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 |
|---|---|---|---|---|---|---|---|---|---|
| 580 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ M_2\phi_1^2$ | 0.7035 | 0.8668 | 0.8116 | [X:[], M:[0.9248, 1.0251, 1.0752, 0.8746, 0.9248], q:[0.4849, 0.5904], qb:[0.4399, 0.535], phi:[0.4875]] | [X:[], M:[[6, 6], [-2, -2], [-6, -6], [10, 10], [6, 6]], q:[[4, 6], [-10, -12]], qb:[[2, 0], [0, 2]], phi:[[1, 1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_1$, $ M_5$, $ \phi_1^2$, $ q_1\tilde{q}_2$, $ M_2$, $ q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_1q_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2^2$, $ M_4^2$, $ M_1M_4$, $ M_4M_5$, $ M_1^2$, $ M_1M_5$, $ M_5^2$, $ M_4\phi_1^2$, $ M_2M_4$, $ M_1\phi_1^2$, $ M_5\phi_1^2$, $ M_5q_1\tilde{q}_2$, $ M_1M_2$, $ M_2M_5$, $ \phi_1^4$, $ M_5q_2\tilde{q}_1$, $ \phi_1^2q_1\tilde{q}_2$ | . | -3 | t^2.62 + 2*t^2.77 + t^2.92 + t^3.06 + t^3.08 + t^3.09 + t^4.1 + t^4.24 + t^4.37 + t^4.39 + t^4.52 + t^4.55 + t^4.67 + t^4.69 + t^4.84 + t^5. + t^5.25 + 2*t^5.4 + 3*t^5.55 + 3*t^5.7 + t^5.83 + 2*t^5.85 + t^5.86 + t^5.98 - 3*t^6. + t^6.02 + t^6.12 + t^6.18 - t^6.29 - t^6.32 - t^6.45 + t^6.73 + t^6.86 + 2*t^6.88 + t^7. + 2*t^7.01 + t^7.03 + 2*t^7.15 + 3*t^7.16 + t^7.19 + 3*t^7.3 + t^7.31 + t^7.33 + t^7.43 + 3*t^7.45 + t^7.48 + t^7.58 + t^7.61 + t^7.64 + t^7.73 - t^7.75 + t^7.76 + t^7.78 + t^7.87 - t^7.91 + t^7.93 + 2*t^8.02 + t^8.1 + 3*t^8.17 + t^8.2 + 5*t^8.32 + t^8.34 + 5*t^8.47 + 2*t^8.61 + t^8.62 + t^8.65 + t^8.74 + t^8.76 - 5*t^8.77 + 2*t^8.79 + 2*t^8.89 - 4*t^8.92 + t^8.94 + t^8.96 - t^4.46/y - t^7.09/y - t^7.24/y + t^7.69/y + t^7.84/y + (2*t^8.4)/y + (2*t^8.55)/y + t^8.68/y + (3*t^8.7)/y + t^8.71/y + (2*t^8.83)/y + (2*t^8.85)/y + (2*t^8.86)/y + t^8.98/y - t^4.46*y - t^7.09*y - t^7.24*y + t^7.69*y + t^7.84*y + 2*t^8.4*y + 2*t^8.55*y + t^8.68*y + 3*t^8.7*y + t^8.71*y + 2*t^8.83*y + 2*t^8.85*y + 2*t^8.86*y + t^8.98*y | g1^10*g2^10*t^2.62 + 2*g1^6*g2^6*t^2.77 + g1^2*g2^2*t^2.92 + g1^4*g2^8*t^3.06 + t^3.08/(g1^2*g2^2) + t^3.09/(g1^8*g2^12) + g1^5*g2*t^4.1 + g1^7*g2^7*t^4.24 + g1^9*g2^13*t^4.37 + g1^3*g2^3*t^4.39 + g1^5*g2^9*t^4.52 + t^4.55/(g1^7*g2^11) + g1*g2^5*t^4.67 + t^4.69/(g1^5*g2^5) + t^4.84/(g1^9*g2^9) + t^5./(g1^19*g2^23) + g1^20*g2^20*t^5.25 + 2*g1^16*g2^16*t^5.4 + 3*g1^12*g2^12*t^5.55 + 3*g1^8*g2^8*t^5.7 + g1^10*g2^14*t^5.83 + 2*g1^4*g2^4*t^5.85 + t^5.86/(g1^2*g2^6) + g1^6*g2^10*t^5.98 - 3*t^6. + t^6.02/(g1^6*g2^10) + g1^8*g2^16*t^6.12 + t^6.18/(g1^16*g2^24) - (g2^2*t^6.29)/g1^2 - t^6.32/(g1^14*g2^18) - t^6.45/(g1^12*g2^12) + g1^15*g2^11*t^6.73 + g1^17*g2^17*t^6.86 + 2*g1^11*g2^7*t^6.88 + g1^19*g2^23*t^7. + 2*g1^13*g2^13*t^7.01 + g1^7*g2^3*t^7.03 + 2*g1^15*g2^19*t^7.15 + 3*g1^9*g2^9*t^7.16 + t^7.19/(g1^3*g2^11) + 3*g1^11*g2^15*t^7.3 + g1^5*g2^5*t^7.31 + t^7.33/(g1*g2^5) + g1^13*g2^21*t^7.43 + 3*g1^7*g2^11*t^7.45 + t^7.48/(g1^5*g2^9) + g1^9*g2^17*t^7.58 + t^7.61/(g1^3*g2^3) + t^7.64/(g1^15*g2^23) + g1^5*g2^13*t^7.73 - (g2^3*t^7.75)/g1 + t^7.76/(g1^7*g2^7) + t^7.78/(g1^13*g2^17) + g1^30*g2^30*t^7.87 - t^7.91/(g1^11*g2^11) + t^7.93/(g1^17*g2^21) + 2*g1^26*g2^26*t^8.02 + t^8.1/(g1^27*g2^35) + 3*g1^22*g2^22*t^8.17 + g1^10*g2^2*t^8.2 + 5*g1^18*g2^18*t^8.32 + g1^12*g2^8*t^8.34 + 5*g1^14*g2^14*t^8.47 + 2*g1^16*g2^20*t^8.61 + g1^10*g2^10*t^8.62 + t^8.65/(g1^2*g2^10) + g1^18*g2^26*t^8.74 + g1^12*g2^16*t^8.76 - 5*g1^6*g2^6*t^8.77 + (2*t^8.79)/g2^4 + 2*g1^14*g2^22*t^8.89 - 4*g1^2*g2^2*t^8.92 + t^8.94/(g1^4*g2^8) + t^8.96/(g1^10*g2^18) - (g1*g2*t^4.46)/y - (g1^11*g2^11*t^7.09)/y - (g1^7*g2^7*t^7.24)/y + t^7.69/(g1^5*g2^5*y) + t^7.84/(g1^9*g2^9*y) + (2*g1^16*g2^16*t^8.4)/y + (2*g1^12*g2^12*t^8.55)/y + (g1^14*g2^18*t^8.68)/y + (3*g1^8*g2^8*t^8.7)/y + (g1^2*t^8.71)/(g2^2*y) + (2*g1^10*g2^14*t^8.83)/y + (2*g1^4*g2^4*t^8.85)/y + (2*t^8.86)/(g1^2*g2^6*y) + (g1^6*g2^10*t^8.98)/y - g1*g2*t^4.46*y - g1^11*g2^11*t^7.09*y - g1^7*g2^7*t^7.24*y + (t^7.69*y)/(g1^5*g2^5) + (t^7.84*y)/(g1^9*g2^9) + 2*g1^16*g2^16*t^8.4*y + 2*g1^12*g2^12*t^8.55*y + g1^14*g2^18*t^8.68*y + 3*g1^8*g2^8*t^8.7*y + (g1^2*t^8.71*y)/g2^2 + 2*g1^10*g2^14*t^8.83*y + 2*g1^4*g2^4*t^8.85*y + (2*t^8.86*y)/(g1^2*g2^6) + g1^6*g2^10*t^8.98*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 |
|---|---|---|---|---|---|---|---|---|
| 898 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ M_2\phi_1^2$ + $ M_2M_6$ | 0.7059 | 0.8716 | 0.8099 | [X:[], M:[0.9177, 1.0274, 1.0823, 0.8628, 0.9177, 0.9726], q:[0.4832, 0.5991], qb:[0.4345, 0.5381], phi:[0.4863]] | t^2.59 + 2*t^2.75 + 2*t^2.92 + t^3.06 + t^3.1 + t^4.07 + t^4.21 + t^4.36 + t^4.38 + t^4.52 + t^4.56 + t^4.69 + t^4.71 + t^4.87 + t^5.05 + t^5.18 + 2*t^5.34 + 4*t^5.51 + 4*t^5.67 + t^5.82 + 2*t^5.84 + t^5.85 + 2*t^5.98 - 4*t^6. - t^4.46/y - t^4.46*y | detail | |
| 896 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ M_2\phi_1^2$ + $ M_5q_1\tilde{q}_2$ | 0.7014 | 0.8635 | 0.8123 | [X:[], M:[0.9379, 1.0207, 1.0621, 0.8965, 0.9379], q:[0.5103, 0.5517], qb:[0.4276, 0.5517], phi:[0.4897]] | t^2.69 + 2*t^2.81 + 2*t^2.94 + t^3.06 + t^3.19 + t^4.03 + t^4.28 + 2*t^4.41 + t^4.53 + 2*t^4.66 + 3*t^4.78 + t^5.38 + 2*t^5.5 + 3*t^5.63 + 4*t^5.75 + 4*t^5.88 - 2*t^6. - t^4.47/y - t^4.47*y | detail | |
| 899 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ M_2\phi_1^2$ + $ M_5q_2\tilde{q}_1$ | 0.702 | 0.8645 | 0.812 | [X:[], M:[0.933, 1.0223, 1.067, 0.8883, 0.933], q:[0.4665, 0.6005], qb:[0.4665, 0.5112], phi:[0.4888]] | t^2.66 + 2*t^2.8 + 2*t^2.93 + t^3.07 + t^3.2 + 3*t^4.27 + 2*t^4.4 + t^4.53 + 2*t^4.67 + t^4.8 + t^5.07 + t^5.33 + 2*t^5.46 + 3*t^5.6 + 4*t^5.73 + 4*t^5.87 - 2*t^6. - t^4.47/y - t^4.47*y | detail | |
| 900 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ M_2\phi_1^2$ + $ M_6\phi_1^2$ | 0.7013 | 0.8625 | 0.8131 | [X:[], M:[0.9319, 1.0227, 1.0681, 0.8864, 0.9319, 1.0227], q:[0.4865, 0.5816], qb:[0.4453, 0.532], phi:[0.4886]] | t^2.66 + 2*t^2.8 + t^3.06 + 2*t^3.07 + t^3.08 + t^4.14 + t^4.26 + t^4.39 + t^4.4 + t^4.52 + t^4.55 + t^4.66 + t^4.67 + t^4.81 + t^4.96 + t^5.32 + 2*t^5.45 + 2*t^5.59 + 2*t^5.73 + t^5.85 + 3*t^5.86 + t^5.88 - 4*t^6. - t^4.47/y - t^4.47*y | detail | |
| 1918 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ M_2\phi_1^2$ + $ \phi_1q_2^2$ | 0.6746 | 0.8467 | 0.7967 | [X:[], M:[0.831, 1.0563, 1.169, 0.7183, 0.831], q:[0.4049, 0.7641], qb:[0.426, 0.5176], phi:[0.4718]] | t^2.15 + 2*t^2.49 + t^2.77 + t^2.83 + t^3.17 + t^3.57 + t^3.85 + t^3.91 + t^3.97 + t^4.18 + t^4.25 + t^4.31 + t^4.52 + 2*t^4.65 + t^4.92 + 4*t^4.99 + 2*t^5.26 + 3*t^5.32 + t^5.54 + t^5.6 + 2*t^5.66 - t^6. - t^4.42/y - t^4.42*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 |
|---|---|---|---|---|---|---|---|---|---|
| 365 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ | 0.7284 | 0.8958 | 0.8131 | [X:[], M:[0.9752, 0.8187, 1.0248, 0.7691, 0.9752], q:[0.4541, 0.5707], qb:[0.5212, 0.6602], phi:[0.4485]] | t^2.31 + t^2.46 + t^2.69 + 2*t^2.93 + t^3.28 + t^3.34 + t^4.07 + t^4.27 + t^4.42 + t^4.47 + t^4.61 + t^4.62 + t^4.69 + t^4.76 + t^4.77 + t^4.89 + t^4.91 + t^5. + t^5.04 + t^5.15 + 2*t^5.23 + t^5.31 + 2*t^5.38 + 2*t^5.62 + 2*t^5.85 + t^5.97 - 4*t^6. - t^4.35/y - t^4.35*y | detail |