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 |
|---|---|---|---|---|---|---|---|---|---|
| 2620 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}M_{7}$ | 0.6839 | 0.8642 | 0.7913 | [M:[1.0701, 0.8153, 1.0573, 0.828, 1.172, 0.7006, 0.828], q:[0.5223, 0.4076], qb:[0.4204, 0.7643], phi:[0.4713]] | [M:[[-30], [22], [4], [-12], [12], [14], [-12]], q:[[19], [11]], qb:[[-23], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }M_{2}$, ${ }M_{4}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{7}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{7}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{7}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$ | ${}$ | -2 | t^2.102 + t^2.446 + 2*t^2.484 + t^2.828 + t^3.172 + t^3.21 + 2*t^3.86 + t^3.936 + 2*t^4.204 + t^4.242 + 2*t^4.548 + 2*t^4.586 + t^4.892 + 3*t^4.93 + 3*t^4.968 + 2*t^5.274 + 3*t^5.312 + t^5.618 + 3*t^5.656 + t^5.694 + t^5.962 - 2*t^6. + t^6.038 + 3*t^6.306 + 3*t^6.344 + t^6.382 + 3*t^6.42 + 3*t^6.65 + 5*t^6.688 + t^6.764 + 2*t^6.994 + 5*t^7.032 + 3*t^7.07 - t^7.108 + t^7.147 + t^7.337 + 4*t^7.376 + 4*t^7.414 + 3*t^7.452 + 3*t^7.72 + 3*t^7.758 + 4*t^7.796 + t^7.873 + 3*t^8.064 + 4*t^8.14 + 2*t^8.178 + 4*t^8.408 - 2*t^8.446 - 2*t^8.484 + 2*t^8.522 + 5*t^8.751 + 5*t^8.79 + 3*t^8.866 + 4*t^8.905 - t^4.414/y - t^6.516/y - t^6.86/y - t^6.898/y + t^7.204/y + t^7.548/y + (2*t^7.586)/y - t^7.624/y + (4*t^7.93)/y + (2*t^7.968)/y + (2*t^8.274)/y + (4*t^8.312)/y + (3*t^8.656)/y + (2*t^8.694)/y + t^8.962/y - t^4.414*y - t^6.516*y - t^6.86*y - t^6.898*y + t^7.204*y + t^7.548*y + 2*t^7.586*y - t^7.624*y + 4*t^7.93*y + 2*t^7.968*y + 2*t^8.274*y + 4*t^8.312*y + 3*t^8.656*y + 2*t^8.694*y + t^8.962*y | g1^14*t^2.102 + g1^22*t^2.446 + (2*t^2.484)/g1^12 + t^2.828/g1^4 + g1^4*t^3.172 + t^3.21/g1^30 + 2*g1^20*t^3.86 + t^3.936/g1^48 + 2*g1^28*t^4.204 + t^4.242/g1^6 + 2*g1^36*t^4.548 + 2*g1^2*t^4.586 + g1^44*t^4.892 + 3*g1^10*t^4.93 + (3*t^4.968)/g1^24 + 2*g1^18*t^5.274 + (3*t^5.312)/g1^16 + g1^26*t^5.618 + (3*t^5.656)/g1^8 + t^5.694/g1^42 + g1^34*t^5.962 - 2*t^6. + t^6.038/g1^34 + 3*g1^42*t^6.306 + 3*g1^8*t^6.344 + t^6.382/g1^26 + (3*t^6.42)/g1^60 + 3*g1^50*t^6.65 + 5*g1^16*t^6.688 + t^6.764/g1^52 + 2*g1^58*t^6.994 + 5*g1^24*t^7.032 + (3*t^7.07)/g1^10 - t^7.108/g1^44 + t^7.147/g1^78 + g1^66*t^7.337 + 4*g1^32*t^7.376 + (4*t^7.414)/g1^2 + (3*t^7.452)/g1^36 + 3*g1^40*t^7.72 + 3*g1^6*t^7.758 + (4*t^7.796)/g1^28 + t^7.873/g1^96 + 3*g1^48*t^8.064 + (4*t^8.14)/g1^20 + (2*t^8.178)/g1^54 + 4*g1^56*t^8.408 - 2*g1^22*t^8.446 - (2*t^8.484)/g1^12 + (2*t^8.522)/g1^46 + 5*g1^64*t^8.751 + 5*g1^30*t^8.79 + (3*t^8.866)/g1^38 + (4*t^8.905)/g1^72 - t^4.414/(g1^2*y) - (g1^12*t^6.516)/y - (g1^20*t^6.86)/y - t^6.898/(g1^14*y) + (g1^28*t^7.204)/y + (g1^36*t^7.548)/y + (2*g1^2*t^7.586)/y - t^7.624/(g1^32*y) + (4*g1^10*t^7.93)/y + (2*t^7.968)/(g1^24*y) + (2*g1^18*t^8.274)/y + (4*t^8.312)/(g1^16*y) + (3*t^8.656)/(g1^8*y) + (2*t^8.694)/(g1^42*y) + (g1^34*t^8.962)/y - (t^4.414*y)/g1^2 - g1^12*t^6.516*y - g1^20*t^6.86*y - (t^6.898*y)/g1^14 + g1^28*t^7.204*y + g1^36*t^7.548*y + 2*g1^2*t^7.586*y - (t^7.624*y)/g1^32 + 4*g1^10*t^7.93*y + (2*t^7.968*y)/g1^24 + 2*g1^18*t^8.274*y + (4*t^8.312*y)/g1^16 + (3*t^8.656*y)/g1^8 + (2*t^8.694*y)/g1^42 + g1^34*t^8.962*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 |
|---|---|---|---|---|---|---|---|---|
| 4737 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}M_{7}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$ | 0.7046 | 0.905 | 0.7785 | [M:[1.0751, 0.8116, 1.0566, 0.8301, 1.1699, 0.6983, 0.8301, 0.6798], q:[0.5191, 0.4058], qb:[0.4243, 0.7642], phi:[0.4717]] | t^2.039 + t^2.095 + t^2.435 + 2*t^2.49 + t^2.83 + t^3.17 + t^3.225 + 2*t^3.85 + t^4.079 + t^4.134 + 2*t^4.19 + t^4.245 + t^4.474 + 4*t^4.529 + 2*t^4.585 + 2*t^4.869 + 3*t^4.925 + 3*t^4.98 + t^5.209 + 3*t^5.265 + 3*t^5.32 + t^5.605 + 3*t^5.66 + t^5.716 + 2*t^5.889 + t^5.944 - 2*t^6. - t^4.415/y - t^4.415*y | detail | |
| 4734 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}M_{7}$ + ${ }M_{8}\phi_{1}^{2}$ | 0.6786 | 0.8555 | 0.7932 | [M:[1.0754, 0.8114, 1.0566, 0.8302, 1.1698, 0.6981, 0.8302, 1.0566], q:[0.5189, 0.4057], qb:[0.4245, 0.7642], phi:[0.4717]] | t^2.094 + t^2.434 + 2*t^2.49 + 2*t^3.17 + t^3.226 + 2*t^3.849 + t^3.962 + 2*t^4.189 + t^4.245 + 2*t^4.529 + 2*t^4.585 + t^4.868 + 2*t^4.925 + 3*t^4.981 + 2*t^5.264 + t^5.321 + 2*t^5.604 + 4*t^5.66 + t^5.717 + t^5.944 - 3*t^6. - t^4.415/y - t^4.415*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1526 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6693 | 0.8394 | 0.7974 | [M:[1.0824, 0.8062, 1.0557, 0.833, 1.167, 0.6949], q:[0.5145, 0.4031], qb:[0.4299, 0.7639], phi:[0.4722]] | t^2.085 + t^2.419 + t^2.499 + t^2.833 + t^3.167 + t^3.247 + t^3.501 + 2*t^3.835 + t^3.996 + 2*t^4.169 + t^4.249 + 2*t^4.503 + t^4.584 + t^4.837 + 2*t^4.918 + t^4.998 + 2*t^5.252 + 2*t^5.332 + 2*t^5.586 + 2*t^5.666 + 2*t^5.92 - t^6. - t^4.416/y - t^4.416*y | detail |