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 |
|---|---|---|---|---|---|---|---|---|---|
| 1322 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_1^2$ + $ M_5^2$ | 0.695 | 0.8495 | 0.8181 | [X:[], M:[1.0, 1.0186, 0.9627, 0.9627, 1.0, 1.0373], q:[0.5373, 0.4627], qb:[0.5, 0.5373], phi:[0.4907]] | [X:[], M:[[0], [2], [-4], [-4], [0], [4]], q:[[4], [-4]], qb:[[0], [4]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ M_4$, $ M_1$, $ M_5$, $ M_2$, $ M_6$, $ q_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_3^2$, $ M_3M_4$, $ M_4^2$, $ M_1M_3$, $ M_1M_4$, $ M_3M_5$, $ M_4M_5$, $ M_2M_3$, $ M_2M_4$ | $M_1M_5$, $ M_3M_6$ | -1 | 2*t^2.89 + 2*t^3. + t^3.06 + t^3.11 + t^3.22 + t^4.25 + t^4.36 + 3*t^4.47 + 2*t^4.58 + 3*t^4.7 + t^5.78 + t^5.89 + 2*t^5.94 - t^6. + 2*t^6.06 + t^6.11 + t^6.17 + t^6.22 + t^6.28 + t^6.34 + t^6.45 + 2*t^7.14 + 2*t^7.25 + 4*t^7.36 + 4*t^7.47 + 6*t^7.58 + 6*t^7.7 + 3*t^7.81 + 3*t^7.92 + t^8.5 + t^8.61 + 3*t^8.72 - t^8.78 + 4*t^8.83 - 6*t^8.89 + 7*t^8.94 - t^4.47/y - t^7.36/y + t^7.58/y + t^8.78/y + (4*t^8.89)/y + (2*t^8.94)/y - t^4.47*y - t^7.36*y + t^7.58*y + t^8.78*y + 4*t^8.89*y + 2*t^8.94*y | (2*t^2.89)/g1^4 + 2*t^3. + g1^2*t^3.06 + g1^4*t^3.11 + g1^8*t^3.22 + t^4.25/g1^9 + t^4.36/g1^5 + (3*t^4.47)/g1 + 2*g1^3*t^4.58 + 3*g1^7*t^4.7 + t^5.78/g1^8 + t^5.89/g1^4 + (2*t^5.94)/g1^2 - t^6. + 2*g1^2*t^6.06 + g1^4*t^6.11 + g1^6*t^6.17 + g1^8*t^6.22 + g1^10*t^6.28 + g1^12*t^6.34 + g1^16*t^6.45 + (2*t^7.14)/g1^13 + (2*t^7.25)/g1^9 + (4*t^7.36)/g1^5 + (4*t^7.47)/g1 + 6*g1^3*t^7.58 + 6*g1^7*t^7.7 + 3*g1^11*t^7.81 + 3*g1^15*t^7.92 + t^8.5/g1^18 + t^8.61/g1^14 + (3*t^8.72)/g1^10 - t^8.78/g1^8 + (4*t^8.83)/g1^6 - (6*t^8.89)/g1^4 + (7*t^8.94)/g1^2 - t^4.47/(g1*y) - t^7.36/(g1^5*y) + (g1^3*t^7.58)/y + t^8.78/(g1^8*y) + (4*t^8.89)/(g1^4*y) + (2*t^8.94)/(g1^2*y) - (t^4.47*y)/g1 - (t^7.36*y)/g1^5 + g1^3*t^7.58*y + (t^8.78*y)/g1^8 + (4*t^8.89*y)/g1^4 + (2*t^8.94*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 |
|---|---|---|---|---|---|---|---|---|
| 2367 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_1^2$ + $ M_5^2$ + $ M_6M_7$ | 0.6993 | 0.8564 | 0.8165 | [X:[], M:[1.0, 1.0275, 0.945, 0.945, 1.0, 1.055, 0.945], q:[0.555, 0.445], qb:[0.5, 0.555], phi:[0.4862]] | 3*t^2.83 + 2*t^3. + t^3.08 + t^3.33 + t^4.13 + t^4.29 + 3*t^4.46 + 2*t^4.62 + 3*t^4.79 + 4*t^5.67 + 3*t^5.83 + 3*t^5.92 - 3*t^6. - t^4.46/y - t^4.46*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 |
|---|---|---|---|---|---|---|---|---|---|
| 834 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_1^2$ | 0.7146 | 0.8745 | 0.8171 | [X:[], M:[1.0, 1.0767, 0.8466, 1.0202, 0.8264, 0.9798], q:[0.4798, 0.5202], qb:[0.5, 0.6534], phi:[0.4617]] | t^2.48 + t^2.54 + t^2.94 + t^3. + t^3.06 + t^3.23 + t^3.4 + t^4.26 + t^4.32 + 2*t^4.38 + t^4.45 + t^4.51 + t^4.78 + t^4.85 + t^4.91 + t^4.96 + t^5.02 + t^5.08 + t^5.31 + t^5.42 + t^5.48 + t^5.54 + t^5.71 + t^5.77 + t^5.88 - 2*t^6. - t^4.38/y - t^4.38*y | detail |