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 |
|---|---|---|---|---|---|---|---|---|---|
| 1668 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ | 0.6817 | 0.8108 | 0.8408 | [M:[0.8681], q:[0.8067, 0.5659], qb:[0.5659, 0.515], phi:[0.3866]] | [M:[[-7, -7, 0]], q:[[1, 1, 1], [7, 0, 0]], qb:[[0, 7, 0], [0, 0, 7]], phi:[[-2, -2, -2]]] | 3 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}\phi_{1}^{2}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ | ${}$ | -5 | t^2.32 + t^2.604 + 2*t^3.243 + t^3.965 + 2*t^4.118 + t^4.25 + 2*t^4.403 + 3*t^4.555 + t^4.639 + t^4.924 + t^5.209 + 2*t^5.562 - 5*t^6. - 2*t^6.153 + 3*t^6.485 + 2*t^6.569 + 2*t^6.722 + t^6.854 + 2*t^6.875 + t^6.959 - t^7.16 + 2*t^7.208 + t^7.244 - 2*t^7.313 + 3*t^7.361 + 2*t^7.492 + t^7.528 + 3*t^7.645 + 4*t^7.798 + t^7.813 + 2*t^7.882 + t^8.215 - 5*t^8.32 + 2*t^8.367 - 2*t^8.473 + t^8.499 + 3*t^8.52 - 2*t^8.604 + 2*t^8.652 + 4*t^8.673 + 5*t^8.805 + t^8.889 + t^8.91 + 2*t^8.958 - t^4.16/y - t^6.48/y - t^6.764/y + t^7.555/y + t^7.84/y + t^7.924/y + (2*t^8.562)/y - t^8.799/y + (2*t^8.847)/y - t^4.16*y - t^6.48*y - t^6.764*y + t^7.555*y + t^7.84*y + t^7.924*y + 2*t^8.562*y - t^8.799*y + 2*t^8.847*y | t^2.32/(g1^4*g2^4*g3^4) + t^2.604/(g1^7*g2^7) + g1^7*g3^7*t^3.243 + g2^7*g3^7*t^3.243 + g1*g2*g3^8*t^3.965 + g1^8*g2*g3*t^4.118 + g1*g2^8*g3*t^4.118 + (g3^12*t^4.25)/(g1^2*g2^2) + (g1^5*g3^5*t^4.403)/g2^2 + (g2^5*g3^5*t^4.403)/g1^2 + (g1^12*t^4.555)/(g2^2*g3^2) + (g1^5*g2^5*t^4.555)/g3^2 + (g2^12*t^4.555)/(g1^2*g3^2) + t^4.639/(g1^8*g2^8*g3^8) + t^4.924/(g1^11*g2^11*g3^4) + t^5.209/(g1^14*g2^14) + (g1^3*g3^3*t^5.562)/g2^4 + (g2^3*g3^3*t^5.562)/g1^4 - 3*t^6. - (g1^7*t^6.)/g2^7 - (g2^7*t^6.)/g1^7 - (g1^7*t^6.153)/g3^7 - (g2^7*t^6.153)/g3^7 + g1^14*g3^14*t^6.485 + g1^7*g2^7*g3^14*t^6.485 + g2^14*g3^14*t^6.485 + (2*g3^8*t^6.569)/(g1^6*g2^6) + (g1*g3*t^6.722)/g2^6 + (g2*g3*t^6.722)/g1^6 + (g3^12*t^6.854)/(g1^9*g2^9) + (g1^8*t^6.875)/(g2^6*g3^6) + (g2^8*t^6.875)/(g1^6*g3^6) + t^6.959/(g1^12*g2^12*g3^12) - t^7.16/(g1^2*g2^2*g3^2) + g1^8*g2*g3^15*t^7.208 + g1*g2^8*g3^15*t^7.208 + t^7.244/(g1^15*g2^15*g3^8) - (g1^5*t^7.313)/(g2^2*g3^9) - (g2^5*t^7.313)/(g1^2*g3^9) + g1^15*g2*g3^8*t^7.361 + g1^8*g2^8*g3^8*t^7.361 + g1*g2^15*g3^8*t^7.361 + (g1^5*g3^19*t^7.492)/g2^2 + (g2^5*g3^19*t^7.492)/g1^2 + t^7.528/(g1^18*g2^18*g3^4) + (g1^12*g3^12*t^7.645)/g2^2 + g1^5*g2^5*g3^12*t^7.645 + (g2^12*g3^12*t^7.645)/g1^2 + (g1^19*g3^5*t^7.798)/g2^2 + g1^12*g2^5*g3^5*t^7.798 + g1^5*g2^12*g3^5*t^7.798 + (g2^19*g3^5*t^7.798)/g1^2 + t^7.813/(g1^21*g2^21) + t^7.882/(g1*g2^8*g3) + t^7.882/(g1^8*g2*g3) + (g3^20*t^8.215)/(g1*g2) - (g1^3*t^8.32)/(g2^11*g3^4) - (3*t^8.32)/(g1^4*g2^4*g3^4) - (g2^3*t^8.32)/(g1^11*g3^4) + (g1^6*g3^13*t^8.367)/g2 + (g2^6*g3^13*t^8.367)/g1 - (g1^3*t^8.473)/(g2^4*g3^11) - (g2^3*t^8.473)/(g1^4*g3^11) + (g3^24*t^8.499)/(g1^4*g2^4) + (g1^13*g3^6*t^8.52)/g2 + g1^6*g2^6*g3^6*t^8.52 + (g2^13*g3^6*t^8.52)/g1 - (2*t^8.604)/(g1^7*g2^7) + (g1^3*g3^17*t^8.652)/g2^4 + (g2^3*g3^17*t^8.652)/g1^4 + (g1^20*t^8.673)/(g2*g3) + (g1^13*g2^6*t^8.673)/g3 + (g1^6*g2^13*t^8.673)/g3 + (g2^20*t^8.673)/(g1*g3) + (2*g1^10*g3^10*t^8.805)/g2^4 + g1^3*g2^3*g3^10*t^8.805 + (2*g2^10*g3^10*t^8.805)/g1^4 + (g3^4*t^8.889)/(g1^10*g2^10) + t^8.91/g3^14 + (g1^17*g3^3*t^8.958)/g2^4 + (g2^17*g3^3*t^8.958)/g1^4 - t^4.16/(g1^2*g2^2*g3^2*y) - t^6.48/(g1^6*g2^6*g3^6*y) - t^6.764/(g1^9*g2^9*g3^2*y) + (g1^5*g2^5*t^7.555)/(g3^2*y) + (g1^2*g2^2*g3^2*t^7.84)/y + t^7.924/(g1^11*g2^11*g3^4*y) + (g1^3*g3^3*t^8.562)/(g2^4*y) + (g2^3*g3^3*t^8.562)/(g1^4*y) - t^8.799/(g1^10*g2^10*g3^10*y) + (g3^7*t^8.847)/(g1^7*y) + (g3^7*t^8.847)/(g2^7*y) - (t^4.16*y)/(g1^2*g2^2*g3^2) - (t^6.48*y)/(g1^6*g2^6*g3^6) - (t^6.764*y)/(g1^9*g2^9*g3^2) + (g1^5*g2^5*t^7.555*y)/g3^2 + g1^2*g2^2*g3^2*t^7.84*y + (t^7.924*y)/(g1^11*g2^11*g3^4) + (g1^3*g3^3*t^8.562*y)/g2^4 + (g2^3*g3^3*t^8.562*y)/g1^4 - (t^8.799*y)/(g1^10*g2^10*g3^10) + (g3^7*t^8.847*y)/g1^7 + (g3^7*t^8.847*y)/g2^7 |
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 |
|---|---|---|---|---|---|---|---|---|
| 65 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ | 0.6643 | 0.7825 | 0.849 | [M:[0.8927, 1.2048], q:[0.8012, 0.5537], qb:[0.5537, 0.501], phi:[0.3976]] | t^2.678 + 2*t^3.164 + t^3.614 + t^3.907 + 2*t^4.065 + t^4.199 + 2*t^4.357 + 3*t^4.515 + t^5.356 - 5*t^6. - t^4.193/y - t^4.193*y | detail | |
| 69 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ | 0.6924 | 0.8273 | 0.837 | [M:[0.8454, 0.8454], q:[0.8152, 0.6031], qb:[0.5515, 0.5515], phi:[0.3697]] | t^2.218 + 2*t^2.536 + t^3.309 + 2*t^4.1 + t^4.255 + 3*t^4.418 + t^4.436 + 2*t^4.573 + t^4.728 + 2*t^4.754 + 3*t^5.072 + t^5.527 - 5*t^6. - t^4.109/y - t^4.109*y | detail | |
| 68 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ | 0.4727 | 0.5351 | 0.8834 | [X:[1.5133], M:[0.7051], q:[0.8783, 0.9032], qb:[0.3917, 0.8535], phi:[0.2433]] | t^2.115 + t^3.08 + t^3.736 + t^3.81 + t^4.231 + t^4.54 + t^5.196 + t^5.851 - 2*t^6. - t^3.73/y - t^5.845/y - t^3.73*y - t^5.845*y | detail | |
| 45855 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}^{2}$ | 0.628 | 0.7573 | 0.8293 | [M:[0.7035], q:[0.8228, 0.8228], qb:[0.4737, 0.4628], phi:[0.3545]] | t^2.11 + t^2.127 + t^2.81 + t^3.84 + 2*t^3.857 + t^3.873 + t^3.89 + t^3.906 + t^4.221 + t^4.237 + t^4.254 + t^4.92 + 2*t^4.937 + t^5.62 + t^5.951 + 2*t^5.967 + t^5.984 - t^6. - t^4.063/y - t^4.063*y | detail | |
| 64 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ | 0.6155 | 0.7629 | 0.8067 | [M:[1.1409], q:[0.75, 0.4296], qb:[0.4296, 0.3909], phi:[0.5]] | 2*t^2.461 + t^3. + 2*t^3.423 + 2*t^3.539 + t^3.845 + 2*t^3.961 + 3*t^4.077 + 3*t^4.923 + 2*t^5.461 + 2*t^5.884 - t^6. - t^4.5/y - t^4.5*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 |
|---|---|---|---|---|---|---|---|---|---|
| 37 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ | 0.6732 | 0.8001 | 0.8414 | [q:[0.7969, 0.5261], qb:[0.5261, 0.5261], phi:[0.4062]] | t^2.437 + 3*t^3.157 + 3*t^3.969 + 6*t^4.375 + t^4.874 + 3*t^5.594 - 9*t^6. - t^4.219/y - t^4.219*y | detail |