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 |
|---|---|---|---|---|---|---|---|---|---|
| 47037 | 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}_1\tilde{q}_2$ + $ M_1M_5$ + $ M_4\phi_1q_1^2$ | 0.6499 | 0.8094 | 0.803 | [X:[], M:[1.1637, 0.7456, 0.8363, 0.806, 0.8363], q:[0.403, 0.4332], qb:[0.8514, 0.7607], phi:[0.3879]] | [X:[], M:[[12], [18], [-12], [-2], [-12]], q:[[-1], [-11]], qb:[[-17], [13]], phi:[[4]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ \phi_1^2$, $ M_4$, $ M_3$, $ M_5$, $ \phi_1q_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_2^2$, $ q_2\tilde{q}_1$, $ M_2^2$, $ M_2\phi_1^2$, $ M_2M_4$, $ \phi_1^4$, $ \phi_1q_1\tilde{q}_2$, $ M_2M_3$, $ M_2M_5$, $ M_4\phi_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_4^2$, $ M_3\phi_1^2$, $ M_5\phi_1^2$, $ \tilde{q}_1\tilde{q}_2$, $ M_3M_4$, $ M_4M_5$, $ \phi_1q_1\tilde{q}_1$, $ M_3^2$, $ M_3M_5$, $ M_5^2$, $ \phi_1q_2\tilde{q}_1$ | $\phi_1^3q_1q_2$, $ M_2\phi_1q_2^2$ | 0 | t^2.24 + t^2.33 + t^2.42 + 2*t^2.51 + t^3.58 + t^3.67 + t^3.76 + t^3.85 + t^4.47 + t^4.56 + 2*t^4.65 + 3*t^4.75 + 4*t^4.84 + 2*t^4.93 + 3*t^5.02 + 3*t^6.09 + 3*t^6.18 + 3*t^6.27 + 2*t^6.36 + t^6.71 + t^6.8 + 2*t^6.89 + 3*t^6.98 + 3*t^7.07 + 4*t^7.16 + 4*t^7.25 + 5*t^7.35 + 3*t^7.44 + 5*t^7.53 + t^7.62 + t^7.71 - t^8.15 - 2*t^8.24 - 2*t^8.33 - 2*t^8.42 + 5*t^8.6 + 6*t^8.69 + 5*t^8.78 + 3*t^8.87 + t^8.95 - t^4.16/y - t^6.4/y - t^6.49/y - t^6.58/y - t^6.67/y + t^7.56/y + (2*t^7.65)/y + (4*t^7.75)/y + (3*t^7.84)/y + (3*t^7.93)/y + t^8.02/y - t^8.64/y - t^8.73/y - t^8.82/y - t^4.16*y - t^6.4*y - t^6.49*y - t^6.58*y - t^6.67*y + t^7.56*y + 2*t^7.65*y + 4*t^7.75*y + 3*t^7.84*y + 3*t^7.93*y + t^8.02*y - t^8.64*y - t^8.73*y - t^8.82*y | g1^18*t^2.24 + g1^8*t^2.33 + t^2.42/g1^2 + (2*t^2.51)/g1^12 + g1^2*t^3.58 + t^3.67/g1^8 + t^3.76/g1^18 + t^3.85/g1^28 + g1^36*t^4.47 + g1^26*t^4.56 + 2*g1^16*t^4.65 + 3*g1^6*t^4.75 + (4*t^4.84)/g1^4 + (2*t^4.93)/g1^14 + (3*t^5.02)/g1^24 + (3*t^6.09)/g1^10 + (3*t^6.18)/g1^20 + (3*t^6.27)/g1^30 + (2*t^6.36)/g1^40 + g1^54*t^6.71 + g1^44*t^6.8 + 2*g1^34*t^6.89 + 3*g1^24*t^6.98 + 3*g1^14*t^7.07 + 4*g1^4*t^7.16 + (4*t^7.25)/g1^6 + (5*t^7.35)/g1^16 + (3*t^7.44)/g1^26 + (5*t^7.53)/g1^36 + t^7.62/g1^46 + t^7.71/g1^56 - g1^28*t^8.15 - 2*g1^18*t^8.24 - 2*g1^8*t^8.33 - (2*t^8.42)/g1^2 + (5*t^8.6)/g1^22 + (6*t^8.69)/g1^32 + (5*t^8.78)/g1^42 + (3*t^8.87)/g1^52 + g1^72*t^8.95 - (g1^4*t^4.16)/y - (g1^22*t^6.4)/y - (g1^12*t^6.49)/y - (g1^2*t^6.58)/y - t^6.67/(g1^8*y) + (g1^26*t^7.56)/y + (2*g1^16*t^7.65)/y + (4*g1^6*t^7.75)/y + (3*t^7.84)/(g1^4*y) + (3*t^7.93)/(g1^14*y) + t^8.02/(g1^24*y) - (g1^40*t^8.64)/y - (g1^30*t^8.73)/y - (g1^20*t^8.82)/y - g1^4*t^4.16*y - g1^22*t^6.4*y - g1^12*t^6.49*y - g1^2*t^6.58*y - (t^6.67*y)/g1^8 + g1^26*t^7.56*y + 2*g1^16*t^7.65*y + 4*g1^6*t^7.75*y + (3*t^7.84*y)/g1^4 + (3*t^7.93*y)/g1^14 + (t^8.02*y)/g1^24 - g1^40*t^8.64*y - g1^30*t^8.73*y - g1^20*t^8.82*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 |
|---|---|---|---|---|---|---|---|---|
| 55092 | $M_1q_1q_2$ + $ 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}_1\tilde{q}_2$ + $ M_1M_5$ + $ M_4\phi_1q_1^2$ + $ M_4M_6$ | 0.6338 | 0.781 | 0.8115 | [X:[], M:[1.1617, 0.7426, 0.8383, 0.8064, 0.8383, 1.1936], q:[0.4032, 0.4351], qb:[0.8542, 0.7585], phi:[0.3872]] | t^2.23 + t^2.32 + 2*t^2.51 + 2*t^3.58 + t^3.68 + t^3.77 + t^3.87 + t^4.46 + t^4.55 + t^4.65 + 2*t^4.74 + 3*t^4.84 + 3*t^5.03 + t^5.81 + t^5.9 - t^6. - t^4.16/y - t^4.16*y | detail | |
| 55200 | $M_1q_1q_2$ + $ 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}_1\tilde{q}_2$ + $ M_1M_5$ + $ M_4\phi_1q_1^2$ + $ M_6\phi_1q_1q_2$ | 0.6679 | 0.8411 | 0.7941 | [X:[], M:[1.1573, 0.736, 0.8427, 0.8071, 0.8427, 0.7715], q:[0.4036, 0.4391], qb:[0.8605, 0.7538], phi:[0.3858]] | t^2.21 + 2*t^2.31 + t^2.42 + 2*t^2.53 + t^3.58 + t^3.79 + t^3.9 + t^4.42 + 2*t^4.52 + 4*t^4.63 + 4*t^4.74 + 6*t^4.84 + 2*t^4.95 + 3*t^5.06 - t^6. - t^4.16/y - t^4.16*y | detail | |
| 55180 | $M_1q_1q_2$ + $ 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}_1\tilde{q}_2$ + $ M_1M_5$ + $ M_4\phi_1q_1^2$ + $ M_6\phi_1q_2^2$ | 0.6694 | 0.8449 | 0.7923 | [X:[], M:[1.1542, 0.7313, 0.8458, 0.8076, 0.8458, 0.7313], q:[0.4038, 0.442], qb:[0.8649, 0.7504], phi:[0.3847]] | 2*t^2.19 + t^2.31 + t^2.42 + 2*t^2.54 + t^3.58 + t^3.69 + t^3.92 + 3*t^4.39 + 2*t^4.5 + 3*t^4.62 + 5*t^4.73 + 4*t^4.85 + 2*t^4.96 + 3*t^5.07 + t^5.77 + t^5.89 - t^6. - t^4.15/y - t^4.15*y | detail | |
| 55386 | $M_1q_1q_2$ + $ 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}_1\tilde{q}_2$ + $ M_1M_5$ + $ M_4\phi_1q_1^2$ + $ M_6\phi_1^2$ | 0.6322 | 0.7785 | 0.8121 | [X:[], M:[1.1706, 0.7558, 0.8294, 0.8049, 0.8294, 1.2196], q:[0.4025, 0.427], qb:[0.8417, 0.7681], phi:[0.3902]] | t^2.27 + t^2.41 + 2*t^2.49 + t^3.59 + 2*t^3.66 + t^3.73 + t^3.81 + t^4.53 + t^4.68 + 2*t^4.76 + 2*t^4.83 + 2*t^4.9 + 3*t^4.98 - t^6. - t^4.17/y - t^4.17*y | detail | |
| 55229 | $M_1q_1q_2$ + $ 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}_1\tilde{q}_2$ + $ M_1M_5$ + $ M_4\phi_1q_1^2$ + $ M_6q_2\tilde{q}_1$ | 0.6704 | 0.8481 | 0.7904 | [X:[], M:[1.1562, 0.7343, 0.8438, 0.8073, 0.8438, 0.6978], q:[0.4037, 0.4402], qb:[0.8621, 0.7525], phi:[0.3854]] | t^2.09 + t^2.2 + t^2.31 + t^2.42 + 2*t^2.53 + t^3.58 + t^3.69 + t^3.8 + t^4.19 + t^4.3 + 2*t^4.41 + 2*t^4.52 + 4*t^4.62 + 3*t^4.73 + 4*t^4.84 + 2*t^4.95 + 3*t^5.06 + t^5.67 + t^5.78 + t^5.89 - t^4.16/y - t^4.16*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46773 | 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}_1\tilde{q}_2$ + $ M_1M_5$ | 0.6501 | 0.8094 | 0.8031 | [X:[], M:[1.1622, 0.7548, 0.8378, 0.7947, 0.8378], q:[0.3974, 0.4405], qb:[0.8478, 0.7648], phi:[0.3874]] | t^2.26 + t^2.32 + t^2.38 + 2*t^2.51 + t^3.55 + t^3.68 + t^3.81 + t^3.86 + t^4.53 + t^4.59 + 2*t^4.65 + t^4.71 + t^4.77 + 2*t^4.78 + 3*t^4.84 + 2*t^4.9 + 3*t^5.03 + t^5.93 - 2*t^6. - t^4.16/y - t^4.16*y | detail |