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 |
|---|---|---|---|---|---|---|---|---|---|
| 287 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_1M_2$ + $ \phi_1\tilde{q}_1^3\tilde{q}_2$ + $ M_1^2$ | 0.533 | 0.6669 | 0.7992 | [X:[], M:[1.0, 1.0], q:[0.5714, 1.0], qb:[0.4286, 0.2857], phi:[0.4286]] | [X:[], M:[[0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 2925/5488, c: 915/1372, M1: 1, M2: 1, q1: 4/7, q2: 1, qb1: 3/7, qb2: 2/7, phi1: 3/7} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\tilde{q}_1\tilde{q}_2$, $ \phi_1^2$, $ q_1\tilde{q}_2$, $ M_1$, $ M_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ q_2\tilde{q}_2$, $ q_2\tilde{q}_1$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ q_1q_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_1\tilde{q}_2^2$, $ \phi_1^4$, $ M_1\tilde{q}_1\tilde{q}_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ q_1^2\tilde{q}_2^2$, $ M_1\phi_1^2$, $ M_2\phi_1^2$, $ M_2q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2\tilde{q}_2^2$ | $M_2^2$, $ \phi_1^3\tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_1\tilde{q}_2^2$ | 3 | t^2.14 + 2*t^2.57 + 2*t^3. + t^3.43 + 2*t^3.86 + 2*t^4.29 + 3*t^4.71 + 4*t^5.14 + 3*t^5.57 + 3*t^6. + 3*t^6.43 + 4*t^6.86 + 5*t^7.29 + 6*t^7.71 + 3*t^8.14 + 3*t^8.57 - t^4.29/y - t^6.86/y + (3*t^7.71)/y + (3*t^8.14)/y + (5*t^8.57)/y - t^4.29*y - t^6.86*y + 3*t^7.71*y + 3*t^8.14*y + 5*t^8.57*y | t^2.14 + 2*t^2.57 + 2*t^3. + t^3.43 + 2*t^3.86 + 2*t^4.29 + 3*t^4.71 + 4*t^5.14 + 3*t^5.57 + 3*t^6. + 3*t^6.43 + 4*t^6.86 + 5*t^7.29 + 6*t^7.71 + 3*t^8.14 + 3*t^8.57 - t^4.29/y - t^6.86/y + (3*t^7.71)/y + (3*t^8.14)/y + (5*t^8.57)/y - t^4.29*y - t^6.86*y + 3*t^7.71*y + 3*t^8.14*y + 5*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 |
|---|---|---|---|---|---|---|---|---|
| 460 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_1M_2$ + $ \phi_1\tilde{q}_1^3\tilde{q}_2$ + $ M_1^2$ + $ M_3\phi_1\tilde{q}_1\tilde{q}_2$ | 0.5456 | 0.6884 | 0.7925 | [X:[], M:[1.0, 1.0, 0.8571], q:[0.5714, 1.0], qb:[0.4286, 0.2857], phi:[0.4286]] | t^2.14 + 3*t^2.57 + 2*t^3. + 2*t^3.86 + 2*t^4.29 + 4*t^4.71 + 7*t^5.14 + 4*t^5.57 + t^6. - t^4.29/y - t^4.29*y | detail | {a: 1497/2744, c: 1889/2744, M1: 1, M2: 1, M3: 6/7, q1: 4/7, q2: 1, qb1: 3/7, qb2: 2/7, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 185 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_1M_2$ + $ \phi_1\tilde{q}_1^3\tilde{q}_2$ | 0.5333 | 0.6681 | 0.7983 | [X:[], M:[0.981, 1.019], q:[0.5878, 0.981], qb:[0.4313, 0.2748], phi:[0.4313]] | t^2.12 + 2*t^2.59 + t^2.94 + t^3.06 + t^3.41 + t^3.77 + t^3.88 + 2*t^4.24 + 3*t^4.71 + t^5.06 + 3*t^5.18 + 2*t^5.53 + t^5.64 + 2*t^5.89 - t^4.29/y - t^4.29*y | detail |