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 |
|---|---|---|---|---|---|---|---|---|---|
| 81 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ | 0.7025 | 0.8516 | 0.8249 | [M:[0.6751, 0.8682], q:[0.8071, 0.5178], qb:[0.5659, 0.5659], phi:[0.3858]] | [M:[[-8, -1, -1], [0, -7, -7]], 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 |
|---|---|---|---|---|
| ${}M_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{4}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$ | ${}$ | -5 | t^2.025 + t^2.315 + t^2.605 + 2*t^3.251 + t^4.051 + 2*t^4.119 + t^4.264 + t^4.34 + 2*t^4.409 + 3*t^4.553 + 2*t^4.63 + t^4.92 + t^5.209 + 2*t^5.276 + 2*t^5.566 - 5*t^6. + t^6.076 + t^6.366 + 2*t^6.434 + 3*t^6.502 + 3*t^6.578 + t^6.579 + 2*t^6.655 + 2*t^6.724 + 2*t^6.868 + t^6.869 + 2*t^6.945 - t^7.157 + 2*t^7.235 + 3*t^7.37 + 2*t^7.515 + t^7.524 + 2*t^7.591 + 3*t^7.66 + 4*t^7.804 + t^7.814 + 2*t^7.881 - t^7.949 - 5*t^8.025 - 2*t^8.094 + t^8.101 - 5*t^8.315 + t^8.391 + 4*t^8.528 + 3*t^8.604 - 2*t^8.605 + 4*t^8.672 + 2*t^8.673 + 2*t^8.681 + 2*t^8.749 + 5*t^8.817 + 3*t^8.893 + t^8.894 + 2*t^8.961 + 2*t^8.97 - t^4.157/y - t^6.183/y - t^6.472/y - t^6.762/y + t^7.34/y + t^7.553/y + t^7.63/y + t^7.843/y + t^7.92/y + t^8.132/y - t^8.208/y + (2*t^8.276)/y - t^8.498/y + (2*t^8.566)/y - (2*t^8.787)/y + (2*t^8.856)/y - t^4.157*y - t^6.183*y - t^6.472*y - t^6.762*y + t^7.34*y + t^7.553*y + t^7.63*y + t^7.843*y + t^7.92*y + t^8.132*y - t^8.208*y + 2*t^8.276*y - t^8.498*y + 2*t^8.566*y - 2*t^8.787*y + 2*t^8.856*y | t^2.025/(g1^8*g2*g3) + t^2.315/(g1^4*g2^4*g3^4) + t^2.605/(g2^7*g3^7) + g1^7*g2^7*t^3.251 + g1^7*g3^7*t^3.251 + t^4.051/(g1^16*g2^2*g3^2) + g1*g2^8*g3*t^4.119 + g1*g2*g3^8*t^4.119 + (g1^12*t^4.264)/(g2^2*g3^2) + t^4.34/(g1^12*g2^5*g3^5) + (g1^5*g2^5*t^4.409)/g3^2 + (g1^5*g3^5*t^4.409)/g2^2 + (g2^12*t^4.553)/(g1^2*g3^2) + (g2^5*g3^5*t^4.553)/g1^2 + (g3^12*t^4.553)/(g1^2*g2^2) + (2*t^4.63)/(g1^8*g2^8*g3^8) + t^4.92/(g1^4*g2^11*g3^11) + t^5.209/(g2^14*g3^14) + (g2^6*t^5.276)/(g1*g3) + (g3^6*t^5.276)/(g1*g2) + (g1^3*g2^3*t^5.566)/g3^4 + (g1^3*g3^3*t^5.566)/g2^4 - 3*t^6. - (g2^7*t^6.)/g3^7 - (g3^7*t^6.)/g2^7 + t^6.076/(g1^24*g2^3*g3^3) + t^6.366/(g1^20*g2^6*g3^6) + (g2^4*t^6.434)/(g1^3*g3^3) + (g3^4*t^6.434)/(g1^3*g2^3) + g1^14*g2^14*t^6.502 + g1^14*g2^7*g3^7*t^6.502 + g1^14*g3^14*t^6.502 + (g2^11*t^6.578)/(g1^10*g3^3) + (g2^4*g3^4*t^6.578)/g1^10 + (g3^11*t^6.578)/(g1^10*g2^3) + (g1^8*t^6.579)/(g2^6*g3^6) + (2*t^6.655)/(g1^16*g2^9*g3^9) + (g1*g2*t^6.724)/g3^6 + (g1*g3*t^6.724)/g2^6 + (g2^8*t^6.868)/(g1^6*g3^6) + (g3^8*t^6.868)/(g1^6*g2^6) + (g1^12*t^6.869)/(g2^9*g3^9) + (2*t^6.945)/(g1^12*g2^12*g3^12) - t^7.157/(g1^2*g2^2*g3^2) + (2*t^7.235)/(g1^8*g2^15*g3^15) + g1^8*g2^15*g3*t^7.37 + g1^8*g2^8*g3^8*t^7.37 + g1^8*g2*g3^15*t^7.37 + (g1^19*g2^5*t^7.515)/g3^2 + (g1^19*g3^5*t^7.515)/g2^2 + t^7.524/(g1^4*g2^18*g3^18) + (g2^2*t^7.591)/(g1^5*g3^5) + (g3^2*t^7.591)/(g1^5*g2^5) + (g1^12*g2^12*t^7.66)/g3^2 + g1^12*g2^5*g3^5*t^7.66 + (g1^12*g3^12*t^7.66)/g2^2 + (g1^5*g2^19*t^7.804)/g3^2 + g1^5*g2^12*g3^5*t^7.804 + g1^5*g2^5*g3^12*t^7.804 + (g1^5*g3^19*t^7.804)/g2^2 + t^7.814/(g2^21*g3^21) + t^7.881/(g1*g2*g3^8) + t^7.881/(g1*g2^8*g3) - g1^16*g2^2*g3^2*t^7.949 - (g2^6*t^8.025)/(g1^8*g3^8) - (3*t^8.025)/(g1^8*g2*g3) - (g3^6*t^8.025)/(g1^8*g2^8) - g1^9*g2^9*g3^2*t^8.094 - g1^9*g2^2*g3^9*t^8.094 + t^8.101/(g1^32*g2^4*g3^4) - (g2^3*t^8.315)/(g1^4*g3^11) - (3*t^8.315)/(g1^4*g2^4*g3^4) - (g3^3*t^8.315)/(g1^4*g2^11) + t^8.391/(g1^28*g2^7*g3^7) + (g1^24*t^8.528)/(g2^4*g3^4) + (g1^6*g2^13*t^8.528)/g3 + g1^6*g2^6*g3^6*t^8.528 + (g1^6*g3^13*t^8.528)/g2 + (g2^10*t^8.604)/(g1^18*g3^4) + (g2^3*g3^3*t^8.604)/g1^18 + (g3^10*t^8.604)/(g1^18*g2^4) - (2*t^8.605)/(g2^7*g3^7) + (g2^20*t^8.672)/(g1*g3) + (g2^13*g3^6*t^8.672)/g1 + (g2^6*g3^13*t^8.672)/g1 + (g3^20*t^8.672)/(g1*g2) + (g1^17*g2^3*t^8.673)/g3^4 + (g1^17*g3^3*t^8.673)/g2^4 + (2*t^8.681)/(g1^24*g2^10*g3^10) + t^8.749/(g1^7*g2^7) + t^8.749/(g1^7*g3^7) + (2*g1^10*g2^10*t^8.817)/g3^4 + g1^10*g2^3*g3^3*t^8.817 + (2*g1^10*g3^10*t^8.817)/g2^4 + t^8.893/g1^14 + (g2^7*t^8.893)/(g1^14*g3^7) + (g3^7*t^8.893)/(g1^14*g2^7) + (g1^4*t^8.894)/(g2^10*g3^10) + (g1^3*g2^17*t^8.961)/g3^4 + (g1^3*g3^17*t^8.961)/g2^4 + (2*t^8.97)/(g1^20*g2^13*g3^13) - t^4.157/(g1^2*g2^2*g3^2*y) - t^6.183/(g1^10*g2^3*g3^3*y) - t^6.472/(g1^6*g2^6*g3^6*y) - t^6.762/(g1^2*g2^9*g3^9*y) + t^7.34/(g1^12*g2^5*g3^5*y) + (g2^5*g3^5*t^7.553)/(g1^2*y) + t^7.63/(g1^8*g2^8*g3^8*y) + (g1^2*g2^2*g3^2*t^7.843)/y + t^7.92/(g1^4*g2^11*g3^11*y) + (g1^6*t^8.132)/(g2*g3*y) - t^8.208/(g1^18*g2^4*g3^4*y) + (g2^6*t^8.276)/(g1*g3*y) + (g3^6*t^8.276)/(g1*g2*y) - t^8.498/(g1^14*g2^7*g3^7*y) + (g1^3*g2^3*t^8.566)/(g3^4*y) + (g1^3*g3^3*t^8.566)/(g2^4*y) - (2*t^8.787)/(g1^10*g2^10*g3^10*y) + (g1^7*t^8.856)/(g2^7*y) + (g1^7*t^8.856)/(g3^7*y) - (t^4.157*y)/(g1^2*g2^2*g3^2) - (t^6.183*y)/(g1^10*g2^3*g3^3) - (t^6.472*y)/(g1^6*g2^6*g3^6) - (t^6.762*y)/(g1^2*g2^9*g3^9) + (t^7.34*y)/(g1^12*g2^5*g3^5) + (g2^5*g3^5*t^7.553*y)/g1^2 + (t^7.63*y)/(g1^8*g2^8*g3^8) + g1^2*g2^2*g3^2*t^7.843*y + (t^7.92*y)/(g1^4*g2^11*g3^11) + (g1^6*t^8.132*y)/(g2*g3) - (t^8.208*y)/(g1^18*g2^4*g3^4) + (g2^6*t^8.276*y)/(g1*g3) + (g3^6*t^8.276*y)/(g1*g2) - (t^8.498*y)/(g1^14*g2^7*g3^7) + (g1^3*g2^3*t^8.566*y)/g3^4 + (g1^3*g3^3*t^8.566*y)/g2^4 - (2*t^8.787*y)/(g1^10*g2^10*g3^10) + (g1^7*t^8.856*y)/g2^7 + (g1^7*t^8.856*y)/g3^7 |
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 |
|---|---|---|---|---|---|---|---|---|
| 131 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ | 0.5887 | 0.7456 | 0.7895 | [M:[0.9784, 1.0648], q:[0.7446, 0.277], qb:[0.4676, 0.4676], phi:[0.5108]] | 2*t^2.234 + t^2.935 + t^3.065 + 2*t^3.195 + 2*t^3.637 + 2*t^3.766 + 3*t^4.338 + 3*t^4.468 + 2*t^5.169 + 2*t^5.299 + 2*t^5.428 + 4*t^5.87 - t^6. - t^4.532/y - t^4.532*y | detail | |
| 130 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ | 0.5943 | 0.7486 | 0.7938 | [M:[1.0, 0.8787], q:[0.7652, 0.2348], qb:[0.5607, 0.5607], phi:[0.4697]] | 2*t^2.387 + t^2.636 + 2*t^2.818 + t^3. + 2*t^3.796 + 2*t^3.978 + 6*t^4.773 + 4*t^5.204 + t^5.272 + 2*t^5.387 + 2*t^5.454 + 4*t^5.636 + t^5.818 - 5*t^6. - t^4.409/y - t^4.409*y | detail | |
| 134 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{3}$ | 0.694 | 0.8411 | 0.8251 | [M:[0.6741, 0.9479, 1.0521], q:[0.7973, 0.5287], qb:[0.5261, 0.5261], phi:[0.4055]] | t^2.022 + t^2.433 + t^3.156 + 2*t^3.164 + 2*t^3.97 + t^4.045 + 3*t^4.373 + 2*t^4.381 + t^4.388 + t^4.455 + t^4.866 + t^5.179 + 2*t^5.186 + t^5.589 + 2*t^5.597 - 5*t^6. - t^4.216/y - t^4.216*y | detail | |
| 132 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ | 0.6721 | 0.8254 | 0.8143 | [M:[0.715, 1.095], q:[0.7738, 0.5113], qb:[0.4525, 0.4525], phi:[0.4525]] | t^2.145 + t^2.715 + 2*t^2.891 + t^3.285 + 2*t^3.679 + 3*t^4.072 + 2*t^4.249 + t^4.29 + t^4.425 + t^4.86 + 2*t^5.036 + 2*t^5.43 + 2*t^5.606 + 3*t^5.783 - 4*t^6. - t^4.357/y - t^4.357*y | detail | |
| 133 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}^{2}$ | 0.6926 | 0.8437 | 0.8209 | [M:[0.6734, 1.0], q:[0.7908, 0.5357], qb:[0.5, 0.5], phi:[0.4184]] | t^2.02 + t^2.51 + t^3. + 2*t^3.107 + 2*t^3.872 + t^4.041 + 3*t^4.255 + 2*t^4.362 + t^4.469 + t^4.531 + 2*t^5.02 + 2*t^5.128 + t^5.51 + 2*t^5.617 - 4*t^6. - t^4.255/y - t^4.255*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 |
|---|---|---|---|---|---|---|---|---|---|
| 55 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ | 0.7382 | 0.8885 | 0.8308 | [M:[0.8108, 0.8108], q:[0.5946, 0.5946], qb:[0.5946, 0.5946], phi:[0.4054]] | 3*t^2.432 + 4*t^3.568 + 10*t^4.784 + 6*t^4.865 - 4*t^6. - t^4.216/y - t^4.216*y | detail |