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 |
|---|---|---|---|---|---|---|---|---|---|
| 243 | SU2adj1nf2 | $\phi_1q_1^2$ + $ \phi_1q_2^2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_2\phi_1^2$ + $ q_2\tilde{q}_1^2\tilde{q}_2$ | 0.5406 | 0.6835 | 0.791 | [X:[], M:[0.7143, 1.1429], q:[0.7857, 0.7857], qb:[0.5, 0.2143], phi:[0.4286]] | [X:[], M:[[0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 2967/5488, c: 3751/5488, M1: 5/7, M2: 8/7, q1: 11/14, q2: 11/14, qb1: 1/2, qb2: 3/14, phi1: 3/7} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1^2$, $ q_1\tilde{q}_2$, $ q_2\tilde{q}_2$, $ M_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_1$, $ M_1^2$, $ \phi_1\tilde{q}_1^2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_1\phi_1^2$, $ q_1q_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ \phi_1^4$, $ M_1q_2\tilde{q}_2$, $ q_1\tilde{q}_1\tilde{q}_2^2$, $ q_2\tilde{q}_1\tilde{q}_2^2$, $ M_1M_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ M_1\phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2\tilde{q}_2^2$ | $M_1q_2\tilde{q}_1$, $ \phi_1^3\tilde{q}_1\tilde{q}_2$, $ q_1q_2\tilde{q}_2^2$, $ q_2^2\tilde{q}_2^2$ | 3 | 2*t^2.14 + t^2.57 + 2*t^3. + 2*t^3.43 + t^3.86 + 4*t^4.29 + 3*t^4.71 + 4*t^5.14 + 4*t^5.57 + 3*t^6. + 6*t^6.43 + 5*t^6.86 + 6*t^7.29 + 6*t^7.71 + 3*t^8.14 + 6*t^8.57 - t^4.29/y - t^6.43/y + t^7.29/y + (2*t^7.71)/y + (5*t^8.14)/y + (5*t^8.57)/y - t^4.29*y - t^6.43*y + t^7.29*y + 2*t^7.71*y + 5*t^8.14*y + 5*t^8.57*y | 2*t^2.14 + t^2.57 + 2*t^3. + 2*t^3.43 + t^3.86 + 4*t^4.29 + 3*t^4.71 + 4*t^5.14 + 4*t^5.57 + 3*t^6. + 6*t^6.43 + 5*t^6.86 + 6*t^7.29 + 6*t^7.71 + 3*t^8.14 + 6*t^8.57 - t^4.29/y - t^6.43/y + t^7.29/y + (2*t^7.71)/y + (5*t^8.14)/y + (5*t^8.57)/y - t^4.29*y - t^6.43*y + t^7.29*y + 2*t^7.71*y + 5*t^8.14*y + 5*t^8.57*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 |
|---|---|---|---|---|---|---|---|---|
| 386 | $\phi_1q_1^2$ + $ \phi_1q_2^2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_2\phi_1^2$ + $ q_2\tilde{q}_1^2\tilde{q}_2$ + $ M_1M_3$ | 0.5204 | 0.6454 | 0.8063 | [X:[], M:[0.7143, 1.1429, 1.2857], q:[0.7857, 0.7857], qb:[0.5, 0.2143], phi:[0.4286]] | t^2.14 + t^2.57 + 2*t^3. + 2*t^3.43 + 2*t^3.86 + 2*t^4.29 + 2*t^4.71 + 2*t^5.14 + 2*t^5.57 + 3*t^6. - t^4.29/y - t^4.29*y | detail | {a: 51/98, c: 253/392, M1: 5/7, M2: 8/7, M3: 9/7, q1: 11/14, q2: 11/14, qb1: 1/2, qb2: 3/14, phi1: 3/7} |
| 1762 | $\phi_1q_1^2$ + $ \phi_1q_2^2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_2\phi_1^2$ + $ q_2\tilde{q}_1^2\tilde{q}_2$ + $ M_3q_2\tilde{q}_1$ | 0.5609 | 0.7216 | 0.7773 | [X:[], M:[0.7143, 1.1429, 0.7143], q:[0.7857, 0.7857], qb:[0.5, 0.2143], phi:[0.4286]] | 3*t^2.14 + t^2.57 + 2*t^3. + 2*t^3.43 + 7*t^4.29 + 4*t^4.71 + 6*t^5.14 + 6*t^5.57 + t^6. - t^4.29/y - t^4.29*y | detail | {a: 1539/2744, c: 495/686, M1: 5/7, M2: 8/7, M3: 5/7, q1: 11/14, q2: 11/14, qb1: 1/2, qb2: 3/14, phi1: 3/7} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 149 | SU2adj1nf2 | $\phi_1q_1^2$ + $ \phi_1q_2^2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_2\phi_1^2$ | 0.5422 | 0.6869 | 0.7893 | [X:[], M:[0.7543, 1.1229], q:[0.7807, 0.7807], qb:[0.465, 0.2193], phi:[0.4386]] | t^2.05 + t^2.26 + t^2.63 + 2*t^3. + 2*t^3.37 + t^3.74 + 2*t^4.11 + t^4.32 + t^4.53 + 2*t^4.68 + t^4.89 + 2*t^5.05 + 2*t^5.26 + 2*t^5.42 + 2*t^5.63 + t^5.79 + 2*t^6. - t^4.32/y - t^4.32*y | detail |