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 |
|---|---|---|---|---|---|---|---|---|---|
| 45840 | SU2adj1nf2 | $\phi_1q_1^2$ + $ \phi_1^4$ + $ M_1q_2\tilde{q}_2$ | 0.6155 | 0.7629 | 0.8067 | [X:[], M:[1.1409], q:[0.75, 0.4296], qb:[0.3909, 0.4296], phi:[0.5]] | [X:[], M:[[1, 0]], q:[[0, 0], [-1, -1]], qb:[[1, 0], [0, 1]], phi:[[0, 0]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $q_2\tilde{q}_1$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1^2$, $ M_1$, $ q_1\tilde{q}_1$, $ q_1q_2$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1\tilde{q}_2^2$, $ q_2\tilde{q}_1^2\tilde{q}_2$, $ q_2^2\tilde{q}_1^2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ \phi_1^2q_2\tilde{q}_1$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ q_1q_2\tilde{q}_1^2$, $ q_1\tilde{q}_1^2\tilde{q}_2$ | $q_1q_2^2\tilde{q}_1$, $ q_1q_2\tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_1\tilde{q}_2^2$ | -1 | 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. - 2*t^6.12 + 2*t^6.31 + 4*t^6.42 + 4*t^6.54 + 3*t^6.85 + 2*t^6.96 + 2*t^7.08 + 2*t^7.27 + 6*t^7.38 + 2*t^7.5 + 2*t^7.62 + t^7.69 + 2*t^7.81 + 5*t^7.92 + 2*t^8.04 + 5*t^8.15 + 2*t^8.35 - 4*t^8.46 - 4*t^8.58 + 3*t^8.77 + 4*t^8.88 - t^4.5/y + t^7.08/y + (2*t^8.46)/y + (4*t^8.88)/y - t^4.5*y + t^7.08*y + 2*t^8.46*y + 4*t^8.88*y | t^2.46/g2 + g1*g2*t^2.46 + t^3. + 2*g1*t^3.42 + t^3.54/(g1*g2) + g2*t^3.54 + g1^2*t^3.85 + t^3.96/g2 + g1*g2*t^3.96 + t^4.08/g1 + t^4.08/(g1^2*g2^2) + g2^2*t^4.08 + g1*t^4.92 + t^4.92/g2^2 + g1^2*g2^2*t^4.92 + t^5.46/g2 + g1*g2*t^5.46 + (g1*t^5.88)/g2 + g1^2*g2*t^5.88 - t^6. - t^6.12/(g1^2*g2) - (g2*t^6.12)/g1 + (g1^2*t^6.31)/g2 + g1^3*g2*t^6.31 + 2*g1*t^6.42 + t^6.42/g2^2 + g1^2*g2^2*t^6.42 + t^6.54/(g1^2*g2^3) + t^6.54/(g1*g2) + g2*t^6.54 + g1*g2^3*t^6.54 + 3*g1^2*t^6.85 + t^6.96/g2 + g1*g2*t^6.96 + t^7.08/(g1^2*g2^2) + g2^2*t^7.08 + 2*g1^3*t^7.27 + t^7.38/g2^3 + (2*g1*t^7.38)/g2 + 2*g1^2*g2*t^7.38 + g1^3*g2^3*t^7.38 + t^7.5/(g1*g2^2) + g1*g2^2*t^7.5 + t^7.62/(g1^3*g2^3) + g2^3*t^7.62 + g1^4*t^7.69 + (g1^2*t^7.81)/g2 + g1^3*g2*t^7.81 + g1*t^7.92 + (2*t^7.92)/g2^2 + 2*g1^2*g2^2*t^7.92 + t^8.04/(g1^2*g2^3) + g1*g2^3*t^8.04 + t^8.15/g1^2 + t^8.15/(g1^4*g2^4) + t^8.15/(g1^3*g2^2) + (g2^2*t^8.15)/g1 + g2^4*t^8.15 + (g1*t^8.35)/g2^2 + g1^3*g2^2*t^8.35 - (2*t^8.46)/g2 - 2*g1*g2*t^8.46 - (2*t^8.58)/g1 - t^8.58/(g1^2*g2^2) - g2^2*t^8.58 + g1^3*t^8.77 + (g1^2*t^8.77)/g2^2 + g1^4*g2^2*t^8.77 + t^8.88/g2^3 + (g1*t^8.88)/g2 + g1^2*g2*t^8.88 + g1^3*g2^3*t^8.88 - t^4.5/y + t^7.08/(g1*y) + t^8.46/(g2*y) + (g1*g2*t^8.46)/y + (2*g1*t^8.88)/(g2*y) + (2*g1^2*g2*t^8.88)/y - t^4.5*y + (t^7.08*y)/g1 + (t^8.46*y)/g2 + g1*g2*t^8.46*y + (2*g1*t^8.88*y)/g2 + 2*g1^2*g2*t^8.88*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 |
|---|---|---|---|---|---|---|---|---|
| 45938 | $\phi_1q_1^2$ + $ \phi_1^4$ + $ M_1q_2\tilde{q}_2$ + $ M_2\phi_1q_2\tilde{q}_1$ | 0.6363 | 0.8038 | 0.7916 | [X:[], M:[1.142, 0.6775], q:[0.75, 0.4306], qb:[0.392, 0.4275], phi:[0.5]] | t^2.03 + t^2.46 + t^2.47 + t^3. + 2*t^3.43 + t^3.53 + t^3.54 + t^3.85 + t^3.96 + 2*t^4.06 + t^4.07 + t^4.08 + t^4.49 + t^4.5 + t^4.92 + t^4.93 + t^4.94 + t^5.03 + 3*t^5.46 + t^5.47 + t^5.56 + t^5.57 + 2*t^5.88 + t^5.89 + t^5.99 - t^6. - t^4.5/y - t^4.5*y | detail | |
| 45908 | $\phi_1q_1^2$ + $ \phi_1^4$ + $ M_1q_2\tilde{q}_2$ + $ M_2\phi_1\tilde{q}_1^2$ | 0.6359 | 0.8017 | 0.7932 | [X:[], M:[1.1522, 0.6956], q:[0.75, 0.4239], qb:[0.4022, 0.4239], phi:[0.5]] | t^2.09 + 2*t^2.48 + t^3. + 2*t^3.46 + 2*t^3.52 + 2*t^3.98 + 3*t^4.04 + t^4.17 + 2*t^4.57 + 3*t^4.96 + t^5.09 + 2*t^5.48 + 2*t^5.54 + 2*t^5.61 + 2*t^5.93 - t^6. - t^4.5/y - t^4.5*y | detail | |
| 45911 | $\phi_1q_1^2$ + $ \phi_1^4$ + $ M_1q_2\tilde{q}_2$ + $ M_2q_1q_2$ | 0.6314 | 0.7921 | 0.7972 | [X:[], M:[1.1301, 0.7994], q:[0.75, 0.4506], qb:[0.3801, 0.4193], phi:[0.5]] | 2*t^2.4 + t^2.49 + t^3. + 2*t^3.39 + t^3.51 + t^3.78 + t^3.9 + t^3.99 + t^4.02 + t^4.11 + t^4.2 + 3*t^4.8 + 2*t^4.89 + t^4.98 + 2*t^5.4 + t^5.49 + 3*t^5.79 + t^5.88 + t^5.91 - 2*t^6. - t^4.5/y - t^4.5*y | detail | |
| 45918 | $\phi_1q_1^2$ + $ \phi_1^4$ + $ M_1q_2\tilde{q}_2$ + $ q_1q_2\tilde{q}_1^2$ | 0.6148 | 0.761 | 0.8079 | [X:[], M:[1.1605], q:[0.75, 0.4289], qb:[0.4105, 0.4105], phi:[0.5]] | t^2.46 + t^2.52 + t^3. + 3*t^3.48 + t^3.54 + 3*t^3.96 + 2*t^4.02 + t^4.07 + t^4.93 + t^4.98 + t^5.04 + t^5.46 + t^5.52 + t^5.94 - 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 |
|---|---|---|---|---|---|---|---|---|---|
| 42 | SU2adj1nf2 | $\phi_1q_1^2$ + $ \phi_1^4$ | 0.6289 | 0.7852 | 0.801 | [X:[], M:[], q:[0.75, 0.4167], qb:[0.4167, 0.4167], phi:[0.5]] | 3*t^2.5 + t^3. + 3*t^3.5 + 6*t^4. + 6*t^5. + 3*t^5.5 - t^4.5/y - t^4.5*y | detail | {a: 161/256, c: 201/256, q1: 3/4, q2: 5/12, qb1: 5/12, qb2: 5/12, phi1: 1/2} |