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 |
|---|---|---|---|---|---|---|---|---|---|
| 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]] | [M:[[0], [4], [-8], [10], [-12], [8], [12]], q:[[1], [-1]], qb:[[-7], [15]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}$, ${ }M_{2}$, ${ }M_{6}$, ${ }M_{7}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{4}M_{6}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}M_{7}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{7}q_{2}\tilde{q}_{2}$ | ${}$ | -1 | 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. + 2*t^6.2 + 2*t^6.227 - t^6.253 + t^6.427 + 3*t^6.453 - t^6.48 + 2*t^6.654 + 2*t^6.68 + 2*t^6.88 + 3*t^6.907 - t^6.933 + 4*t^7.133 + 5*t^7.36 + 4*t^7.587 + t^7.613 + 3*t^7.814 + 2*t^7.84 + 3*t^8.04 + t^8.093 + 4*t^8.267 + t^8.32 + 3*t^8.494 + 2*t^8.52 - 3*t^8.547 + 2*t^8.72 + 5*t^8.747 - 3*t^8.773 + 2*t^8.947 + 3*t^8.974 - t^4.387/y - t^6.453/y + t^7.36/y + t^7.613/y + (2*t^7.84)/y + (2*t^8.067)/y + (2*t^8.293)/y + (2*t^8.32)/y + t^8.52/y + t^8.547/y + (2*t^8.747)/y + (2*t^8.773)/y + (2*t^8.974)/y - t^4.387*y - t^6.453*y + t^7.36*y + t^7.613*y + 2*t^7.84*y + 2*t^8.067*y + 2*t^8.293*y + 2*t^8.32*y + t^8.52*y + t^8.547*y + 2*t^8.747*y + 2*t^8.773*y + 2*t^8.974*y | g1^10*t^2.067 + g1^14*t^2.293 + t^2.547/g1^8 + t^2.773/g1^4 + t^3. + g1^4*t^3.227 + g1^8*t^3.453 + g1^12*t^3.68 + g1^16*t^3.907 + g1^20*t^4.133 + t^4.16/g1^6 + g1^24*t^4.36 + 2*g1^28*t^4.587 + g1^2*t^4.613 + 2*g1^6*t^4.84 + 2*g1^10*t^5.067 + t^5.093/g1^16 + 2*g1^14*t^5.293 + t^5.32/g1^12 + 2*g1^18*t^5.52 + (2*t^5.547)/g1^8 + g1^22*t^5.747 + t^5.773/g1^4 + 2*g1^26*t^5.974 - t^6. + 2*g1^30*t^6.2 + 2*g1^4*t^6.227 - t^6.253/g1^22 + g1^34*t^6.427 + 3*g1^8*t^6.453 - t^6.48/g1^18 + 2*g1^38*t^6.654 + 2*g1^12*t^6.68 + 2*g1^42*t^6.88 + 3*g1^16*t^6.907 - t^6.933/g1^10 + 4*g1^20*t^7.133 + 5*g1^24*t^7.36 + 4*g1^28*t^7.587 + g1^2*t^7.613 + 3*g1^32*t^7.814 + 2*g1^6*t^7.84 + 3*g1^36*t^8.04 + t^8.093/g1^16 + 4*g1^40*t^8.267 + t^8.32/g1^12 + 3*g1^44*t^8.494 + 2*g1^18*t^8.52 - (3*t^8.547)/g1^8 + 2*g1^48*t^8.72 + 5*g1^22*t^8.747 - (3*t^8.773)/g1^4 + 2*g1^52*t^8.947 + 3*g1^26*t^8.974 - t^4.387/(g1^2*y) - (g1^8*t^6.453)/y + (g1^24*t^7.36)/y + (g1^2*t^7.613)/y + (2*g1^6*t^7.84)/y + (2*g1^10*t^8.067)/y + (2*g1^14*t^8.293)/y + (2*t^8.32)/(g1^12*y) + (g1^18*t^8.52)/y + t^8.547/(g1^8*y) + (2*g1^22*t^8.747)/y + (2*t^8.773)/(g1^4*y) + (2*g1^26*t^8.974)/y - (t^4.387*y)/g1^2 - g1^8*t^6.453*y + g1^24*t^7.36*y + g1^2*t^7.613*y + 2*g1^6*t^7.84*y + 2*g1^10*t^8.067*y + 2*g1^14*t^8.293*y + (2*t^8.32*y)/g1^12 + g1^18*t^8.52*y + (t^8.547*y)/g1^8 + 2*g1^22*t^8.747*y + (2*t^8.773*y)/g1^4 + 2*g1^26*t^8.974*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 |
|---|---|---|---|---|---|---|---|---|
| 4336 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{5}M_{7}$ + ${ }M_{6}M_{8}$ | 0.6053 | 0.7727 | 0.7834 | [M:[1.0, 1.0804, 0.8392, 0.701, 0.7588, 1.1608, 1.2412, 0.8392], q:[0.7701, 0.2299], qb:[0.6093, 0.5515], phi:[0.4598]] | t^2.103 + t^2.344 + 2*t^2.518 + t^2.759 + t^3. + t^3.241 + t^3.724 + t^3.965 + t^4.138 + t^4.206 + t^4.447 + 2*t^4.621 + 2*t^4.689 + 3*t^4.862 + 3*t^5.035 + 2*t^5.103 + 2*t^5.276 + 2*t^5.344 + 3*t^5.518 + t^5.586 + 2*t^5.759 - 2*t^6. - t^4.379/y - t^4.379*y | detail | |
| 4335 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{5}M_{7}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$ | 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]] | 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. - t^4.391/y - t^4.391*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1298 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ | 0.61 | 0.7825 | 0.7796 | [M:[1.0, 1.0801, 0.8398, 0.7003, 0.7597, 1.1602], q:[0.77, 0.23], qb:[0.6098, 0.5504], phi:[0.4599]] | t^2.101 + t^2.279 + t^2.341 + t^2.519 + t^2.76 + t^3. + t^3.24 + t^3.481 + t^3.961 + t^4.14 + t^4.202 + t^4.38 + t^4.442 + t^4.558 + 2*t^4.62 + 2*t^4.682 + t^4.798 + 2*t^4.86 + 2*t^5.039 + 2*t^5.101 + 2*t^5.279 + 2*t^5.341 + 3*t^5.519 + 2*t^5.581 + 2*t^5.76 - t^6. - t^4.38/y - t^4.38*y | detail |