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 |
|---|---|---|---|---|---|---|---|---|---|
| 664 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_1^2$ + $ M_4q_1\tilde{q}_2$ | 0.6565 | 0.8083 | 0.8122 | [X:[], M:[1.0, 1.1429, 0.8571, 0.7143], q:[0.7857, 0.3571], qb:[0.6429, 0.5], phi:[0.4286]] | [X:[], M:[[0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 3603/5488, c: 1109/1372, M1: 1, M2: 8/7, M3: 6/7, M4: 5/7, q1: 11/14, q2: 5/14, qb1: 9/14, qb2: 1/2, phi1: 3/7} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_3$, $ \phi_1^2$, $ M_1$, $ M_2$, $ q_1q_2$, $ \phi_1q_2^2$, $ q_1\tilde{q}_2$, $ M_4^2$, $ q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ M_3M_4$, $ M_4\phi_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_3^2$, $ M_1M_4$, $ M_3\phi_1^2$, $ \phi_1^4$, $ \phi_1\tilde{q}_1^2$, $ M_1M_3$, $ M_2M_4$, $ M_1\phi_1^2$, $ M_4q_1q_2$, $ M_4\phi_1q_2^2$ | $M_2M_3$, $ M_3q_1q_2$, $ M_3\phi_1q_2^2$, $ \phi_1^3q_2^2$ | 4 | t^2.14 + 2*t^2.57 + t^3. + 3*t^3.43 + t^3.86 + 4*t^4.29 + 3*t^4.71 + 4*t^5.14 + 3*t^5.57 + 4*t^6. + 4*t^6.43 + 8*t^6.86 + 6*t^7.29 + 10*t^7.71 + 4*t^8.14 + 7*t^8.57 - t^4.29/y - t^6.43/y - t^6.86/y + (3*t^7.71)/y + (3*t^8.14)/y + (4*t^8.57)/y - t^4.29*y - t^6.43*y - t^6.86*y + 3*t^7.71*y + 3*t^8.14*y + 4*t^8.57*y | t^2.14 + 2*t^2.57 + t^3. + 3*t^3.43 + t^3.86 + 4*t^4.29 + 3*t^4.71 + 4*t^5.14 + 3*t^5.57 + 4*t^6. + 4*t^6.43 + 8*t^6.86 + 6*t^7.29 + 10*t^7.71 + 4*t^8.14 + 7*t^8.57 - t^4.29/y - t^6.43/y - t^6.86/y + (3*t^7.71)/y + (3*t^8.14)/y + (4*t^8.57)/y - t^4.29*y - t^6.43*y - t^6.86*y + 3*t^7.71*y + 3*t^8.14*y + 4*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 |
|---|---|---|---|---|---|---|---|---|
| 1064 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_1^2$ + $ M_4q_1\tilde{q}_2$ + $ M_3M_5$ | 0.644 | 0.7868 | 0.8184 | [X:[], M:[1.0, 1.1429, 0.8571, 0.7143, 1.1429], q:[0.7857, 0.3571], qb:[0.6429, 0.5], phi:[0.4286]] | t^2.14 + t^2.57 + t^3. + 4*t^3.43 + t^3.86 + 4*t^4.29 + 2*t^4.71 + 2*t^5.14 + 3*t^5.57 + 2*t^6. - t^4.29/y - t^4.29*y | detail | {a: 1767/2744, c: 2159/2744, M1: 1, M2: 8/7, M3: 6/7, M4: 5/7, M5: 8/7, q1: 11/14, q2: 5/14, qb1: 9/14, qb2: 1/2, phi1: 3/7} |
| 1972 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_1^2$ + $ M_4q_1\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ | 0.6767 | 0.8464 | 0.7996 | [X:[], M:[1.0, 1.1429, 0.8571, 0.7143, 0.7143], q:[0.7857, 0.3571], qb:[0.6429, 0.5], phi:[0.4286]] | 2*t^2.14 + 2*t^2.57 + t^3. + 3*t^3.43 + 6*t^4.29 + 5*t^4.71 + 5*t^5.14 + 6*t^5.57 + 3*t^6. - t^4.29/y - t^4.29*y | detail | {a: 1857/2744, c: 4645/5488, M1: 1, M2: 8/7, M3: 6/7, M4: 5/7, M5: 5/7, q1: 11/14, q2: 5/14, qb1: 9/14, qb2: 1/2, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 410 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_1^2$ | 0.67 | 0.8227 | 0.8144 | [X:[], M:[1.0, 1.115, 0.9824, 0.6725], q:[0.7788, 0.4337], qb:[0.5663, 0.4513], phi:[0.4425]] | t^2.02 + t^2.65 + t^2.95 + t^3. + t^3.35 + t^3.64 + t^3.69 + t^3.93 + 3*t^4.04 + t^4.33 + t^4.38 + t^4.67 + t^4.73 + t^4.96 + t^5.02 + t^5.31 + t^5.36 + t^5.65 + t^5.71 + t^5.89 + t^5.95 - t^6. - t^4.33/y - t^4.33*y | detail |