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 |
|---|---|---|---|---|---|---|---|---|---|
| 167 | SU2adj1nf2 | $\phi_1^4$ + $ M_1q_1q_2$ + $ q_1\tilde{q}_1^2\tilde{q}_2$ + $ \phi_1\tilde{q}_2^2$ + $ q_2^2\tilde{q}_1\tilde{q}_2$ | 0.6146 | 0.7604 | 0.8082 | [X:[], M:[1.1667], q:[0.4167, 0.4167], qb:[0.4167, 0.75], phi:[0.5]] | [X:[], M:[[0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 59/96, c: 73/96, M1: 7/6, q1: 5/12, q2: 5/12, qb1: 5/12, qb2: 3/4, phi1: 1/2} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $q_1\tilde{q}_1$, $ q_2\tilde{q}_1$, $ \phi_1^2$, $ M_1$, $ q_1\tilde{q}_2$, $ q_2\tilde{q}_2$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_2^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ q_2^2\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1^2q_1\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$ | $q_2\tilde{q}_1^2\tilde{q}_2$ | -1 | 2*t^2.5 + t^3. + 4*t^3.5 + 6*t^4. + 3*t^5. + 2*t^5.5 - t^6. + 10*t^6.5 + 7*t^7. + 12*t^7.5 + 15*t^8. - 6*t^8.5 - t^4.5/y + t^7./y + (2*t^8.5)/y - t^4.5*y + t^7.*y + 2*t^8.5*y | 2*t^2.5 + t^3. + 4*t^3.5 + 6*t^4. + 3*t^5. + 2*t^5.5 - t^6. + 10*t^6.5 + 7*t^7. + 12*t^7.5 + 15*t^8. - 6*t^8.5 - t^4.5/y + t^7./y + (2*t^8.5)/y - t^4.5*y + t^7.*y + 2*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 |
|---|---|---|---|---|---|---|---|---|
| 261 | $\phi_1^4$ + $ M_1q_1q_2$ + $ q_1\tilde{q}_1^2\tilde{q}_2$ + $ \phi_1\tilde{q}_2^2$ + $ q_2^2\tilde{q}_1\tilde{q}_2$ + $ M_1M_2$ | 0.6289 | 0.7852 | 0.801 | [X:[], M:[1.1667, 0.8333], q:[0.4167, 0.4167], qb:[0.4167, 0.75], 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, M1: 7/6, M2: 5/6, q1: 5/12, q2: 5/12, qb1: 5/12, qb2: 3/4, phi1: 1/2} |
| 260 | $\phi_1^4$ + $ M_1q_1q_2$ + $ q_1\tilde{q}_1^2\tilde{q}_2$ + $ \phi_1\tilde{q}_2^2$ + $ q_2^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ | 0.6003 | 0.7357 | 0.8159 | [X:[], M:[1.1667, 1.1667], q:[0.4167, 0.4167], qb:[0.4167, 0.75], phi:[0.5]] | t^2.5 + t^3. + 5*t^3.5 + 6*t^4. + t^5. + t^5.5 - 4*t^6. - t^4.5/y - t^4.5*y | detail | {a: 461/768, c: 565/768, M1: 7/6, M2: 7/6, q1: 5/12, q2: 5/12, qb1: 5/12, qb2: 3/4, 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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 105 | SU2adj1nf2 | $\phi_1^4$ + $ M_1q_1q_2$ + $ q_1\tilde{q}_1^2\tilde{q}_2$ + $ \phi_1\tilde{q}_2^2$ | 0.6148 | 0.761 | 0.8079 | [X:[], M:[1.1605], q:[0.4289, 0.4105], qb:[0.4105, 0.75], 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 |