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 |
|---|---|---|---|---|---|---|---|---|---|
| 55473 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ | 0.6909 | 0.8877 | 0.7783 | [M:[1.1505, 0.7502, 0.8495, 0.7838, 0.6844, 0.8495, 0.7012], q:[0.3919, 0.4576], qb:[0.8579, 0.7586], phi:[0.3835]] | [M:[[-3, -3], [2, 4], [3, 3], [-6, -8], [-7, -7], [3, 3], [-11, -13]], q:[[-3, -4], [6, 7]], qb:[[1, 0], [0, 1]], phi:[[-1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{5}$, ${ }M_{7}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{3}$, ${ }M_{6}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{2}M_{7}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{2}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}\phi_{1}q_{1}^{2}$, ${ }M_{7}\phi_{1}q_{1}^{2}$, ${ }M_{5}\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}^{3}q_{1}^{2}$, ${ }M_{7}\phi_{1}q_{1}q_{2}$, ${ }M_{4}\phi_{1}q_{1}^{2}$ | ${}\phi_{1}^{3}q_{1}q_{2}$ | -2 | t^2.053 + t^2.104 + t^2.25 + t^2.301 + t^2.351 + 2*t^2.549 + t^3.502 + t^3.699 + t^4.106 + t^4.157 + t^4.207 + t^4.304 + 2*t^4.354 + 2*t^4.405 + t^4.455 + t^4.501 + t^4.551 + 4*t^4.602 + 3*t^4.652 + t^4.703 + 2*t^4.799 + 3*t^4.85 + 2*t^4.9 + 3*t^5.097 + t^5.555 + t^5.606 + t^5.752 + t^5.803 + t^5.853 - 2*t^6. + 2*t^6.05 + t^6.16 - t^6.197 + t^6.21 + t^6.248 + t^6.261 + t^6.311 + t^6.357 + 2*t^6.407 + 3*t^6.458 + 2*t^6.508 + t^6.554 + t^6.559 + 2*t^6.605 + 5*t^6.655 + 5*t^6.706 + t^6.751 + 4*t^6.756 + t^6.802 + t^6.806 + 4*t^6.852 + 6*t^6.903 + 6*t^6.953 + 4*t^7.004 + 2*t^7.05 + t^7.054 + 2*t^7.1 + 5*t^7.15 + 5*t^7.201 + 2*t^7.251 + t^7.348 + 2*t^7.398 + 2*t^7.449 - t^7.595 + t^7.608 + 3*t^7.646 + t^7.659 + t^7.709 + t^7.806 + t^7.856 + 2*t^7.906 + t^7.957 - 3*t^8.053 + 2*t^8.154 + t^8.205 + t^8.213 - 4*t^8.25 + t^8.263 - 3*t^8.301 + t^8.314 - 2*t^8.351 + t^8.364 + 2*t^8.402 + t^8.41 + t^8.415 - t^8.448 + 2*t^8.461 - 3*t^8.498 + 3*t^8.511 - 7*t^8.549 + 3*t^8.562 + t^8.599 + t^8.607 + 2*t^8.612 + 2*t^8.658 + t^8.662 + 6*t^8.708 - 3*t^8.746 + 6*t^8.759 + t^8.805 + 6*t^8.809 + 2*t^8.855 + 4*t^8.86 + 5*t^8.906 + t^8.91 + 8*t^8.956 - t^4.15/y - t^6.204/y - t^6.254/y - t^6.401/y - t^6.451/y - t^6.502/y - t^6.699/y + t^7.157/y + t^7.304/y + (2*t^7.354)/y + (2*t^7.405)/y + t^7.455/y + t^7.551/y + (4*t^7.602)/y + (3*t^7.652)/y + (3*t^7.799)/y + (3*t^7.85)/y + (3*t^7.9)/y + t^8.047/y + (2*t^8.097)/y - t^8.257/y - t^8.307/y - t^8.358/y - t^8.454/y - (2*t^8.505)/y - t^8.555/y - t^8.651/y - t^8.702/y - t^8.752/y - t^4.15*y - t^6.204*y - t^6.254*y - t^6.401*y - t^6.451*y - t^6.502*y - t^6.699*y + t^7.157*y + t^7.304*y + 2*t^7.354*y + 2*t^7.405*y + t^7.455*y + t^7.551*y + 4*t^7.602*y + 3*t^7.652*y + 3*t^7.799*y + 3*t^7.85*y + 3*t^7.9*y + t^8.047*y + 2*t^8.097*y - t^8.257*y - t^8.307*y - t^8.358*y - t^8.454*y - 2*t^8.505*y - t^8.555*y - t^8.651*y - t^8.702*y - t^8.752*y | t^2.053/(g1^7*g2^7) + t^2.104/(g1^11*g2^13) + g1^2*g2^4*t^2.25 + t^2.301/(g1^2*g2^2) + t^2.351/(g1^6*g2^8) + 2*g1^3*g2^3*t^2.549 + t^3.502/(g1^7*g2^9) + g1^2*g2^2*t^3.699 + t^4.106/(g1^14*g2^14) + t^4.157/(g1^18*g2^20) + t^4.207/(g1^22*g2^26) + t^4.304/(g1^5*g2^3) + (2*t^4.354)/(g1^9*g2^9) + (2*t^4.405)/(g1^13*g2^15) + t^4.455/(g1^17*g2^21) + g1^4*g2^8*t^4.501 + g2^2*t^4.551 + (4*t^4.602)/(g1^4*g2^4) + (3*t^4.652)/(g1^8*g2^10) + t^4.703/(g1^12*g2^16) + 2*g1^5*g2^7*t^4.799 + 3*g1*g2*t^4.85 + (2*t^4.9)/(g1^3*g2^5) + 3*g1^6*g2^6*t^5.097 + t^5.555/(g1^14*g2^16) + t^5.606/(g1^18*g2^22) + t^5.752/(g1^5*g2^5) + t^5.803/(g1^9*g2^11) + t^5.853/(g1^13*g2^17) - 2*t^6. + (2*t^6.05)/(g1^4*g2^6) + t^6.16/(g1^21*g2^21) - g1^9*g2^11*t^6.197 + t^6.21/(g1^25*g2^27) + g1^5*g2^5*t^6.248 + t^6.261/(g1^29*g2^33) + t^6.311/(g1^33*g2^39) + t^6.357/(g1^12*g2^10) + (2*t^6.407)/(g1^16*g2^16) + (3*t^6.458)/(g1^20*g2^22) + (2*t^6.508)/(g1^24*g2^28) + (g2*t^6.554)/g1^3 + t^6.559/(g1^28*g2^34) + (2*t^6.605)/(g1^7*g2^5) + (5*t^6.655)/(g1^11*g2^11) + (5*t^6.706)/(g1^15*g2^17) + g1^6*g2^12*t^6.751 + (4*t^6.756)/(g1^19*g2^23) + g1^2*g2^6*t^6.802 + t^6.806/(g1^23*g2^29) + (4*t^6.852)/g1^2 + (6*t^6.903)/(g1^6*g2^6) + (6*t^6.953)/(g1^10*g2^12) + (4*t^7.004)/(g1^14*g2^18) + 2*g1^7*g2^11*t^7.05 + t^7.054/(g1^18*g2^24) + 2*g1^3*g2^5*t^7.1 + (5*t^7.15)/(g1*g2) + (5*t^7.201)/(g1^5*g2^7) + (2*t^7.251)/(g1^9*g2^13) + g1^8*g2^10*t^7.348 + 2*g1^4*g2^4*t^7.398 + (2*t^7.449)/g2^2 - g1^13*g2^15*t^7.595 + t^7.608/(g1^21*g2^23) + 3*g1^9*g2^9*t^7.646 + t^7.659/(g1^25*g2^29) + t^7.709/(g1^29*g2^35) + t^7.806/(g1^12*g2^12) + t^7.856/(g1^16*g2^18) + (2*t^7.906)/(g1^20*g2^24) + t^7.957/(g1^24*g2^30) - (3*t^8.053)/(g1^7*g2^7) + (2*t^8.154)/(g1^15*g2^19) + t^8.205/(g1^19*g2^25) + t^8.213/(g1^28*g2^28) - 4*g1^2*g2^4*t^8.25 + t^8.263/(g1^32*g2^34) - (3*t^8.301)/(g1^2*g2^2) + t^8.314/(g1^36*g2^40) - (2*t^8.351)/(g1^6*g2^8) + t^8.364/(g1^40*g2^46) + (2*t^8.402)/(g1^10*g2^14) + t^8.41/(g1^19*g2^17) + t^8.415/(g1^44*g2^52) - g1^11*g2^15*t^8.448 + (2*t^8.461)/(g1^23*g2^23) - 3*g1^7*g2^9*t^8.498 + (3*t^8.511)/(g1^27*g2^29) - 7*g1^3*g2^3*t^8.549 + (3*t^8.562)/(g1^31*g2^35) + t^8.599/(g1*g2^3) + t^8.607/(g1^10*g2^6) + (2*t^8.612)/(g1^35*g2^41) + (2*t^8.658)/(g1^14*g2^12) + t^8.662/(g1^39*g2^47) + (6*t^8.708)/(g1^18*g2^18) - 3*g1^12*g2^14*t^8.746 + (6*t^8.759)/(g1^22*g2^24) + (g2^5*t^8.805)/g1 + (6*t^8.809)/(g1^26*g2^30) + (2*t^8.855)/(g1^5*g2) + (4*t^8.86)/(g1^30*g2^36) + (5*t^8.906)/(g1^9*g2^7) + t^8.91/(g1^34*g2^42) + (8*t^8.956)/(g1^13*g2^13) - t^4.15/(g1*g2*y) - t^6.204/(g1^8*g2^8*y) - t^6.254/(g1^12*g2^14*y) - (g1*g2^3*t^6.401)/y - t^6.451/(g1^3*g2^3*y) - t^6.502/(g1^7*g2^9*y) - (g1^2*g2^2*t^6.699)/y + t^7.157/(g1^18*g2^20*y) + t^7.304/(g1^5*g2^3*y) + (2*t^7.354)/(g1^9*g2^9*y) + (2*t^7.405)/(g1^13*g2^15*y) + t^7.455/(g1^17*g2^21*y) + (g2^2*t^7.551)/y + (4*t^7.602)/(g1^4*g2^4*y) + (3*t^7.652)/(g1^8*g2^10*y) + (3*g1^5*g2^7*t^7.799)/y + (3*g1*g2*t^7.85)/y + (3*t^7.9)/(g1^3*g2^5*y) + (g1^10*g2^12*t^8.047)/y + (2*g1^6*g2^6*t^8.097)/y - t^8.257/(g1^15*g2^15*y) - t^8.307/(g1^19*g2^21*y) - t^8.358/(g1^23*g2^27*y) - t^8.454/(g1^6*g2^4*y) - (2*t^8.505)/(g1^10*g2^10*y) - t^8.555/(g1^14*g2^16*y) - (g1^3*g2^7*t^8.651)/y - (g2*t^8.702)/(g1*y) - t^8.752/(g1^5*g2^5*y) - (t^4.15*y)/(g1*g2) - (t^6.204*y)/(g1^8*g2^8) - (t^6.254*y)/(g1^12*g2^14) - g1*g2^3*t^6.401*y - (t^6.451*y)/(g1^3*g2^3) - (t^6.502*y)/(g1^7*g2^9) - g1^2*g2^2*t^6.699*y + (t^7.157*y)/(g1^18*g2^20) + (t^7.304*y)/(g1^5*g2^3) + (2*t^7.354*y)/(g1^9*g2^9) + (2*t^7.405*y)/(g1^13*g2^15) + (t^7.455*y)/(g1^17*g2^21) + g2^2*t^7.551*y + (4*t^7.602*y)/(g1^4*g2^4) + (3*t^7.652*y)/(g1^8*g2^10) + 3*g1^5*g2^7*t^7.799*y + 3*g1*g2*t^7.85*y + (3*t^7.9*y)/(g1^3*g2^5) + g1^10*g2^12*t^8.047*y + 2*g1^6*g2^6*t^8.097*y - (t^8.257*y)/(g1^15*g2^15) - (t^8.307*y)/(g1^19*g2^21) - (t^8.358*y)/(g1^23*g2^27) - (t^8.454*y)/(g1^6*g2^4) - (2*t^8.505*y)/(g1^10*g2^10) - (t^8.555*y)/(g1^14*g2^16) - g1^3*g2^7*t^8.651*y - (g2*t^8.702*y)/g1 - (t^8.752*y)/(g1^5*g2^5) |
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 |
|---|---|---|---|---|---|---|---|---|
| 57023 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{5}M_{7}$ | 0.6087 | 0.7778 | 0.7826 | [M:[1.2792, 0.8222, 0.7208, 0.8834, 0.9847, 0.7208, 1.0153], q:[0.4417, 0.2792], qb:[0.7361, 0.8375], phi:[0.4264]] | 2*t^2.163 + t^2.467 + t^2.558 + t^2.65 + t^2.954 + t^3.046 + t^3.442 + t^3.929 + 3*t^4.325 + 2*t^4.629 + 3*t^4.721 + 2*t^4.813 + t^4.933 + t^5.025 + 4*t^5.117 + 3*t^5.208 + t^5.3 + t^5.421 + t^5.512 + 3*t^5.604 + t^5.696 + t^5.908 - t^6. - t^4.279/y - t^4.279*y | detail | |
| 57022 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{5}^{2}$ | 0.6177 | 0.7934 | 0.7785 | [M:[1.2857, 0.9551, 0.7143, 0.7592, 1.0, 0.7143, 0.902], q:[0.3796, 0.3347], qb:[0.6653, 0.9061], phi:[0.4286]] | 2*t^2.143 + t^2.277 + t^2.571 + t^2.706 + t^2.865 + t^3. + t^3.429 + t^3.563 + 3*t^4.286 + 2*t^4.42 + t^4.555 + 3*t^4.714 + 3*t^4.849 + t^4.984 + 2*t^5.008 + 4*t^5.143 + 2*t^5.277 + t^5.412 + t^5.437 + 3*t^5.571 + 3*t^5.706 + t^5.731 + t^5.841 - t^6. - t^4.286/y - t^4.286*y | detail | |
| 57032 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{8}\phi_{1}q_{1}^{2}$ | 0.7061 | 0.9132 | 0.7733 | [M:[1.1516, 0.7275, 0.8484, 0.8081, 0.6872, 0.8484, 0.7275, 0.8081], q:[0.404, 0.4443], qb:[0.8685, 0.7476], phi:[0.3839]] | t^2.061 + 2*t^2.182 + t^2.303 + 2*t^2.424 + 2*t^2.545 + t^3.697 + t^4.123 + 2*t^4.244 + 4*t^4.365 + 4*t^4.486 + 7*t^4.607 + 6*t^4.727 + 6*t^4.848 + 4*t^4.969 + 3*t^5.09 - 2*t^6. - t^4.152/y - t^4.152*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 |
|---|---|---|---|---|---|---|---|---|---|
| 47176 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{6}$ | 0.6706 | 0.8484 | 0.7904 | [M:[1.1549, 0.7464, 0.8451, 0.7935, 0.6948, 0.8451], q:[0.3967, 0.4484], qb:[0.8569, 0.7582], phi:[0.385]] | t^2.084 + t^2.239 + t^2.31 + t^2.38 + 2*t^2.535 + t^3.535 + t^3.69 + t^3.845 + t^4.169 + t^4.324 + t^4.394 + t^4.465 + t^4.478 + t^4.549 + 4*t^4.62 + t^4.69 + t^4.761 + 2*t^4.775 + 3*t^4.845 + 2*t^4.916 + 3*t^5.071 + t^5.62 + t^5.775 + t^5.916 + t^5.929 - 2*t^6. - t^4.155/y - t^4.155*y | detail |