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 |
|---|---|---|---|---|---|---|---|---|---|
| 2714 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_3q_1\tilde{q}_1$ + $ M_3\phi_1q_2\tilde{q}_2$ | 0.6134 | 0.7861 | 0.7803 | [X:[], M:[1.0, 0.8885, 0.7082], q:[0.7639, 0.2361], qb:[0.5279, 0.5837], phi:[0.4721]] | [X:[], M:[[0], [-8], [-3]], q:[[1], [-1]], qb:[[2], [6]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ q_2\tilde{q}_1$, $ q_2\tilde{q}_2$, $ M_2$, $ \phi_1^2$, $ \phi_1q_2^2$, $ M_1$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ q_1\tilde{q}_2$, $ M_3^2$, $ \phi_1q_1q_2$, $ M_3q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ q_2^2\tilde{q}_1^2$, $ M_3q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ M_2M_3$, $ \phi_1\tilde{q}_2^2$, $ q_2^2\tilde{q}_2^2$, $ M_3\phi_1^2$, $ M_3\phi_1q_2^2$, $ M_1M_3$, $ \phi_1^2q_2\tilde{q}_1$, $ \phi_1q_2^3\tilde{q}_1$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_2$, $ \phi_1q_2^3\tilde{q}_2$, $ M_2^2$, $ \phi_1q_1\tilde{q}_2$, $ M_2\phi_1^2$, $ M_2\phi_1q_2^2$, $ M_1M_2$, $ \phi_1^4$, $ \phi_1^3q_2^2$, $ \phi_1^2q_2^4$, $ M_1\phi_1^2$, $ M_3\phi_1q_2\tilde{q}_1$ | $\phi_1q_2^2\tilde{q}_1^2$ | -1 | t^2.12 + t^2.29 + t^2.46 + t^2.67 + 2*t^2.83 + t^3. + t^3.71 + t^3.88 + t^4.04 + t^4.25 + t^4.42 + 3*t^4.58 + 2*t^4.75 + t^4.79 + 2*t^4.92 + 2*t^4.96 + 3*t^5.12 + 3*t^5.29 + t^5.33 + t^5.46 + 2*t^5.5 + 4*t^5.67 + t^5.83 - t^6. + t^6.17 + t^6.33 + t^6.37 + t^6.5 + 2*t^6.54 + 4*t^6.71 + 3*t^6.88 + t^6.91 + 3*t^7.04 + 2*t^7.08 + 2*t^7.21 + 3*t^7.25 + 2*t^7.38 + 5*t^7.42 + t^7.46 + 4*t^7.58 + 2*t^7.62 + 4*t^7.75 + 4*t^7.79 + t^7.92 + 4*t^7.96 + t^8. + 2*t^8.12 + 2*t^8.16 - t^8.29 + 4*t^8.33 - 3*t^8.46 + 6*t^8.5 + t^8.63 - t^8.67 + 2*t^8.79 - 3*t^8.83 + 2*t^8.96 - t^4.42/y - t^6.54/y - t^7.08/y - t^7.25/y + t^7.42/y + (2*t^7.58)/y + (2*t^7.75)/y + t^7.79/y + (3*t^7.96)/y + (4*t^8.12)/y + (4*t^8.29)/y + t^8.46/y + (2*t^8.5)/y + t^8.67/y + (3*t^8.83)/y - t^4.42*y - t^6.54*y - t^7.08*y - t^7.25*y + t^7.42*y + 2*t^7.58*y + 2*t^7.75*y + t^7.79*y + 3*t^7.96*y + 4*t^8.12*y + 4*t^8.29*y + t^8.46*y + 2*t^8.5*y + t^8.67*y + 3*t^8.83*y | t^2.12/g1^3 + g1*t^2.29 + g1^5*t^2.46 + t^2.67/g1^8 + (2*t^2.83)/g1^4 + t^3. + t^3.71/g1 + g1^3*t^3.88 + g1^7*t^4.04 + t^4.25/g1^6 + t^4.42/g1^2 + 3*g1^2*t^4.58 + 2*g1^6*t^4.75 + t^4.79/g1^11 + 2*g1^10*t^4.92 + (2*t^4.96)/g1^7 + (3*t^5.12)/g1^3 + 3*g1*t^5.29 + t^5.33/g1^16 + g1^5*t^5.46 + (2*t^5.5)/g1^12 + (4*t^5.67)/g1^8 + t^5.83/g1^4 - t^6. + g1^4*t^6.17 + g1^8*t^6.33 + t^6.37/g1^9 + g1^12*t^6.5 + (2*t^6.54)/g1^5 + (4*t^6.71)/g1 + 3*g1^3*t^6.88 + t^6.91/g1^14 + 3*g1^7*t^7.04 + (2*t^7.08)/g1^10 + 2*g1^11*t^7.21 + (3*t^7.25)/g1^6 + 2*g1^15*t^7.38 + (5*t^7.42)/g1^2 + t^7.46/g1^19 + 4*g1^2*t^7.58 + (2*t^7.62)/g1^15 + 4*g1^6*t^7.75 + (4*t^7.79)/g1^11 + g1^10*t^7.92 + (4*t^7.96)/g1^7 + t^8./g1^24 + (2*t^8.12)/g1^3 + (2*t^8.16)/g1^20 - g1*t^8.29 + (4*t^8.33)/g1^16 - 3*g1^5*t^8.46 + (6*t^8.5)/g1^12 + g1^9*t^8.63 - t^8.67/g1^8 + 2*g1^13*t^8.79 - (3*t^8.83)/g1^4 + 2*g1^17*t^8.96 - t^4.42/(g1^2*y) - t^6.54/(g1^5*y) - t^7.08/(g1^10*y) - t^7.25/(g1^6*y) + t^7.42/(g1^2*y) + (2*g1^2*t^7.58)/y + (2*g1^6*t^7.75)/y + t^7.79/(g1^11*y) + (3*t^7.96)/(g1^7*y) + (4*t^8.12)/(g1^3*y) + (4*g1*t^8.29)/y + (g1^5*t^8.46)/y + (2*t^8.5)/(g1^12*y) + t^8.67/(g1^8*y) + (3*t^8.83)/(g1^4*y) - (t^4.42*y)/g1^2 - (t^6.54*y)/g1^5 - (t^7.08*y)/g1^10 - (t^7.25*y)/g1^6 + (t^7.42*y)/g1^2 + 2*g1^2*t^7.58*y + 2*g1^6*t^7.75*y + (t^7.79*y)/g1^11 + (3*t^7.96*y)/g1^7 + (4*t^8.12*y)/g1^3 + 4*g1*t^8.29*y + g1^5*t^8.46*y + (2*t^8.5*y)/g1^12 + (t^8.67*y)/g1^8 + (3*t^8.83*y)/g1^4 |
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 |
|---|---|---|---|---|---|---|---|---|
| 3223 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_3q_1\tilde{q}_1$ + $ M_3\phi_1q_2\tilde{q}_2$ + $ M_2M_4$ | 0.6062 | 0.7757 | 0.7815 | [X:[], M:[1.0, 0.9565, 0.7337, 1.0435], q:[0.7554, 0.2446], qb:[0.5109, 0.5326], phi:[0.4891]] | t^2.2 + t^2.27 + t^2.33 + 2*t^2.93 + t^3. + t^3.13 + t^3.73 + t^3.8 + t^3.86 + t^4.4 + t^4.47 + 3*t^4.53 + 2*t^4.6 + 2*t^4.66 + t^5.14 + 2*t^5.2 + 3*t^5.27 + 2*t^5.33 + t^5.4 + t^5.46 + 3*t^5.87 + t^5.93 - t^6. - t^4.47/y - t^4.47*y | detail | |
| 3221 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_3q_1\tilde{q}_1$ + $ M_3\phi_1q_2\tilde{q}_2$ + $ M_3M_4$ | 0.5931 | 0.7477 | 0.7932 | [X:[], M:[1.0, 0.8948, 0.7105, 1.2895], q:[0.7632, 0.2368], qb:[0.5263, 0.5789], phi:[0.4737]] | t^2.29 + t^2.45 + t^2.68 + 2*t^2.84 + t^3. + t^3.71 + 2*t^3.87 + t^4.03 + 2*t^4.58 + 2*t^4.74 + 2*t^4.89 + 2*t^5.13 + 3*t^5.29 + t^5.37 + t^5.45 + 2*t^5.53 + 4*t^5.68 - 2*t^6. - t^4.42/y - t^4.42*y | detail | |
| 3222 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_3q_1\tilde{q}_1$ + $ M_3\phi_1q_2\tilde{q}_2$ + $ M_4\phi_1q_2\tilde{q}_1$ | 0.6318 | 0.8193 | 0.7712 | [X:[], M:[1.0, 0.8927, 0.7098, 0.7634], q:[0.7634, 0.2366], qb:[0.5268, 0.5805], phi:[0.4732]] | t^2.13 + 2*t^2.29 + t^2.45 + t^2.68 + 2*t^2.84 + t^3. + t^3.87 + t^4.03 + t^4.26 + 2*t^4.42 + 5*t^4.58 + 3*t^4.74 + t^4.81 + 2*t^4.9 + 3*t^4.97 + 5*t^5.13 + 4*t^5.29 + t^5.36 + t^5.45 + 2*t^5.52 + 4*t^5.68 - 2*t^6. - t^4.42/y - t^4.42*y | detail | |
| 3224 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_3q_1\tilde{q}_1$ + $ M_3\phi_1q_2\tilde{q}_2$ + $ M_4\phi_1q_2\tilde{q}_2$ | 0.6338 | 0.825 | 0.7683 | [X:[], M:[1.0, 0.8827, 0.706, 0.706], q:[0.7647, 0.2353], qb:[0.5293, 0.5879], phi:[0.4707]] | 2*t^2.12 + t^2.29 + t^2.47 + t^2.65 + 2*t^2.82 + t^3. + t^3.71 + t^4.06 + 3*t^4.24 + 2*t^4.41 + 4*t^4.59 + 2*t^4.76 + 2*t^4.77 + 6*t^4.94 + 4*t^5.12 + 3*t^5.29 + t^5.3 + 3*t^5.47 + 4*t^5.65 + 2*t^5.82 - 2*t^6. - t^4.41/y - t^4.41*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1715 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_3q_1\tilde{q}_1$ | 0.6151 | 0.7899 | 0.7787 | [X:[], M:[1.0, 0.877, 0.6721], q:[0.7654, 0.2346], qb:[0.5625, 0.5605], phi:[0.4693]] | t^2.02 + 2*t^2.39 + t^2.63 + 2*t^2.82 + t^3. + t^3.79 + t^3.8 + t^3.98 + t^4.03 + t^4.4 + t^4.41 + t^4.65 + 2*t^4.77 + 4*t^4.78 + 2*t^4.83 + t^5.02 + 2*t^5.2 + 2*t^5.21 + t^5.26 + 2*t^5.39 + 2*t^5.45 + 4*t^5.63 + t^5.81 + 2*t^5.82 - 3*t^6. - t^4.41/y - t^4.41*y | detail |