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 |
|---|---|---|---|---|---|---|---|---|---|
| 2085 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ | 0.5896 | 0.7288 | 0.809 | [X:[1.5909], M:[0.4091, 1.2272, 0.7728, 0.8634, 1.0, 0.9547], q:[0.9091, 0.6819], qb:[0.3181, 0.4547], phi:[0.4091]] | [X:[[1]], M:[[-1], [-3], [3], [-7], [0], [5]], q:[[-1], [2]], qb:[[-2], [5]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{6}$, ${ }M_{5}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }X_{1}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{3}M_{5}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{6}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | ${}\phi_{1}^{3}\tilde{q}_{1}\tilde{q}_{2}$ | 0 | t^2.319 + t^2.454 + t^2.59 + t^2.864 + t^3. + t^3.546 + t^3.681 + t^3.956 + t^4.091 + t^4.637 + 2*t^4.773 + 2*t^4.909 + t^5.044 + t^5.18 + t^5.183 + 2*t^5.319 + t^5.454 + t^5.728 + t^5.864 + t^6.136 + t^6.272 + t^6.274 + 2*t^6.41 + 2*t^6.546 - t^6.817 + t^6.82 + 2*t^6.956 + t^7.227 + 3*t^7.363 + 2*t^7.499 + t^7.501 + t^7.635 + 3*t^7.637 + t^7.77 + 2*t^7.773 + t^7.911 + 2*t^8.047 + 2*t^8.183 - t^8.319 - t^8.454 - t^8.59 + 2*t^8.593 + t^8.726 + 2*t^8.728 + t^8.862 - t^4.227/y - t^6.681/y - t^6.817/y - t^7.091/y + t^7.363/y + t^7.637/y + (2*t^7.773)/y + t^7.909/y + t^8.044/y + t^8.183/y + (2*t^8.319)/y + (2*t^8.454)/y + t^8.59/y + (2*t^8.864)/y - t^4.227*y - t^6.681*y - t^6.817*y - t^7.091*y + t^7.363*y + t^7.637*y + 2*t^7.773*y + t^7.909*y + t^8.044*y + t^8.183*y + 2*t^8.319*y + 2*t^8.454*y + t^8.59*y + 2*t^8.864*y | g1^3*t^2.319 + t^2.454/g1^2 + t^2.59/g1^7 + g1^5*t^2.864 + t^3. + g1^2*t^3.546 + t^3.681/g1^3 + g1^9*t^3.956 + g1^4*t^4.091 + g1^6*t^4.637 + 2*g1*t^4.773 + (2*t^4.909)/g1^4 + t^5.044/g1^9 + t^5.18/g1^14 + g1^8*t^5.183 + 2*g1^3*t^5.319 + t^5.454/g1^2 + g1^10*t^5.728 + g1^5*t^5.864 + t^6.136/g1^5 + t^6.272/g1^10 + g1^12*t^6.274 + 2*g1^7*t^6.41 + 2*g1^2*t^6.546 - t^6.817/g1^8 + g1^14*t^6.82 + 2*g1^9*t^6.956 + t^7.227/g1 + (3*t^7.363)/g1^6 + (2*t^7.499)/g1^11 + g1^11*t^7.501 + t^7.635/g1^16 + 3*g1^6*t^7.637 + t^7.77/g1^21 + 2*g1*t^7.773 + g1^18*t^7.911 + 2*g1^13*t^8.047 + 2*g1^8*t^8.183 - g1^3*t^8.319 - t^8.454/g1^2 - t^8.59/g1^7 + 2*g1^15*t^8.593 + t^8.726/g1^12 + 2*g1^10*t^8.728 + t^8.862/g1^17 - t^4.227/(g1*y) - t^6.681/(g1^3*y) - t^6.817/(g1^8*y) - (g1^4*t^7.091)/y + t^7.363/(g1^6*y) + (g1^6*t^7.637)/y + (2*g1*t^7.773)/y + t^7.909/(g1^4*y) + t^8.044/(g1^9*y) + (g1^8*t^8.183)/y + (2*g1^3*t^8.319)/y + (2*t^8.454)/(g1^2*y) + t^8.59/(g1^7*y) + (2*g1^5*t^8.864)/y - (t^4.227*y)/g1 - (t^6.681*y)/g1^3 - (t^6.817*y)/g1^8 - g1^4*t^7.091*y + (t^7.363*y)/g1^6 + g1^6*t^7.637*y + 2*g1*t^7.773*y + (t^7.909*y)/g1^4 + (t^8.044*y)/g1^9 + g1^8*t^8.183*y + 2*g1^3*t^8.319*y + (2*t^8.454*y)/g1^2 + (t^8.59*y)/g1^7 + 2*g1^5*t^8.864*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 |
|---|---|---|---|---|---|---|---|---|
| 3147 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6051 | 0.7555 | 0.8009 | [X:[1.5927], M:[0.4073, 1.222, 0.778, 0.8514, 1.0, 0.9633, 0.8147], q:[0.9073, 0.6853], qb:[0.3147, 0.4633], phi:[0.4073]] | t^2.334 + 2*t^2.444 + t^2.554 + t^2.89 + t^3. + t^3.666 + t^4.002 + t^4.112 + t^4.668 + 3*t^4.778 + 4*t^4.888 + 2*t^4.998 + t^5.109 + t^5.224 + 3*t^5.334 + 2*t^5.444 + t^5.78 - t^6. - t^4.222/y - t^4.222*y | detail | |
| 3146 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{7}\phi_{1}\tilde{q}_{2}^{2}$ | 0.6104 | 0.7697 | 0.793 | [X:[1.5916], M:[0.4084, 1.2253, 0.7747, 0.8591, 1.0, 0.9578, 0.676], q:[0.9084, 0.6831], qb:[0.3169, 0.4578], phi:[0.4084]] | t^2.028 + t^2.324 + t^2.451 + t^2.577 + t^2.873 + t^3. + t^3.549 + t^3.676 + t^4.056 + t^4.099 + t^4.352 + t^4.479 + t^4.605 + t^4.648 + 2*t^4.775 + 3*t^4.901 + 2*t^5.028 + t^5.155 + t^5.197 + 2*t^5.324 + t^5.451 + t^5.577 + t^5.704 + t^5.747 + t^5.873 - t^4.225/y - t^4.225*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 |
|---|---|---|---|---|---|---|---|---|---|
| 923 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ | 0.74 | 0.9227 | 0.802 | [M:[0.8456, 1.0, 1.0, 0.8456, 1.0, 0.693], q:[0.5772, 0.5772], qb:[0.4228, 0.5772], phi:[0.4614]] | t^2.079 + 2*t^2.537 + t^2.768 + 3*t^3. + t^3.463 + t^4.158 + 3*t^4.384 + 2*t^4.616 + 7*t^4.847 + 3*t^5.073 + 3*t^5.079 + 2*t^5.305 + 4*t^5.537 + t^5.542 + 3*t^5.768 - 2*t^6. - t^4.384/y - t^4.384*y | detail |