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 |
|---|---|---|---|---|---|---|---|---|---|
| 5712 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$ + ${ }M_{8}q_{1}q_{2}$ + ${ }M_{7}M_{9}$ | 0.6601 | 0.8212 | 0.8039 | [M:[1.1528, 1.0902, 0.941, 0.8472, 0.698, 1.0902, 0.7293, 0.8785, 1.2707], q:[0.7726, 0.349], qb:[0.4982, 0.5608], phi:[0.4549]] | [M:[[8], [-4], [10], [-8], [6], [-4], [12], [-2], [-12]], q:[[-1], [3]], qb:[[-11], [1]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{5}$, ${ }M_{4}$, ${ }M_{8}$, ${ }M_{3}$, ${ }M_{2}$, ${ }M_{6}$, ${ }M_{1}$, ${ }M_{9}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}M_{8}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{8}$, ${ }M_{8}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{5}M_{6}$, ${ }M_{3}M_{8}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}M_{6}$, ${ }M_{2}M_{8}$, ${ }M_{6}M_{8}$, ${ }M_{5}M_{9}$ | ${}$ | -2 | t^2.094 + t^2.541 + t^2.635 + t^2.823 + 2*t^3.271 + t^3.459 + t^3.812 + t^4. + t^4.094 + t^4.188 + t^4.354 + t^4.541 + t^4.635 + 2*t^4.729 + t^4.917 + t^5.083 + t^5.177 + t^5.271 + 2*t^5.365 + t^5.459 + t^5.646 + t^5.812 + 3*t^5.906 - 2*t^6. + 3*t^6.094 + 2*t^6.282 + t^6.354 + t^6.448 + 2*t^6.541 + t^6.635 + t^6.729 + 2*t^6.823 + t^6.895 + t^6.917 + t^6.989 + t^7.011 + 2*t^7.083 + t^7.177 + 2*t^7.271 + 2*t^7.365 + 2*t^7.459 + 2*t^7.552 + 3*t^7.624 + t^7.74 + 2*t^7.812 + t^7.906 + 3*t^8. - 2*t^8.094 + t^8.166 + 3*t^8.188 + t^8.282 + 2*t^8.354 + t^8.376 + t^8.448 + t^8.469 + 2*t^8.541 - 2*t^8.635 + t^8.707 + 3*t^8.729 - 3*t^8.823 + 2*t^8.895 + 4*t^8.917 + t^8.989 - t^4.365/y - t^6.459/y - t^7./y + t^7.094/y - t^7.188/y + t^7.541/y + (2*t^7.729)/y + t^7.917/y + t^8.177/y + t^8.271/y + (3*t^8.365)/y + t^8.459/y + (2*t^8.812)/y + (3*t^8.906)/y - t^4.365*y - t^6.459*y - t^7.*y + t^7.094*y - t^7.188*y + t^7.541*y + 2*t^7.729*y + t^7.917*y + t^8.177*y + t^8.271*y + 3*t^8.365*y + t^8.459*y + 2*t^8.812*y + 3*t^8.906*y | g1^6*t^2.094 + t^2.541/g1^8 + t^2.635/g1^2 + g1^10*t^2.823 + (2*t^3.271)/g1^4 + g1^8*t^3.459 + t^3.812/g1^12 + t^4. + g1^6*t^4.094 + g1^12*t^4.188 + t^4.354/g1^20 + t^4.541/g1^8 + t^4.635/g1^2 + 2*g1^4*t^4.729 + g1^16*t^4.917 + t^5.083/g1^16 + t^5.177/g1^10 + t^5.271/g1^4 + 2*g1^2*t^5.365 + g1^8*t^5.459 + g1^20*t^5.646 + t^5.812/g1^12 + (3*t^5.906)/g1^6 - 2*t^6. + 3*g1^6*t^6.094 + 2*g1^18*t^6.282 + t^6.354/g1^20 + t^6.448/g1^14 + (2*t^6.541)/g1^8 + t^6.635/g1^2 + g1^4*t^6.729 + 2*g1^10*t^6.823 + t^6.895/g1^28 + g1^16*t^6.917 + t^6.989/g1^22 + g1^22*t^7.011 + (2*t^7.083)/g1^16 + t^7.177/g1^10 + (2*t^7.271)/g1^4 + 2*g1^2*t^7.365 + 2*g1^8*t^7.459 + 2*g1^14*t^7.552 + (3*t^7.624)/g1^24 + g1^26*t^7.74 + (2*t^7.812)/g1^12 + t^7.906/g1^6 + 3*t^8. - 2*g1^6*t^8.094 + t^8.166/g1^32 + 3*g1^12*t^8.188 + g1^18*t^8.282 + (2*t^8.354)/g1^20 + g1^24*t^8.376 + t^8.448/g1^14 + g1^30*t^8.469 + (2*t^8.541)/g1^8 - (2*t^8.635)/g1^2 + t^8.707/g1^40 + 3*g1^4*t^8.729 - 3*g1^10*t^8.823 + (2*t^8.895)/g1^28 + 4*g1^16*t^8.917 + t^8.989/g1^22 - (g1^2*t^4.365)/y - (g1^8*t^6.459)/y - t^7./y + (g1^6*t^7.094)/y - (g1^12*t^7.188)/y + t^7.541/(g1^8*y) + (2*g1^4*t^7.729)/y + (g1^16*t^7.917)/y + t^8.177/(g1^10*y) + t^8.271/(g1^4*y) + (3*g1^2*t^8.365)/y + (g1^8*t^8.459)/y + (2*t^8.812)/(g1^12*y) + (3*t^8.906)/(g1^6*y) - g1^2*t^4.365*y - g1^8*t^6.459*y - t^7.*y + g1^6*t^7.094*y - g1^12*t^7.188*y + (t^7.541*y)/g1^8 + 2*g1^4*t^7.729*y + g1^16*t^7.917*y + (t^8.177*y)/g1^10 + (t^8.271*y)/g1^4 + 3*g1^2*t^8.365*y + g1^8*t^8.459*y + (2*t^8.812*y)/g1^12 + (3*t^8.906*y)/g1^6 |
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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 4226 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$ + ${ }M_{8}q_{1}q_{2}$ | 0.6802 | 0.8587 | 0.7921 | [M:[1.1435, 1.0949, 0.9294, 0.8565, 0.691, 1.0949, 0.7153, 0.8808], q:[0.7737, 0.3455], qb:[0.511, 0.5596], phi:[0.4525]] | t^2.073 + t^2.146 + t^2.569 + t^2.642 + t^2.788 + 2*t^3.285 + t^3.431 + t^4. + t^4.073 + t^4.146 + t^4.219 + t^4.292 + t^4.424 + t^4.569 + t^4.642 + 3*t^4.715 + t^4.788 + t^4.861 + t^4.934 + t^5.139 + t^5.212 + t^5.285 + 2*t^5.358 + 3*t^5.431 + 2*t^5.576 + t^5.854 + 2*t^5.927 - 2*t^6. - t^4.358/y - t^4.358*y | detail |