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 |
|---|---|---|---|---|---|---|---|---|---|
| 992 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{6}$ | 0.6987 | 0.854 | 0.8182 | [M:[1.0279, 0.9112, 0.9721, 0.9671, 1.0329, 1.0279], q:[0.5165, 0.4556], qb:[0.5115, 0.5773], phi:[0.4848]] | [M:[[12, 4], [-16, -16], [-12, -4], [8, -8], [-8, 8], [12, 4]], q:[[-4, 4], [-8, -8]], qb:[[16, 0], [0, 16]], phi:[[-1, -3]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{6}$, ${ }M_{5}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{4}$, ${ }M_{4}M_{6}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$ | ${}$ | -3 | t^2.734 + t^2.901 + t^2.909 + 2*t^3.084 + t^3.099 + t^3.281 + t^4.188 + t^4.356 + t^4.371 + t^4.523 + t^4.538 + 2*t^4.553 + t^4.721 + t^4.736 + t^4.918 + t^5.467 + t^5.642 + t^5.81 + t^5.817 + t^5.985 + 2*t^5.993 - 3*t^6. + t^6.007 + 2*t^6.168 + t^6.19 + t^6.365 + t^6.38 + t^6.563 + t^6.922 + t^7.089 + t^7.097 + t^7.104 + t^7.257 + t^7.264 + t^7.272 + 2*t^7.287 + t^7.424 + t^7.432 + t^7.439 + t^7.454 + t^7.462 + t^7.469 + 2*t^7.607 - t^7.615 + 2*t^7.622 + 2*t^7.637 - t^7.644 + 2*t^7.652 + 2*t^7.805 - t^7.812 + 2*t^7.82 + 2*t^7.834 + 2*t^8.002 - t^8.01 + 2*t^8.017 + t^8.2 + t^8.201 + 2*t^8.376 + t^8.544 + t^8.551 + t^8.558 + t^8.711 + 2*t^8.726 - 4*t^8.734 + 2*t^8.741 + t^8.879 - t^8.886 + 2*t^8.894 - t^8.901 - t^8.909 - 3*t^8.916 + 2*t^8.924 - t^4.454/y - t^7.188/y - t^7.363/y + t^7.371/y - t^7.538/y + t^7.546/y + t^7.721/y + t^8.635/y + t^8.642/y + t^8.81/y + (2*t^8.817)/y + t^8.832/y + (2*t^8.985)/y + (2*t^8.993)/y - t^4.454*y - t^7.188*y - t^7.363*y + t^7.371*y - t^7.538*y + t^7.546*y + t^7.721*y + t^8.635*y + t^8.642*y + t^8.81*y + 2*t^8.817*y + t^8.832*y + 2*t^8.985*y + 2*t^8.993*y | t^2.734/(g1^16*g2^16) + (g1^8*t^2.901)/g2^8 + t^2.909/(g1^2*g2^6) + 2*g1^12*g2^4*t^3.084 + (g2^8*t^3.099)/g1^8 + (g2^20*t^3.281)/g1^4 + t^4.188/(g1^17*g2^19) + (g1^7*t^4.356)/g2^11 + t^4.371/(g1^13*g2^7) + (g1^31*t^4.523)/g2^3 + g1^11*g2*t^4.538 + (2*g2^5*t^4.553)/g1^9 + g1^15*g2^13*t^4.721 + (g2^17*t^4.736)/g1^5 + (g2^29*t^4.918)/g1 + t^5.467/(g1^32*g2^32) + t^5.642/(g1^18*g2^22) + (g1^6*t^5.81)/g2^14 + t^5.817/(g1^4*g2^12) + (g1^20*t^5.985)/g2^4 + (2*g1^10*t^5.993)/g2^2 - 3*t^6. + (g2^2*t^6.007)/g1^10 + 2*g1^24*g2^8*t^6.168 + (g2^14*t^6.19)/g1^6 + g1^8*g2^24*t^6.365 + (g2^28*t^6.38)/g1^12 + (g2^40*t^6.563)/g1^8 + t^6.922/(g1^33*g2^35) + t^7.089/(g1^9*g2^27) + t^7.097/(g1^19*g2^25) + t^7.104/(g1^29*g2^23) + (g1^15*t^7.257)/g2^19 + (g1^5*t^7.264)/g2^17 + t^7.272/(g1^5*g2^15) + (2*t^7.287)/(g1^25*g2^11) + (g1^39*t^7.424)/g2^11 + (g1^29*t^7.432)/g2^9 + (g1^19*t^7.439)/g2^7 + t^7.454/(g1*g2^3) + t^7.462/(g1^11*g2) + (g2*t^7.469)/g1^21 + 2*g1^43*g2*t^7.607 - g1^33*g2^3*t^7.615 + 2*g1^23*g2^5*t^7.622 + 2*g1^3*g2^9*t^7.637 - (g2^11*t^7.644)/g1^7 + (2*g2^13*t^7.652)/g1^17 + 2*g1^27*g2^17*t^7.805 - g1^17*g2^19*t^7.812 + 2*g1^7*g2^21*t^7.82 + (2*g2^25*t^7.834)/g1^13 + 2*g1^11*g2^33*t^8.002 - g1*g2^35*t^8.01 + (2*g2^37*t^8.017)/g1^9 + (g2^49*t^8.2)/g1^5 + t^8.201/(g1^48*g2^48) + (2*t^8.376)/(g1^34*g2^38) + t^8.544/(g1^10*g2^30) + t^8.551/(g1^20*g2^28) + t^8.558/(g1^30*g2^26) + (g1^14*t^8.711)/g2^22 + (2*t^8.726)/(g1^6*g2^18) - (4*t^8.734)/(g1^16*g2^16) + (2*t^8.741)/(g1^26*g2^14) + (g1^38*t^8.879)/g2^14 - (g1^28*t^8.886)/g2^12 + (2*g1^18*t^8.894)/g2^10 - (g1^8*t^8.901)/g2^8 - t^8.909/(g1^2*g2^6) - (3*t^8.916)/(g1^12*g2^4) + (2*t^8.924)/(g1^22*g2^2) - t^4.454/(g1*g2^3*y) - t^7.188/(g1^17*g2^19*y) - t^7.363/(g1^3*g2^9*y) + t^7.371/(g1^13*g2^7*y) - (g1^11*g2*t^7.538)/y + (g1*g2^3*t^7.546)/y + (g1^15*g2^13*t^7.721)/y + t^8.635/(g1^8*g2^24*y) + t^8.642/(g1^18*g2^22*y) + (g1^6*t^8.81)/(g2^14*y) + (2*t^8.817)/(g1^4*g2^12*y) + t^8.832/(g1^24*g2^8*y) + (2*g1^20*t^8.985)/(g2^4*y) + (2*g1^10*t^8.993)/(g2^2*y) - (t^4.454*y)/(g1*g2^3) - (t^7.188*y)/(g1^17*g2^19) - (t^7.363*y)/(g1^3*g2^9) + (t^7.371*y)/(g1^13*g2^7) - g1^11*g2*t^7.538*y + g1*g2^3*t^7.546*y + g1^15*g2^13*t^7.721*y + (t^8.635*y)/(g1^8*g2^24) + (t^8.642*y)/(g1^18*g2^22) + (g1^6*t^8.81*y)/g2^14 + (2*t^8.817*y)/(g1^4*g2^12) + (t^8.832*y)/(g1^24*g2^8) + (2*g1^20*t^8.985*y)/g2^4 + (2*g1^10*t^8.993*y)/g2^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 2103 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{6}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ | 0.5827 | 0.7345 | 0.7934 | [M:[1.0027, 0.71, 0.9973, 0.7155, 1.2845, 1.0027], q:[0.6423, 0.355], qb:[0.3605, 0.9296], phi:[0.4282]] | t^2.13 + t^2.146 + t^2.569 + 2*t^3.008 + t^3.414 + t^3.431 + t^3.447 + t^3.854 + t^4.26 + t^4.276 + t^4.293 + t^4.699 + 2*t^4.715 + 3*t^5.138 + 2*t^5.155 + t^5.544 + t^5.561 + 3*t^5.577 + t^5.594 + t^5.984 - t^6. - t^4.285/y - t^4.285*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 |
|---|---|---|---|---|---|---|---|---|---|
| 611 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}M_{3}$ | 0.7024 | 0.8607 | 0.8161 | [M:[1.0504, 0.8793, 0.9496, 0.98, 1.02], q:[0.51, 0.4396], qb:[0.5404, 0.5803], phi:[0.4824]] | t^2.638 + t^2.849 + t^2.894 + t^2.94 + t^3.06 + t^3.151 + t^3.271 + t^4.085 + t^4.296 + t^4.387 + 2*t^4.507 + t^4.598 + t^4.69 + t^4.718 + t^4.809 + t^4.929 + t^5.276 + t^5.487 + t^5.532 + t^5.698 + t^5.743 + t^5.789 + t^5.835 + t^5.909 + t^5.954 - 2*t^6. - t^4.447/y - t^4.447*y | detail |