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 |
|---|---|---|---|---|---|---|---|---|---|
| 1275 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_4^2$ + $ M_1M_2$ + $ M_2M_5$ + $ M_6\tilde{q}_1\tilde{q}_2$ | 0.7172 | 0.8838 | 0.8115 | [X:[], M:[0.9338, 1.0662, 0.8014, 1.0, 0.9338, 0.9338], q:[0.5, 0.5662], qb:[0.4338, 0.6324], phi:[0.4669]] | [X:[], M:[[-2], [2], [-6], [0], [-2], [-2]], q:[[0], [2]], qb:[[-2], [4]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ M_1$, $ M_5$, $ M_6$, $ \phi_1^2$, $ M_4$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_1\tilde{q}_2$, $ M_3^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_1M_3$, $ M_3M_5$, $ M_3M_6$, $ M_3\phi_1^2$, $ M_1^2$, $ M_1M_5$, $ M_5^2$, $ M_1M_6$, $ M_5M_6$, $ M_6^2$, $ M_1\phi_1^2$, $ M_5\phi_1^2$, $ M_6\phi_1^2$, $ \phi_1^4$, $ M_1M_4$, $ M_4M_5$, $ M_4M_6$, $ M_4\phi_1^2$, $ M_3q_1\tilde{q}_2$ | . | -3 | t^2.4 + 4*t^2.8 + t^3. + t^3.4 + t^4. + t^4.2 + 2*t^4.4 + 2*t^4.6 + 2*t^4.8 + t^4.81 + t^5. + t^5.2 + 4*t^5.21 + 8*t^5.6 + 2*t^5.8 - 3*t^6. + t^6.2 - 2*t^6.4 + t^6.41 - t^6.6 + t^6.61 + t^6.79 + 5*t^6.8 + 5*t^7. + 6*t^7.2 + t^7.21 + 6*t^7.4 + 4*t^7.6 + 4*t^7.61 + t^7.8 + t^8. + 9*t^8.01 - t^8.39 + 11*t^8.4 + t^8.59 + 3*t^8.6 - 11*t^8.8 + t^8.81 - t^4.4/y - t^6.8/y - (3*t^7.2)/y + (3*t^7.6)/y + t^8./y + (4*t^8.21)/y + t^8.4/y + (6*t^8.6)/y + (5*t^8.8)/y - t^4.4*y - t^6.8*y - 3*t^7.2*y + 3*t^7.6*y + t^8.*y + 4*t^8.21*y + t^8.4*y + 6*t^8.6*y + 5*t^8.8*y | t^2.4/g1^6 + (4*t^2.8)/g1^2 + t^3. + g1^4*t^3.4 + t^4./g1^5 + t^4.2/g1^3 + (2*t^4.4)/g1 + 2*g1*t^4.6 + 2*g1^3*t^4.8 + t^4.81/g1^12 + g1^5*t^5. + g1^7*t^5.2 + (4*t^5.21)/g1^8 + (8*t^5.6)/g1^4 + (2*t^5.8)/g1^2 - 3*t^6. + g1^2*t^6.2 - 2*g1^4*t^6.4 + t^6.41/g1^11 - g1^6*t^6.6 + t^6.61/g1^9 + g1^8*t^6.79 + (5*t^6.8)/g1^7 + (5*t^7.)/g1^5 + (6*t^7.2)/g1^3 + t^7.21/g1^18 + (6*t^7.4)/g1 + 4*g1*t^7.6 + (4*t^7.61)/g1^14 + g1^3*t^7.8 + g1^5*t^8. + (9*t^8.01)/g1^10 - g1^9*t^8.39 + (11*t^8.4)/g1^6 + g1^11*t^8.59 + (3*t^8.6)/g1^4 - (11*t^8.8)/g1^2 + t^8.81/g1^17 - t^4.4/(g1*y) - t^6.8/(g1^7*y) - (3*t^7.2)/(g1^3*y) + (3*g1*t^7.6)/y + (g1^5*t^8.)/y + (4*t^8.21)/(g1^8*y) + t^8.4/(g1^6*y) + (6*t^8.6)/(g1^4*y) + (5*t^8.8)/(g1^2*y) - (t^4.4*y)/g1 - (t^6.8*y)/g1^7 - (3*t^7.2*y)/g1^3 + 3*g1*t^7.6*y + g1^5*t^8.*y + (4*t^8.21*y)/g1^8 + (t^8.4*y)/g1^6 + (6*t^8.6*y)/g1^4 + (5*t^8.8*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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 797 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_4^2$ + $ M_1M_2$ + $ M_2M_5$ | 0.7114 | 0.8731 | 0.8147 | [X:[], M:[0.9413, 1.0587, 0.8238, 1.0, 0.9413], q:[0.5, 0.5587], qb:[0.4413, 0.6175], phi:[0.4706]] | t^2.47 + 3*t^2.82 + t^3. + t^3.18 + t^3.35 + t^4.06 + t^4.24 + 2*t^4.41 + 2*t^4.59 + 2*t^4.76 + 2*t^4.94 + t^5.12 + 3*t^5.3 + 5*t^5.65 + t^5.82 - t^4.41/y - t^4.41*y | detail |