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 |
|---|---|---|---|---|---|---|---|---|---|
| 272 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}q_{1}q_{2}$ | 0.7075 | 0.8653 | 0.8176 | [M:[1.0, 0.8667, 0.8739, 0.6921], q:[0.8042, 0.5036], qb:[0.4964, 0.6297], phi:[0.3915]] | [M:[[0, 0], [1, -7], [-1, -7], [1, -1]], q:[[0, 1], [-1, 0]], qb:[[1, 0], [0, 7]], phi:[[0, -2]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{1}\phi_{1}^{2}$ | ${}$ | -2 | t^2.076 + t^2.349 + t^2.6 + t^2.622 + t^3. + t^3.902 + 2*t^4.153 + t^4.175 + t^4.196 + t^4.302 + t^4.426 + t^4.553 + t^4.574 + t^4.677 + 2*t^4.698 + t^4.949 + t^4.953 + t^4.971 + t^5.076 + t^5.2 + t^5.222 + t^5.244 + t^5.349 - 2*t^6. - t^6.022 + 2*t^6.229 + t^6.251 - t^6.4 + 3*t^6.502 + t^6.524 + t^6.545 + t^6.629 + t^6.651 + 2*t^6.753 + 3*t^6.775 + t^6.796 + t^6.818 + 2*t^6.902 + t^6.924 + t^7.026 + t^7.029 + 2*t^7.047 + 2*t^7.153 + t^7.175 + t^7.196 + t^7.277 + 2*t^7.298 + t^7.302 + 2*t^7.32 + t^7.426 + t^7.549 + t^7.571 + t^7.593 + t^7.698 + t^7.8 + t^7.822 - t^7.825 + t^7.844 - t^7.847 + t^7.865 + t^8.055 - 2*t^8.076 - t^8.098 - t^8.225 + 3*t^8.306 + t^8.327 - t^8.349 + t^8.392 + t^8.455 - t^8.476 + 2*t^8.578 - 2*t^8.6 - 3*t^8.622 - t^8.643 + 2*t^8.706 - t^8.749 + t^8.771 + 2*t^8.829 + 4*t^8.851 + t^8.855 + t^8.873 + t^8.894 + t^8.978 - t^4.175/y - t^6.251/y - t^6.524/y - t^6.775/y - t^6.796/y + t^7.426/y + t^7.553/y + t^7.574/y + t^7.677/y + t^7.698/y + t^7.825/y + t^7.949/y + t^7.971/y + t^8.076/y + t^8.098/y + t^8.222/y - t^8.327/y + t^8.349/y + t^8.622/y - t^8.851/y - (2*t^8.873)/y + t^8.978/y - t^4.175*y - t^6.251*y - t^6.524*y - t^6.775*y - t^6.796*y + t^7.426*y + t^7.553*y + t^7.574*y + t^7.677*y + t^7.698*y + t^7.825*y + t^7.949*y + t^7.971*y + t^8.076*y + t^8.098*y + t^8.222*y - t^8.327*y + t^8.349*y + t^8.622*y - t^8.851*y - 2*t^8.873*y + t^8.978*y | (g1*t^2.076)/g2 + t^2.349/g2^4 + (g1*t^2.6)/g2^7 + t^2.622/(g1*g2^7) + t^3. + g1*g2*t^3.902 + (2*g1^2*t^4.153)/g2^2 + t^4.175/g2^2 + t^4.196/(g1^2*g2^2) + g2^8*t^4.302 + (g1*t^4.426)/g2^5 + g1*g2^5*t^4.553 + (g2^5*t^4.574)/g1 + (g1^2*t^4.677)/g2^8 + (2*t^4.698)/g2^8 + (g1*t^4.949)/g2^11 + g2^12*t^4.953 + t^4.971/(g1*g2^11) + (g1*t^5.076)/g2 + (g1^2*t^5.2)/g2^14 + t^5.222/g2^14 + t^5.244/(g1^2*g2^14) + t^5.349/g2^4 - 2*t^6. - t^6.022/g1^2 + (2*g1^3*t^6.229)/g2^3 + (g1*t^6.251)/g2^3 - (g2^7*t^6.4)/g1 + (3*g1^2*t^6.502)/g2^6 + t^6.524/g2^6 + t^6.545/(g1^2*g2^6) + g1^2*g2^4*t^6.629 + g2^4*t^6.651 + (2*g1^3*t^6.753)/g2^9 + (3*g1*t^6.775)/g2^9 + t^6.796/(g1*g2^9) + t^6.818/(g1^3*g2^9) + 2*g1*g2*t^6.902 + (g2*t^6.924)/g1 + (g1^2*t^7.026)/g2^12 + g1*g2^11*t^7.029 + (2*t^7.047)/g2^12 + (2*g1^2*t^7.153)/g2^2 + t^7.175/g2^2 + t^7.196/(g1^2*g2^2) + (g1^3*t^7.277)/g2^15 + (2*g1*t^7.298)/g2^15 + g2^8*t^7.302 + (2*t^7.32)/(g1*g2^15) + (g1*t^7.426)/g2^5 + (g1^2*t^7.549)/g2^18 + t^7.571/g2^18 + t^7.593/(g1^2*g2^18) + t^7.698/g2^8 + (g1^3*t^7.8)/g2^21 + (g1*t^7.822)/g2^21 - g2^2*t^7.825 + t^7.844/(g1*g2^21) - (g2^2*t^7.847)/g1^2 + t^7.865/(g1^3*g2^21) + (g1^3*t^8.055)/g2 - (2*g1*t^8.076)/g2 - t^8.098/(g1*g2) - (g2^9*t^8.225)/g1 + (3*g1^4*t^8.306)/g2^4 + (g1^2*t^8.327)/g2^4 - t^8.349/g2^4 + t^8.392/(g1^4*g2^4) + g1^2*g2^6*t^8.455 - g2^6*t^8.476 + (2*g1^3*t^8.578)/g2^7 - (2*g1*t^8.6)/g2^7 - (3*t^8.622)/(g1*g2^7) - t^8.643/(g1^3*g2^7) + 2*g1^3*g2^3*t^8.706 - (g2^3*t^8.749)/g1 + (g2^3*t^8.771)/g1^3 + (2*g1^4*t^8.829)/g2^10 + (4*g1^2*t^8.851)/g2^10 + g1*g2^13*t^8.855 + t^8.873/g2^10 + t^8.894/(g1^2*g2^10) + g1^2*t^8.978 - t^4.175/(g2^2*y) - (g1*t^6.251)/(g2^3*y) - t^6.524/(g2^6*y) - (g1*t^6.775)/(g2^9*y) - t^6.796/(g1*g2^9*y) + (g1*t^7.426)/(g2^5*y) + (g1*g2^5*t^7.553)/y + (g2^5*t^7.574)/(g1*y) + (g1^2*t^7.677)/(g2^8*y) + t^7.698/(g2^8*y) + (g2^2*t^7.825)/y + (g1*t^7.949)/(g2^11*y) + t^7.971/(g1*g2^11*y) + (g1*t^8.076)/(g2*y) + t^8.098/(g1*g2*y) + t^8.222/(g2^14*y) - (g1^2*t^8.327)/(g2^4*y) + t^8.349/(g2^4*y) + t^8.622/(g1*g2^7*y) - (g1^2*t^8.851)/(g2^10*y) - (2*t^8.873)/(g2^10*y) + (g1^2*t^8.978)/y - (t^4.175*y)/g2^2 - (g1*t^6.251*y)/g2^3 - (t^6.524*y)/g2^6 - (g1*t^6.775*y)/g2^9 - (t^6.796*y)/(g1*g2^9) + (g1*t^7.426*y)/g2^5 + g1*g2^5*t^7.553*y + (g2^5*t^7.574*y)/g1 + (g1^2*t^7.677*y)/g2^8 + (t^7.698*y)/g2^8 + g2^2*t^7.825*y + (g1*t^7.949*y)/g2^11 + (t^7.971*y)/(g1*g2^11) + (g1*t^8.076*y)/g2 + (t^8.098*y)/(g1*g2) + (t^8.222*y)/g2^14 - (g1^2*t^8.327*y)/g2^4 + (t^8.349*y)/g2^4 + (t^8.622*y)/(g1*g2^7) - (g1^2*t^8.851*y)/g2^10 - (2*t^8.873*y)/g2^10 + g1^2*t^8.978*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 |
|---|---|---|---|---|---|---|---|---|
| 445 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}q_{1}q_{2}$ + ${ }M_{2}M_{4}$ | 0.6501 | 0.7927 | 0.8201 | [M:[1.0, 1.1539, 0.8975, 0.8461], q:[0.782, 0.3718], qb:[0.6282, 0.4743], phi:[0.4359]] | t^2.538 + t^2.615 + t^2.693 + t^3. + t^3.462 + t^3.539 + t^3.769 + t^3.846 + t^4.154 + t^4.231 + t^4.308 + t^4.615 + 2*t^5.077 + t^5.154 + t^5.231 + t^5.308 + t^5.385 + t^5.615 - t^6. - t^4.308/y - t^4.308*y | detail | |
| 444 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}q_{1}q_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ | 0.7281 | 0.9047 | 0.8047 | [M:[1.0, 0.869, 0.869, 0.6956, 0.6956], q:[0.8044, 0.5], qb:[0.5, 0.631], phi:[0.3912]] | 2*t^2.087 + t^2.347 + 2*t^2.607 + t^3. + 6*t^4.173 + t^4.306 + 2*t^4.434 + 2*t^4.566 + 5*t^4.694 + 2*t^4.954 + t^4.959 + 2*t^5.087 + 3*t^5.214 + t^5.347 - 4*t^6. - t^4.173/y - t^4.173*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 |
|---|---|---|---|---|---|---|---|---|---|
| 172 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ | 0.6869 | 0.8254 | 0.8322 | [M:[1.0, 0.8713, 0.8713], q:[0.8041, 0.5], qb:[0.5, 0.6287], phi:[0.3918]] | t^2.351 + 2*t^2.614 + t^3. + 2*t^3.912 + 3*t^4.175 + t^4.298 + 2*t^4.561 + t^4.702 + t^4.948 + 2*t^4.965 + 3*t^5.228 + t^5.351 - 4*t^6. - t^4.175/y - t^4.175*y | detail |