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 |
|---|---|---|---|---|---|---|---|---|---|
| 4009 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6711 | 0.8346 | 0.8041 | [M:[1.1693, 1.1076, 0.9542, 1.0, 0.8307, 0.7849, 1.0458, 0.7231], q:[0.7769, 0.4382], qb:[0.3924, 0.6076], phi:[0.4462]] | [M:[[-3], [4], [-11], [0], [3], [-8], [11], [-1]], q:[[1], [7]], qb:[[-4], [4]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{8}$, ${ }M_{6}$, ${ }M_{5}$, ${ }M_{4}$, ${ }M_{7}$, ${ }M_{2}$, ${ }M_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{8}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{6}M_{8}$, ${ }M_{5}M_{8}$, ${ }M_{6}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{5}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}M_{8}$, ${ }M_{7}M_{8}$, ${ }M_{4}M_{5}$, ${ }M_{6}M_{7}$, ${ }M_{2}M_{8}$, ${ }M_{5}M_{7}$, ${ }M_{2}M_{6}$, ${ }M_{1}M_{8}$, ${ }M_{2}M_{5}$, ${ }M_{1}M_{6}$, ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$ | ${}$ | -1 | t^2.169 + t^2.355 + t^2.492 + t^3. + t^3.137 + t^3.323 + t^3.508 + t^3.693 + t^3.968 + t^4.153 + 2*t^4.339 + t^4.476 + t^4.524 + t^4.661 + t^4.709 + t^4.847 + 2*t^4.984 + t^5.169 + t^5.307 + 2*t^5.492 + t^5.629 + 2*t^5.677 + t^5.815 + t^5.863 - t^6. + t^6.048 + t^6.137 + t^6.275 + 2*t^6.323 + 2*t^6.46 + 2*t^6.508 + 2*t^6.645 + 2*t^6.693 + 2*t^6.831 + t^6.878 + t^6.968 + t^7.016 + t^7.064 + t^7.106 + t^7.153 + t^7.201 + t^7.291 + t^7.339 + t^7.386 + 4*t^7.476 + t^7.614 + 3*t^7.661 + t^7.799 + 2*t^7.847 + t^7.936 + t^7.984 + 3*t^8.032 + 2*t^8.122 - t^8.169 + t^8.217 + 2*t^8.307 - 2*t^8.355 + t^8.402 + 2*t^8.444 + 2*t^8.629 + 3*t^8.677 + t^8.767 + 2*t^8.815 + t^8.863 + 3*t^8.952 - t^4.339/y - t^6.508/y - t^6.693/y + t^7.524/y + t^7.661/y + t^7.847/y + t^7.984/y + (2*t^8.169)/y + t^8.307/y + t^8.355/y + (3*t^8.492)/y + t^8.629/y + t^8.677/y + t^8.815/y + t^8.863/y - t^4.339*y - t^6.508*y - t^6.693*y + t^7.524*y + t^7.661*y + t^7.847*y + t^7.984*y + 2*t^8.169*y + t^8.307*y + t^8.355*y + 3*t^8.492*y + t^8.629*y + t^8.677*y + t^8.815*y + t^8.863*y | t^2.169/g1 + t^2.355/g1^8 + g1^3*t^2.492 + t^3. + g1^11*t^3.137 + g1^4*t^3.323 + t^3.508/g1^3 + t^3.693/g1^10 + g1^12*t^3.968 + g1^5*t^4.153 + (2*t^4.339)/g1^2 + g1^9*t^4.476 + t^4.524/g1^9 + g1^2*t^4.661 + t^4.709/g1^16 + t^4.847/g1^5 + 2*g1^6*t^4.984 + t^5.169/g1 + g1^10*t^5.307 + 2*g1^3*t^5.492 + g1^14*t^5.629 + (2*t^5.677)/g1^4 + g1^7*t^5.815 + t^5.863/g1^11 - t^6. + t^6.048/g1^18 + g1^11*t^6.137 + g1^22*t^6.275 + 2*g1^4*t^6.323 + 2*g1^15*t^6.46 + (2*t^6.508)/g1^3 + 2*g1^8*t^6.645 + (2*t^6.693)/g1^10 + 2*g1*t^6.831 + t^6.878/g1^17 + g1^12*t^6.968 + t^7.016/g1^6 + t^7.064/g1^24 + g1^23*t^7.106 + g1^5*t^7.153 + t^7.201/g1^13 + g1^16*t^7.291 + t^7.339/g1^2 + t^7.386/g1^20 + 4*g1^9*t^7.476 + g1^20*t^7.614 + 3*g1^2*t^7.661 + g1^13*t^7.799 + (2*t^7.847)/g1^5 + g1^24*t^7.936 + g1^6*t^7.984 + (3*t^8.032)/g1^12 + 2*g1^17*t^8.122 - t^8.169/g1 + t^8.217/g1^19 + 2*g1^10*t^8.307 - (2*t^8.355)/g1^8 + t^8.402/g1^26 + 2*g1^21*t^8.444 + 2*g1^14*t^8.629 + (3*t^8.677)/g1^4 + g1^25*t^8.767 + 2*g1^7*t^8.815 + t^8.863/g1^11 + 3*g1^18*t^8.952 - t^4.339/(g1^2*y) - t^6.508/(g1^3*y) - t^6.693/(g1^10*y) + t^7.524/(g1^9*y) + (g1^2*t^7.661)/y + t^7.847/(g1^5*y) + (g1^6*t^7.984)/y + (2*t^8.169)/(g1*y) + (g1^10*t^8.307)/y + t^8.355/(g1^8*y) + (3*g1^3*t^8.492)/y + (g1^14*t^8.629)/y + t^8.677/(g1^4*y) + (g1^7*t^8.815)/y + t^8.863/(g1^11*y) - (t^4.339*y)/g1^2 - (t^6.508*y)/g1^3 - (t^6.693*y)/g1^10 + (t^7.524*y)/g1^9 + g1^2*t^7.661*y + (t^7.847*y)/g1^5 + g1^6*t^7.984*y + (2*t^8.169*y)/g1 + g1^10*t^8.307*y + (t^8.355*y)/g1^8 + 3*g1^3*t^8.492*y + g1^14*t^8.629*y + (t^8.677*y)/g1^4 + g1^7*t^8.815*y + (t^8.863*y)/g1^11 |
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 |
|---|---|---|---|---|---|---|---|---|
| 5553 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{9}$ | 0.6858 | 0.8604 | 0.797 | [M:[1.1728, 1.103, 0.9668, 1.0, 0.8272, 0.794, 1.0332, 0.7243, 0.8272], q:[0.7757, 0.4302], qb:[0.397, 0.603], phi:[0.4485]] | t^2.173 + t^2.382 + 2*t^2.482 + t^3. + t^3.1 + t^3.309 + t^3.728 + t^3.927 + t^4.136 + 2*t^4.346 + t^4.445 + t^4.555 + 2*t^4.654 + t^4.764 + 2*t^4.864 + 4*t^4.963 + t^5.173 + t^5.272 + 3*t^5.482 + 2*t^5.581 + t^5.691 + 2*t^5.791 - 2*t^6. - t^4.346/y - t^4.346*y | detail | |
| 5554 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{9}\phi_{1}q_{2}^{2}$ | 0.6919 | 0.8757 | 0.7902 | [M:[1.1685, 1.1087, 0.9512, 1.0, 0.8315, 0.7827, 1.0488, 0.7228, 0.674], q:[0.7772, 0.4402], qb:[0.3913, 0.6087], phi:[0.4457]] | t^2.022 + t^2.169 + t^2.348 + t^2.494 + t^3. + t^3.146 + t^3.326 + t^3.506 + t^3.685 + t^4.044 + t^4.157 + t^4.191 + 2*t^4.337 + t^4.37 + t^4.483 + 2*t^4.517 + t^4.663 + t^4.696 + t^4.843 + 2*t^4.989 + t^5.022 + 2*t^5.169 + t^5.315 + t^5.348 + 2*t^5.494 + t^5.528 + t^5.641 + 2*t^5.674 + t^5.707 + t^5.82 + t^5.854 - t^6. - t^4.337/y - t^4.337*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1617 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{3}M_{7}$ | 0.6511 | 0.7974 | 0.8166 | [M:[1.1698, 1.1069, 0.956, 1.0, 0.8302, 0.7862, 1.044], q:[0.7767, 0.4371], qb:[0.3931, 0.6069], phi:[0.4465]] | t^2.358 + t^2.491 + t^3. + t^3.132 + t^3.321 + t^3.509 + t^3.698 + t^3.83 + t^3.962 + t^4.151 + t^4.34 + t^4.472 + t^4.717 + t^4.849 + 2*t^4.981 + t^5.491 + t^5.623 + t^5.679 + t^5.811 - t^6. - t^4.34/y - t^4.34*y | detail |