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 |
|---|---|---|---|---|---|---|---|---|---|
| 4335 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{5}M_{7}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$ | 0.5849 | 0.7406 | 0.7897 | [M:[1.0, 1.0726, 0.8547, 0.6816, 0.7821, 1.1453, 1.2179, 1.0726], q:[0.7682, 0.2318], qb:[0.6229, 0.5224], phi:[0.4637]] | [M:[[0], [4], [-8], [10], [-12], [8], [12], [4]], q:[[1], [-1]], qb:[[-7], [15]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{1}$, ${ }M_{2}$, ${ }M_{8}$, ${ }M_{6}$, ${ }M_{7}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}M_{8}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{8}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}M_{7}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{8}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{7}q_{2}\tilde{q}_{2}$ | ${}$ | -2 | t^2.045 + t^2.263 + t^2.564 + t^3. + 2*t^3.218 + t^3.436 + t^3.654 + t^3.872 + t^4.089 + t^4.173 + t^4.307 + 2*t^4.525 + t^4.609 + t^4.827 + t^5.045 + t^5.128 + 3*t^5.263 + 3*t^5.48 + t^5.564 + t^5.698 + t^5.782 + 2*t^5.916 - 2*t^6. + 2*t^6.134 + 2*t^6.218 - t^6.302 + t^6.352 + 4*t^6.436 - t^6.52 + 2*t^6.57 + 2*t^6.654 + 2*t^6.788 + 3*t^6.872 - 2*t^6.955 + 4*t^7.089 + 4*t^7.307 + 5*t^7.525 - t^7.609 + 5*t^7.743 + t^7.827 - t^7.911 + 3*t^7.961 - t^8.045 + 4*t^8.179 - t^8.263 + 3*t^8.397 + 4*t^8.48 - 4*t^8.564 + 2*t^8.615 + 6*t^8.698 - t^8.782 + 2*t^8.833 + 2*t^8.916 - t^4.391/y - t^6.436/y + t^7.173/y + t^7.307/y + t^7.827/y + t^8.045/y + (3*t^8.263)/y + t^8.346/y + (2*t^8.48)/y + t^8.564/y + (2*t^8.698)/y + (2*t^8.782)/y + (2*t^8.916)/y - t^4.391*y - t^6.436*y + t^7.173*y + t^7.307*y + t^7.827*y + t^8.045*y + 3*t^8.263*y + t^8.346*y + 2*t^8.48*y + t^8.564*y + 2*t^8.698*y + 2*t^8.782*y + 2*t^8.916*y | g1^10*t^2.045 + g1^14*t^2.263 + t^2.564/g1^8 + t^3. + 2*g1^4*t^3.218 + g1^8*t^3.436 + g1^12*t^3.654 + g1^16*t^3.872 + g1^20*t^4.089 + t^4.173/g1^6 + g1^24*t^4.307 + 2*g1^28*t^4.525 + g1^2*t^4.609 + g1^6*t^4.827 + g1^10*t^5.045 + t^5.128/g1^16 + 3*g1^14*t^5.263 + 3*g1^18*t^5.48 + t^5.564/g1^8 + g1^22*t^5.698 + t^5.782/g1^4 + 2*g1^26*t^5.916 - 2*t^6. + 2*g1^30*t^6.134 + 2*g1^4*t^6.218 - t^6.302/g1^22 + g1^34*t^6.352 + 4*g1^8*t^6.436 - t^6.52/g1^18 + 2*g1^38*t^6.57 + 2*g1^12*t^6.654 + 2*g1^42*t^6.788 + 3*g1^16*t^6.872 - (2*t^6.955)/g1^10 + 4*g1^20*t^7.089 + 4*g1^24*t^7.307 + 5*g1^28*t^7.525 - g1^2*t^7.609 + 5*g1^32*t^7.743 + g1^6*t^7.827 - t^7.911/g1^20 + 3*g1^36*t^7.961 - g1^10*t^8.045 + 4*g1^40*t^8.179 - g1^14*t^8.263 + 3*g1^44*t^8.397 + 4*g1^18*t^8.48 - (4*t^8.564)/g1^8 + 2*g1^48*t^8.615 + 6*g1^22*t^8.698 - t^8.782/g1^4 + 2*g1^52*t^8.833 + 2*g1^26*t^8.916 - t^4.391/(g1^2*y) - (g1^8*t^6.436)/y + t^7.173/(g1^6*y) + (g1^24*t^7.307)/y + (g1^6*t^7.827)/y + (g1^10*t^8.045)/y + (3*g1^14*t^8.263)/y + t^8.346/(g1^12*y) + (2*g1^18*t^8.48)/y + t^8.564/(g1^8*y) + (2*g1^22*t^8.698)/y + (2*t^8.782)/(g1^4*y) + (2*g1^26*t^8.916)/y - (t^4.391*y)/g1^2 - g1^8*t^6.436*y + (t^7.173*y)/g1^6 + g1^24*t^7.307*y + g1^6*t^7.827*y + g1^10*t^8.045*y + 3*g1^14*t^8.263*y + (t^8.346*y)/g1^12 + 2*g1^18*t^8.48*y + (t^8.564*y)/g1^8 + 2*g1^22*t^8.698*y + (2*t^8.782*y)/g1^4 + 2*g1^26*t^8.916*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 |
|---|---|---|---|---|---|---|---|---|
| 5784 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{5}M_{7}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$ + ${ }M_{6}M_{9}$ | 0.598 | 0.7613 | 0.7855 | [M:[1.0, 1.0775, 0.845, 0.6938, 0.7675, 1.155, 1.2325, 1.0775, 0.845], q:[0.7694, 0.2306], qb:[0.6144, 0.5407], phi:[0.4612]] | t^2.081 + t^2.314 + 2*t^2.535 + t^3. + 2*t^3.233 + t^3.698 + t^3.93 + t^4.151 + t^4.163 + t^4.395 + 2*t^4.616 + 2*t^4.628 + 2*t^4.849 + 3*t^5.07 + t^5.081 + 3*t^5.314 + 2*t^5.535 + 2*t^5.546 + 3*t^5.767 - 3*t^6. - t^4.384/y - t^4.384*y | detail | |
| 5785 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{5}M_{7}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$ + ${ }M_{7}M_{9}$ | 0.6028 | 0.7709 | 0.7819 | [M:[1.0, 1.0774, 0.8451, 0.6936, 0.7677, 1.1549, 1.2323, 1.0774, 0.7677], q:[0.7694, 0.2306], qb:[0.6145, 0.5404], phi:[0.4613]] | t^2.081 + t^2.303 + t^2.313 + t^2.535 + t^3. + 2*t^3.232 + t^3.465 + t^3.929 + t^4.152 + t^4.161 + t^4.384 + t^4.394 + t^4.606 + 2*t^4.616 + 2*t^4.626 + t^4.839 + t^4.848 + t^5.071 + t^5.081 + t^5.303 + 3*t^5.313 + 3*t^5.535 + 3*t^5.545 + 2*t^5.768 - 2*t^6. - t^4.384/y - t^4.384*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2344 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{5}M_{7}$ | 0.5917 | 0.7509 | 0.788 | [M:[1.0, 1.0756, 0.8489, 0.6889, 0.7733, 1.1511, 1.2267], q:[0.7689, 0.2311], qb:[0.6178, 0.5334], phi:[0.4622]] | t^2.067 + t^2.293 + t^2.547 + t^2.773 + t^3. + t^3.227 + t^3.453 + t^3.68 + t^3.907 + t^4.133 + t^4.16 + t^4.36 + 2*t^4.587 + t^4.613 + 2*t^4.84 + 2*t^5.067 + t^5.093 + 2*t^5.293 + t^5.32 + 2*t^5.52 + 2*t^5.547 + t^5.747 + t^5.773 + 2*t^5.974 - t^6. - t^4.387/y - t^4.387*y | detail |