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 |
|---|---|---|---|---|---|---|---|---|---|
| 4395 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{8}$ + ${ }M_{9}\phi_{1}\tilde{q}_{1}^{2}$ | 0.7346 | 0.9221 | 0.7967 | [M:[0.843, 1.0481, 1.0609, 0.9647, 0.9391, 1.0353, 0.8686, 0.9391, 0.6811], q:[0.6138, 0.5432], qb:[0.4215, 0.5176], phi:[0.476]] | [M:[[8, 0], [-2, 2], [-4, -4], [0, -8], [4, 4], [0, 8], [4, -12], [4, 4], [-9, 1]], q:[[-4, 8], [-4, -8]], qb:[[4, 0], [0, 4]], phi:[[1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{9}$, ${ }M_{1}$, ${ }M_{7}$, ${ }M_{5}$, ${ }M_{8}$, ${ }M_{4}$, ${ }M_{6}$, ${ }M_{2}$, ${ }M_{9}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{9}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{7}M_{9}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{5}M_{9}$, ${ }M_{8}M_{9}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}M_{9}$, ${ }M_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{6}M_{9}$, ${ }M_{2}M_{9}$, ${ }M_{7}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{1}M_{8}$, ${ }M_{1}M_{4}$, ${ }M_{5}M_{7}$, ${ }M_{7}M_{8}$, ${ }M_{4}M_{7}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{5}M_{8}$, ${ }M_{8}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{4}M_{5}$, ${ }M_{6}M_{7}$, ${ }M_{4}M_{8}$, ${ }M_{2}M_{7}$, ${ }M_{5}M_{6}$, ${ }M_{6}M_{8}$, ${ }M_{2}M_{5}$, ${ }M_{2}M_{8}$ | ${}$ | -3 | t^2.043 + t^2.529 + t^2.606 + 2*t^2.817 + t^2.894 + t^3.106 + t^3.144 + t^4.086 + t^4.245 + t^4.322 + 2*t^4.534 + t^4.572 + t^4.611 + t^4.649 + t^4.687 + t^4.822 + 2*t^4.861 + t^4.899 + t^4.937 + t^5.058 + t^5.111 + t^5.135 + t^5.149 + t^5.187 + t^5.211 + 2*t^5.346 + 2*t^5.423 + t^5.5 + 3*t^5.635 + t^5.673 + t^5.712 + t^5.75 + t^5.923 + 2*t^5.962 - 3*t^6. + t^6.038 - t^6.077 + t^6.13 + t^6.25 - t^6.288 + t^6.577 + t^6.615 + t^6.654 + t^6.692 + t^6.731 + t^6.774 + t^6.851 + t^6.865 + 2*t^6.904 + t^6.928 + t^6.942 + t^6.981 + 3*t^7.063 + 3*t^7.139 + t^7.154 + t^7.178 + t^7.192 + 2*t^7.216 + t^7.231 + t^7.255 + t^7.293 + 4*t^7.351 + 2*t^7.389 + 2*t^7.428 + 2*t^7.466 + 2*t^7.505 + t^7.543 + t^7.582 + t^7.587 + 3*t^7.64 + t^7.664 + 3*t^7.678 + t^7.716 + t^7.74 + t^7.755 + t^7.793 + t^7.817 + 2*t^7.875 + 2*t^7.928 + 2*t^7.952 + t^7.966 + t^8.005 + 2*t^8.029 - 3*t^8.043 + t^8.106 - t^8.12 + 3*t^8.164 + t^8.173 + t^8.202 + t^8.216 + t^8.24 + t^8.279 + t^8.317 - t^8.332 + t^8.356 + 3*t^8.452 + 2*t^8.491 - 4*t^8.529 + 2*t^8.567 - 4*t^8.606 + t^8.62 + t^8.644 + t^8.658 - t^8.683 + t^8.697 + t^8.735 + t^8.741 + t^8.774 + 4*t^8.779 - 8*t^8.817 + 2*t^8.856 - 5*t^8.894 + t^8.909 + t^8.933 + 2*t^8.947 - t^8.971 + t^8.985 - t^4.428/y - t^6.471/y - t^6.957/y - t^7.034/y - t^7.245/y + t^7.572/y + t^7.611/y + t^7.649/y + t^7.822/y + (2*t^7.861)/y + t^7.899/y + t^7.937/y + t^8.135/y + t^8.149/y + t^8.187/y + (2*t^8.346)/y + t^8.385/y + (3*t^8.423)/y + t^8.5/y - t^8.514/y + (2*t^8.635)/y + t^8.673/y + (3*t^8.712)/y + t^8.75/y + (2*t^8.923)/y + (2*t^8.962)/y - t^4.428*y - t^6.471*y - t^6.957*y - t^7.034*y - t^7.245*y + t^7.572*y + t^7.611*y + t^7.649*y + t^7.822*y + 2*t^7.861*y + t^7.899*y + t^7.937*y + t^8.135*y + t^8.149*y + t^8.187*y + 2*t^8.346*y + t^8.385*y + 3*t^8.423*y + t^8.5*y - t^8.514*y + 2*t^8.635*y + t^8.673*y + 3*t^8.712*y + t^8.75*y + 2*t^8.923*y + 2*t^8.962*y | (g2*t^2.043)/g1^9 + g1^8*t^2.529 + (g1^4*t^2.606)/g2^12 + 2*g1^4*g2^4*t^2.817 + t^2.894/g2^8 + g2^8*t^3.106 + (g2^2*t^3.144)/g1^2 + (g2^2*t^4.086)/g1^18 + g1^5*g2^3*t^4.245 + (g1*t^4.322)/g2^9 + 2*g1*g2^7*t^4.534 + (g2*t^4.572)/g1 + t^4.611/(g1^3*g2^5) + t^4.649/(g1^5*g2^11) + t^4.687/(g1^7*g2^17) + (g2^11*t^4.822)/g1^3 + (2*g2^5*t^4.861)/g1^5 + t^4.899/(g1^7*g2) + t^4.937/(g1^9*g2^7) + g1^16*t^5.058 + (g2^15*t^5.111)/g1^7 + (g1^12*t^5.135)/g2^12 + (g2^9*t^5.149)/g1^9 + (g2^3*t^5.187)/g1^11 + (g1^8*t^5.211)/g2^24 + 2*g1^12*g2^4*t^5.346 + (2*g1^8*t^5.423)/g2^8 + (g1^4*t^5.5)/g2^20 + 3*g1^8*g2^8*t^5.635 + g1^6*g2^2*t^5.673 + (g1^4*t^5.712)/g2^4 + (g1^2*t^5.75)/g2^10 + g1^4*g2^12*t^5.923 + 2*g1^2*g2^6*t^5.962 - 3*t^6. + t^6.038/(g1^2*g2^6) - t^6.077/(g1^4*g2^12) + (g2^3*t^6.13)/g1^27 + (g2^10*t^6.25)/g1^2 - (g2^4*t^6.288)/g1^4 + (g2^8*t^6.577)/g1^8 + (g2^2*t^6.615)/g1^10 + t^6.654/(g1^12*g2^4) + t^6.692/(g1^14*g2^10) + t^6.731/(g1^16*g2^16) + g1^13*g2^3*t^6.774 + (g1^9*t^6.851)/g2^9 + (g2^12*t^6.865)/g1^12 + (2*g2^6*t^6.904)/g1^14 + (g1^5*t^6.928)/g2^21 + t^6.942/g1^16 + t^6.981/(g1^18*g2^6) + 3*g1^9*g2^7*t^7.063 + (3*g1^5*t^7.139)/g2^5 + (g2^16*t^7.154)/g1^16 + (g1^3*t^7.178)/g2^11 + (g2^10*t^7.192)/g1^18 + (2*g1*t^7.216)/g2^17 + (g2^4*t^7.231)/g1^20 + t^7.255/(g1*g2^23) + t^7.293/(g1^3*g2^29) + 4*g1^5*g2^11*t^7.351 + 2*g1^3*g2^5*t^7.389 + (2*g1*t^7.428)/g2 + (2*t^7.466)/(g1*g2^7) + (2*t^7.505)/(g1^3*g2^13) + t^7.543/(g1^5*g2^19) + t^7.582/(g1^7*g2^25) + g1^24*t^7.587 + 3*g1*g2^15*t^7.64 + (g1^20*t^7.664)/g2^12 + (3*g2^9*t^7.678)/g1 + (g2^3*t^7.716)/g1^3 + (g1^16*t^7.74)/g2^24 + t^7.755/(g1^5*g2^3) + t^7.793/(g1^7*g2^9) + (g1^12*t^7.817)/g2^36 + 2*g1^20*g2^4*t^7.875 + (2*g2^19*t^7.928)/g1^3 + (2*g1^16*t^7.952)/g2^8 + (g2^13*t^7.966)/g1^5 + (g2^7*t^8.005)/g1^7 + (2*g1^12*t^8.029)/g2^20 - (3*g2*t^8.043)/g1^9 + (g1^8*t^8.106)/g2^32 - t^8.12/(g1^13*g2^11) + 3*g1^16*g2^8*t^8.164 + (g2^4*t^8.173)/g1^36 + g1^14*g2^2*t^8.202 + (g2^23*t^8.216)/g1^7 + (g1^12*t^8.24)/g2^4 + (g1^10*t^8.279)/g2^10 + (g1^8*t^8.317)/g2^16 - (g2^5*t^8.332)/g1^13 + (g1^6*t^8.356)/g2^22 + 3*g1^12*g2^12*t^8.452 + 2*g1^10*g2^6*t^8.491 - 4*g1^8*t^8.529 + (2*g1^6*t^8.567)/g2^6 - (4*g1^4*t^8.606)/g2^12 + (g2^9*t^8.62)/g1^17 + (g1^2*t^8.644)/g2^18 + (g2^3*t^8.658)/g1^19 - t^8.683/g2^24 + t^8.697/(g1^21*g2^3) + t^8.735/(g1^23*g2^9) + g1^8*g2^16*t^8.741 + t^8.774/(g1^25*g2^15) + 4*g1^6*g2^10*t^8.779 - 8*g1^4*g2^4*t^8.817 + (2*g1^2*t^8.856)/g2^2 - (5*t^8.894)/g2^8 + (g2^13*t^8.909)/g1^21 + t^8.933/(g1^2*g2^14) + (2*g2^7*t^8.947)/g1^23 - t^8.971/(g1^4*g2^20) + (g2*t^8.985)/g1^25 - (g1*t^4.428)/(g2*y) - t^6.471/(g1^8*y) - (g1^9*t^6.957)/(g2*y) - (g1^5*t^7.034)/(g2^13*y) - (g1^5*g2^3*t^7.245)/y + (g2*t^7.572)/(g1*y) + t^7.611/(g1^3*g2^5*y) + t^7.649/(g1^5*g2^11*y) + (g2^11*t^7.822)/(g1^3*y) + (2*g2^5*t^7.861)/(g1^5*y) + t^7.899/(g1^7*g2*y) + t^7.937/(g1^9*g2^7*y) + (g1^12*t^8.135)/(g2^12*y) + (g2^9*t^8.149)/(g1^9*y) + (g2^3*t^8.187)/(g1^11*y) + (2*g1^12*g2^4*t^8.346)/y + (g1^10*t^8.385)/(g2^2*y) + (3*g1^8*t^8.423)/(g2^8*y) + (g1^4*t^8.5)/(g2^20*y) - (g2*t^8.514)/(g1^17*y) + (2*g1^8*g2^8*t^8.635)/y + (g1^6*g2^2*t^8.673)/y + (3*g1^4*t^8.712)/(g2^4*y) + (g1^2*t^8.75)/(g2^10*y) + (2*g1^4*g2^12*t^8.923)/y + (2*g1^2*g2^6*t^8.962)/y - (g1*t^4.428*y)/g2 - (t^6.471*y)/g1^8 - (g1^9*t^6.957*y)/g2 - (g1^5*t^7.034*y)/g2^13 - g1^5*g2^3*t^7.245*y + (g2*t^7.572*y)/g1 + (t^7.611*y)/(g1^3*g2^5) + (t^7.649*y)/(g1^5*g2^11) + (g2^11*t^7.822*y)/g1^3 + (2*g2^5*t^7.861*y)/g1^5 + (t^7.899*y)/(g1^7*g2) + (t^7.937*y)/(g1^9*g2^7) + (g1^12*t^8.135*y)/g2^12 + (g2^9*t^8.149*y)/g1^9 + (g2^3*t^8.187*y)/g1^11 + 2*g1^12*g2^4*t^8.346*y + (g1^10*t^8.385*y)/g2^2 + (3*g1^8*t^8.423*y)/g2^8 + (g1^4*t^8.5*y)/g2^20 - (g2*t^8.514*y)/g1^17 + 2*g1^8*g2^8*t^8.635*y + g1^6*g2^2*t^8.673*y + (3*g1^4*t^8.712*y)/g2^4 + (g1^2*t^8.75*y)/g2^10 + 2*g1^4*g2^12*t^8.923*y + 2*g1^2*g2^6*t^8.962*y |
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 |
|---|---|---|---|---|---|---|---|---|
| 5911 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{8}$ + ${ }M_{9}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{9}$ + ${ }M_{1}X_{1}$ | 0.672 | 0.8377 | 0.8021 | [X:[1.3477], M:[0.6523, 1.1016, 1.1445, 0.9414, 0.8555, 1.0586, 0.7383, 0.8555, 0.8984], q:[0.7324, 0.6152], qb:[0.3262, 0.5293], phi:[0.4492]] | t^2.215 + 2*t^2.566 + t^2.695 + t^2.824 + t^3.176 + t^3.305 + t^3.914 + t^4.043 + t^4.172 + t^4.43 + 2*t^4.523 + 2*t^4.781 + t^4.91 + 2*t^5.039 + 3*t^5.133 + 2*t^5.262 + 3*t^5.391 + 2*t^5.519 + 2*t^5.742 + 3*t^5.871 - 2*t^6. - t^4.348/y - t^4.348*y | detail | |
| 5908 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{8}$ + ${ }M_{9}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}M_{9}$ + ${ }M_{1}X_{1}$ | 0.6403 | 0.8039 | 0.7965 | [X:[1.3826], M:[0.6174, 1.0758, 1.2311, 1.0796, 0.7689, 0.9204, 0.928, 0.7689, 0.9204], q:[0.6117, 0.7708], qb:[0.3087, 0.4602], phi:[0.4621]] | 2*t^2.307 + 2*t^2.761 + t^2.784 + t^3.227 + t^3.239 + t^3.693 + 3*t^4.148 + t^4.602 + 2*t^4.614 + t^4.625 + t^5.057 + 3*t^5.068 + t^5.08 + t^5.091 + 2*t^5.523 + 3*t^5.534 + 2*t^5.545 + t^5.568 + 2*t^5.989 - t^6. - t^4.386/y - t^4.386*y | detail | |
| 5904 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{8}$ + ${ }M_{9}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}M_{9}$ + ${ }M_{1}X_{1}$ | 0.5886 | 0.7549 | 0.7797 | [X:[1.3388], M:[0.6612, 1.0323, 1.2742, 1.2096, 0.7258, 0.7904, 1.145, 0.7258, 0.855], q:[0.4598, 0.879], qb:[0.3306, 0.3952], phi:[0.4838]] | 2*t^2.177 + t^2.371 + t^2.565 + t^3.097 + t^3.435 + 2*t^3.629 + 2*t^3.823 + 2*t^4.017 + t^4.21 + 2*t^4.355 + t^4.548 + 2*t^4.742 + t^4.936 + t^5.08 + t^5.13 + 3*t^5.274 + 2*t^5.468 + t^5.612 + t^5.662 + 2*t^5.806 + t^6. - t^4.452/y - t^4.452*y | detail | |
| 5896 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{8}$ + ${ }M_{9}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{9}^{2}$ + ${ }M_{1}X_{1}$ | 0.6293 | 0.7893 | 0.7973 | [X:[1.44], M:[0.56, 1.12, 1.1999, 0.9599, 0.8001, 1.0401, 0.7198, 0.8001, 1.0], q:[0.7601, 0.6798], qb:[0.28, 0.5201], phi:[0.44]] | t^2.159 + 2*t^2.4 + t^2.88 + t^3. + t^3.12 + t^3.36 + t^3.72 + t^4.2 + t^4.319 + t^4.32 + 2*t^4.44 + t^4.56 + 2*t^4.8 + t^4.92 + t^5.039 + t^5.159 + t^5.161 + t^5.28 + t^5.399 + 2*t^5.4 + t^5.519 + t^5.521 + t^5.64 + 2*t^5.76 + t^5.88 + t^5.881 - 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 |
|---|---|---|---|---|---|---|---|---|---|
| 2384 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{8}$ | 0.7139 | 0.8819 | 0.8095 | [M:[0.8374, 1.0495, 1.0636, 0.9646, 0.9364, 1.0354, 0.8655, 0.9364], q:[0.6168, 0.5459], qb:[0.4187, 0.5177], phi:[0.4752]] | t^2.512 + t^2.597 + 2*t^2.809 + t^2.894 + t^3.106 + t^3.149 + t^3.938 + t^4.235 + t^4.319 + 2*t^4.532 + t^4.617 + t^4.701 + t^4.829 + t^4.914 + t^5.024 + t^5.109 + t^5.126 + t^5.193 + 2*t^5.321 + 2*t^5.406 + t^5.49 + 3*t^5.618 + t^5.661 + t^5.703 + t^5.745 + t^5.916 + 2*t^5.958 - 3*t^6. - t^4.426/y - t^4.426*y | detail |