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 |
|---|---|---|---|---|---|---|---|---|---|
| 3177 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ | 0.6897 | 0.8784 | 0.7852 | [M:[1.0758, 0.8111, 1.0566, 0.8303, 1.1697, 0.6787, 0.7172], q:[0.5186, 0.4055], qb:[0.4248, 0.7641], phi:[0.4717]] | [M:[[-30], [22], [4], [-12], [12], [48], [-20]], q:[[19], [11]], qb:[[-23], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }M_{7}$, ${ }M_{2}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{5}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{6}^{2}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{7}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{2}M_{7}$, ${ }M_{4}M_{7}$, ${ }M_{2}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{6}$, ${ }M_{1}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}M_{7}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{5}M_{6}$, ${ }M_{2}M_{3}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{5}M_{7}$, ${ }\phi_{1}^{4}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ | ${}M_{7}\phi_{1}q_{2}^{2}$ | 0 | t^2.036 + t^2.152 + t^2.433 + t^2.491 + t^2.83 + t^3.17 + t^3.227 + t^3.509 + t^3.848 + t^3.906 + t^4.072 + 2*t^4.188 + t^4.245 + t^4.303 + t^4.469 + 2*t^4.527 + t^4.585 + t^4.643 + 2*t^4.866 + t^4.924 + 2*t^4.982 + t^5.206 + 2*t^5.264 + 2*t^5.321 + t^5.379 + t^5.545 + t^5.603 + 3*t^5.661 + t^5.884 + t^5.942 + t^6.058 + t^6.108 + 2*t^6.224 + t^6.282 + 3*t^6.339 + 2*t^6.397 + 2*t^6.455 + t^6.505 + 2*t^6.563 + 2*t^6.621 + 4*t^6.679 + 2*t^6.736 + t^6.794 + 2*t^6.902 + 2*t^6.96 + 4*t^7.018 + t^7.076 + t^7.134 + t^7.242 + 3*t^7.3 + 4*t^7.357 + 2*t^7.415 + 2*t^7.473 + t^7.531 + t^7.581 + t^7.639 + 4*t^7.697 + 2*t^7.755 + 3*t^7.812 + t^7.921 + t^7.978 + 2*t^8.036 + 2*t^8.094 + t^8.144 + t^8.209 + 2*t^8.26 + t^8.318 + 4*t^8.375 + 3*t^8.491 + t^8.541 + t^8.549 + 2*t^8.599 + 2*t^8.607 + 2*t^8.657 + 5*t^8.715 + 3*t^8.773 + 2*t^8.83 + 3*t^8.888 + 2*t^8.939 + t^8.946 + 2*t^8.996 - t^4.415/y - t^6.451/y - t^6.567/y - t^6.848/y + (2*t^7.188)/y + t^7.469/y + t^7.527/y + t^7.585/y + t^7.866/y + t^7.924/y + (2*t^7.982)/y + t^8.206/y + (3*t^8.264)/y + (2*t^8.321)/y + (2*t^8.379)/y - t^8.487/y + t^8.545/y + (3*t^8.661)/y + (2*t^8.942)/y - t^4.415*y - t^6.451*y - t^6.567*y - t^6.848*y + 2*t^7.188*y + t^7.469*y + t^7.527*y + t^7.585*y + t^7.866*y + t^7.924*y + 2*t^7.982*y + t^8.206*y + 3*t^8.264*y + 2*t^8.321*y + 2*t^8.379*y - t^8.487*y + t^8.545*y + 3*t^8.661*y + 2*t^8.942*y | g1^48*t^2.036 + t^2.152/g1^20 + g1^22*t^2.433 + t^2.491/g1^12 + t^2.83/g1^4 + g1^4*t^3.17 + t^3.227/g1^30 + g1^12*t^3.509 + g1^20*t^3.848 + t^3.906/g1^14 + g1^96*t^4.072 + 2*g1^28*t^4.188 + t^4.245/g1^6 + t^4.303/g1^40 + g1^70*t^4.469 + 2*g1^36*t^4.527 + g1^2*t^4.585 + t^4.643/g1^32 + 2*g1^44*t^4.866 + g1^10*t^4.924 + (2*t^4.982)/g1^24 + g1^52*t^5.206 + 2*g1^18*t^5.264 + (2*t^5.321)/g1^16 + t^5.379/g1^50 + g1^60*t^5.545 + g1^26*t^5.603 + (3*t^5.661)/g1^8 + g1^68*t^5.884 + g1^34*t^5.942 + t^6.058/g1^34 + g1^144*t^6.108 + 2*g1^76*t^6.224 + g1^42*t^6.282 + 3*g1^8*t^6.339 + (2*t^6.397)/g1^26 + (2*t^6.455)/g1^60 + g1^118*t^6.505 + 2*g1^84*t^6.563 + 2*g1^50*t^6.621 + 4*g1^16*t^6.679 + (2*t^6.736)/g1^18 + t^6.794/g1^52 + 2*g1^92*t^6.902 + 2*g1^58*t^6.96 + 4*g1^24*t^7.018 + t^7.076/g1^10 + t^7.134/g1^44 + g1^100*t^7.242 + 3*g1^66*t^7.3 + 4*g1^32*t^7.357 + (2*t^7.415)/g1^2 + (2*t^7.473)/g1^36 + t^7.531/g1^70 + g1^108*t^7.581 + g1^74*t^7.639 + 4*g1^40*t^7.697 + 2*g1^6*t^7.755 + (3*t^7.812)/g1^28 + g1^116*t^7.921 + g1^82*t^7.978 + 2*g1^48*t^8.036 + 2*g1^14*t^8.094 + g1^192*t^8.144 + t^8.209/g1^54 + 2*g1^124*t^8.26 + g1^90*t^8.318 + 4*g1^56*t^8.375 + (3*t^8.491)/g1^12 + g1^166*t^8.541 + t^8.549/g1^46 + 2*g1^132*t^8.599 + (2*t^8.607)/g1^80 + 2*g1^98*t^8.657 + 5*g1^64*t^8.715 + 3*g1^30*t^8.773 + (2*t^8.83)/g1^4 + (3*t^8.888)/g1^38 + 2*g1^140*t^8.939 + t^8.946/g1^72 + 2*g1^106*t^8.996 - t^4.415/(g1^2*y) - (g1^46*t^6.451)/y - t^6.567/(g1^22*y) - (g1^20*t^6.848)/y + (2*g1^28*t^7.188)/y + (g1^70*t^7.469)/y + (g1^36*t^7.527)/y + (g1^2*t^7.585)/y + (g1^44*t^7.866)/y + (g1^10*t^7.924)/y + (2*t^7.982)/(g1^24*y) + (g1^52*t^8.206)/y + (3*g1^18*t^8.264)/y + (2*t^8.321)/(g1^16*y) + (2*t^8.379)/(g1^50*y) - (g1^94*t^8.487)/y + (g1^60*t^8.545)/y + (3*t^8.661)/(g1^8*y) + (2*g1^34*t^8.942)/y - (t^4.415*y)/g1^2 - g1^46*t^6.451*y - (t^6.567*y)/g1^22 - g1^20*t^6.848*y + 2*g1^28*t^7.188*y + g1^70*t^7.469*y + g1^36*t^7.527*y + g1^2*t^7.585*y + g1^44*t^7.866*y + g1^10*t^7.924*y + (2*t^7.982*y)/g1^24 + g1^52*t^8.206*y + 3*g1^18*t^8.264*y + (2*t^8.321*y)/g1^16 + (2*t^8.379*y)/g1^50 - g1^94*t^8.487*y + g1^60*t^8.545*y + (3*t^8.661*y)/g1^8 + 2*g1^34*t^8.942*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 |
|---|---|---|---|---|---|---|---|---|
| 5058 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.7102 | 0.918 | 0.7737 | [M:[1.0779, 0.8096, 1.0563, 0.8311, 1.1689, 0.6754, 0.7186, 0.697], q:[0.5174, 0.4048], qb:[0.4264, 0.7641], phi:[0.4719]] | t^2.026 + t^2.091 + t^2.156 + t^2.429 + t^2.493 + t^2.831 + t^3.169 + t^3.234 + t^3.507 + t^3.844 + t^4.053 + t^4.117 + 3*t^4.182 + 2*t^4.247 + t^4.311 + t^4.455 + 3*t^4.52 + 2*t^4.584 + t^4.649 + 2*t^4.857 + 2*t^4.922 + 2*t^4.987 + t^5.195 + 3*t^5.26 + 3*t^5.325 + t^5.389 + t^5.533 + 2*t^5.598 + 3*t^5.662 + t^5.871 + t^5.935 - t^4.416/y - t^4.416*y | detail | |
| 5057 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$ | 0.7099 | 0.9161 | 0.7749 | [M:[1.0713, 0.8143, 1.0572, 0.8285, 1.1715, 0.6858, 0.7142, 0.7142], q:[0.5215, 0.4072], qb:[0.4214, 0.7643], phi:[0.4714]] | t^2.058 + 2*t^2.143 + t^2.443 + t^2.486 + t^2.829 + t^3.171 + t^3.214 + t^3.514 + t^3.9 + t^4.115 + 3*t^4.2 + t^4.243 + 3*t^4.285 + t^4.501 + 2*t^4.543 + 2*t^4.586 + 2*t^4.628 + 2*t^4.886 + t^4.929 + 3*t^4.971 + t^5.229 + 2*t^5.272 + 3*t^5.314 + 2*t^5.357 + t^5.572 + t^5.614 + 4*t^5.657 + t^5.957 - t^6. - t^4.414/y - t^4.414*y | detail | |
| 5055 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{8}\phi_{1}^{2}$ | 0.6844 | 0.8699 | 0.7868 | [M:[1.0791, 0.8087, 1.0561, 0.8316, 1.1684, 0.6735, 0.7194, 1.0561], q:[0.5166, 0.4043], qb:[0.4273, 0.764], phi:[0.4719]] | t^2.02 + t^2.158 + t^2.426 + t^2.495 + 2*t^3.168 + t^3.237 + t^3.505 + t^3.842 + t^3.911 + t^4.041 + 2*t^4.179 + t^4.247 + t^4.316 + t^4.446 + 2*t^4.515 + t^4.584 + t^4.653 + t^4.852 + t^4.921 + t^4.99 + 2*t^5.189 + t^5.258 + 2*t^5.327 + t^5.395 + t^5.526 + 2*t^5.594 + 3*t^5.663 + t^5.862 + t^5.931 - t^6. - t^4.416/y - t^4.416*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2101 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6696 | 0.8411 | 0.796 | [M:[1.0808, 0.8074, 1.0559, 0.8323, 1.1677, 0.6707], q:[0.5155, 0.4037], qb:[0.4286, 0.764], phi:[0.4721]] | t^2.012 + t^2.422 + t^2.497 + t^2.832 + t^3.168 + t^3.242 + t^3.503 + 2*t^3.838 + t^3.913 + t^4.024 + t^4.174 + t^4.248 + t^4.434 + 2*t^4.509 + 2*t^4.845 + t^4.919 + t^4.994 + t^5.18 + 2*t^5.255 + t^5.329 + t^5.515 + t^5.59 + 2*t^5.665 + 2*t^5.851 + t^5.925 - t^6. - t^4.416/y - t^4.416*y | detail |