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 |
|---|---|---|---|---|---|---|---|---|---|
| 2893 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_4\phi_1q_2^2$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6q_1\tilde{q}_1$ + $ M_5q_1\tilde{q}_2$ | 0.6266 | 0.8141 | 0.7697 | [X:[], M:[1.0, 1.0275, 0.945, 1.0275, 0.7294, 0.7019], q:[0.7569, 0.2431], qb:[0.5413, 0.5138], phi:[0.4862]] | [X:[], M:[[0], [4], [-8], [4], [-3], [-7]], q:[[1], [-1]], qb:[[6], [2]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_5$, $ q_2\tilde{q}_2$, $ q_2\tilde{q}_1$, $ M_3$, $ M_1$, $ M_2$, $ M_4$, $ \phi_1q_2\tilde{q}_2$, $ q_1\tilde{q}_2$, $ M_6^2$, $ M_5M_6$, $ M_5^2$, $ M_6q_2\tilde{q}_2$, $ \phi_1q_1q_2$, $ M_6q_2\tilde{q}_1$, $ M_5q_2\tilde{q}_2$, $ M_5q_2\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ q_2^2\tilde{q}_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ q_2^2\tilde{q}_1^2$, $ M_3M_6$, $ M_3M_5$, $ M_1M_6$, $ M_1M_5$, $ M_2M_6$, $ M_4M_6$, $ M_2M_5$, $ M_4M_5$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ M_2q_2\tilde{q}_2$, $ M_4q_2\tilde{q}_2$, $ M_2q_2\tilde{q}_1$, $ M_4q_2\tilde{q}_1$, $ M_3^2$, $ M_1M_3$, $ M_6\phi_1q_2\tilde{q}_2$, $ M_2M_3$, $ M_3M_4$, $ M_6q_1\tilde{q}_2$, $ M_5\phi_1q_2\tilde{q}_2$ | $\phi_1q_2^2\tilde{q}_2^2$ | -1 | t^2.11 + t^2.19 + t^2.27 + t^2.35 + t^2.83 + t^3. + 2*t^3.08 + t^3.73 + t^3.81 + t^4.21 + t^4.29 + 2*t^4.38 + 2*t^4.46 + 3*t^4.54 + 2*t^4.62 + 2*t^4.71 + t^4.94 + t^5.02 + t^5.11 + 3*t^5.19 + 3*t^5.27 + 3*t^5.35 + 2*t^5.44 + t^5.67 + 2*t^5.83 + 2*t^5.92 - t^6. + 2*t^6.08 + 3*t^6.17 + t^6.32 + t^6.4 + 2*t^6.48 + 3*t^6.56 + 3*t^6.65 + 3*t^6.73 + 5*t^6.81 + 4*t^6.89 + 2*t^6.98 + t^7.05 + 2*t^7.06 + t^7.13 + 2*t^7.21 + 3*t^7.29 + 4*t^7.38 + 4*t^7.46 + 4*t^7.54 + 5*t^7.62 + 4*t^7.71 + t^7.78 + 3*t^7.79 + t^7.86 + 2*t^7.94 + 3*t^8.02 - t^8.19 + t^8.27 + t^8.35 + t^8.42 + 3*t^8.44 + 2*t^8.5 + 3*t^8.52 + 2*t^8.59 + 4*t^8.67 + 5*t^8.75 + t^8.83 + 5*t^8.92 - t^4.46/y - t^6.56/y - t^6.65/y + (2*t^7.38)/y + (2*t^7.46)/y + (2*t^7.62)/y + t^7.94/y + t^8.02/y + (2*t^8.11)/y + (4*t^8.19)/y + (4*t^8.27)/y + (4*t^8.35)/y + (2*t^8.44)/y - t^8.67/y - t^8.75/y + t^8.83/y + (4*t^8.92)/y - t^4.46*y - t^6.56*y - t^6.65*y + 2*t^7.38*y + 2*t^7.46*y + 2*t^7.62*y + t^7.94*y + t^8.02*y + 2*t^8.11*y + 4*t^8.19*y + 4*t^8.27*y + 4*t^8.35*y + 2*t^8.44*y - t^8.67*y - t^8.75*y + t^8.83*y + 4*t^8.92*y | t^2.11/g1^7 + t^2.19/g1^3 + g1*t^2.27 + g1^5*t^2.35 + t^2.83/g1^8 + t^3. + 2*g1^4*t^3.08 + t^3.73/g1 + g1^3*t^3.81 + t^4.21/g1^14 + t^4.29/g1^10 + (2*t^4.38)/g1^6 + (2*t^4.46)/g1^2 + 3*g1^2*t^4.54 + 2*g1^6*t^4.62 + 2*g1^10*t^4.71 + t^4.94/g1^15 + t^5.02/g1^11 + t^5.11/g1^7 + (3*t^5.19)/g1^3 + 3*g1*t^5.27 + 3*g1^5*t^5.35 + 2*g1^9*t^5.44 + t^5.67/g1^16 + (2*t^5.83)/g1^8 + (2*t^5.92)/g1^4 - t^6. + 2*g1^4*t^6.08 + 3*g1^8*t^6.17 + t^6.32/g1^21 + t^6.4/g1^17 + (2*t^6.48)/g1^13 + (3*t^6.56)/g1^9 + (3*t^6.65)/g1^5 + (3*t^6.73)/g1 + 5*g1^3*t^6.81 + 4*g1^7*t^6.89 + 2*g1^11*t^6.98 + t^7.05/g1^22 + 2*g1^15*t^7.06 + t^7.13/g1^18 + (2*t^7.21)/g1^14 + (3*t^7.29)/g1^10 + (4*t^7.38)/g1^6 + (4*t^7.46)/g1^2 + 4*g1^2*t^7.54 + 5*g1^6*t^7.62 + 4*g1^10*t^7.71 + t^7.78/g1^23 + 3*g1^14*t^7.79 + t^7.86/g1^19 + (2*t^7.94)/g1^15 + (3*t^8.02)/g1^11 - t^8.19/g1^3 + g1*t^8.27 + g1^5*t^8.35 + t^8.42/g1^28 + 3*g1^9*t^8.44 + (2*t^8.5)/g1^24 + 3*g1^13*t^8.52 + (2*t^8.59)/g1^20 + (4*t^8.67)/g1^16 + (5*t^8.75)/g1^12 + t^8.83/g1^8 + (5*t^8.92)/g1^4 - t^4.46/(g1^2*y) - t^6.56/(g1^9*y) - t^6.65/(g1^5*y) + (2*t^7.38)/(g1^6*y) + (2*t^7.46)/(g1^2*y) + (2*g1^6*t^7.62)/y + t^7.94/(g1^15*y) + t^8.02/(g1^11*y) + (2*t^8.11)/(g1^7*y) + (4*t^8.19)/(g1^3*y) + (4*g1*t^8.27)/y + (4*g1^5*t^8.35)/y + (2*g1^9*t^8.44)/y - t^8.67/(g1^16*y) - t^8.75/(g1^12*y) + t^8.83/(g1^8*y) + (4*t^8.92)/(g1^4*y) - (t^4.46*y)/g1^2 - (t^6.56*y)/g1^9 - (t^6.65*y)/g1^5 + (2*t^7.38*y)/g1^6 + (2*t^7.46*y)/g1^2 + 2*g1^6*t^7.62*y + (t^7.94*y)/g1^15 + (t^8.02*y)/g1^11 + (2*t^8.11*y)/g1^7 + (4*t^8.19*y)/g1^3 + 4*g1*t^8.27*y + 4*g1^5*t^8.35*y + 2*g1^9*t^8.44*y - (t^8.67*y)/g1^16 - (t^8.75*y)/g1^12 + (t^8.83*y)/g1^8 + (4*t^8.92*y)/g1^4 |
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 |
|---|---|---|---|---|---|---|---|---|
| 3466 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_4\phi_1q_2^2$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6q_1\tilde{q}_1$ + $ M_5q_1\tilde{q}_2$ + $ M_3M_7$ | 0.624 | 0.8116 | 0.7689 | [X:[], M:[1.0, 0.9996, 1.0009, 0.9996, 0.7503, 0.7508, 0.9991], q:[0.7499, 0.2501], qb:[0.4993, 0.4998], phi:[0.5002]] | 4*t^2.25 + 4*t^3. + 2*t^3.75 + 13*t^4.5 + 14*t^5.25 + t^5.99 + 8*t^6. - t^4.5/y - t^4.5*y | detail | |
| 3467 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_4\phi_1q_2^2$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6q_1\tilde{q}_1$ + $ M_5q_1\tilde{q}_2$ + $ M_5M_7$ | 0.6068 | 0.7776 | 0.7804 | [X:[], M:[1.0, 1.0238, 0.9523, 1.0238, 0.7321, 0.7083, 1.2679], q:[0.756, 0.244], qb:[0.5358, 0.5119], phi:[0.4881]] | t^2.12 + t^2.27 + t^2.34 + t^2.86 + t^3. + 2*t^3.07 + t^3.73 + 2*t^3.8 + t^4.25 + t^4.39 + t^4.46 + 2*t^4.54 + 2*t^4.61 + 2*t^4.68 + t^4.98 + t^5.12 + 2*t^5.2 + t^5.27 + 3*t^5.34 + 2*t^5.41 + t^5.71 + 2*t^5.86 + 2*t^5.93 - 2*t^6. - t^4.46/y - t^4.46*y | detail | |
| 3468 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_4\phi_1q_2^2$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6q_1\tilde{q}_1$ + $ M_5q_1\tilde{q}_2$ + $ M_7q_1\tilde{q}_2$ | 0.6464 | 0.851 | 0.7596 | [X:[], M:[1.0, 1.0309, 0.9383, 1.0309, 0.7268, 0.696, 0.7268], q:[0.7577, 0.2423], qb:[0.5463, 0.5154], phi:[0.4846]] | t^2.09 + 2*t^2.18 + t^2.27 + t^2.37 + t^2.81 + t^3. + 2*t^3.09 + t^3.73 + t^4.18 + 2*t^4.27 + 4*t^4.36 + 3*t^4.45 + 4*t^4.55 + 2*t^4.64 + 2*t^4.73 + t^4.9 + 2*t^5. + t^5.09 + 4*t^5.18 + 5*t^5.27 + 3*t^5.37 + 2*t^5.46 + t^5.63 + 2*t^5.81 + 2*t^5.91 - 2*t^6. - t^4.45/y - t^4.45*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1878 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_4\phi_1q_2^2$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6q_1\tilde{q}_1$ | 0.6266 | 0.8144 | 0.7694 | [X:[], M:[1.0, 1.0266, 0.9468, 1.0266, 0.7278, 0.7012], q:[0.7567, 0.2433], qb:[0.5421, 0.5111], phi:[0.4867]] | t^2.1 + t^2.18 + t^2.26 + t^2.36 + t^2.84 + t^3. + 2*t^3.08 + t^3.72 + t^3.8 + t^4.21 + t^4.29 + 2*t^4.37 + t^4.45 + t^4.46 + 2*t^4.53 + t^4.54 + 2*t^4.62 + 2*t^4.71 + t^4.94 + t^5.02 + t^5.1 + 3*t^5.18 + 3*t^5.26 + 2*t^5.34 + t^5.36 + 2*t^5.44 + t^5.68 + t^5.83 + t^5.84 + t^5.91 + t^5.92 + 2*t^5.99 - 3*t^6. - t^4.46/y - t^4.46*y | detail |