^2$, $ M_2M_3$, $ M_6^2$, $ M_4\phi_1^2$ | . | -2 | t^2.54 + t^2.56 + t^2.84 + t^2.85 + t^2.86 + t^3.14 + t^3.16 + t^3.98 + t^4.26 + t^4.28 + t^4.55 + t^4.57 + 2*t^4.58 + t^4.87 + t^4.89 + t^5.08 + t^5.1 + t^5.11 + t^5.19 + t^5.38 + t^5.39 + t^5.4 + t^5.41 + t^5.42 + t^5.68 + t^5.69 + 2*t^5.7 + t^5.71 + t^5.72 + t^5.99 - 2*t^6. + t^6.01 - 2*t^6.3 + t^6.52 + t^6.54 - t^6.6 + t^6.8 + 2*t^6.82 + t^6.83 + 2*t^6.84 + t^7.08 + 2*t^7.1 + t^7.11 + 3*t^7.12 + 3*t^7.14 + t^7.39 + t^7.4 + 2*t^7.41 + 2*t^7.42 + t^7.43 + 2*t^7.44 + t^7.61 + t^7.63 + t^7.65 + t^7.67 + t^7.69 - t^7.7 + t^7.71 + t^7.73 - t^7.74 + 2*t^7.75 + t^7.92 + t^7.93 + 2*t^7.94 + t^7.95 + 2*t^7.96 + t^7.97 - t^8.02 + t^8.05 + t^8.22 + t^8.23 + 2*t^8.24 + 2*t^8.25 + t^8.26 + 3*t^8.27 - t^8.34 + t^8.35 + 2*t^8.53 - 2*t^8.54 + 3*t^8.55 - 3*t^8.56 + 3*t^8.57 + t^8.81 - t^8.82 + t^8.83 - 4*t^8.84 - 5*t^8.86 + 2*t^8.87 - t^4.42/y - t^6.96/y - t^6.98/y - t^7.27/y + t^7.58/y + t^7.87/y + t^7.89/y + t^8.1/y + t^8.38/y + t^8.39/y + (2*t^8.4)/y + t^8.41/y + t^8.42/y + t^8.68/y + t^8.69/y + (3*t^8.7)/y + t^8.71/y + t^8.72/y + t^8.98/y + t^8.99/y - t^4.42*y - t^6.96*y - t^6.98*y - t^7.27*y + t^7.58*y + t^7.87*y + t^7.89*y + t^8.1*y + t^8.38*y + t^8.39*y + 2*t^8.4*y + t^8.41*y + t^8.42*y + t^8.68*y + t^8.69*y + 3*t^8.7*y + t^8.71*y + t^8.72*y + t^8.98*y + t^8.99*y | g1^12*g2^20*t^2.54 + g2^16*t^2.56 + g1^8*g2^8*t^2.84 + g1^2*g2^6*t^2.85 + (g2^4*t^2.86)/g1^4 + (g1^4*t^3.14)/g2^4 + t^3.16/(g1^8*g2^8) + g1*g2^19*t^3.98 + g1^9*g2^11*t^4.26 + (g2^7*t^4.28)/g1^3 + g1^17*g2^3*t^4.55 + (g1^5*t^4.57)/g2 + (2*t^4.58)/(g1^7*g2^5) + (g1*t^4.87)/g2^13 + t^4.89/(g1^11*g2^17) + g1^24*g2^40*t^5.08 + g1^12*g2^36*t^5.1 + g2^32*t^5.11 + t^5.19/(g1^15*g2^29) + g1^20*g2^28*t^5.38 + g1^14*g2^26*t^5.39 + g1^8*g2^24*t^5.4 + g1^2*g2^22*t^5.41 + (g2^20*t^5.42)/g1^4 + g1^16*g2^16*t^5.68 + g1^10*g2^14*t^5.69 + 2*g1^4*g2^12*t^5.7 + (g2^10*t^5.71)/g1^2 + (g2^8*t^5.72)/g1^8 + g1^6*g2^2*t^5.99 - 2*t^6. + t^6.01/(g1^6*g2^2) - (2*t^6.3)/(g1^4*g2^12) + g1^13*g2^39*t^6.52 + g1*g2^35*t^6.54 - t^6.6/(g1^8*g2^24) + g1^21*g2^31*t^6.8 + 2*g1^9*g2^27*t^6.82 + g1^3*g2^25*t^6.83 + (2*g2^23*t^6.84)/g1^3 + g1^29*g2^23*t^7.08 + 2*g1^17*g2^19*t^7.1 + g1^11*g2^17*t^7.11 + 3*g1^5*g2^15*t^7.12 + (3*g2^11*t^7.14)/g1^7 + g1^25*g2^11*t^7.39 + g1^19*g2^9*t^7.4 + 2*g1^13*g2^7*t^7.41 + 2*g1*g2^3*t^7.42 + (g2*t^7.43)/g1^5 + (2*t^7.44)/(g1^11*g2) + g1^36*g2^60*t^7.61 + g1^24*g2^56*t^7.63 + g1^12*g2^52*t^7.65 + g2^48*t^7.67 + (g1^21*t^7.69)/g2 - (g1^15*t^7.7)/g2^3 + (g1^9*t^7.71)/g2^5 + t^7.73/(g1^3*g2^9) - t^7.74/(g1^9*g2^11) + (2*t^7.75)/(g1^15*g2^13) + g1^32*g2^48*t^7.92 + g1^26*g2^46*t^7.93 + g1^14*g2^42*t^7.94 + g1^20*g2^44*t^7.94 + g1^8*g2^40*t^7.95 + 2*g1^2*g2^38*t^7.96 + (g2^36*t^7.97)/g1^4 - t^8.02/(g1*g2^19) + t^8.05/(g1^19*g2^25) + g1^28*g2^36*t^8.22 + g1^22*g2^34*t^8.23 + 2*g1^16*g2^32*t^8.24 + 2*g1^10*g2^30*t^8.25 + g1^4*g2^28*t^8.26 + (g2^24*t^8.27)/g1^8 + (2*g2^26*t^8.27)/g1^2 - t^8.34/(g1^17*g2^35) + t^8.35/(g1^23*g2^37) + 2*g1^18*g2^22*t^8.53 - 2*g1^12*g2^20*t^8.54 + 3*g1^6*g2^18*t^8.55 - 3*g2^16*t^8.56 + (3*g2^14*t^8.57)/g1^6 + g1^26*g2^14*t^8.81 - g1^20*g2^12*t^8.82 + g1^14*g2^10*t^8.83 - 4*g1^8*g2^8*t^8.84 - (5*g2^4*t^8.86)/g1^4 + (2*g2^2*t^8.87)/g1^10 - (g1*g2^3*t^4.42)/y - (g1^13*g2^23*t^6.96)/y - (g1*g2^19*t^6.98)/y - (g1^3*g2^9*t^7.27)/y + t^7.58/(g1*g2^3*y) + (g1*t^7.87)/(g2^13*y) + t^7.89/(g1^11*g2^17*y) + (g1^12*g2^36*t^8.1)/y + (g1^20*g2^28*t^8.38)/y + (g1^14*g2^26*t^8.39)/y + (2*g1^8*g2^24*t^8.4)/y + (g1^2*g2^22*t^8.41)/y + (g2^20*t^8.42)/(g1^4*y) + (g1^16*g2^16*t^8.68)/y + (g1^10*g2^14*t^8.69)/y + (3*g1^4*g2^12*t^8.7)/y + (g2^10*t^8.71)/(g1^2*y) + (g2^8*t^8.72)/(g1^8*y) + (g1^12*g2^4*t^8.98)/y + (g1^6*g2^2*t^8.99)/y - g1*g2^3*t^4.42*y - g1^13*g2^23*t^6.96*y - g1*g2^19*t^6.98*y - g1^3*g2^9*t^7.27*y + (t^7.58*y)/(g1*g2^3) + (g1*t^7.87*y)/g2^13 + (t^7.89*y)/(g1^11*g2^17) + g1^12*g2^36*t^8.1*y + g1^20*g2^28*t^8.38*y + g1^14*g2^26*t^8.39*y + 2*g1^8*g2^24*t^8.4*y + g1^2*g2^22*t^8.41*y + (g2^20*t^8.42*y)/g1^4 + g1^16*g2^16*t^8.68*y + g1^10*g2^14*t^8.69*y + 3*g1^4*g2^12*t^8.7*y + (g2^10*t^8.71*y)/g1^2 + (g2^8*t^8.72*y)/g1^8 + g1^12*g2^4*t^8.98*y + g1^6*g2^2*t^8.99*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 |
|---|---|---|---|---|---|---|---|---|
| 55069 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_3M_5$ + $ M_4M_6$ + $ M_1M_5$ | 0.7013 | 0.8626 | 0.813 | [X:[], M:[0.9771, 0.8854, 0.9771, 1.0687, 1.0229, 0.9313], q:[0.5344, 0.4885], qb:[0.5802, 0.4427], phi:[0.4885]] | t^2.66 + t^2.79 + 3*t^2.93 + t^3.07 + t^3.21 + t^4.12 + t^4.26 + 2*t^4.4 + 2*t^4.53 + 2*t^4.67 + t^4.81 + t^4.95 + t^5.31 + t^5.45 + 3*t^5.59 + 2*t^5.73 + 5*t^5.86 - t^4.47/y - t^4.47*y | detail | |
| 50869 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_3M_5$ + $ M_4M_6$ + $ M_2^2$ | 0.6972 | 0.8564 | 0.8141 | [X:[], M:[0.9194, 1.0, 1.0538, 0.9731, 0.9462, 1.0269], q:[0.5538, 0.5269], qb:[0.4462, 0.5], phi:[0.4933]] | t^2.76 + t^2.84 + t^2.92 + t^2.96 + t^3. + t^3.08 + t^3.16 + t^4.16 + t^4.32 + t^4.4 + 2*t^4.48 + t^4.56 + 2*t^4.64 + t^4.72 + t^4.8 + t^5.52 + t^5.6 + t^5.68 + t^5.72 + t^5.76 + t^5.8 + t^5.84 + t^5.88 + 2*t^5.92 + t^5.96 - t^6. - t^4.48/y - t^4.48*y | detail | |
| 55353 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_3M_5$ + $ M_4M_6$ + $ M_3M_7$ | 0.7194 | 0.8926 | 0.806 | [X:[], M:[0.8127, 0.853, 1.0759, 1.0356, 0.9241, 0.9644, 0.9241], q:[0.6494, 0.5379], qb:[0.4976, 0.4265], phi:[0.4721]] | t^2.44 + t^2.56 + 2*t^2.77 + t^2.83 + t^2.89 + t^3.11 + t^3.98 + t^4.19 + t^4.31 + t^4.4 + t^4.52 + 2*t^4.64 + t^4.86 + t^4.88 + t^4.98 + t^5. + t^5.12 + 2*t^5.21 + t^5.27 + t^5.31 + 2*t^5.33 + t^5.39 + t^5.45 + 3*t^5.54 + 2*t^5.61 + 2*t^5.67 + t^5.73 + t^5.88 + t^5.94 - 3*t^6. - t^4.42/y - t^4.42*y | detail | |
| 55193 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_3M_5$ + $ M_4M_6$ + $ M_4M_7$ | 0.7187 | 0.8911 | 0.8065 | [X:[], M:[0.8499, 0.8234, 1.0412, 1.0677, 0.9588, 0.9323, 0.9323], q:[0.6295, 0.5206], qb:[0.5471, 0.4117], phi:[0.4728]] | t^2.47 + t^2.55 + 2*t^2.8 + t^2.84 + t^2.88 + t^3.12 + t^3.89 + t^4.22 + t^4.29 + 2*t^4.54 + t^4.62 + t^4.7 + t^4.87 + t^4.94 + t^4.95 + t^5.02 + t^5.1 + t^5.2 + 2*t^5.27 + t^5.31 + 2*t^5.35 + t^5.39 + t^5.43 + 3*t^5.59 + 2*t^5.63 + 2*t^5.67 + t^5.71 + t^5.92 + t^5.96 - 3*t^6. - t^4.42/y - t^4.42*y | detail | |
| 55105 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_3M_5$ + $ M_4M_6$ + $ M_6M_7$ | 0.71 | 0.8746 | 0.8118 | [X:[], M:[0.8432, 0.883, 1.0655, 1.0258, 0.9345, 0.9742, 1.0258], q:[0.624, 0.5328], qb:[0.493, 0.4415], phi:[0.4772]] | t^2.53 + t^2.65 + t^2.8 + t^2.86 + 2*t^3.08 + t^3.2 + t^4.08 + t^4.24 + t^4.35 + t^4.39 + t^4.51 + 2*t^4.63 + t^4.78 + t^4.9 + t^5.06 + 2*t^5.18 + t^5.3 + t^5.33 + t^5.39 + t^5.51 + 2*t^5.61 + t^5.67 + 2*t^5.73 + t^5.88 + 2*t^5.94 - 3*t^6. - t^4.43/y - t^4.43*y | detail | |
| 55184 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_3M_5$ + $ M_4M_6$ + $ M_7\phi_1^2$ | 0.709 | 0.8723 | 0.8128 | [X:[], M:[0.8619, 0.8671, 1.0478, 1.0426, 0.9522, 0.9574, 1.0452], q:[0.6142, 0.5239], qb:[0.5187, 0.4336], 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 |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 46406 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_3M_5$ | 0.7478 | 0.9314 | 0.8029 | [X:[], M:[0.7502, 0.889, 1.0, 0.8612, 1.0, 0.7502], q:[0.5555, 0.6943], qb:[0.5555, 0.4445], phi:[0.4375]] | 2*t^2.25 + t^2.58 + t^2.63 + t^2.67 + 2*t^3. + t^3.98 + 2*t^4.31 + 3*t^4.5 + 3*t^4.65 + t^4.73 + 2*t^4.83 + 2*t^4.88 + 2*t^4.92 + 2*t^5.06 + t^5.17 + t^5.21 + 5*t^5.25 + t^5.29 + t^5.33 + t^5.48 + 2*t^5.63 - 3*t^6. - t^4.31/y - t^4.31*y | detail |