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 |
|---|---|---|---|---|---|---|---|---|---|
| 56174 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{2}M_{6}$ + ${ }M_{1}^{2}$ + ${ }M_{6}M_{7}$ | 0.7005 | 0.8578 | 0.8167 | [M:[1.0, 1.0314, 0.9372, 0.9058, 1.0314, 0.9686, 1.0314], q:[0.4372, 0.5628], qb:[0.5314, 0.5314], phi:[0.4843]] | [M:[[0], [2], [-4], [-6], [2], [-2], [2]], q:[[-4], [4]], qb:[[2], [2]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{2}$, ${ }M_{7}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{4}M_{7}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{3}$, ${ }M_{3}M_{7}$, ${ }M_{1}\phi_{1}^{2}$ | ${}M_{2}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$ | -2 | t^2.717 + t^2.812 + t^2.906 + t^3. + 2*t^3.094 + t^3.283 + t^4.076 + 2*t^4.359 + t^4.453 + 3*t^4.641 + 2*t^4.736 + t^4.83 + t^5.435 + t^5.529 + t^5.623 + 4*t^5.812 + t^5.906 - 2*t^6. + t^6.094 + 3*t^6.188 - t^6.283 + t^6.377 + t^6.565 + t^6.793 + t^6.888 + t^6.982 + 2*t^7.076 + 2*t^7.17 + 2*t^7.264 + 3*t^7.359 + 3*t^7.453 + 3*t^7.547 + 3*t^7.641 + 3*t^7.736 + 2*t^7.83 + 2*t^7.924 + t^8.018 + t^8.112 + 2*t^8.152 + t^8.246 + t^8.341 + 2*t^8.435 + 3*t^8.529 + t^8.623 + t^8.717 - t^8.812 + t^8.906 - t^4.453/y - t^7.17/y - t^7.264/y + t^7.359/y - t^7.547/y + t^7.641/y + t^7.736/y + t^8.529/y + t^8.623/y + (2*t^8.717)/y + (3*t^8.812)/y + (3*t^8.906)/y - t^4.453*y - t^7.17*y - t^7.264*y + t^7.359*y - t^7.547*y + t^7.641*y + t^7.736*y + t^8.529*y + t^8.623*y + 2*t^8.717*y + 3*t^8.812*y + 3*t^8.906*y | t^2.717/g1^6 + t^2.812/g1^4 + t^2.906/g1^2 + t^3. + 2*g1^2*t^3.094 + g1^6*t^3.283 + t^4.076/g1^9 + (2*t^4.359)/g1^3 + t^4.453/g1 + 3*g1^3*t^4.641 + 2*g1^5*t^4.736 + g1^7*t^4.83 + t^5.435/g1^12 + t^5.529/g1^10 + t^5.623/g1^8 + (4*t^5.812)/g1^4 + t^5.906/g1^2 - 2*t^6. + g1^2*t^6.094 + 3*g1^4*t^6.188 - g1^6*t^6.283 + g1^8*t^6.377 + g1^12*t^6.565 + t^6.793/g1^15 + t^6.888/g1^13 + t^6.982/g1^11 + (2*t^7.076)/g1^9 + (2*t^7.17)/g1^7 + (2*t^7.264)/g1^5 + (3*t^7.359)/g1^3 + (3*t^7.453)/g1 + 3*g1*t^7.547 + 3*g1^3*t^7.641 + 3*g1^5*t^7.736 + 2*g1^7*t^7.83 + 2*g1^9*t^7.924 + g1^11*t^8.018 + g1^13*t^8.112 + (2*t^8.152)/g1^18 + t^8.246/g1^16 + t^8.341/g1^14 + (2*t^8.435)/g1^12 + (3*t^8.529)/g1^10 + t^8.623/g1^8 + t^8.717/g1^6 - t^8.812/g1^4 + t^8.906/g1^2 - t^4.453/(g1*y) - t^7.17/(g1^7*y) - t^7.264/(g1^5*y) + t^7.359/(g1^3*y) - (g1*t^7.547)/y + (g1^3*t^7.641)/y + (g1^5*t^7.736)/y + t^8.529/(g1^10*y) + t^8.623/(g1^8*y) + (2*t^8.717)/(g1^6*y) + (3*t^8.812)/(g1^4*y) + (3*t^8.906)/(g1^2*y) - (t^4.453*y)/g1 - (t^7.17*y)/g1^7 - (t^7.264*y)/g1^5 + (t^7.359*y)/g1^3 - g1*t^7.547*y + g1^3*t^7.641*y + g1^5*t^7.736*y + (t^8.529*y)/g1^10 + (t^8.623*y)/g1^8 + (2*t^8.717*y)/g1^6 + (3*t^8.812*y)/g1^4 + (3*t^8.906*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 |
|---|---|---|---|---|---|---|---|---|
| 58366 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{2}M_{6}$ + ${ }M_{1}^{2}$ + ${ }M_{6}M_{7}$ + ${ }M_{8}q_{2}\tilde{q}_{1}$ | 0.7107 | 0.8766 | 0.8108 | [M:[1.0, 1.0437, 0.9126, 0.869, 1.0437, 0.9563, 1.0437, 0.869], q:[0.4126, 0.5874], qb:[0.5437, 0.5437], phi:[0.4782]] | 2*t^2.607 + t^2.738 + t^2.869 + t^3. + 2*t^3.131 + t^3.91 + 2*t^4.303 + t^4.434 + 3*t^4.697 + 2*t^4.828 + t^4.959 + 3*t^5.214 + 2*t^5.345 + 2*t^5.476 + t^5.607 + 6*t^5.738 + t^5.869 - 3*t^6. - t^4.434/y - t^4.434*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 |
|---|---|---|---|---|---|---|---|---|---|
| 50786 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{2}M_{6}$ + ${ }M_{1}^{2}$ | 0.7037 | 0.8634 | 0.8151 | [M:[1.0, 1.0362, 0.9275, 0.8913, 1.0362, 0.9638], q:[0.4275, 0.5725], qb:[0.5362, 0.5362], phi:[0.4819]] | t^2.674 + t^2.783 + 2*t^2.891 + t^3. + t^3.109 + t^3.326 + t^4.011 + 2*t^4.337 + t^4.446 + 3*t^4.663 + 2*t^4.772 + t^4.88 + t^5.348 + t^5.457 + 2*t^5.565 + t^5.674 + 5*t^5.783 + t^5.891 - 2*t^6. - t^4.446/y - t^4.446*y | detail |