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 |
|---|---|---|---|---|---|---|---|---|---|
| 55311 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2\phi_1^2$ + $ M_2M_5$ + $ \phi_1q_2^2$ + $ M_4\phi_1q_1^2$ | 0.6654 | 0.8241 | 0.8075 | [X:[], M:[0.8462, 1.0769, 1.1538, 0.7692, 0.9231], q:[0.3846, 0.7692], qb:[0.5385, 0.4615], phi:[0.4615]] | [X:[], M:[[0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 23391/35152, c: 3621/4394, M1: 11/13, M2: 14/13, M3: 15/13, M4: 10/13, M5: 12/13, q1: 5/13, q2: 10/13, qb1: 7/13, qb2: 6/13, phi1: 6/13} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_1$, $ M_5$, $ \phi_1^2$, $ \tilde{q}_1\tilde{q}_2$, $ M_3$, $ \phi_1q_1^2$, $ q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ \phi_1\tilde{q}_1^2$, $ M_1M_4$, $ \phi_1q_1q_2$, $ M_1^2$, $ M_4M_5$, $ M_4\phi_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_1M_5$, $ M_1\phi_1^2$, $ \phi_1q_2\tilde{q}_1$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_5^2$, $ M_5\phi_1^2$, $ \phi_1^4$, $ M_1\tilde{q}_1\tilde{q}_2$, $ M_3M_4$, $ M_5\tilde{q}_1\tilde{q}_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$ | $\tilde{q}_1^2\tilde{q}_2^2$ | 0 | t^2.31 + t^2.54 + 2*t^2.77 + t^3. + t^3.46 + t^3.69 + 2*t^3.92 + 2*t^4.15 + t^4.38 + 2*t^4.62 + t^4.85 + 3*t^5.08 + 3*t^5.31 + 3*t^5.54 + t^5.77 + 2*t^6.23 + 4*t^6.46 + 5*t^6.69 + 6*t^6.92 + 2*t^7.15 + 4*t^7.38 + 4*t^7.62 + 6*t^7.85 + 6*t^8.08 + 4*t^8.31 + t^8.54 + t^8.77 - t^4.38/y - t^6.69/y - t^7.15/y + t^7.62/y + t^7.85/y + (3*t^8.08)/y + (3*t^8.31)/y + (2*t^8.54)/y + (3*t^8.77)/y - t^4.38*y - t^6.69*y - t^7.15*y + t^7.62*y + t^7.85*y + 3*t^8.08*y + 3*t^8.31*y + 2*t^8.54*y + 3*t^8.77*y | t^2.31 + t^2.54 + 2*t^2.77 + t^3. + t^3.46 + t^3.69 + 2*t^3.92 + 2*t^4.15 + t^4.38 + 2*t^4.62 + t^4.85 + 3*t^5.08 + 3*t^5.31 + 3*t^5.54 + t^5.77 + 2*t^6.23 + 4*t^6.46 + 5*t^6.69 + 6*t^6.92 + 2*t^7.15 + 4*t^7.38 + 4*t^7.62 + 6*t^7.85 + 6*t^8.08 + 4*t^8.31 + t^8.54 + t^8.77 - t^4.38/y - t^6.69/y - t^7.15/y + t^7.62/y + t^7.85/y + (3*t^8.08)/y + (3*t^8.31)/y + (2*t^8.54)/y + (3*t^8.77)/y - t^4.38*y - t^6.69*y - t^7.15*y + t^7.62*y + t^7.85*y + 3*t^8.08*y + 3*t^8.31*y + 2*t^8.54*y + 3*t^8.77*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 |
|---|---|---|---|---|---|---|---|---|
| 56952 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2\phi_1^2$ + $ M_2M_5$ + $ \phi_1q_2^2$ + $ M_4\phi_1q_1^2$ + $ M_3M_6$ | 0.6788 | 0.8471 | 0.8014 | [X:[], M:[0.8462, 1.0769, 1.1538, 0.7692, 0.9231, 0.8462], q:[0.3846, 0.7692], qb:[0.5385, 0.4615], phi:[0.4615]] | t^2.31 + 2*t^2.54 + 2*t^2.77 + t^3. + t^3.69 + 2*t^3.92 + 2*t^4.15 + t^4.38 + 2*t^4.62 + 2*t^4.85 + 5*t^5.08 + 5*t^5.31 + 4*t^5.54 - t^6. - t^4.38/y - t^4.38*y | detail | {a: 11931/17576, c: 29777/35152, M1: 11/13, M2: 14/13, M3: 15/13, M4: 10/13, M5: 12/13, M6: 11/13, q1: 5/13, q2: 10/13, qb1: 7/13, qb2: 6/13, phi1: 6/13} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 46891 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2\phi_1^2$ + $ M_2M_5$ + $ \phi_1q_2^2$ | 0.6658 | 0.8247 | 0.8074 | [X:[], M:[0.8534, 1.0828, 1.1466, 0.7517, 0.9172], q:[0.3759, 0.7707], qb:[0.5414, 0.4776], phi:[0.4586]] | t^2.26 + t^2.56 + 2*t^2.75 + t^3.06 + t^3.44 + t^3.63 + 2*t^3.94 + t^4.13 + t^4.24 + t^4.43 + t^4.51 + t^4.62 + t^4.82 + 2*t^5.01 + t^5.12 + 3*t^5.31 + 2*t^5.5 + t^5.62 + t^5.81 + t^5.89 - 2*t^6. - t^4.38/y - t^4.38*y | detail |