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 |
|---|---|---|---|---|---|---|---|---|---|
| 46450 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_2^2$ | 0.7203 | 0.8855 | 0.8134 | [X:[], M:[0.9769, 1.0, 1.0231, 0.8402, 0.8171], q:[0.4201, 0.603], qb:[0.5799, 0.5568], phi:[0.4601]] | [X:[], M:[[-2, 1], [0, 0], [2, -1], [-4, 0], [-6, 1]], q:[[-2, 0], [4, -1]], qb:[[2, 0], [0, 1]], phi:[[-1, 0]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_4$, $ \phi_1^2$, $ M_1$, $ M_2$, $ M_3$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_5^2$, $ \phi_1q_2\tilde{q}_1$, $ M_4M_5$, $ \phi_1q_2^2$, $ M_4^2$, $ M_5\phi_1^2$, $ M_4\phi_1^2$, $ M_1M_5$, $ M_1M_4$, $ M_2M_5$, $ M_2M_4$, $ M_3M_5$, $ \phi_1^4$, $ M_1\phi_1^2$, $ M_2\phi_1^2$, $ M_3\phi_1^2$, $ M_1^2$, $ M_5\tilde{q}_1\tilde{q}_2$ | . | -2 | t^2.45 + t^2.52 + t^2.76 + t^2.93 + t^3. + t^3.07 + t^3.41 + t^3.9 + t^4.31 + t^4.38 + t^4.45 + t^4.72 + t^4.79 + 2*t^4.86 + t^4.9 + t^4.93 + t^4.97 + t^5. + t^5.04 + t^5.21 + t^5.28 + t^5.38 + t^5.45 + 2*t^5.52 + t^5.69 + t^5.76 + t^5.83 + t^5.86 - 2*t^6. - t^6.07 + t^6.17 + t^6.34 + t^6.35 + t^6.42 - t^6.48 - t^6.55 + t^6.66 + t^6.76 + t^6.82 + 2*t^6.83 + 2*t^6.9 + t^6.97 + t^7.07 + t^7.17 + t^7.21 + 2*t^7.24 + 3*t^7.31 + t^7.35 + 2*t^7.38 + t^7.42 + t^7.45 + t^7.48 + t^7.49 + t^7.52 + t^7.56 + t^7.62 + t^7.65 + t^7.66 + 2*t^7.72 + t^7.73 + t^7.76 + 2*t^7.79 + 2*t^7.8 + t^7.83 + t^7.86 + t^7.9 + t^7.93 - t^7.96 + 2*t^7.97 + t^8. - t^8.03 + t^8.04 + t^8.07 - 2*t^8.1 + t^8.13 + t^8.14 - t^8.17 + t^8.2 + 2*t^8.21 - t^8.24 + t^8.27 + 3*t^8.28 + t^8.31 + t^8.35 - 2*t^8.45 - 3*t^8.52 - t^8.59 + 2*t^8.62 + t^8.69 + t^8.79 + t^8.8 - t^8.86 + t^8.87 + t^8.9 - 4*t^8.93 + t^8.94 - t^4.38/y - t^6.83/y - t^6.9/y - t^7.14/y + t^7.62/y + t^7.86/y + t^7.93/y + t^7.97/y + t^8.21/y + t^8.28/y + t^8.38/y + (2*t^8.45)/y + (2*t^8.52)/y + t^8.59/y + t^8.69/y + t^8.76/y + t^8.83/y + t^8.86/y + (2*t^8.93)/y - t^4.38*y - t^6.83*y - t^6.9*y - t^7.14*y + t^7.62*y + t^7.86*y + t^7.93*y + t^7.97*y + t^8.21*y + t^8.28*y + t^8.38*y + 2*t^8.45*y + 2*t^8.52*y + t^8.59*y + t^8.69*y + t^8.76*y + t^8.83*y + t^8.86*y + 2*t^8.93*y | (g2*t^2.45)/g1^6 + t^2.52/g1^4 + t^2.76/g1^2 + (g2*t^2.93)/g1^2 + t^3. + (g1^2*t^3.07)/g2 + g1^2*g2*t^3.41 + t^3.9/g1^5 + (g2*t^4.31)/g1^3 + t^4.38/g1 + (g1*t^4.45)/g2 + (g2^2*t^4.72)/g1 + g1*g2*t^4.79 + 2*g1^3*t^4.86 + (g2^2*t^4.9)/g1^12 + (g1^5*t^4.93)/g2 + (g2*t^4.97)/g1^10 + (g1^7*t^5.)/g2^2 + t^5.04/g1^8 + (g2*t^5.21)/g1^8 + t^5.28/g1^6 + (g2^2*t^5.38)/g1^8 + (g2*t^5.45)/g1^6 + (2*t^5.52)/g1^4 + (g2*t^5.69)/g1^4 + t^5.76/g1^2 + t^5.83/g2 + (g2^2*t^5.86)/g1^4 - 2*t^6. - (g1^2*t^6.07)/g2 + g2*t^6.17 + g2^2*t^6.34 + (g2*t^6.35)/g1^11 + t^6.42/g1^9 - g1^4*t^6.48 - (g1^6*t^6.55)/g2 + t^6.66/g1^7 + (g2^2*t^6.76)/g1^9 + g1^4*g2^2*t^6.82 + (2*g2*t^6.83)/g1^7 + (2*t^6.9)/g1^5 + t^6.97/(g1^3*g2) + (g2*t^7.07)/g1^5 + (g2^3*t^7.17)/g1^7 + t^7.21/(g1*g2) + (2*g2^2*t^7.24)/g1^5 + (3*g2*t^7.31)/g1^3 + (g2^3*t^7.35)/g1^18 + (2*t^7.38)/g1 + (g2^2*t^7.42)/g1^16 + (g1*t^7.45)/g2 + (g2^2*t^7.48)/g1^3 + (g2*t^7.49)/g1^14 + (g1^3*t^7.52)/g2^2 + t^7.56/g1^12 + g1*t^7.62 + (g2^3*t^7.65)/g1^3 + (g2^2*t^7.66)/g1^14 + (2*g2^2*t^7.72)/g1 + (g2*t^7.73)/g1^12 + (g1^5*t^7.76)/g2^2 + 2*g1*g2*t^7.79 + (2*t^7.8)/g1^10 + (g2^3*t^7.83)/g1^14 + g1^3*t^7.86 + (g2^2*t^7.9)/g1^12 + (g1^5*t^7.93)/g2 - g1*g2^2*t^7.96 + (2*g2*t^7.97)/g1^10 + (g1^7*t^8.)/g2^2 - g1^3*g2*t^8.03 + t^8.04/g1^8 + (g1^9*t^8.07)/g2^3 - 2*g1^5*t^8.1 + g1*g2^3*t^8.13 + (g2^2*t^8.14)/g1^10 - (g1^7*t^8.17)/g2 + g1^3*g2^2*t^8.2 + (2*g2*t^8.21)/g1^8 - (g1^9*t^8.24)/g2^2 + g1^5*g2*t^8.27 + (3*t^8.28)/g1^6 + (g2^3*t^8.31)/g1^10 + t^8.35/(g1^4*g2) - (2*g2*t^8.45)/g1^6 - (3*t^8.52)/g1^4 - t^8.59/(g1^2*g2) + (2*g2^2*t^8.62)/g1^6 + (g2*t^8.69)/g1^4 + (g2^3*t^8.79)/g1^6 + (g2^2*t^8.8)/g1^17 - (g2^2*t^8.86)/g1^4 + (g2*t^8.87)/g1^15 + (g1^2*t^8.9)/g2^2 - (4*g2*t^8.93)/g1^2 + t^8.94/g1^13 - t^4.38/(g1*y) - (g2*t^6.83)/(g1^7*y) - t^6.9/(g1^5*y) - t^7.14/(g1^3*y) + (g1*t^7.62)/y + (g1^3*t^7.86)/y + (g1^5*t^7.93)/(g2*y) + (g2*t^7.97)/(g1^10*y) + (g2*t^8.21)/(g1^8*y) + t^8.28/(g1^6*y) + (g2^2*t^8.38)/(g1^8*y) + (2*g2*t^8.45)/(g1^6*y) + (2*t^8.52)/(g1^4*y) + t^8.59/(g1^2*g2*y) + (g2*t^8.69)/(g1^4*y) + t^8.76/(g1^2*y) + t^8.83/(g2*y) + (g2^2*t^8.86)/(g1^4*y) + (2*g2*t^8.93)/(g1^2*y) - (t^4.38*y)/g1 - (g2*t^6.83*y)/g1^7 - (t^6.9*y)/g1^5 - (t^7.14*y)/g1^3 + g1*t^7.62*y + g1^3*t^7.86*y + (g1^5*t^7.93*y)/g2 + (g2*t^7.97*y)/g1^10 + (g2*t^8.21*y)/g1^8 + (t^8.28*y)/g1^6 + (g2^2*t^8.38*y)/g1^8 + (2*g2*t^8.45*y)/g1^6 + (2*t^8.52*y)/g1^4 + (t^8.59*y)/(g1^2*g2) + (g2*t^8.69*y)/g1^4 + (t^8.76*y)/g1^2 + (t^8.83*y)/g2 + (g2^2*t^8.86*y)/g1^4 + (2*g2*t^8.93*y)/g1^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 48220 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_2^2$ + $ M_1M_6$ | 0.7195 | 0.8834 | 0.8145 | [X:[], M:[1.0073, 1.0, 0.9927, 0.8368, 0.844, 0.9927], q:[0.4184, 0.5744], qb:[0.5816, 0.5889], phi:[0.4592]] | t^2.51 + t^2.53 + t^2.76 + 2*t^2.98 + t^3. + t^3.51 + t^3.89 + t^4.36 + t^4.38 + t^4.4 + t^4.82 + t^4.85 + 2*t^4.87 + t^4.89 + t^4.91 + t^5.02 + t^5.04 + t^5.06 + t^5.27 + t^5.29 + t^5.49 + 3*t^5.51 + 2*t^5.73 + t^5.76 + 2*t^5.96 - 3*t^6. - t^4.38/y - t^4.38*y | detail | |
| 47133 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_2^2$ + $ M_4M_5$ | 0.6921 | 0.8476 | 0.8165 | [X:[], M:[1.0193, 1.0, 0.9807, 0.9903, 1.0097], q:[0.4952, 0.4855], qb:[0.5048, 0.5242], phi:[0.4976]] | t^2.94 + t^2.97 + t^2.99 + t^3. + t^3.03 + t^3.06 + t^3.09 + t^4.41 + t^4.43 + 2*t^4.46 + t^4.49 + 2*t^4.52 + t^4.55 + t^4.58 + t^4.64 + t^5.93 + t^5.96 + t^5.97 + t^5.99 - t^6. - t^4.49/y - t^4.49*y | detail | |
| 48144 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_2^2$ + $ M_5\phi_1^2$ | 0.6934 | 0.8487 | 0.8171 | [X:[], M:[1.0315, 1.0, 0.9685, 0.979, 1.0105], q:[0.4895, 0.479], qb:[0.5105, 0.542], phi:[0.4948]] | t^2.91 + t^2.94 + t^2.97 + t^3. + t^3.03 + t^3.09 + t^3.16 + t^4.36 + t^4.39 + t^4.42 + t^4.45 + t^4.48 + 2*t^4.55 + t^4.58 + t^4.64 + t^4.74 + 2*t^5.87 + 2*t^5.94 + t^5.97 - t^6. - t^4.48/y - t^4.48*y | detail | |
| 46969 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_2^2$ + $ M_5^2$ | 0.6971 | 0.8526 | 0.8176 | [X:[], M:[1.0481, 1.0, 0.9519, 0.9519, 1.0], q:[0.476, 0.476], qb:[0.524, 0.5721], phi:[0.488]] | 2*t^2.86 + t^2.93 + 2*t^3. + t^3.14 + t^3.29 + 3*t^4.32 + 2*t^4.46 + 3*t^4.61 + t^4.75 + t^4.9 + t^5.71 + 2*t^5.78 + 2*t^5.86 + 2*t^5.93 - t^6. - t^4.46/y - t^4.46*y | detail | |
| 47098 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_2^2$ + $ M_6\phi_1q_1^2$ | 0.7409 | 0.9251 | 0.8009 | [X:[], M:[0.9764, 1.0, 1.0236, 0.8474, 0.8238, 0.6908], q:[0.4237, 0.5999], qb:[0.5763, 0.5527], phi:[0.4618]] | t^2.07 + t^2.47 + t^2.54 + t^2.77 + t^2.93 + t^3. + t^3.07 + t^3.39 + t^4.14 + t^4.31 + t^4.39 + t^4.46 + t^4.54 + t^4.61 + t^4.7 + t^4.77 + 3*t^4.84 + t^4.91 + t^4.94 + t^4.99 + t^5. + t^5.01 + t^5.07 + t^5.08 + t^5.14 + t^5.24 + t^5.31 + t^5.4 + t^5.46 + t^5.47 + 2*t^5.54 + t^5.7 + t^5.77 + t^5.84 + t^5.86 - 2*t^6. - t^4.39/y - t^4.39*y | detail | |
| 46965 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_2^2$ + $ M_6\phi_1^2$ | 0.7134 | 0.8733 | 0.8168 | [X:[], M:[0.9756, 1.0, 1.0244, 0.86, 0.8356, 1.07], q:[0.43, 0.5944], qb:[0.57, 0.5455], phi:[0.465]] | t^2.51 + t^2.58 + t^2.93 + t^3. + t^3.07 + t^3.21 + t^3.35 + t^3.98 + t^4.32 + t^4.4 + t^4.47 + t^4.67 + t^4.74 + 2*t^4.81 + t^4.89 + t^4.96 + t^5.01 + t^5.09 + t^5.16 + t^5.43 + t^5.51 + t^5.58 + t^5.72 + t^5.79 + t^5.85 - 2*t^6. - t^4.4/y - t^4.4*y | detail | |
| 46830 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_2^2$ + $ \phi_1\tilde{q}_2^2$ | 0.6696 | 0.8291 | 0.8076 | [X:[], M:[1.1494, 1.0, 0.8506, 0.7316, 0.881], q:[0.3658, 0.4848], qb:[0.6342, 0.7835], phi:[0.4329]] | t^2.19 + t^2.55 + t^2.6 + t^2.64 + t^3. + t^3.45 + t^3.49 + t^3.85 + t^4.21 + t^4.25 + t^4.3 + t^4.39 + t^4.66 + t^4.75 + t^4.79 + t^4.84 + 2*t^5.1 + t^5.15 + 2*t^5.19 + t^5.24 + t^5.29 + t^5.6 + t^5.64 + t^5.69 - t^6. - t^4.3/y - t^4.3*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46128 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ | 0.7297 | 0.8972 | 0.8133 | [X:[], M:[0.9845, 0.8794, 1.0155, 0.9008, 0.7647], q:[0.4504, 0.5651], qb:[0.6702, 0.5341], phi:[0.445]] | t^2.29 + t^2.64 + t^2.67 + t^2.7 + t^2.95 + t^3.05 + t^3.61 + t^4.04 + t^4.29 + t^4.38 + t^4.54 + t^4.59 + t^4.63 + t^4.7 + t^4.73 + t^4.93 + t^4.95 + t^4.96 + t^5. + t^5.04 + t^5.25 + t^5.28 + t^5.31 + 2*t^5.34 + t^5.36 + t^5.37 + t^5.4 + t^5.62 + t^5.72 + t^5.91 - 3*t^6. - t^4.34/y - t^4.34*y | detail |