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 |
|---|---|---|---|---|---|---|---|---|---|
| 329 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_2M_4$ | 0.7203 | 0.8807 | 0.8179 | [X:[], M:[0.9045, 1.0186, 0.7904, 0.9814], q:[0.5292, 0.5663], qb:[0.4522, 0.6433], phi:[0.4522]] | [X:[], M:[[0, -2], [1, -1], [-1, -3], [-1, 1]], q:[[-1, 2], [1, 0]], qb:[[0, -1], [0, 3]], phi:[[0, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ M_1$, $ \phi_1^2$, $ M_4$, $ M_2$, $ \tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1^2$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_3^2$, $ \phi_1q_2^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ M_1M_3$, $ M_3\phi_1^2$, $ \phi_1\tilde{q}_2^2$, $ M_3M_4$, $ M_1^2$, $ M_2M_3$, $ M_1\phi_1^2$, $ \phi_1^4$, $ M_1M_4$, $ M_4\phi_1^2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ M_3q_1\tilde{q}_2$ | $M_1\tilde{q}_1\tilde{q}_2$ | -1 | t^2.37 + 2*t^2.71 + t^2.94 + t^3.06 + t^3.29 + t^3.52 + t^4.07 + t^4.3 + t^4.41 + t^4.53 + 2*t^4.64 + t^4.74 + t^4.75 + t^4.87 + t^4.99 + 2*t^5.08 + t^5.22 + t^5.32 + 3*t^5.43 + t^5.66 + t^5.89 - t^6. + t^6.23 - t^6.34 + t^6.44 + t^6.46 + t^6.67 + 2*t^6.78 + t^6.8 + t^6.9 + 3*t^7.01 + t^7.03 + t^7.11 + 2*t^7.13 + 3*t^7.25 + 3*t^7.36 + 2*t^7.46 + 2*t^7.47 + t^7.48 + 3*t^7.59 + t^7.69 + t^7.7 + 3*t^7.8 + t^7.81 + t^7.82 + t^7.93 + t^8.03 + t^8.05 + 4*t^8.14 + t^8.16 + t^8.26 - t^8.37 + t^8.39 + t^8.6 - 4*t^8.71 + t^8.73 + t^8.81 + 2*t^8.83 - 2*t^8.94 - t^4.36/y - t^6.73/y - (2*t^7.07)/y + (2*t^7.64)/y + t^7.99/y + (2*t^8.08)/y + t^8.32/y + (2*t^8.43)/y + (3*t^8.66)/y + (2*t^8.77)/y + t^8.89/y - t^4.36*y - t^6.73*y - 2*t^7.07*y + 2*t^7.64*y + t^7.99*y + 2*t^8.08*y + t^8.32*y + 2*t^8.43*y + 3*t^8.66*y + 2*t^8.77*y + t^8.89*y | t^2.37/(g1*g2^3) + (2*t^2.71)/g2^2 + (g2*t^2.94)/g1 + (g1*t^3.06)/g2 + g2^2*t^3.29 + (g2^5*t^3.52)/g1 + t^4.07/g2^3 + t^4.3/g1 + (g1*t^4.41)/g2^2 + (g2^3*t^4.53)/g1^2 + 2*g2*t^4.64 + t^4.74/(g1^2*g2^6) + (g1^2*t^4.75)/g2 + (g2^4*t^4.87)/g1 + g1*g2^2*t^4.99 + (2*t^5.08)/(g1*g2^5) + g2^5*t^5.22 + t^5.32/(g1^2*g2^2) + (3*t^5.43)/g2^4 + t^5.66/(g1*g2) + (g2^2*t^5.89)/g1^2 - t^6. + (g2^3*t^6.23)/g1 - g1*g2*t^6.34 + t^6.44/(g1*g2^6) + (g2^6*t^6.46)/g1^2 + t^6.67/(g1^2*g2^3) + (2*t^6.78)/g2^5 + (g2^7*t^6.8)/g1 + t^6.9/g1^3 + (3*t^7.01)/(g1*g2^2) + (g2^10*t^7.03)/g1^2 + t^7.11/(g1^3*g2^9) + (2*g1*t^7.13)/g2^4 + (3*g2*t^7.25)/g1^2 + (3*t^7.36)/g2 + (2*t^7.46)/(g1^2*g2^8) + (2*g1^2*t^7.47)/g2^3 + (g2^4*t^7.48)/g1^3 + (3*g2^2*t^7.59)/g1 + t^7.69/(g1^3*g2^5) + g1*t^7.7 + (3*t^7.8)/(g1*g2^7) + (g1^3*t^7.81)/g2^2 + (g2^5*t^7.82)/g1^2 + g2^3*t^7.93 + t^8.03/(g1^2*g2^4) + (g2^8*t^8.05)/g1^3 + (4*t^8.14)/g2^6 + (g2^6*t^8.16)/g1 + t^8.26/(g1^3*g2) - t^8.37/(g1*g2^3) + (g2^9*t^8.39)/g1^2 + t^8.6/g1^2 - (4*t^8.71)/g2^2 + (g2^10*t^8.73)/g1 + t^8.81/(g1^2*g2^9) + (2*g2^3*t^8.83)/g1^3 - (2*g2*t^8.94)/g1 - t^4.36/(g2*y) - t^6.73/(g1*g2^4*y) - (2*t^7.07)/(g2^3*y) + (2*g2*t^7.64)/y + (g1*g2^2*t^7.99)/y + (2*t^8.08)/(g1*g2^5*y) + t^8.32/(g1^2*g2^2*y) + (2*t^8.43)/(g2^4*y) + (3*t^8.66)/(g1*g2*y) + (2*g1*t^8.77)/(g2^3*y) + (g2^2*t^8.89)/(g1^2*y) - (t^4.36*y)/g2 - (t^6.73*y)/(g1*g2^4) - (2*t^7.07*y)/g2^3 + 2*g2*t^7.64*y + g1*g2^2*t^7.99*y + (2*t^8.08*y)/(g1*g2^5) + (t^8.32*y)/(g1^2*g2^2) + (2*t^8.43*y)/g2^4 + (3*t^8.66*y)/(g1*g2) + (2*g1*t^8.77*y)/g2^3 + (g2^2*t^8.89*y)/g1^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 513 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_2M_4$ + $ M_1M_3$ | 0.6926 | 0.8476 | 0.8172 | [X:[], M:[0.9918, 0.9753, 1.0082, 1.0247], q:[0.5288, 0.4795], qb:[0.4959, 0.5123], phi:[0.4959]] | t^2.93 + 2*t^2.98 + 2*t^3.02 + t^3.07 + t^3.12 + t^4.36 + t^4.41 + 2*t^4.46 + 2*t^4.51 + 2*t^4.56 + t^4.61 + t^4.66 + 2*t^5.95 + t^6. - t^4.49/y - t^4.49*y | detail | |
| 514 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_2M_4$ + $ M_3M_5$ | 0.7051 | 0.8546 | 0.8251 | [X:[], M:[0.9277, 1.0, 0.8555, 1.0, 1.1445], q:[0.5361, 0.5361], qb:[0.4639, 0.6084], phi:[0.4639]] | 2*t^2.78 + 2*t^3. + t^3.22 + 2*t^3.43 + t^4.17 + 2*t^4.39 + 4*t^4.61 + 2*t^4.83 + t^5.04 + 2*t^5.57 - t^6. - t^4.39/y - t^4.39*y | detail | |
| 511 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_2M_4$ + $ M_3^2$ | 0.6954 | 0.8497 | 0.8184 | [X:[], M:[0.9793, 0.9586, 1.0, 1.0414], q:[0.5518, 0.4689], qb:[0.4896, 0.5311], phi:[0.4896]] | t^2.88 + 2*t^2.94 + t^3. + t^3.06 + t^3.12 + t^3.25 + t^4.28 + t^4.34 + t^4.41 + t^4.47 + 2*t^4.53 + t^4.59 + t^4.66 + t^4.72 + t^4.78 + 3*t^5.88 + t^5.94 - t^4.47/y - t^4.47*y | detail | |
| 515 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_2M_4$ + $ M_5\tilde{q}_1\tilde{q}_2$ | 0.7296 | 0.8971 | 0.8133 | [X:[], M:[0.8907, 1.0158, 0.7657, 0.9842, 0.8907], q:[0.5389, 0.5704], qb:[0.4454, 0.6639], phi:[0.4454]] | t^2.3 + 3*t^2.67 + t^2.95 + t^3.05 + t^3.61 + t^4.01 + t^4.29 + t^4.38 + t^4.57 + t^4.59 + 2*t^4.66 + t^4.76 + t^4.94 + 3*t^4.97 + t^5.04 + t^5.25 + t^5.32 + 6*t^5.34 + t^5.62 + t^5.72 + t^5.91 - 3*t^6. - t^4.34/y - t^4.34*y | detail | |
| 1773 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_2M_4$ + $ \phi_1q_1\tilde{q}_2$ | 0.6384 | 0.7923 | 0.8057 | [X:[], M:[0.7685, 0.8473, 0.6897, 1.1527], q:[0.7685, 0.463], qb:[0.3842, 0.8473], phi:[0.3842]] | t^2.07 + 2*t^2.31 + t^2.54 + 2*t^3.46 + 2*t^3.69 + t^3.93 + t^4.14 + 2*t^4.37 + 4*t^4.61 + 3*t^4.85 + t^5.08 + 2*t^5.53 + 4*t^5.76 + 2*t^6. - t^4.15/y - t^4.15*y | detail | |
| 1774 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_2M_4$ + $ \phi_1q_2\tilde{q}_2$ + $ M_3X_1$ | 0.6178 | 0.7527 | 0.8207 | [X:[1.6138], M:[0.7725, 1.1587, 0.3862, 0.8413], q:[0.455, 0.7725], qb:[0.3862, 0.8413], phi:[0.3862]] | 2*t^2.32 + t^2.52 + 2*t^3.48 + 2*t^3.68 + 2*t^3.89 + 3*t^4.63 + 3*t^4.84 + t^5.05 + 2*t^5.79 + t^6. - t^4.16/y - t^4.16*y | detail | |
| 1772 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_2M_4$ + $ \phi_1q_2^2$ + $ M_3X_1$ | 0.6277 | 0.7724 | 0.8127 | [X:[1.4657], M:[0.8767, 1.2192, 0.5343, 0.7808], q:[0.3425, 0.7808], qb:[0.4384, 0.6849], phi:[0.4384]] | t^2.34 + 2*t^2.63 + t^3.08 + 2*t^3.37 + 2*t^3.66 + t^3.95 + 2*t^4.4 + 2*t^4.68 + t^4.97 + 2*t^5.26 + 2*t^5.42 + 3*t^5.71 + 2*t^6. - t^4.32/y - t^4.32*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 |
|---|---|---|---|---|---|---|---|---|---|
| 207 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ | 0.7729 | 0.9519 | 0.812 | [X:[], M:[0.7777, 0.7777, 0.7777, 0.7473], q:[0.596, 0.6263], qb:[0.6263, 0.596], phi:[0.3888]] | t^2.24 + 4*t^2.33 + t^3.58 + t^3.67 + t^4.48 + 4*t^4.57 + 10*t^4.67 + 3*t^4.74 + 4*t^4.83 + 3*t^4.92 + t^5.82 + t^5.91 - 4*t^6. - t^4.17/y - t^4.17*y | detail |