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 |
|---|---|---|---|---|---|---|---|---|---|
| 46509 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3M_4$ + $ \phi_1q_1q_2$ + $ M_1X_1$ + $ M_2^2$ | 0.5662 | 0.7001 | 0.8087 | [X:[1.5714], M:[0.4286, 1.0, 1.2857, 0.7143], q:[0.6786, 0.8929], qb:[0.3214, 0.3929], 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: 3/7, M2: 1, M3: 9/7, M4: 5/7, q1: 19/28, q2: 25/28, qb1: 9/28, qb2: 11/28, phi1: 3/7} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ \phi_1^2$, $ M_2$, $ \phi_1\tilde{q}_1^2$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ M_3$, $ M_4^2$, $ \phi_1q_1\tilde{q}_1$, $ M_4\phi_1^2$, $ X_1$, $ M_2M_4$, $ \phi_1^4$, $ \phi_1q_2\tilde{q}_2$, $ M_4\phi_1\tilde{q}_1^2$, $ \phi_1q_1^2$, $ M_4q_1\tilde{q}_2$, $ M_2\phi_1^2$, $ M_4\phi_1\tilde{q}_1\tilde{q}_2$, $ M_4q_2\tilde{q}_1$, $ \phi_1^3\tilde{q}_1^2$, $ \phi_1^2q_1\tilde{q}_2$, $ M_4\phi_1\tilde{q}_2^2$ | $\phi_1^3\tilde{q}_1\tilde{q}_2$ | 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 |
|---|---|---|---|---|---|---|---|---|
| 47026 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3M_4$ + $ \phi_1q_1q_2$ + $ M_1X_1$ + $ M_2^2$ + $ M_3M_5$ | 0.5864 | 0.7382 | 0.7944 | [X:[1.5714], M:[0.4286, 1.0, 1.2857, 0.7143, 0.7143], q:[0.6786, 0.8929], qb:[0.3214, 0.3929], phi:[0.4286]] | 2*t^2.14 + t^2.57 + t^3. + 2*t^3.21 + t^3.43 + 2*t^3.64 + 3*t^4.29 + 3*t^4.71 + 3*t^5.14 + 4*t^5.36 + 2*t^5.57 + 4*t^5.79 - t^6. - t^4.29/y - t^4.29*y | detail | {a: 1839/3136, c: 2315/3136, X1: 11/7, M1: 3/7, M2: 1, M3: 9/7, M4: 5/7, M5: 5/7, q1: 19/28, q2: 25/28, qb1: 9/28, qb2: 11/28, phi1: 3/7} |
| 48108 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3M_4$ + $ \phi_1q_1q_2$ + $ M_1X_1$ + $ M_2^2$ + $ M_5\phi_1\tilde{q}_1^2$ | 0.5753 | 0.7171 | 0.8022 | [X:[1.5714], M:[0.4286, 1.0, 1.2857, 0.7143, 0.8731], q:[0.6509, 0.9206], qb:[0.3491, 0.3651], 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 | |
| 47121 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3M_4$ + $ \phi_1q_1q_2$ + $ M_1X_1$ + $ M_2^2$ + $ M_5\phi_1\tilde{q}_2^2$ | 0.5843 | 0.7335 | 0.7966 | [X:[1.5714], M:[0.4286, 1.0, 1.2857, 0.7143, 0.7557], q:[0.6936, 0.8779], qb:[0.3064, 0.4079], 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 |
|---|---|---|---|---|---|---|---|---|---|
| 46187 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3M_4$ + $ \phi_1q_1q_2$ + $ M_1X_1$ | 0.6212 | 0.7607 | 0.8166 | [X:[1.6162], M:[0.3838, 0.6865, 1.1513, 0.8487], q:[0.8689, 0.7473], qb:[0.4446, 0.4041], phi:[0.3838]] | t^2.06 + t^2.3 + t^2.55 + t^3.45 + 2*t^3.58 + t^3.7 + 2*t^3.82 + t^4.12 + t^4.36 + 2*t^4.61 + 2*t^4.85 + t^5.09 + t^5.51 + 2*t^5.64 + t^5.76 + 2*t^5.88 - t^6. - t^4.15/y - t^4.15*y | detail |