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 |
|---|---|---|---|---|---|---|---|---|---|
| 47233 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{6}$ | 0.6933 | 0.8484 | 0.8171 | [M:[0.6706, 0.7285, 1.029, 0.971, 0.971, 1.2715], q:[0.7876, 0.5419], qb:[0.4839, 0.4871], phi:[0.4249]] | [M:[[1, 15], [-1, 1], [-1, -7], [1, 7], [1, 7], [1, -1]], q:[[0, -1], [-1, -14]], qb:[[1, 0], [0, 7]], phi:[[0, 2]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{5}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{6}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{1}$ | ${}$ | -3 | t^2.012 + t^2.549 + 2*t^2.913 + t^3.077 + t^3.814 + t^3.824 + t^4.024 + t^4.178 + t^4.188 + t^4.197 + t^4.352 + t^4.362 + t^4.526 + t^4.561 + 2*t^4.925 + t^5.089 + t^5.099 + 2*t^5.462 + t^5.627 + 3*t^5.826 + t^5.99 - 3*t^6. - t^6.01 + t^6.035 + t^6.155 - t^6.164 - t^6.174 + t^6.19 + t^6.2 + t^6.209 + t^6.364 + t^6.373 + t^6.573 + 3*t^6.728 + 2*t^6.737 + t^6.747 + t^6.892 + 2*t^6.937 + t^7.075 + 2*t^7.091 + 2*t^7.101 + 2*t^7.11 + t^7.256 + t^7.265 - t^7.284 + t^7.429 + t^7.439 - t^7.448 + 2*t^7.474 + t^7.603 + t^7.638 + t^7.648 - t^7.803 - t^7.812 + 3*t^7.838 - t^7.976 + t^7.993 + 2*t^8.002 + t^8.047 + t^8.166 - t^8.186 + t^8.202 + t^8.211 + t^8.221 + t^8.356 + t^8.366 + 4*t^8.376 + t^8.385 + t^8.395 + t^8.53 + t^8.54 - 3*t^8.549 + t^8.585 + 2*t^8.704 - t^8.714 + 5*t^8.739 + t^8.749 + t^8.758 + t^8.878 + t^8.887 + t^8.904 - 6*t^8.913 - t^8.923 + 2*t^8.948 - t^4.275/y - t^6.286/y - t^6.824/y - t^7.188/y + t^7.362/y + t^7.561/y + t^7.725/y + (2*t^7.925)/y + t^8.089/y + t^8.263/y - t^8.298/y + (2*t^8.462)/y + t^8.627/y + (2*t^8.826)/y + (2*t^8.99)/y - t^4.275*y - t^6.286*y - t^6.824*y - t^7.188*y + t^7.362*y + t^7.561*y + t^7.725*y + 2*t^7.925*y + t^8.089*y + t^8.263*y - t^8.298*y + 2*t^8.462*y + t^8.627*y + 2*t^8.826*y + 2*t^8.99*y | g1*g2^15*t^2.012 + g2^4*t^2.549 + 2*g1*g2^7*t^2.913 + t^3.077/g2^14 + (g1*t^3.814)/g2 + g2^6*t^3.824 + g1^2*g2^30*t^4.024 + g1^2*g2^2*t^4.178 + g1*g2^9*t^4.188 + g2^16*t^4.197 + t^4.352/g2^12 + t^4.362/(g1*g2^5) + t^4.526/(g1^2*g2^26) + g1*g2^19*t^4.561 + 2*g1^2*g2^22*t^4.925 + g1*g2*t^5.089 + g2^8*t^5.099 + 2*g1*g2^11*t^5.462 + t^5.627/g2^10 + 3*g1^2*g2^14*t^5.826 + (g1*t^5.99)/g2^7 - 3*t^6. - (g2^7*t^6.01)/g1 + g1^3*g2^45*t^6.035 + t^6.155/g2^28 - t^6.164/(g1*g2^21) - t^6.174/(g1^2*g2^14) + g1^3*g2^17*t^6.19 + g1^2*g2^24*t^6.2 + g1*g2^31*t^6.209 + g1*g2^3*t^6.364 + g2^10*t^6.373 + g1^2*g2^34*t^6.573 + 3*g1^2*g2^6*t^6.728 + 2*g1*g2^13*t^6.737 + g2^20*t^6.747 + (g1*t^6.892)/g2^15 + 2*g1^3*g2^37*t^6.937 + t^7.075/(g1^2*g2^22) + 2*g1^3*g2^9*t^7.091 + 2*g1^2*g2^16*t^7.101 + 2*g1*g2^23*t^7.11 + (g1^2*t^7.256)/g2^12 + (g1*t^7.265)/g2^5 - (g2^9*t^7.284)/g1 + t^7.429/g2^26 + t^7.439/(g1*g2^19) - t^7.448/(g1^2*g2^12) + 2*g1^2*g2^26*t^7.474 + t^7.603/(g1^2*g2^40) + g1*g2^5*t^7.638 + g2^12*t^7.648 - t^7.803/g2^16 - t^7.812/(g1*g2^9) + 3*g1^3*g2^29*t^7.838 - t^7.976/(g1^2*g2^30) + g1^3*g2*t^7.993 + 2*g1^2*g2^8*t^8.002 + g1^4*g2^60*t^8.047 + (g1*t^8.166)/g2^13 - (g2*t^8.186)/g1 + g1^4*g2^32*t^8.202 + g1^3*g2^39*t^8.211 + g1^2*g2^46*t^8.221 + g1^4*g2^4*t^8.356 + g1^3*g2^11*t^8.366 + 4*g1^2*g2^18*t^8.376 + g1*g2^25*t^8.385 + g2^32*t^8.395 + (g1^2*t^8.53)/g2^10 + (g1*t^8.54)/g2^3 - 3*g2^4*t^8.549 + g1^3*g2^49*t^8.585 + (2*t^8.704)/g2^24 - t^8.714/(g1*g2^17) + 5*g1^3*g2^21*t^8.739 + g1^2*g2^28*t^8.749 + g1*g2^35*t^8.758 + t^8.878/(g1^2*g2^38) + t^8.887/(g1^3*g2^31) + g1^2*t^8.904 - 6*g1*g2^7*t^8.913 - g2^14*t^8.923 + 2*g1^4*g2^52*t^8.948 - (g2^2*t^4.275)/y - (g1*g2^17*t^6.286)/y - (g2^6*t^6.824)/y - (g1*g2^9*t^7.188)/y + t^7.362/(g1*g2^5*y) + (g1*g2^19*t^7.561)/y + t^7.725/(g2^2*y) + (2*g1^2*g2^22*t^7.925)/y + (g1*g2*t^8.089)/y + t^8.263/(g1*g2^13*y) - (g1^2*g2^32*t^8.298)/y + (2*g1*g2^11*t^8.462)/y + t^8.627/(g2^10*y) + (2*g1^2*g2^14*t^8.826)/y + (2*g1*t^8.99)/(g2^7*y) - g2^2*t^4.275*y - g1*g2^17*t^6.286*y - g2^6*t^6.824*y - g1*g2^9*t^7.188*y + (t^7.362*y)/(g1*g2^5) + g1*g2^19*t^7.561*y + (t^7.725*y)/g2^2 + 2*g1^2*g2^22*t^7.925*y + g1*g2*t^8.089*y + (t^8.263*y)/(g1*g2^13) - g1^2*g2^32*t^8.298*y + 2*g1*g2^11*t^8.462*y + (t^8.627*y)/g2^10 + 2*g1^2*g2^14*t^8.826*y + (2*g1*t^8.99*y)/g2^7 |
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 |
|---|---|---|---|---|---|---|---|---|
| 55522 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{6}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ | 0.6933 | 0.8483 | 0.8172 | [M:[0.6702, 0.7263, 1.028, 0.972, 0.972, 1.2737], q:[0.7877, 0.542], qb:[0.486, 0.486], phi:[0.4246]] | t^2.011 + t^2.547 + 2*t^2.916 + t^3.084 + 2*t^3.821 + t^4.021 + 3*t^4.19 + 2*t^4.358 + t^4.526 + t^4.558 + 2*t^4.927 + 2*t^5.095 + 2*t^5.463 + t^5.631 + 3*t^5.832 - 3*t^6. - t^4.274/y - t^4.274*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46675 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}q_{1}^{2}$ | 0.7133 | 0.8853 | 0.8057 | [M:[0.6716, 0.7152, 1.0218, 0.9782, 0.9782], q:[0.7883, 0.5401], qb:[0.4965, 0.4817], phi:[0.4234]] | t^2.015 + t^2.146 + t^2.54 + 2*t^2.935 + t^3.11 + t^3.81 + t^4.03 + 2*t^4.16 + t^4.205 + t^4.249 + t^4.291 + t^4.335 + t^4.38 + t^4.51 + t^4.555 + t^4.686 + 2*t^4.95 + 3*t^5.08 + t^5.125 + t^5.255 + 2*t^5.475 + t^5.65 + 2*t^5.869 - 3*t^6. - t^4.27/y - t^4.27*y | detail |