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 |
|---|---|---|---|---|---|---|---|---|---|
| 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]] | [X:[], M:[], q:[[0, 0], [-1, -1]], qb:[[1, 0], [0, 1]], phi:[[0, 0]]] | 2 | {a: 161/256, c: 201/256, q1: 3/4, q2: 5/12, qb1: 5/12, qb2: 5/12, phi1: 1/2} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $q_2\tilde{q}_2$, $ q_2\tilde{q}_1$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1^2$, $ q_1\tilde{q}_1$, $ q_1q_2$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ q_2^2\tilde{q}_2^2$, $ q_2\tilde{q}_1^2\tilde{q}_2$, $ q_2^2\tilde{q}_1^2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_1\tilde{q}_2^2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ \phi_1^2q_2\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_1$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$ | $q_1q_2^2\tilde{q}_1$, $ q_1q_2\tilde{q}_1^2$, $ q_1q_2^2\tilde{q}_2$, $ 2q_1q_2\tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_1^2\tilde{q}_2$, $ q_1q_2\tilde{q}_2^2$, $ q_1\tilde{q}_1\tilde{q}_2^2$ | 0 | 3*t^2.5 + t^3. + 3*t^3.5 + 6*t^4. + 6*t^5. + 3*t^5.5 + 15*t^6.5 + 3*t^7. + 12*t^7.5 + 18*t^8. - 9*t^8.5 - t^4.5/y + (3*t^8.)/y + (3*t^8.5)/y - t^4.5*y + 3*t^8.*y + 3*t^8.5*y | t^2.5/g1 + t^2.5/g2 + g1*g2*t^2.5 + t^3. + g1*t^3.5 + t^3.5/(g1*g2) + g2*t^3.5 + t^4./g1 + g1^2*t^4. + t^4./(g1^2*g2^2) + t^4./g2 + g1*g2*t^4. + g2^2*t^4. + t^5./g1^2 + g1*t^5. + t^5./g2^2 + t^5./(g1*g2) + g2*t^5. + g1^2*g2^2*t^5. + t^5.5/g1 + t^5.5/g2 + g1*g2*t^5.5 + t^6.5/g1^2 + 2*g1*t^6.5 + t^6.5/(g1^2*g2^3) + t^6.5/g2^2 + t^6.5/(g1^3*g2^2) + (2*t^6.5)/(g1*g2) + (g1^2*t^6.5)/g2 + 2*g2*t^6.5 + g1^3*g2*t^6.5 + (g2^2*t^6.5)/g1 + g1^2*g2^2*t^6.5 + g1*g2^3*t^6.5 + g1^2*t^7. + t^7./(g1^2*g2^2) + g2^2*t^7. + t^7.5/g1^3 + g1^3*t^7.5 + t^7.5/g2^3 + t^7.5/(g1^3*g2^3) + t^7.5/(g1*g2^2) + t^7.5/(g1^2*g2) + (g1*t^7.5)/g2 + (g2*t^7.5)/g1 + g1^2*g2*t^7.5 + g1*g2^2*t^7.5 + g2^3*t^7.5 + g1^3*g2^3*t^7.5 + (2*t^8.)/g1^2 + g1*t^8. + g1^4*t^8. + t^8./(g1^4*g2^4) + t^8./(g1^2*g2^3) + (2*t^8.)/g2^2 + t^8./(g1^3*g2^2) + t^8./(g1*g2) + (g1^2*t^8.)/g2 + g2*t^8. + g1^3*g2*t^8. + (g2^2*t^8.)/g1 + 2*g1^2*g2^2*t^8. + g1*g2^3*t^8. + g2^4*t^8. - (2*t^8.5)/g1 - g1^2*t^8.5 - t^8.5/(g1^2*g2^2) - (2*t^8.5)/g2 - 2*g1*g2*t^8.5 - g2^2*t^8.5 - t^4.5/y + (g1*t^8.)/y + t^8./(g1*g2*y) + (g2*t^8.)/y + t^8.5/(g1*y) + t^8.5/(g2*y) + (g1*g2*t^8.5)/y - t^4.5*y + g1*t^8.*y + (t^8.*y)/(g1*g2) + g2*t^8.*y + (t^8.5*y)/g1 + (t^8.5*y)/g2 + g1*g2*t^8.5*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 |
|---|---|---|---|---|---|---|---|---|
| 45840 | $\phi_1q_1^2$ + $ \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]] | 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 | |
| 45857 | $\phi_1q_1^2$ + $ \phi_1^4$ + $ \phi_1^2q_2\tilde{q}_2$ | 0.5859 | 0.7422 | 0.7895 | [X:[], M:[], q:[0.75, 0.5], qb:[0.25, 0.5], phi:[0.5]] | 2*t^2.25 + 4*t^3. + 4*t^3.75 + 6*t^4.5 + 6*t^5.25 + 9*t^6. - t^4.5/y - t^4.5*y | detail | {a: 75/128, c: 95/128, q1: 3/4, q2: 1/2, qb1: 1/4, qb2: 1/2, phi1: 1/2} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 55820 | SU2adj1nf3 | $\phi_1q_1q_2$ + $ q_2q_3$ + $ \phi_1^4$ + $ q_1q_3$ | 0.6289 | 0.7852 | 0.801 | [X:[], M:[], q:[0.75, 0.75, 1.25], qb:[0.4167, 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: 3/4, q3: 5/4, qb1: 5/12, qb2: 5/12, qb3: 5/12, phi1: 1/2} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 37 | SU2adj1nf2 | $\phi_1q_1^2$ | 0.6732 | 0.8001 | 0.8414 | [X:[], M:[], q:[0.7969, 0.5261], qb:[0.5261, 0.5261], phi:[0.4062]] | t^2.44 + 3*t^3.16 + 3*t^3.97 + 6*t^4.38 + t^4.87 + 3*t^5.59 - 9*t^6. - t^4.22/y - t^4.22*y | detail |