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 |
|---|---|---|---|---|---|---|---|---|---|
| 1618 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6781 | 0.8463 | 0.8012 | [M:[1.1537, 1.1284, 0.8968, 1.0, 0.8463, 0.7431, 0.7179], q:[0.7821, 0.4748], qb:[0.3716, 0.6284], phi:[0.4358]] | [M:[[-3], [4], [-11], [0], [3], [-8], [-1]], q:[[1], [7]], qb:[[-4], [4]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{7}$, ${ }M_{6}$, ${ }M_{5}$, ${ }M_{3}$, ${ }M_{4}$, ${ }M_{2}$, ${ }M_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{7}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}M_{7}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{5}M_{7}$, ${ }M_{5}M_{6}$, ${ }M_{3}M_{7}$, ${ }M_{3}M_{6}$, ${ }M_{5}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{3}M_{5}$, ${ }M_{4}M_{6}$, ${ }M_{3}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{2}M_{7}$, ${ }M_{2}M_{6}$, ${ }M_{1}M_{7}$, ${ }M_{3}M_{4}$, ${ }M_{1}M_{6}$, ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{5}$ | ${}$ | -1 | t^2.154 + t^2.229 + t^2.539 + t^2.69 + t^3. + t^3.385 + t^3.461 + t^3.537 + t^4.156 + t^4.232 + 2*t^4.307 + t^4.383 + t^4.459 + t^4.617 + t^4.693 + t^4.768 + t^4.844 + t^4.92 + 2*t^5.078 + t^5.154 + t^5.229 + t^5.381 + t^5.539 + 2*t^5.615 + 2*t^5.69 + t^5.766 + t^5.924 - t^6. + t^6.076 + t^6.151 + t^6.227 + 2*t^6.385 + 2*t^6.461 + 2*t^6.537 + t^6.612 + t^6.688 + t^6.695 + t^6.771 + 2*t^6.846 + 2*t^6.922 + 3*t^6.998 + 2*t^7.073 + t^7.149 + t^7.156 + t^7.232 + 2*t^7.307 + t^7.383 + t^7.459 + t^7.534 + t^7.61 + 2*t^7.617 + 2*t^7.693 + 3*t^7.768 + 4*t^7.844 + 2*t^7.92 + t^7.995 + t^8.071 - t^8.154 - t^8.229 + 2*t^8.305 + t^8.312 + 2*t^8.381 + t^8.456 + t^8.463 + 4*t^8.615 + 2*t^8.766 + t^8.773 + 2*t^8.842 + 2*t^8.917 - t^4.307/y - t^6.461/y - t^6.537/y - t^6.998/y + t^7.383/y + t^7.617/y + t^7.693/y + t^7.768/y + t^7.844/y + t^7.92/y + t^8.078/y + (2*t^8.154)/y + (2*t^8.229)/y + (2*t^8.539)/y + t^8.615/y + (2*t^8.69)/y + t^8.924/y - t^4.307*y - t^6.461*y - t^6.537*y - t^6.998*y + t^7.383*y + t^7.617*y + t^7.693*y + t^7.768*y + t^7.844*y + t^7.92*y + t^8.078*y + 2*t^8.154*y + 2*t^8.229*y + 2*t^8.539*y + t^8.615*y + 2*t^8.69*y + t^8.924*y | t^2.154/g1 + t^2.229/g1^8 + g1^3*t^2.539 + t^2.69/g1^11 + t^3. + g1^4*t^3.385 + t^3.461/g1^3 + t^3.537/g1^10 + g1^12*t^4.156 + g1^5*t^4.232 + (2*t^4.307)/g1^2 + t^4.383/g1^9 + t^4.459/g1^16 + g1^9*t^4.617 + g1^2*t^4.693 + t^4.768/g1^5 + t^4.844/g1^12 + t^4.92/g1^19 + 2*g1^6*t^5.078 + t^5.154/g1 + t^5.229/g1^8 + t^5.381/g1^22 + g1^3*t^5.539 + (2*t^5.615)/g1^4 + (2*t^5.69)/g1^11 + t^5.766/g1^18 + g1^7*t^5.924 - t^6. + t^6.076/g1^7 + t^6.151/g1^14 + t^6.227/g1^21 + 2*g1^4*t^6.385 + (2*t^6.461)/g1^3 + (2*t^6.537)/g1^10 + t^6.612/g1^17 + t^6.688/g1^24 + g1^15*t^6.695 + g1^8*t^6.771 + 2*g1*t^6.846 + (2*t^6.922)/g1^6 + (3*t^6.998)/g1^13 + (2*t^7.073)/g1^20 + t^7.149/g1^27 + g1^12*t^7.156 + g1^5*t^7.232 + (2*t^7.307)/g1^2 + t^7.383/g1^9 + t^7.459/g1^16 + t^7.534/g1^23 + t^7.61/g1^30 + 2*g1^9*t^7.617 + 2*g1^2*t^7.693 + (3*t^7.768)/g1^5 + (4*t^7.844)/g1^12 + (2*t^7.92)/g1^19 + t^7.995/g1^26 + t^8.071/g1^33 - t^8.154/g1 - t^8.229/g1^8 + (2*t^8.305)/g1^15 + g1^24*t^8.312 + (2*t^8.381)/g1^22 + t^8.456/g1^29 + g1^10*t^8.463 + (4*t^8.615)/g1^4 + (2*t^8.766)/g1^18 + g1^21*t^8.773 + (2*t^8.842)/g1^25 + (2*t^8.917)/g1^32 - t^4.307/(g1^2*y) - t^6.461/(g1^3*y) - t^6.537/(g1^10*y) - t^6.998/(g1^13*y) + t^7.383/(g1^9*y) + (g1^9*t^7.617)/y + (g1^2*t^7.693)/y + t^7.768/(g1^5*y) + t^7.844/(g1^12*y) + t^7.92/(g1^19*y) + (g1^6*t^8.078)/y + (2*t^8.154)/(g1*y) + (2*t^8.229)/(g1^8*y) + (2*g1^3*t^8.539)/y + t^8.615/(g1^4*y) + (2*t^8.69)/(g1^11*y) + (g1^7*t^8.924)/y - (t^4.307*y)/g1^2 - (t^6.461*y)/g1^3 - (t^6.537*y)/g1^10 - (t^6.998*y)/g1^13 + (t^7.383*y)/g1^9 + g1^9*t^7.617*y + g1^2*t^7.693*y + (t^7.768*y)/g1^5 + (t^7.844*y)/g1^12 + (t^7.92*y)/g1^19 + g1^6*t^8.078*y + (2*t^8.154*y)/g1 + (2*t^8.229*y)/g1^8 + 2*g1^3*t^8.539*y + (t^8.615*y)/g1^4 + (2*t^8.69*y)/g1^11 + g1^7*t^8.924*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 |
|---|---|---|---|---|---|---|---|---|
| 4010 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{8}$ | 0.6916 | 0.8693 | 0.7956 | [M:[1.157, 1.124, 0.909, 1.0, 0.843, 0.752, 0.719, 0.843], q:[0.781, 0.467], qb:[0.376, 0.624], phi:[0.438]] | t^2.157 + t^2.256 + 2*t^2.529 + t^2.727 + t^3. + t^3.372 + t^3.57 + t^4.116 + t^4.215 + 2*t^4.314 + t^4.413 + t^4.512 + t^4.587 + 2*t^4.686 + 2*t^4.785 + t^4.884 + t^4.983 + 4*t^5.058 + t^5.157 + 2*t^5.256 + t^5.454 + 2*t^5.529 + t^5.628 + t^5.727 + t^5.826 + 2*t^5.901 - 2*t^6. - t^4.314/y - t^4.314*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1037 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}q_{1}q_{2}$ | 0.6579 | 0.8085 | 0.8137 | [M:[1.1541, 1.1279, 0.8983, 1.0, 0.8459, 0.7442], q:[0.782, 0.4738], qb:[0.3721, 0.6279], phi:[0.436]] | t^2.233 + t^2.538 + t^2.695 + t^3. + t^3.384 + t^3.462 + t^3.541 + t^3.846 + t^4.151 + t^4.23 + t^4.308 + t^4.465 + t^4.613 + t^4.77 + t^4.927 + 2*t^5.076 + t^5.233 + t^5.39 + t^5.616 + t^5.695 + t^5.773 + t^5.921 - t^6. - t^4.308/y - t^4.308*y | detail |