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 |
|---|---|---|---|---|---|---|---|---|---|
| 1153 | 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_2M_4$ + $ M_5\phi_1q_2^2$ + $ M_5\phi_1\tilde{q}_2^2$ + $ M_1\phi_1^2$ + $ M_5X_1$ | 0.6438 | 0.7784 | 0.8271 | [X:[1.3846], M:[1.0769, 1.0769, 1.0769, 0.9231, 0.6154], q:[0.7692, 0.4615], qb:[0.4615, 0.4615], phi:[0.4615]] | [X:[[0]], M:[[0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 2829/4394, c: 6841/8788, X1: 18/13, M1: 14/13, M2: 14/13, M3: 14/13, M4: 12/13, M5: 8/13, q1: 10/13, q2: 6/13, qb1: 6/13, qb2: 6/13, phi1: 6/13} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ \phi_1^2$, $ M_1$, $ M_3$, $ q_1q_2$, $ q_1\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ X_1$, $ M_4^2$, $ M_4\phi_1^2$, $ \phi_1^4$ | $M_1M_4$, $ M_3M_4$, $ M_3\phi_1^2$ | -5 | 2*t^2.77 + 2*t^3.23 + 3*t^3.69 + 6*t^4.15 + 3*t^5.54 - 5*t^6. + 5*t^6.46 + 12*t^6.92 + 4*t^7.38 + 10*t^7.85 + 16*t^8.31 - 12*t^8.77 - t^4.38/y + t^7.15/y - t^7.62/y + t^8.54/y - t^4.38*y + t^7.15*y - t^7.62*y + t^8.54*y | 2*t^2.77 + 2*t^3.23 + 3*t^3.69 + 6*t^4.15 + 3*t^5.54 - 5*t^6. + 5*t^6.46 + 12*t^6.92 + 4*t^7.38 + 10*t^7.85 + 16*t^8.31 - 12*t^8.77 - t^4.38/y + t^7.15/y - t^7.62/y + t^8.54/y - t^4.38*y + t^7.15*y - t^7.62*y + t^8.54*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 |
|---|---|---|---|---|---|---|---|---|
| 2201 | $\phi_1q_1^2$ + $ 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_2M_4$ + $ M_5\phi_1q_2^2$ + $ M_5\phi_1\tilde{q}_2^2$ + $ M_1\phi_1^2$ + $ M_5X_1$ + $ M_4M_6$ | 0.6367 | 0.7666 | 0.8307 | [X:[1.3846], M:[1.0769, 1.0769, 1.0769, 0.9231, 0.6154, 1.0769], q:[0.7692, 0.4615], qb:[0.4615, 0.4615], phi:[0.4615]] | t^2.77 + 3*t^3.23 + 3*t^3.69 + 6*t^4.15 + t^5.54 - 6*t^6. - t^4.38/y - t^4.38*y | detail | {a: 22383/35152, c: 13473/17576, X1: 18/13, M1: 14/13, M2: 14/13, M3: 14/13, M4: 12/13, M5: 8/13, M6: 14/13, q1: 10/13, q2: 6/13, qb1: 6/13, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 708 | 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_2M_4$ + $ M_5\phi_1q_2^2$ + $ M_5\phi_1\tilde{q}_2^2$ | 0.6814 | 0.8416 | 0.8096 | [X:[], M:[0.9657, 1.1263, 0.9657, 0.8737, 0.6895], q:[0.7816, 0.4368], qb:[0.5974, 0.4368], phi:[0.4368]] | t^2.07 + 2*t^2.62 + 2*t^2.9 + 2*t^3.66 + 2*t^3.93 + 2*t^4.14 + 2*t^4.41 + 2*t^4.69 + t^4.9 + 2*t^4.97 + 3*t^5.24 + 2*t^5.52 + 2*t^5.72 + 3*t^5.79 - 3*t^6. - t^4.31/y - t^4.31*y | detail |