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 |
|---|---|---|---|---|---|---|---|---|---|
| 1760 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2\phi_1q_2\tilde{q}_2$ + $ M_2\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2M_3$ + $ M_4q_1q_2$ | 0.6309 | 0.7906 | 0.7979 | [X:[], M:[1.1293, 0.6853, 1.3147, 0.8147], q:[0.75, 0.4353], qb:[0.4353, 0.3793], phi:[0.5]] | [X:[], M:[[2], [-1], [1], [1]], q:[[0], [-1]], qb:[[-1], [2]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ q_2\tilde{q}_2$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1^2$, $ M_1$, $ q_1\tilde{q}_2$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ M_3$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ M_4^2$, $ M_4q_2\tilde{q}_2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ q_2\tilde{q}_1\tilde{q}_2^2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_4\phi_1^2$, $ \phi_1^2q_2\tilde{q}_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ M_1M_4$, $ M_4q_1\tilde{q}_2$, $ q_1q_2\tilde{q}_2^2$, $ q_1\tilde{q}_1\tilde{q}_2^2$ | $M_4q_1\tilde{q}_1$, $ q_1\tilde{q}_1^2\tilde{q}_2$ | -2 | 3*t^2.44 + t^3. + 2*t^3.39 + t^3.56 + t^3.78 + 2*t^3.94 + 3*t^4.11 + 6*t^4.89 + 3*t^5.44 + 4*t^5.83 - 2*t^6. - 2*t^6.17 + 3*t^6.22 + 6*t^6.39 + 6*t^6.56 + 3*t^6.78 + 2*t^7.16 + 11*t^7.33 + t^7.55 - t^7.67 + 2*t^7.72 + 8*t^7.89 + 2*t^8.06 + 5*t^8.22 + 6*t^8.28 - 9*t^8.44 - 6*t^8.61 + 6*t^8.66 + 10*t^8.83 - t^4.5/y - t^6.94/y + t^7.11/y + (2*t^7.89)/y + t^8.06/y + (3*t^8.44)/y + (6*t^8.83)/y - t^4.5*y - t^6.94*y + t^7.11*y + 2*t^7.89*y + t^8.06*y + 3*t^8.44*y + 6*t^8.83*y | 3*g1*t^2.44 + t^3. + 2*g1^2*t^3.39 + t^3.56/g1 + g1^4*t^3.78 + 2*g1*t^3.94 + (3*t^4.11)/g1^2 + 6*g1^2*t^4.89 + 3*g1*t^5.44 + 4*g1^3*t^5.83 - 2*t^6. - (2*t^6.17)/g1^3 + 3*g1^5*t^6.22 + 6*g1^2*t^6.39 + (6*t^6.56)/g1 + 3*g1^4*t^6.78 + 2*g1^6*t^7.16 + 11*g1^3*t^7.33 + g1^8*t^7.55 - t^7.67/g1^3 + 2*g1^5*t^7.72 + 8*g1^2*t^7.89 + (2*t^8.06)/g1 + (5*t^8.22)/g1^4 + 6*g1^4*t^8.28 - 9*g1*t^8.44 - (6*t^8.61)/g1^2 + 6*g1^6*t^8.66 + 10*g1^3*t^8.83 - t^4.5/y - (g1*t^6.94)/y + t^7.11/(g1^2*y) + (2*g1^2*t^7.89)/y + t^8.06/(g1*y) + (3*g1*t^8.44)/y + (6*g1^3*t^8.83)/y - t^4.5*y - g1*t^6.94*y + (t^7.11*y)/g1^2 + 2*g1^2*t^7.89*y + (t^8.06*y)/g1 + 3*g1*t^8.44*y + 6*g1^3*t^8.83*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 |
|---|---|---|---|---|---|---|---|---|
| 2765 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2\phi_1q_2\tilde{q}_2$ + $ M_2\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2M_3$ + $ M_4q_1q_2$ + $ M_5q_1\tilde{q}_1$ | 0.6467 | 0.8193 | 0.7892 | [X:[], M:[1.1186, 0.6907, 1.3093, 0.8093, 0.8093], q:[0.75, 0.4407], qb:[0.4407, 0.3686], phi:[0.5]] | 4*t^2.43 + t^3. + 2*t^3.36 + t^3.71 + 2*t^3.93 + 3*t^4.14 + 10*t^4.86 + 4*t^5.43 + 6*t^5.78 - 5*t^6. - t^4.5/y - t^4.5*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 |
|---|---|---|---|---|---|---|---|---|---|
| 259 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2\phi_1q_2\tilde{q}_2$ + $ M_2\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2M_3$ | 0.6155 | 0.7629 | 0.8067 | [X:[], M:[1.1409, 0.6796, 1.3204], q:[0.75, 0.4296], qb:[0.4296, 0.3909], phi:[0.5]] | 2*t^2.46 + t^3. + 2*t^3.42 + 2*t^3.54 + t^3.85 + 2*t^3.96 + 3*t^4.08 + 3*t^4.92 + 2*t^5.46 + 2*t^5.88 - t^6. - t^4.5/y - t^4.5*y | detail |