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 |
|---|---|---|---|---|---|---|---|---|---|
| 1797 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1^2$ + $ M_2M_3$ + $ \phi_1q_2\tilde{q}_2$ + $ M_4X_1$ | 0.5662 | 0.7001 | 0.8087 | [X:[1.5714], M:[1.0, 0.7143, 1.2857, 0.4286], q:[0.3214, 0.6786], qb:[0.3929, 0.8929], phi:[0.4286]] | [X:[[0]], M:[[0], [0], [0], [0]], q:[[1], [-1]], qb:[[-1], [1]], phi:[[0]]] | 1 | {a: 12429/21952, c: 15369/21952, X1: 11/7, M1: 1, M2: 5/7, M3: 9/7, M4: 3/7, q1: 9/28, q2: 19/28, qb1: 11/28, qb2: 25/28, phi1: 3/7} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ \phi_1^2$, $ M_1$, $ q_2\tilde{q}_1$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ q_1\tilde{q}_2$, $ M_3$, $ M_2^2$, $ \phi_1q_1q_2$, $ M_2\phi_1^2$, $ X_1$, $ M_1M_2$, $ \phi_1^4$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2$, $ M_2\phi_1q_1^2$, $ M_1\phi_1^2$, $ \phi_1^2q_2\tilde{q}_1$, $ \phi_1^3q_1^2$ | $\phi_1^3q_1\tilde{q}_1$ | 0 | t^2.14 + t^2.57 + t^3. + 2*t^3.21 + t^3.43 + 2*t^3.64 + t^3.86 + t^4.29 + 2*t^4.71 + 2*t^5.14 + 2*t^5.36 + t^5.57 + 2*t^5.79 + 2*t^6.21 + 4*t^6.43 + 2*t^6.64 + 4*t^6.86 + 4*t^7.29 + 2*t^7.5 + 2*t^7.71 + 2*t^7.93 - t^8.14 + 2*t^8.36 + 3*t^8.57 - t^4.29/y - t^6.86/y + (2*t^7.71)/y + t^8.14/y + (2*t^8.36)/y + (2*t^8.57)/y + (4*t^8.79)/y - t^4.29*y - t^6.86*y + 2*t^7.71*y + t^8.14*y + 2*t^8.36*y + 2*t^8.57*y + 4*t^8.79*y | t^2.14 + t^2.57 + t^3. + t^3.21/g1^2 + g1^2*t^3.21 + t^3.43 + t^3.64/g1^2 + g1^2*t^3.64 + t^3.86 + t^4.29 + 2*t^4.71 + 2*t^5.14 + t^5.36/g1^2 + g1^2*t^5.36 + t^5.57 + t^5.79/g1^2 + g1^2*t^5.79 + t^6.21/g1^2 + g1^2*t^6.21 + 2*t^6.43 + t^6.43/g1^4 + g1^4*t^6.43 + t^6.64/g1^2 + g1^2*t^6.64 + 2*t^6.86 + t^6.86/g1^4 + g1^4*t^6.86 + 2*t^7.29 + t^7.29/g1^4 + g1^4*t^7.29 + t^7.5/g1^2 + g1^2*t^7.5 + 2*t^7.71 + t^7.93/g1^2 + g1^2*t^7.93 - t^8.14 + t^8.36/g1^2 + g1^2*t^8.36 + t^8.57 + t^8.57/g1^4 + g1^4*t^8.57 - t^4.29/y - t^6.86/y + (2*t^7.71)/y + t^8.14/y + t^8.36/(g1^2*y) + (g1^2*t^8.36)/y + (2*t^8.57)/y + (2*t^8.79)/(g1^2*y) + (2*g1^2*t^8.79)/y - t^4.29*y - t^6.86*y + 2*t^7.71*y + t^8.14*y + (t^8.36*y)/g1^2 + g1^2*t^8.36*y + 2*t^8.57*y + (2*t^8.79*y)/g1^2 + 2*g1^2*t^8.79*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 |
|---|---|---|---|---|---|---|---|---|
| 2809 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1^2$ + $ M_2M_3$ + $ \phi_1q_2\tilde{q}_2$ + $ M_4X_1$ + $ M_5\phi_1q_1\tilde{q}_1$ | 0.5788 | 0.7216 | 0.802 | [X:[1.5714], M:[1.0, 0.7143, 1.2857, 0.4286, 0.8571], q:[0.3214, 0.6786], qb:[0.3929, 0.8929], phi:[0.4286]] | t^2.14 + 2*t^2.57 + t^3. + 2*t^3.21 + 2*t^3.64 + t^3.86 + t^4.29 + 3*t^4.71 + 4*t^5.14 + 2*t^5.36 + t^5.57 + 4*t^5.79 - t^6. - t^4.29/y - t^4.29*y | detail | {a: 1815/3136, c: 2263/3136, X1: 11/7, M1: 1, M2: 5/7, M3: 9/7, M4: 3/7, M5: 6/7, q1: 9/28, q2: 19/28, qb1: 11/28, qb2: 25/28, phi1: 3/7} |
| 2808 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1^2$ + $ M_2M_3$ + $ \phi_1q_2\tilde{q}_2$ + $ M_4X_1$ + $ M_5\phi_1q_1^2$ | 0.5753 | 0.7171 | 0.8022 | [X:[1.5714], M:[1.0, 0.7143, 1.2857, 0.4286, 0.8731], q:[0.3491, 0.6509], qb:[0.3651, 0.9206], phi:[0.4286]] | t^2.14 + t^2.57 + t^2.62 + t^3. + t^3.05 + t^3.43 + t^3.48 + t^3.81 + t^3.86 + t^4.29 + 2*t^4.71 + t^4.76 + 2*t^5.14 + 2*t^5.19 + t^5.24 + t^5.57 + 2*t^5.62 + t^5.67 - t^4.29/y - t^4.29*y | detail | |
| 2810 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1^2$ + $ M_2M_3$ + $ \phi_1q_2\tilde{q}_2$ + $ M_4X_1$ + $ M_5\phi_1\tilde{q}_1^2$ | 0.5843 | 0.7335 | 0.7966 | [X:[1.5714], M:[1.0, 0.7143, 1.2857, 0.4286, 0.7557], q:[0.3064, 0.6936], qb:[0.4079, 0.8779], phi:[0.4286]] | t^2.14 + t^2.27 + t^2.57 + t^3. + t^3.12 + t^3.3 + t^3.43 + t^3.55 + t^3.86 + t^4.29 + t^4.41 + t^4.53 + 2*t^4.71 + t^4.84 + 2*t^5.14 + 2*t^5.27 + t^5.39 + t^5.45 + 2*t^5.57 + 2*t^5.7 + t^5.82 - t^4.29/y - t^4.29*y | detail |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 363 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1^2$ + $ M_2M_3$ | 0.7027 | 0.862 | 0.8151 | [X:[], M:[1.0, 0.9335, 1.0665, 0.867], q:[0.4519, 0.5481], qb:[0.4817, 0.5848], phi:[0.4834]] | t^2.6 + t^2.8 + t^2.9 + t^3. + t^3.09 + t^3.11 + t^3.2 + t^4.16 + t^4.25 + t^4.34 + t^4.45 + t^4.54 + t^4.56 + t^4.65 + t^4.74 + t^4.85 + t^4.96 + t^5.2 + t^5.4 + t^5.5 + t^5.6 + t^5.7 + 2*t^5.8 + t^5.9 + t^5.99 - 2*t^6. - t^4.45/y - t^4.45*y | detail |