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 |
|---|---|---|---|---|---|---|---|---|---|
| 1263 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_2X_1$ + $ \phi_1^2X_2$ + $ M_4M_5$ + $ M_1^2$ + $ M_6\phi_1\tilde{q}_1\tilde{q}_2$ | 0.5637 | 0.6887 | 0.8185 | [X:[1.6577, 1.3155], M:[1.0, 0.3423, 0.7113, 1.0268, 0.9732, 0.6845], q:[0.6845, 0.9732], qb:[0.3155, 0.6577], phi:[0.3423]] | [X:[[1], [2]], M:[[0], [-1], [-5], [-3], [3], [-2]], q:[[-2], [3]], qb:[[2], [1]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_3$, $ M_5$, $ \tilde{q}_1\tilde{q}_2$, $ M_1$, $ X_2$, $ q_1\tilde{q}_2$, $ M_6^2$, $ M_3M_6$, $ M_3^2$, $ q_2\tilde{q}_2$, $ M_5M_6$, $ q_1q_2$, $ M_6\tilde{q}_1\tilde{q}_2$, $ X_1$, $ M_3M_5$, $ M_1M_6$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_1M_3$, $ M_5^2$, $ M_5\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_1M_5$, $ M_1\tilde{q}_1\tilde{q}_2$ | $M_6X_2$ | -2 | t^2.05 + t^2.13 + 2*t^2.92 + t^3. + t^3.95 + t^4.03 + t^4.11 + t^4.19 + t^4.27 + t^4.89 + 3*t^4.97 + 2*t^5.05 + t^5.13 + 3*t^5.84 + t^5.92 - 2*t^6. + 2*t^6.16 + t^6.24 + t^6.32 + t^6.4 + t^6.87 + t^6.95 + 2*t^7.03 + 2*t^7.11 + 2*t^7.19 + t^7.27 + t^7.81 + 3*t^7.89 + t^7.97 - 2*t^8.13 + t^8.21 + 2*t^8.29 + t^8.37 + t^8.46 + t^8.54 + 4*t^8.76 - 5*t^8.92 - t^4.03/y - t^6.08/y - t^6.16/y + t^7.19/y + t^7.89/y + (3*t^7.97)/y + (3*t^8.05)/y - t^8.21/y - t^8.29/y + t^8.84/y + (2*t^8.92)/y - t^4.03*y - t^6.08*y - t^6.16*y + t^7.19*y + t^7.89*y + 3*t^7.97*y + 3*t^8.05*y - t^8.21*y - t^8.29*y + t^8.84*y + 2*t^8.92*y | t^2.05/g1^2 + t^2.13/g1^5 + 2*g1^3*t^2.92 + t^3. + g1^2*t^3.95 + t^4.03/g1 + t^4.11/g1^4 + t^4.19/g1^7 + t^4.27/g1^10 + g1^4*t^4.89 + 3*g1*t^4.97 + (2*t^5.05)/g1^2 + t^5.13/g1^5 + 3*g1^6*t^5.84 + g1^3*t^5.92 - 2*t^6. + (2*t^6.16)/g1^6 + t^6.24/g1^9 + t^6.32/g1^12 + t^6.4/g1^15 + g1^5*t^6.87 + g1^2*t^6.95 + (2*t^7.03)/g1 + (2*t^7.11)/g1^4 + (2*t^7.19)/g1^7 + t^7.27/g1^10 + g1^7*t^7.81 + 3*g1^4*t^7.89 + g1*t^7.97 - (2*t^8.13)/g1^5 + t^8.21/g1^8 + (2*t^8.29)/g1^11 + t^8.37/g1^14 + t^8.46/g1^17 + t^8.54/g1^20 + 4*g1^9*t^8.76 - 5*g1^3*t^8.92 - t^4.03/(g1*y) - t^6.08/(g1^3*y) - t^6.16/(g1^6*y) + t^7.19/(g1^7*y) + (g1^4*t^7.89)/y + (3*g1*t^7.97)/y + (3*t^8.05)/(g1^2*y) - t^8.21/(g1^8*y) - t^8.29/(g1^11*y) + (g1^6*t^8.84)/y + (2*g1^3*t^8.92)/y - (t^4.03*y)/g1 - (t^6.08*y)/g1^3 - (t^6.16*y)/g1^6 + (t^7.19*y)/g1^7 + g1^4*t^7.89*y + 3*g1*t^7.97*y + (3*t^8.05*y)/g1^2 - (t^8.21*y)/g1^8 - (t^8.29*y)/g1^11 + g1^6*t^8.84*y + 2*g1^3*t^8.92*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 |
|---|---|---|---|---|---|---|---|---|
| 2315 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_2X_1$ + $ \phi_1^2X_2$ + $ M_4M_5$ + $ M_1^2$ + $ M_6\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_3M_7$ | 0.5438 | 0.6527 | 0.8332 | [X:[1.6516, 1.3032], M:[1.0, 0.3484, 0.742, 1.0452, 0.9548, 0.6968, 1.258], q:[0.6968, 0.9548], qb:[0.3032, 0.6516], phi:[0.3484]] | t^2.09 + 2*t^2.86 + t^3. + t^3.77 + t^3.91 + t^4.05 + t^4.18 + t^4.82 + 3*t^4.95 + 3*t^5.73 + 2*t^5.86 - 2*t^6. - t^4.05/y - t^4.05*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 |
|---|---|---|---|---|---|---|---|---|---|
| 777 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_2X_1$ + $ \phi_1^2X_2$ + $ M_4M_5$ + $ M_1^2$ | 0.543 | 0.6484 | 0.8375 | [X:[1.6571, 1.3141], M:[1.0, 0.3429, 0.7147, 1.0288, 0.9712], q:[0.6859, 0.9712], qb:[0.3141, 0.6571], phi:[0.3429]] | t^2.14 + 2*t^2.91 + t^3. + 2*t^3.94 + t^4.03 + t^4.29 + t^4.88 + t^4.97 + t^5.06 + t^5.14 + 3*t^5.83 + t^5.91 - 3*t^6. - t^4.03/y - t^4.03*y | detail |