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 |
|---|---|---|---|---|---|---|---|---|---|
| 48199 | 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$ + $ \phi_1\tilde{q}_2^2$ + $ M_4\phi_1q_1^2$ + $ M_2\phi_1^2$ | 0.6583 | 0.8122 | 0.8106 | [X:[], M:[1.1538, 1.0769, 0.8462, 0.7692], q:[0.3846, 0.4615], qb:[0.5385, 0.7692], phi:[0.4615]] | [X:[], M:[[0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | {a: 11571/17576, c: 14275/17576, M1: 15/13, M2: 14/13, M3: 11/13, M4: 10/13, q1: 5/13, q2: 6/13, qb1: 7/13, qb2: 10/13, phi1: 6/13} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_3$, $ \phi_1^2$, $ q_2\tilde{q}_1$, $ M_2$, $ M_1$, $ \phi_1q_1^2$, $ \phi_1q_1q_2$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ M_4^2$, $ \phi_1\tilde{q}_1^2$, $ M_3M_4$, $ \phi_1q_1\tilde{q}_2$, $ M_3^2$, $ M_4\phi_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_3\phi_1^2$, $ M_4q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2M_4$, $ \phi_1^4$, $ M_3q_2\tilde{q}_1$, $ M_2M_3$, $ M_1M_4$, $ \phi_1^2q_2\tilde{q}_1$ | $q_2^2\tilde{q}_1^2$ | t^2.31 + t^2.54 + t^2.77 + t^3. + t^3.23 + t^3.46 + t^3.69 + 2*t^3.92 + 2*t^4.15 + t^4.38 + 2*t^4.62 + t^4.85 + 2*t^5.08 + 2*t^5.31 + 2*t^5.54 + t^5.77 + t^6. + 2*t^6.23 + 4*t^6.46 + 4*t^6.69 + 5*t^6.92 + 3*t^7.15 + 4*t^7.38 + 4*t^7.62 + 5*t^7.85 + 4*t^8.08 + 3*t^8.31 + 2*t^8.54 + 3*t^8.77 - t^4.38/y - t^6.69/y + t^7.85/y + (2*t^8.08)/y + (2*t^8.31)/y + (2*t^8.54)/y + (3*t^8.77)/y - t^4.38*y - t^6.69*y + t^7.85*y + 2*t^8.08*y + 2*t^8.31*y + 2*t^8.54*y + 3*t^8.77*y | t^2.31 + t^2.54 + t^2.77 + t^3. + t^3.23 + t^3.46 + t^3.69 + 2*t^3.92 + 2*t^4.15 + t^4.38 + 2*t^4.62 + t^4.85 + 2*t^5.08 + 2*t^5.31 + 2*t^5.54 + t^5.77 + t^6. + 2*t^6.23 + 4*t^6.46 + 4*t^6.69 + 5*t^6.92 + 3*t^7.15 + 4*t^7.38 + 4*t^7.62 + 5*t^7.85 + 4*t^8.08 + 3*t^8.31 + 2*t^8.54 + 3*t^8.77 - t^4.38/y - t^6.69/y + t^7.85/y + (2*t^8.08)/y + (2*t^8.31)/y + (2*t^8.54)/y + (3*t^8.77)/y - t^4.38*y - t^6.69*y + t^7.85*y + 2*t^8.08*y + 2*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 |
|---|---|---|---|---|---|---|---|---|
| 55938 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_2^2$ + $ M_4\phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_5\phi_1q_1^2$ | 0.6765 | 0.8448 | 0.8008 | [X:[], M:[1.1538, 1.0769, 0.8462, 0.7692, 0.7692], q:[0.3846, 0.4615], qb:[0.5385, 0.7692], phi:[0.4615]] | 2*t^2.31 + t^2.54 + t^2.77 + t^3. + t^3.23 + t^3.46 + 2*t^3.92 + 2*t^4.15 + t^4.38 + 4*t^4.62 + 2*t^4.85 + 3*t^5.08 + 3*t^5.31 + 3*t^5.54 + 2*t^5.77 - t^4.38/y - t^4.38*y | detail | {a: 23781/35152, c: 1856/2197, M1: 15/13, M2: 14/13, M3: 11/13, M4: 10/13, M5: 10/13, q1: 5/13, q2: 6/13, qb1: 7/13, qb2: 10/13, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 46748 | 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$ + $ \phi_1\tilde{q}_2^2$ + $ M_4\phi_1q_1^2$ | 0.6612 | 0.8142 | 0.8121 | [X:[], M:[1.1643, 1.0142, 0.8357, 0.7762], q:[0.3881, 0.4476], qb:[0.5977, 0.7762], phi:[0.4476]] | t^2.33 + t^2.51 + t^2.69 + t^3.04 + t^3.14 + t^3.49 + t^3.67 + t^3.85 + t^4.03 + t^4.12 + t^4.3 + t^4.48 + t^4.66 + t^4.84 + t^4.93 + 2*t^5.01 + t^5.19 + t^5.37 + t^5.46 + t^5.64 + t^5.73 + t^5.82 - t^6. - t^4.34/y - t^4.34*y | detail |