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 |
|---|---|---|---|---|---|---|---|---|---|
| 47280 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}q_{2}$ + ${ }M_{4}^{2}$ | 0.6087 | 0.7781 | 0.7823 | [M:[1.2578, 0.9373, 0.7422, 1.0, 0.7735], q:[0.5, 0.2422], qb:[0.5627, 0.7578], phi:[0.4843]] | [M:[[1], [-8], [-1], [0], [3]], q:[[0], [-1]], qb:[[8], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{3}$, ${ }M_{5}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{4}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}q_{2}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}q_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}^{3}q_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}^{4}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}q_{2}^{2}$ | ${}$ | -2 | t^2.226 + t^2.321 + t^2.415 + t^2.812 + 2*t^2.906 + t^3. + t^3.774 + t^3.868 + t^3.962 + 2*t^4.453 + t^4.547 + 3*t^4.641 + t^4.735 + 2*t^4.829 + 3*t^5.132 + 3*t^5.226 + 3*t^5.321 + t^5.415 + t^5.624 + 2*t^5.718 + 3*t^5.812 + t^5.906 - 2*t^6. + t^6.094 + t^6.188 + 2*t^6.282 + t^6.376 - t^6.491 + 2*t^6.679 + 3*t^6.774 + 4*t^6.868 + 2*t^6.962 + 3*t^7.056 + 2*t^7.15 + 2*t^7.244 + 3*t^7.359 + 2*t^7.453 + 4*t^7.547 + 4*t^7.641 + 5*t^7.735 + 2*t^7.829 + t^7.944 + 4*t^8.038 + 4*t^8.132 + t^8.226 - 2*t^8.321 - 2*t^8.415 + t^8.436 + 2*t^8.53 + 3*t^8.603 + 4*t^8.624 + 3*t^8.697 + 3*t^8.718 + 2*t^8.791 - 3*t^8.812 - 5*t^8.906 - t^4.453/y - t^6.774/y - t^7.265/y - t^7.359/y + (2*t^7.547)/y + (2*t^7.641)/y + t^7.735/y + t^8.038/y + (4*t^8.132)/y + (4*t^8.226)/y + (3*t^8.321)/y + t^8.415/y + (2*t^8.718)/y + (2*t^8.812)/y + (2*t^8.906)/y - t^4.453*y - t^6.774*y - t^7.265*y - t^7.359*y + 2*t^7.547*y + 2*t^7.641*y + t^7.735*y + t^8.038*y + 4*t^8.132*y + 4*t^8.226*y + 3*t^8.321*y + t^8.415*y + 2*t^8.718*y + 2*t^8.812*y + 2*t^8.906*y | t^2.226/g1 + g1^3*t^2.321 + g1^7*t^2.415 + t^2.812/g1^8 + (2*t^2.906)/g1^4 + t^3. + g1*t^3.774 + g1^5*t^3.868 + g1^9*t^3.962 + (2*t^4.453)/g1^2 + g1^2*t^4.547 + 3*g1^6*t^4.641 + g1^10*t^4.735 + 2*g1^14*t^4.829 + (3*t^5.132)/g1^5 + (3*t^5.226)/g1 + 3*g1^3*t^5.321 + g1^7*t^5.415 + t^5.624/g1^16 + (2*t^5.718)/g1^12 + (3*t^5.812)/g1^8 + t^5.906/g1^4 - 2*t^6. + g1^4*t^6.094 + g1^8*t^6.188 + 2*g1^12*t^6.282 + g1^16*t^6.376 - t^6.491/g1^11 + (2*t^6.679)/g1^3 + 3*g1*t^6.774 + 4*g1^5*t^6.868 + 2*g1^9*t^6.962 + 3*g1^13*t^7.056 + 2*g1^17*t^7.15 + 2*g1^21*t^7.244 + (3*t^7.359)/g1^6 + (2*t^7.453)/g1^2 + 4*g1^2*t^7.547 + 4*g1^6*t^7.641 + 5*g1^10*t^7.735 + 2*g1^14*t^7.829 + t^7.944/g1^13 + (4*t^8.038)/g1^9 + (4*t^8.132)/g1^5 + t^8.226/g1 - 2*g1^3*t^8.321 - 2*g1^7*t^8.415 + t^8.436/g1^24 + (2*t^8.53)/g1^20 + 3*g1^15*t^8.603 + (4*t^8.624)/g1^16 + 3*g1^19*t^8.697 + (3*t^8.718)/g1^12 + 2*g1^23*t^8.791 - (3*t^8.812)/g1^8 - (5*t^8.906)/g1^4 - t^4.453/(g1^2*y) - (g1*t^6.774)/y - t^7.265/(g1^10*y) - t^7.359/(g1^6*y) + (2*g1^2*t^7.547)/y + (2*g1^6*t^7.641)/y + (g1^10*t^7.735)/y + t^8.038/(g1^9*y) + (4*t^8.132)/(g1^5*y) + (4*t^8.226)/(g1*y) + (3*g1^3*t^8.321)/y + (g1^7*t^8.415)/y + (2*t^8.718)/(g1^12*y) + (2*t^8.812)/(g1^8*y) + (2*t^8.906)/(g1^4*y) - (t^4.453*y)/g1^2 - g1*t^6.774*y - (t^7.265*y)/g1^10 - (t^7.359*y)/g1^6 + 2*g1^2*t^7.547*y + 2*g1^6*t^7.641*y + g1^10*t^7.735*y + (t^8.038*y)/g1^9 + (4*t^8.132*y)/g1^5 + (4*t^8.226*y)/g1 + 3*g1^3*t^8.321*y + g1^7*t^8.415*y + (2*t^8.718*y)/g1^12 + (2*t^8.812*y)/g1^8 + (2*t^8.906*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 |
|---|---|---|---|---|---|---|---|---|
| 55439 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}q_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{1}M_{6}$ | 0.628 | 0.8135 | 0.772 | [M:[1.2582, 0.9348, 0.7418, 1.0, 0.7745, 0.7418], q:[0.5, 0.2418], qb:[0.5652, 0.7582], phi:[0.4837]] | 2*t^2.226 + t^2.323 + t^2.421 + t^2.804 + 2*t^2.902 + t^3. + t^3.872 + t^3.97 + 4*t^4.451 + 2*t^4.549 + 4*t^4.647 + t^4.745 + 2*t^4.842 + t^5.03 + 5*t^5.128 + 4*t^5.226 + 3*t^5.323 + t^5.421 + t^5.609 + 2*t^5.707 + 3*t^5.804 + t^5.902 - 3*t^6. - t^4.451/y - t^4.451*y | detail | |
| 50983 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}q_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6295 | 0.819 | 0.7686 | [M:[1.2582, 0.9342, 0.7418, 1.0, 0.7747, 0.676], q:[0.5, 0.2418], qb:[0.5658, 0.7582], phi:[0.4835]] | t^2.028 + t^2.225 + t^2.324 + t^2.423 + t^2.803 + 2*t^2.901 + t^3. + t^3.775 + t^3.873 + t^4.056 + t^4.253 + t^4.352 + 3*t^4.451 + t^4.549 + 3*t^4.648 + t^4.747 + t^4.83 + 2*t^4.846 + 2*t^4.929 + t^5.028 + 3*t^5.127 + 3*t^5.225 + 3*t^5.324 + t^5.423 + t^5.605 + 2*t^5.704 + 4*t^5.803 + 2*t^5.901 - 2*t^6. - t^4.451/y - t^4.451*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46708 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}q_{2}$ | 0.6816 | 0.8525 | 0.7995 | [M:[1.159, 1.0231, 0.841, 0.765, 0.712], q:[0.3825, 0.4585], qb:[0.5944, 0.7765], phi:[0.447]] | t^2.136 + t^2.295 + t^2.523 + t^2.682 + t^3.069 + t^3.159 + t^3.477 + t^3.636 + t^4.092 + t^4.113 + 2*t^4.272 + t^4.431 + t^4.5 + t^4.59 + t^4.659 + 2*t^4.818 + t^4.907 + t^4.977 + t^5.046 + 2*t^5.205 + t^5.295 + t^5.364 + t^5.454 + t^5.613 + t^5.682 + t^5.751 + t^5.772 + t^5.841 + t^5.931 - 2*t^6. - t^4.341/y - t^4.341*y | detail |