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 |
|---|---|---|---|---|---|---|---|---|---|
| 2779 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ | 0.6504 | 0.8579 | 0.7582 | [M:[1.0, 1.0491, 0.9019, 0.7299, 0.6965, 0.6808], q:[0.7623, 0.2377], qb:[0.5569, 0.5412], phi:[0.4755]] | [M:[[0, 0], [4, 4], [-8, -8], [-5, 3], [-1, -9], [-9, -1]], q:[[1, 1], [-1, -1]], qb:[[8, 0], [0, 8]], phi:[[-2, -2]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }M_{5}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{3}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{5}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{4}M_{5}$, ${ }M_{4}^{2}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{3}M_{4}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{1}M_{4}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{3}\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{3}$, ${ }\phi_{1}^{2}q_{2}^{4}$, ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ | ${}$ | -2 | t^2.042 + t^2.09 + t^2.19 + t^2.337 + t^2.384 + t^2.706 + t^2.853 + t^3. + t^3.147 + t^3.763 + t^4.085 + t^4.132 + t^4.179 + t^4.232 + t^4.279 + 2*t^4.379 + 2*t^4.426 + t^4.474 + t^4.526 + t^4.574 + 2*t^4.674 + 2*t^4.721 + t^4.748 + 2*t^4.768 + t^4.795 + 2*t^4.895 + t^4.942 + 2*t^5.042 + t^5.09 + 3*t^5.19 + 2*t^5.237 + 2*t^5.337 + t^5.384 + t^5.411 + t^5.484 + t^5.531 + t^5.558 + 2*t^5.706 + t^5.806 + 2*t^5.853 - 2*t^6. - t^6.047 + t^6.1 + t^6.127 + t^6.147 + t^6.174 + t^6.222 + t^6.269 + t^6.275 + t^6.322 + t^6.369 + 2*t^6.422 + 3*t^6.469 + t^6.516 + t^6.563 + 2*t^6.569 + 2*t^6.616 + 3*t^6.716 + 4*t^6.763 + t^6.791 + 2*t^6.81 + t^6.838 + 2*t^6.858 + 2*t^6.863 + t^6.885 + t^6.91 + 2*t^6.938 + 2*t^6.985 + 2*t^7.01 + t^7.032 + 2*t^7.058 + 3*t^7.085 + 2*t^7.105 + 2*t^7.132 + 2*t^7.152 + t^7.179 + 4*t^7.232 + 4*t^7.279 + 2*t^7.326 + 4*t^7.379 + 2*t^7.426 + t^7.454 + t^7.474 + t^7.501 + 5*t^7.526 + 2*t^7.574 + 2*t^7.601 + 2*t^7.621 + t^7.648 + 2*t^7.674 + t^7.721 + 3*t^7.748 + t^7.768 + 2*t^7.795 + t^7.821 + t^7.848 + t^7.868 + 4*t^7.895 + t^7.915 + 2*t^7.942 - 2*t^8.09 + t^8.117 - t^8.137 + t^8.142 + t^8.17 + t^8.217 + 2*t^8.264 + t^8.311 + t^8.317 - 3*t^8.337 + t^8.358 + t^8.364 - 4*t^8.384 + 3*t^8.411 - t^8.431 + 2*t^8.437 + t^8.458 + 2*t^8.464 + 3*t^8.511 + 4*t^8.558 + t^8.606 + 2*t^8.611 - t^8.631 + t^8.653 + 3*t^8.658 - t^8.678 - t^8.706 + 4*t^8.758 + 4*t^8.806 + t^8.833 + t^8.88 + t^8.9 + 3*t^8.906 + t^8.927 + 2*t^8.947 + 3*t^8.953 + t^8.974 + 2*t^8.98 - t^4.426/y - t^6.469/y - t^6.516/y - t^6.616/y + t^7.232/y + t^7.279/y + t^7.379/y + (2*t^7.426)/y + t^7.474/y + t^7.526/y + t^7.574/y + (2*t^7.721)/y + t^7.748/y + t^7.795/y + (2*t^7.895)/y + t^7.942/y + (3*t^8.042)/y + (2*t^8.09)/y + (3*t^8.19)/y + (3*t^8.237)/y + (3*t^8.337)/y + (2*t^8.384)/y + t^8.484/y - t^8.511/y + t^8.531/y - t^8.606/y - t^8.658/y + (3*t^8.853)/y + t^8.953/y - t^4.426*y - t^6.469*y - t^6.516*y - t^6.616*y + t^7.232*y + t^7.279*y + t^7.379*y + 2*t^7.426*y + t^7.474*y + t^7.526*y + t^7.574*y + 2*t^7.721*y + t^7.748*y + t^7.795*y + 2*t^7.895*y + t^7.942*y + 3*t^8.042*y + 2*t^8.09*y + 3*t^8.19*y + 3*t^8.237*y + 3*t^8.337*y + 2*t^8.384*y + t^8.484*y - t^8.511*y + t^8.531*y - t^8.606*y - t^8.658*y + 3*t^8.853*y + t^8.953*y | t^2.042/(g1^9*g2) + t^2.09/(g1*g2^9) + (g2^3*t^2.19)/g1^5 + (g2^7*t^2.337)/g1 + (g1^7*t^2.384)/g2 + t^2.706/(g1^8*g2^8) + t^2.853/(g1^4*g2^4) + t^3. + g1^4*g2^4*t^3.147 + (g2^5*t^3.763)/g1^3 + t^4.085/(g1^18*g2^2) + t^4.132/(g1^10*g2^10) + t^4.179/(g1^2*g2^18) + (g2^2*t^4.232)/g1^14 + t^4.279/(g1^6*g2^6) + (2*g2^6*t^4.379)/g1^10 + (2*t^4.426)/(g1^2*g2^2) + (g1^6*t^4.474)/g2^10 + (g2^10*t^4.526)/g1^6 + g1^2*g2^2*t^4.574 + (2*g2^14*t^4.674)/g1^2 + 2*g1^6*g2^6*t^4.721 + t^4.748/(g1^17*g2^9) + (2*g1^14*t^4.768)/g2^2 + t^4.795/(g1^9*g2^17) + (2*t^4.895)/(g1^13*g2^5) + t^4.942/(g1^5*g2^13) + (2*t^5.042)/(g1^9*g2) + t^5.09/(g1*g2^9) + (3*g2^3*t^5.19)/g1^5 + (2*g1^3*t^5.237)/g2^5 + (2*g2^7*t^5.337)/g1 + (g1^7*t^5.384)/g2 + t^5.411/(g1^16*g2^16) + g1^3*g2^11*t^5.484 + g1^11*g2^3*t^5.531 + t^5.558/(g1^12*g2^12) + (2*t^5.706)/(g1^8*g2^8) + (g2^4*t^5.806)/g1^12 + (2*t^5.853)/(g1^4*g2^4) - 2*t^6. - (g1^8*t^6.047)/g2^8 + (g2^12*t^6.1)/g1^4 + t^6.127/(g1^27*g2^3) + g1^4*g2^4*t^6.147 + t^6.174/(g1^19*g2^11) + t^6.222/(g1^11*g2^19) + t^6.269/(g1^3*g2^27) + (g2*t^6.275)/g1^23 + t^6.322/(g1^15*g2^7) + t^6.369/(g1^7*g2^15) + (2*g2^5*t^6.422)/g1^19 + (3*t^6.469)/(g1^11*g2^3) + t^6.516/(g1^3*g2^11) + (g1^5*t^6.563)/g2^19 + (2*g2^9*t^6.569)/g1^15 + (2*g2*t^6.616)/g1^7 + (3*g2^13*t^6.716)/g1^11 + (4*g2^5*t^6.763)/g1^3 + t^6.791/(g1^26*g2^10) + (2*g1^5*t^6.81)/g2^3 + t^6.838/(g1^18*g2^18) + (2*g1^13*t^6.858)/g2^11 + (2*g2^17*t^6.863)/g1^7 + t^6.885/(g1^10*g2^26) + g1*g2^9*t^6.91 + (2*t^6.938)/(g1^22*g2^6) + (2*t^6.985)/(g1^14*g2^14) + (2*g2^21*t^7.01)/g1^3 + t^7.032/(g1^6*g2^22) + 2*g1^5*g2^13*t^7.058 + (3*t^7.085)/(g1^18*g2^2) + 2*g1^13*g2^5*t^7.105 + (2*t^7.132)/(g1^10*g2^10) + (2*g1^21*t^7.152)/g2^3 + t^7.179/(g1^2*g2^18) + (4*g2^2*t^7.232)/g1^14 + (4*t^7.279)/(g1^6*g2^6) + (2*g1^2*t^7.326)/g2^14 + (4*g2^6*t^7.379)/g1^10 + (2*t^7.426)/(g1^2*g2^2) + t^7.454/(g1^25*g2^17) + (g1^6*t^7.474)/g2^10 + t^7.501/(g1^17*g2^25) + (5*g2^10*t^7.526)/g1^6 + 2*g1^2*g2^2*t^7.574 + (2*t^7.601)/(g1^21*g2^13) + (2*g1^10*t^7.621)/g2^6 + t^7.648/(g1^13*g2^21) + (2*g2^14*t^7.674)/g1^2 + g1^6*g2^6*t^7.721 + (3*t^7.748)/(g1^17*g2^9) + (g1^14*t^7.768)/g2^2 + (2*t^7.795)/(g1^9*g2^17) + g1^2*g2^18*t^7.821 + (g2^3*t^7.848)/g1^21 + g1^10*g2^10*t^7.868 + (4*t^7.895)/(g1^13*g2^5) + g1^18*g2^2*t^7.915 + (2*t^7.942)/(g1^5*g2^13) - (2*t^8.09)/(g1*g2^9) + t^8.117/(g1^24*g2^24) - (g1^7*t^8.137)/g2^17 + (g2^11*t^8.142)/g1^13 + t^8.17/(g1^36*g2^4) + t^8.217/(g1^28*g2^12) + (2*t^8.264)/(g1^20*g2^20) + t^8.311/(g1^12*g2^28) + t^8.317/g1^32 - (3*g2^7*t^8.337)/g1 + t^8.358/(g1^4*g2^36) + t^8.364/(g1^24*g2^8) - (4*g1^7*t^8.384)/g2 + (3*t^8.411)/(g1^16*g2^16) - (g1^15*t^8.431)/g2^9 + (2*g2^19*t^8.437)/g1^5 + t^8.458/(g1^8*g2^24) + (2*g2^4*t^8.464)/g1^28 + (3*t^8.511)/(g1^20*g2^4) + (4*t^8.558)/(g1^12*g2^12) + t^8.606/(g1^4*g2^20) + (2*g2^8*t^8.611)/g1^24 - g1^7*g2^15*t^8.631 + (g1^4*t^8.653)/g2^28 + (3*t^8.658)/g1^16 - g1^15*g2^7*t^8.678 - t^8.706/(g1^8*g2^8) + (4*g2^12*t^8.758)/g1^20 + (4*g2^4*t^8.806)/g1^12 + t^8.833/(g1^35*g2^11) + t^8.88/(g1^27*g2^19) + (g1^4*t^8.9)/g2^12 + (3*g2^16*t^8.906)/g1^16 + t^8.927/(g1^19*g2^27) + (2*g1^12*t^8.947)/g2^20 + (3*g2^8*t^8.953)/g1^8 + t^8.974/(g1^11*g2^35) + (2*t^8.98)/(g1^31*g2^7) - t^4.426/(g1^2*g2^2*y) - t^6.469/(g1^11*g2^3*y) - t^6.516/(g1^3*g2^11*y) - (g2*t^6.616)/(g1^7*y) + (g2^2*t^7.232)/(g1^14*y) + t^7.279/(g1^6*g2^6*y) + (g2^6*t^7.379)/(g1^10*y) + (2*t^7.426)/(g1^2*g2^2*y) + (g1^6*t^7.474)/(g2^10*y) + (g2^10*t^7.526)/(g1^6*y) + (g1^2*g2^2*t^7.574)/y + (2*g1^6*g2^6*t^7.721)/y + t^7.748/(g1^17*g2^9*y) + t^7.795/(g1^9*g2^17*y) + (2*t^7.895)/(g1^13*g2^5*y) + t^7.942/(g1^5*g2^13*y) + (3*t^8.042)/(g1^9*g2*y) + (2*t^8.09)/(g1*g2^9*y) + (3*g2^3*t^8.19)/(g1^5*y) + (3*g1^3*t^8.237)/(g2^5*y) + (3*g2^7*t^8.337)/(g1*y) + (2*g1^7*t^8.384)/(g2*y) + (g1^3*g2^11*t^8.484)/y - t^8.511/(g1^20*g2^4*y) + (g1^11*g2^3*t^8.531)/y - t^8.606/(g1^4*g2^20*y) - t^8.658/(g1^16*y) + (3*t^8.853)/(g1^4*g2^4*y) + (g2^8*t^8.953)/(g1^8*y) - (t^4.426*y)/(g1^2*g2^2) - (t^6.469*y)/(g1^11*g2^3) - (t^6.516*y)/(g1^3*g2^11) - (g2*t^6.616*y)/g1^7 + (g2^2*t^7.232*y)/g1^14 + (t^7.279*y)/(g1^6*g2^6) + (g2^6*t^7.379*y)/g1^10 + (2*t^7.426*y)/(g1^2*g2^2) + (g1^6*t^7.474*y)/g2^10 + (g2^10*t^7.526*y)/g1^6 + g1^2*g2^2*t^7.574*y + 2*g1^6*g2^6*t^7.721*y + (t^7.748*y)/(g1^17*g2^9) + (t^7.795*y)/(g1^9*g2^17) + (2*t^7.895*y)/(g1^13*g2^5) + (t^7.942*y)/(g1^5*g2^13) + (3*t^8.042*y)/(g1^9*g2) + (2*t^8.09*y)/(g1*g2^9) + (3*g2^3*t^8.19*y)/g1^5 + (3*g1^3*t^8.237*y)/g2^5 + (3*g2^7*t^8.337*y)/g1 + (2*g1^7*t^8.384*y)/g2 + g1^3*g2^11*t^8.484*y - (t^8.511*y)/(g1^20*g2^4) + g1^11*g2^3*t^8.531*y - (t^8.606*y)/(g1^4*g2^20) - (t^8.658*y)/g1^16 + (3*t^8.853*y)/(g1^4*g2^4) + (g2^8*t^8.953*y)/g1^8 |
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 |
|---|---|---|---|---|---|---|---|---|
| 3293 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6484 | 0.8534 | 0.7598 | [M:[1.0, 1.0393, 0.9214, 0.7598, 0.6812, 0.7205], q:[0.7598, 0.2402], qb:[0.5196, 0.5589], phi:[0.4804]] | t^2.044 + t^2.162 + 2*t^2.279 + t^2.397 + t^2.764 + t^2.882 + t^3. + t^3.118 + t^3.838 + t^4.087 + t^4.205 + 3*t^4.323 + 3*t^4.441 + 5*t^4.559 + 3*t^4.677 + 2*t^4.795 + t^4.808 + 2*t^4.926 + 3*t^5.044 + 4*t^5.162 + 4*t^5.279 + 3*t^5.397 + t^5.515 + t^5.528 + t^5.646 + 2*t^5.764 + t^5.882 - t^6. - t^4.441/y - t^4.441*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1776 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ | 0.6297 | 0.8172 | 0.7705 | [M:[1.0, 1.047, 0.906, 0.7326, 0.6969], q:[0.7617, 0.2383], qb:[0.5526, 0.5414], phi:[0.4765]] | t^2.091 + t^2.198 + t^2.339 + t^2.373 + t^2.718 + t^2.859 + t^3. + t^3.141 + t^3.768 + t^3.943 + t^4.181 + t^4.289 + t^4.396 + t^4.43 + t^4.463 + t^4.537 + t^4.57 + 2*t^4.678 + 2*t^4.711 + 2*t^4.745 + t^4.809 + t^4.916 + t^4.95 + t^5.057 + t^5.091 + 2*t^5.198 + 2*t^5.232 + 2*t^5.339 + t^5.373 + t^5.436 + t^5.48 + t^5.514 + t^5.577 + 2*t^5.718 + 2*t^5.859 - 2*t^6. - t^4.43/y - t^4.43*y | detail |