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 |
|---|---|---|---|---|---|---|---|---|---|
| 912 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}^{2}$ | 0.7083 | 0.8692 | 0.8149 | [M:[1.0, 0.9016, 0.8525, 1.0492, 1.0], q:[0.5738, 0.4262], qb:[0.5738, 0.5246], phi:[0.4754]] | [M:[[0], [-4], [-6], [2], [0]], q:[[3], [-3]], qb:[[3], [1]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{3}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{5}$, ${ }M_{4}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}M_{5}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$ | ${}M_{1}M_{5}$ | -1 | t^2.557 + t^2.705 + t^2.852 + 2*t^3. + t^3.148 + t^3.295 + t^3.984 + t^4.279 + 2*t^4.426 + t^4.574 + 2*t^4.721 + 3*t^4.869 + t^5.115 + t^5.262 + 2*t^5.41 + t^5.557 + 3*t^5.705 + 2*t^5.852 - t^6. + t^6.148 + t^6.295 - t^6.443 + t^6.541 + t^6.59 + t^6.688 + 2*t^6.836 + 3*t^6.984 + 3*t^7.131 + 4*t^7.279 + 4*t^7.426 + 4*t^7.574 + t^7.672 + 3*t^7.721 + t^7.82 + 3*t^7.869 + 3*t^7.967 + t^8.016 + 2*t^8.115 + t^8.164 + 3*t^8.262 + 4*t^8.41 + t^8.852 - t^4.426/y - t^6.984/y - t^7.131/y + t^7.721/y + t^7.869/y + t^8.262/y + t^8.41/y + (3*t^8.557)/y + (3*t^8.705)/y + (4*t^8.852)/y - t^4.426*y - t^6.984*y - t^7.131*y + t^7.721*y + t^7.869*y + t^8.262*y + t^8.41*y + 3*t^8.557*y + 3*t^8.705*y + 4*t^8.852*y | t^2.557/g1^6 + t^2.705/g1^4 + t^2.852/g1^2 + 2*t^3. + g1^2*t^3.148 + g1^4*t^3.295 + t^3.984/g1^7 + t^4.279/g1^3 + (2*t^4.426)/g1 + g1*t^4.574 + 2*g1^3*t^4.721 + 3*g1^5*t^4.869 + t^5.115/g1^12 + t^5.262/g1^10 + (2*t^5.41)/g1^8 + t^5.557/g1^6 + (3*t^5.705)/g1^4 + (2*t^5.852)/g1^2 - t^6. + g1^2*t^6.148 + g1^4*t^6.295 - g1^6*t^6.443 + t^6.541/g1^13 + g1^8*t^6.59 + t^6.688/g1^11 + (2*t^6.836)/g1^9 + (3*t^6.984)/g1^7 + (3*t^7.131)/g1^5 + (4*t^7.279)/g1^3 + (4*t^7.426)/g1 + 4*g1*t^7.574 + t^7.672/g1^18 + 3*g1^3*t^7.721 + t^7.82/g1^16 + 3*g1^5*t^7.869 + (3*t^7.967)/g1^14 + g1^7*t^8.016 + (2*t^8.115)/g1^12 + g1^9*t^8.164 + (3*t^8.262)/g1^10 + (4*t^8.41)/g1^8 + t^8.852/g1^2 - t^4.426/(g1*y) - t^6.984/(g1^7*y) - t^7.131/(g1^5*y) + (g1^3*t^7.721)/y + (g1^5*t^7.869)/y + t^8.262/(g1^10*y) + t^8.41/(g1^8*y) + (3*t^8.557)/(g1^6*y) + (3*t^8.705)/(g1^4*y) + (4*t^8.852)/(g1^2*y) - (t^4.426*y)/g1 - (t^6.984*y)/g1^7 - (t^7.131*y)/g1^5 + g1^3*t^7.721*y + g1^5*t^7.869*y + (t^8.262*y)/g1^10 + (t^8.41*y)/g1^8 + (3*t^8.557*y)/g1^6 + (3*t^8.705*y)/g1^4 + (4*t^8.852*y)/g1^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 1393 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{4}M_{6}$ | 0.7132 | 0.878 | 0.8122 | [M:[1.0, 0.8894, 0.834, 1.0553, 1.0, 0.9447], q:[0.583, 0.417], qb:[0.583, 0.5277], phi:[0.4723]] | t^2.502 + t^2.668 + 2*t^2.834 + 2*t^3. + t^3.332 + t^3.919 + t^4.251 + 2*t^4.417 + t^4.583 + 2*t^4.749 + 3*t^4.915 + t^5.004 + t^5.17 + 3*t^5.336 + 2*t^5.502 + 4*t^5.668 + 3*t^5.834 - 2*t^6. - t^4.417/y - t^4.417*y | detail | |
| 1396 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ | 0.7291 | 0.9105 | 0.8008 | [M:[1.0, 0.9026, 0.8539, 1.0487, 1.0, 0.6704], q:[0.573, 0.427], qb:[0.573, 0.5243], phi:[0.4757]] | t^2.011 + t^2.562 + t^2.708 + t^2.854 + 2*t^3. + t^3.146 + t^3.292 + t^4.022 + t^4.281 + 2*t^4.427 + 2*t^4.573 + 3*t^4.719 + 4*t^4.865 + 2*t^5.011 + t^5.124 + t^5.157 + t^5.27 + t^5.303 + 2*t^5.416 + t^5.562 + 3*t^5.708 + 2*t^5.854 - t^6. - t^4.427/y - t^4.427*y | detail | |
| 1395 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ | 0.704 | 0.8616 | 0.8171 | [M:[1.0, 0.9143, 0.8714, 1.0429, 1.0, 1.0429], q:[0.5643, 0.4357], qb:[0.5643, 0.5214], phi:[0.4786]] | t^2.614 + t^2.743 + 2*t^3. + 2*t^3.129 + t^3.257 + t^4.05 + t^4.307 + 2*t^4.436 + t^4.564 + 2*t^4.693 + 3*t^4.821 + t^5.229 + t^5.357 + t^5.486 + 3*t^5.743 + t^5.871 - 2*t^6. - t^4.436/y - t^4.436*y | detail | |
| 1394 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.7182 | 0.8876 | 0.8092 | [M:[1.0, 0.8798, 0.8198, 1.0601, 1.0, 0.8798], q:[0.5901, 0.4099], qb:[0.5901, 0.53], phi:[0.47]] | t^2.459 + 2*t^2.64 + t^2.82 + 2*t^3. + t^3.18 + t^3.869 + t^4.23 + 2*t^4.41 + t^4.59 + 2*t^4.77 + t^4.919 + 3*t^4.951 + 2*t^5.099 + 4*t^5.279 + 2*t^5.459 + 5*t^5.64 + 2*t^5.82 - 2*t^6. - t^4.41/y - t^4.41*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 |
|---|---|---|---|---|---|---|---|---|---|
| 588 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}^{2}$ | 0.7293 | 0.896 | 0.8139 | [M:[1.0, 0.7765, 0.8995, 0.877, 1.0], q:[0.5503, 0.4497], qb:[0.5503, 0.6733], phi:[0.4441]] | t^2.329 + t^2.631 + t^2.665 + t^2.698 + 2*t^3. + t^3.671 + t^4.031 + 2*t^4.332 + 3*t^4.634 + t^4.659 + t^4.701 + t^4.96 + t^4.994 + 2*t^5.003 + t^5.028 + t^5.262 + t^5.296 + 3*t^5.329 + t^5.363 + t^5.372 + t^5.397 + 2*t^5.665 - 2*t^6. - t^4.332/y - t^4.332*y | detail |