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 |
|---|---|---|---|---|---|---|---|---|---|
| 55504 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ + $ M_3q_1\tilde{q}_1$ + $ M_4\phi_1q_2^2$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3X_1$ | 0.5855 | 0.7462 | 0.7846 | [X:[1.4286], M:[1.0, 0.7143, 0.5714, 1.1429, 0.7143], q:[0.7857, 0.2143], qb:[0.6429, 0.6429], phi:[0.4286]] | [X:[[0]], M:[[0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 459/784, c: 585/784, X1: 10/7, M1: 1, M2: 5/7, M3: 4/7, M4: 8/7, M5: 5/7, q1: 11/14, q2: 3/14, qb1: 9/14, qb2: 9/14, phi1: 3/7} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_5$, $ \phi_1^2$, $ q_2\tilde{q}_1$, $ q_2\tilde{q}_2$, $ M_1$, $ M_4$, $ \phi_1q_2\tilde{q}_2$, $ M_2^2$, $ M_2M_5$, $ M_5^2$, $ \phi_1q_1q_2$, $ q_1\tilde{q}_2$, $ X_1$, $ M_2\phi_1^2$, $ M_5\phi_1^2$, $ M_5q_2\tilde{q}_1$, $ M_5q_2\tilde{q}_2$, $ M_1M_2$, $ M_1M_5$, $ \phi_1^4$, $ \phi_1^2q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ q_2^2\tilde{q}_1^2$, $ \phi_1^2q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ q_2^2\tilde{q}_2^2$, $ M_2M_4$, $ M_4M_5$, $ M_1\phi_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$ | $M_4\phi_1^2$, $ M_4q_2\tilde{q}_1$ | -2 | 2*t^2.14 + 3*t^2.57 + t^3. + t^3.43 + t^3.86 + 5*t^4.29 + 4*t^4.71 + 11*t^5.14 + 4*t^5.57 - 2*t^6. + 9*t^6.43 + 8*t^6.86 + 10*t^7.29 + 20*t^7.71 - t^4.29/y - (2*t^6.43)/y + t^7.29/y + (6*t^7.71)/y + (7*t^8.14)/y + (2*t^8.57)/y - t^4.29*y - 2*t^6.43*y + t^7.29*y + 6*t^7.71*y + 7*t^8.14*y + 2*t^8.57*y | 2*t^2.14 + 3*t^2.57 + t^3. + t^3.43 + t^3.86 + 5*t^4.29 + 4*t^4.71 + 11*t^5.14 + 4*t^5.57 - 2*t^6. + 9*t^6.43 + 8*t^6.86 + 10*t^7.29 + 20*t^7.71 - t^4.29/y - (2*t^6.43)/y + t^7.29/y + (6*t^7.71)/y + (7*t^8.14)/y + (2*t^8.57)/y - t^4.29*y - 2*t^6.43*y + t^7.29*y + 6*t^7.71*y + 7*t^8.14*y + 2*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 |
|---|---|---|---|---|---|---|---|---|
| 57092 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ + $ M_3q_1\tilde{q}_1$ + $ M_4\phi_1q_2^2$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3X_1$ + $ M_4M_6$ | 0.598 | 0.7677 | 0.779 | [X:[1.4286], M:[1.0, 0.7143, 0.5714, 1.1429, 0.7143, 0.8571], q:[0.7857, 0.2143], qb:[0.6429, 0.6429], phi:[0.4286]] | 2*t^2.14 + 4*t^2.57 + t^3. + t^3.86 + 5*t^4.29 + 6*t^4.71 + 15*t^5.14 + 3*t^5.57 - 5*t^6. - t^4.29/y - t^4.29*y | detail | {a: 1641/2744, c: 4213/5488, X1: 10/7, M1: 1, M2: 5/7, M3: 4/7, M4: 8/7, M5: 5/7, M6: 6/7, q1: 11/14, q2: 3/14, qb1: 9/14, qb2: 9/14, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 47144 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ + $ M_3q_1\tilde{q}_1$ + $ M_4\phi_1q_2^2$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ | 0.6296 | 0.8171 | 0.7705 | [X:[], M:[1.0, 0.9072, 0.692, 1.0464, 0.7384], q:[0.7616, 0.2384], qb:[0.5464, 0.5464], phi:[0.4768]] | t^2.08 + t^2.22 + 2*t^2.35 + t^2.72 + t^2.86 + t^3. + t^3.14 + t^3.78 + t^3.92 + t^4.15 + t^4.29 + 3*t^4.43 + 2*t^4.57 + 6*t^4.71 + t^4.8 + 2*t^4.94 + 2*t^5.08 + 4*t^5.22 + 3*t^5.35 + t^5.44 + 2*t^5.49 + t^5.58 + 2*t^5.72 + 2*t^5.86 - 2*t^6. - t^4.43/y - t^4.43*y | detail |