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 |
|---|---|---|---|---|---|---|---|---|---|
| 45857 | SU2adj1nf2 | $\phi_1q_1^2$ + $ \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]] | [X:[], M:[], q:[[0], [-1]], qb:[[0], [1]], phi:[[0]]] | 1 | {a: 75/128, c: 95/128, q1: 3/4, q2: 1/2, qb1: 1/4, qb2: 1/2, phi1: 1/2} |
| 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$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ q_2\tilde{q}_2$, $ q_1q_2$, $ \phi_1q_2\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2$, $ q_2^2\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_2$, $ q_2\tilde{q}_1^2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ \phi_1q_2^2$, $ q_2^2\tilde{q}_1^2$, $ \phi_1\tilde{q}_2^2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ q_1q_2\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_1^3$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_1^2\tilde{q}_2$, $ \phi_1\tilde{q}_1^3\tilde{q}_2$, $ q_2\tilde{q}_1\tilde{q}_2^2$ | $q_1q_2^2\tilde{q}_1$, $ \phi_1^3\tilde{q}_1^2$, $ \phi_1q_2^2\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_1^3$, $ \phi_1^2\tilde{q}_1^4$, $ 2q_1q_2\tilde{q}_1\tilde{q}_2$, $ 2\phi_1q_2\tilde{q}_1^2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ q_1\tilde{q}_1\tilde{q}_2^2$, $ \phi_1\tilde{q}_1^2\tilde{q}_2^2$ | 9 | 2*t^2.25 + 4*t^3. + 4*t^3.75 + 6*t^4.5 + 6*t^5.25 + 9*t^6. + 12*t^6.75 + 14*t^7.5 + 10*t^8.25 - t^4.5/y + t^7.5/y + (8*t^8.25)/y - t^4.5*y + t^7.5*y + 8*t^8.25*y | t^2.25/g1 + g1*t^2.25 + 4*t^3. + (2*t^3.75)/g1 + 2*g1*t^3.75 + 2*t^4.5 + (2*t^4.5)/g1^2 + 2*g1^2*t^4.5 + (3*t^5.25)/g1 + 3*g1*t^5.25 + 7*t^6. + t^6./g1^2 + g1^2*t^6. + (2*t^6.75)/g1^3 + (4*t^6.75)/g1 + 4*g1*t^6.75 + 2*g1^3*t^6.75 + 2*t^7.5 + (6*t^7.5)/g1^2 + 6*g1^2*t^7.5 + (3*t^8.25)/g1^3 + (2*t^8.25)/g1 + 2*g1*t^8.25 + 3*g1^3*t^8.25 - t^4.5/y + t^7.5/y + (4*t^8.25)/(g1*y) + (4*g1*t^8.25)/y - t^4.5*y + t^7.5*y + (4*t^8.25*y)/g1 + 4*g1*t^8.25*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 |
|---|---|---|---|---|---|---|---|---|
| 45896 | $\phi_1q_1^2$ + $ \phi_1^4$ + $ \phi_1^2q_2\tilde{q}_2$ + $ M_1q_1q_2$ | 0.6052 | 0.7778 | 0.7781 | [X:[], M:[0.7392], q:[0.75, 0.5108], qb:[0.25, 0.4892], phi:[0.5]] | 2*t^2.22 + t^2.28 + 4*t^3. + 2*t^3.72 + t^3.78 + 4*t^4.44 + 3*t^4.5 + 2*t^4.56 + 7*t^5.22 + 3*t^5.28 + 3*t^5.94 + 7*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} |