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 |
|---|---|---|---|---|---|---|---|---|---|
| 2734 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.609 | 0.779 | 0.7817 | [M:[1.0, 1.0388, 0.9224, 0.7209], q:[0.7597, 0.2403], qb:[0.5194, 0.5582], phi:[0.4806]] | [M:[[0], [4], [-8], [-3]], q:[[1], [-1]], qb:[[2], [6]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{3}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{3}$, ${ }\phi_{1}^{2}q_{2}^{4}$, ${ }M_{2}M_{3}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ | ${}\phi_{1}q_{2}^{2}\tilde{q}_{1}^{2}$ | 0 | t^2.163 + t^2.279 + t^2.395 + t^2.767 + t^2.884 + t^3. + t^3.116 + t^3.721 + t^3.837 + t^3.954 + t^4.325 + t^4.442 + 3*t^4.558 + 2*t^4.675 + 2*t^4.791 + t^4.93 + t^5.046 + 2*t^5.163 + 3*t^5.279 + 2*t^5.395 + t^5.512 + t^5.535 + t^5.651 + 2*t^5.767 + t^5.884 + 2*t^6.116 + 2*t^6.233 + t^6.349 + t^6.488 + t^6.605 + 3*t^6.721 + 3*t^6.837 + 4*t^6.954 + 3*t^7.07 + t^7.093 + 2*t^7.186 + t^7.209 + 2*t^7.325 + 3*t^7.442 + 3*t^7.558 + 5*t^7.675 + t^7.697 + 3*t^7.791 + t^7.814 + 2*t^7.907 + 2*t^7.93 + 2*t^8.046 + t^8.302 + t^8.418 + 3*t^8.512 + 2*t^8.535 + 3*t^8.628 + 3*t^8.651 + 2*t^8.744 - t^8.767 - t^4.442/y - t^6.605/y - t^7.209/y + t^7.442/y + t^7.558/y + (2*t^7.675)/y + t^7.93/y + (2*t^8.046)/y + (3*t^8.163)/y + (4*t^8.279)/y + (2*t^8.395)/y + t^8.512/y + t^8.651/y + (3*t^8.884)/y - t^4.442*y - t^6.605*y - t^7.209*y + t^7.442*y + t^7.558*y + 2*t^7.675*y + t^7.93*y + 2*t^8.046*y + 3*t^8.163*y + 4*t^8.279*y + 2*t^8.395*y + t^8.512*y + t^8.651*y + 3*t^8.884*y | t^2.163/g1^3 + g1*t^2.279 + g1^5*t^2.395 + t^2.767/g1^8 + t^2.884/g1^4 + t^3. + g1^4*t^3.116 + t^3.721/g1 + g1^3*t^3.837 + g1^7*t^3.954 + t^4.325/g1^6 + t^4.442/g1^2 + 3*g1^2*t^4.558 + 2*g1^6*t^4.675 + 2*g1^10*t^4.791 + t^4.93/g1^11 + t^5.046/g1^7 + (2*t^5.163)/g1^3 + 3*g1*t^5.279 + 2*g1^5*t^5.395 + g1^9*t^5.512 + t^5.535/g1^16 + t^5.651/g1^12 + (2*t^5.767)/g1^8 + t^5.884/g1^4 + 2*g1^4*t^6.116 + 2*g1^8*t^6.233 + g1^12*t^6.349 + t^6.488/g1^9 + t^6.605/g1^5 + (3*t^6.721)/g1 + 3*g1^3*t^6.837 + 4*g1^7*t^6.954 + 3*g1^11*t^7.07 + t^7.093/g1^14 + 2*g1^15*t^7.186 + t^7.209/g1^10 + (2*t^7.325)/g1^6 + (3*t^7.442)/g1^2 + 3*g1^2*t^7.558 + 5*g1^6*t^7.675 + t^7.697/g1^19 + 3*g1^10*t^7.791 + t^7.814/g1^15 + 2*g1^14*t^7.907 + (2*t^7.93)/g1^11 + (2*t^8.046)/g1^7 + t^8.302/g1^24 + t^8.418/g1^20 + 3*g1^9*t^8.512 + (2*t^8.535)/g1^16 + 3*g1^13*t^8.628 + (3*t^8.651)/g1^12 + 2*g1^17*t^8.744 - t^8.767/g1^8 - t^4.442/(g1^2*y) - t^6.605/(g1^5*y) - t^7.209/(g1^10*y) + t^7.442/(g1^2*y) + (g1^2*t^7.558)/y + (2*g1^6*t^7.675)/y + t^7.93/(g1^11*y) + (2*t^8.046)/(g1^7*y) + (3*t^8.163)/(g1^3*y) + (4*g1*t^8.279)/y + (2*g1^5*t^8.395)/y + (g1^9*t^8.512)/y + t^8.651/(g1^12*y) + (3*t^8.884)/(g1^4*y) - (t^4.442*y)/g1^2 - (t^6.605*y)/g1^5 - (t^7.209*y)/g1^10 + (t^7.442*y)/g1^2 + g1^2*t^7.558*y + 2*g1^6*t^7.675*y + (t^7.93*y)/g1^11 + (2*t^8.046*y)/g1^7 + (3*t^8.163*y)/g1^3 + 4*g1*t^8.279*y + 2*g1^5*t^8.395*y + g1^9*t^8.512*y + (t^8.651*y)/g1^12 + (3*t^8.884*y)/g1^4 |
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 |
|---|---|---|---|---|---|---|---|---|
| 3246 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{5}$ | 0.605 | 0.7763 | 0.7794 | [M:[1.0, 1.0036, 0.9928, 0.7473, 1.0072], q:[0.7509, 0.2491], qb:[0.5018, 0.5054], phi:[0.4982]] | t^2.242 + t^2.253 + t^2.264 + t^2.989 + t^3. + t^3.011 + t^3.022 + t^3.747 + t^3.758 + t^3.769 + t^4.484 + t^4.495 + 3*t^4.505 + 2*t^4.516 + 2*t^4.527 + t^5.242 + 3*t^5.253 + 3*t^5.264 + 2*t^5.274 + t^5.285 + t^5.978 - t^4.495/y - t^4.495*y | detail | |
| 3244 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}M_{5}$ | 0.589 | 0.742 | 0.7938 | [M:[1.0, 1.0346, 0.9307, 0.724, 1.276], q:[0.7587, 0.2413], qb:[0.5173, 0.552], phi:[0.4827]] | t^2.276 + t^2.38 + t^2.792 + t^2.896 + t^3. + t^3.104 + t^3.724 + 2*t^3.828 + t^3.932 + 2*t^4.552 + 2*t^4.656 + 2*t^4.76 + t^5.172 + 2*t^5.276 + 2*t^5.38 + t^5.484 + t^5.584 + t^5.688 + 2*t^5.792 - t^6. - t^4.448/y - t^4.448*y | detail | |
| 3247 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6291 | 0.8166 | 0.7704 | [M:[1.0, 1.0425, 0.915, 0.7181, 0.7181], q:[0.7606, 0.2394], qb:[0.5213, 0.5638], phi:[0.4787]] | 2*t^2.154 + t^2.282 + t^2.409 + t^2.745 + t^2.872 + t^3. + t^3.128 + t^3.718 + t^3.973 + 3*t^4.309 + 2*t^4.436 + 4*t^4.564 + 2*t^4.691 + 2*t^4.819 + 2*t^4.899 + 2*t^5.027 + 3*t^5.154 + 4*t^5.282 + 2*t^5.409 + t^5.49 + t^5.537 + t^5.617 + 2*t^5.745 + 2*t^5.872 - t^6. - t^4.436/y - t^4.436*y | detail | |
| 3245 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ | 0.6298 | 0.8198 | 0.7682 | [M:[1.0, 1.0409, 0.9182, 0.7193, 0.6784], q:[0.7602, 0.2398], qb:[0.5205, 0.5614], phi:[0.4795]] | t^2.035 + t^2.158 + t^2.281 + t^2.403 + t^2.755 + t^2.877 + t^3. + t^3.123 + t^3.719 + t^3.842 + t^4.071 + t^4.193 + 2*t^4.316 + 2*t^4.439 + 3*t^4.561 + 2*t^4.684 + t^4.79 + 2*t^4.807 + 2*t^4.913 + 2*t^5.035 + 3*t^5.158 + 3*t^5.281 + 2*t^5.403 + t^5.509 + t^5.526 + t^5.632 + 3*t^5.755 + 2*t^5.877 - t^4.439/y - t^4.439*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1735 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ | 0.6102 | 0.7816 | 0.7806 | [M:[1.0, 1.0442, 0.9116, 0.6905], q:[0.761, 0.239], qb:[0.5484, 0.54], phi:[0.4779]] | t^2.072 + t^2.337 + t^2.362 + t^2.735 + t^2.867 + t^3. + t^3.133 + t^3.771 + t^3.796 + t^3.903 + t^4.143 + t^4.408 + t^4.434 + 2*t^4.674 + 2*t^4.699 + 2*t^4.724 + t^4.806 + t^4.939 + t^5.072 + 2*t^5.204 + t^5.229 + t^5.337 + t^5.362 + t^5.469 + t^5.47 + t^5.495 + t^5.602 + 2*t^5.735 + t^5.842 + 2*t^5.867 - 2*t^6. - t^4.434/y - t^4.434*y | detail |