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 |
|---|---|---|---|---|---|---|---|---|---|
| 55960 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{6}$ | 0.6594 | 0.8224 | 0.8018 | [M:[1.0608, 0.6962, 0.8177, 1.1823, 1.0443, 0.9392], q:[0.5386, 0.4006], qb:[0.7652, 0.4171], phi:[0.4696]] | [M:[[4], [-20], [-12], [12], [-30], [-4]], q:[[19], [-23]], qb:[[1], [11]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }M_{3}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{4}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{5}$, ${ }M_{3}M_{6}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{4}$, ${ }M_{6}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{2}\phi_{1}q_{2}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ | ${}M_{2}\phi_{1}\tilde{q}_{2}^{2}$ | -1 | t^2.089 + t^2.453 + 2*t^2.818 + t^3.133 + t^3.497 + t^3.547 + t^3.813 + t^3.862 + t^3.911 + t^4.177 + t^4.227 + t^4.276 + t^4.542 + t^4.641 + 3*t^4.906 + t^5.221 + 2*t^5.271 + t^5.586 + 3*t^5.635 + t^5.901 + 3*t^5.951 - t^6. - t^6.049 + 3*t^6.266 + 3*t^6.315 + t^6.365 - t^6.414 + 4*t^6.63 + 2*t^6.68 + 2*t^6.729 + t^6.945 + 3*t^6.995 + t^7.044 + t^7.094 + 2*t^7.31 + 4*t^7.359 - t^7.409 + t^7.458 + t^7.625 + 2*t^7.675 + 6*t^7.724 + t^7.773 - t^7.823 + t^7.99 + 4*t^8.039 + t^8.089 - t^8.138 + t^8.187 + 3*t^8.354 + 3*t^8.404 + 2*t^8.453 - 2*t^8.503 + t^8.552 + 5*t^8.719 + 5*t^8.768 - 4*t^8.818 - 2*t^8.867 + t^8.917 - t^4.409/y - t^6.497/y - t^7.227/y + t^7.276/y + t^7.591/y + (2*t^7.906)/y + t^8.221/y + (2*t^8.271)/y + t^8.32/y + t^8.586/y + (2*t^8.635)/y + t^8.901/y + (4*t^8.951)/y - t^4.409*y - t^6.497*y - t^7.227*y + t^7.276*y + t^7.591*y + 2*t^7.906*y + t^8.221*y + 2*t^8.271*y + t^8.32*y + t^8.586*y + 2*t^8.635*y + t^8.901*y + 4*t^8.951*y | t^2.089/g1^20 + t^2.453/g1^12 + (2*t^2.818)/g1^4 + t^3.133/g1^30 + t^3.497/g1^22 + g1^12*t^3.547 + t^3.813/g1^48 + t^3.862/g1^14 + g1^20*t^3.911 + t^4.177/g1^40 + t^4.227/g1^6 + g1^28*t^4.276 + t^4.542/g1^32 + g1^36*t^4.641 + (3*t^4.906)/g1^24 + t^5.221/g1^50 + (2*t^5.271)/g1^16 + t^5.586/g1^42 + (3*t^5.635)/g1^8 + t^5.901/g1^68 + (3*t^5.951)/g1^34 - t^6. - g1^34*t^6.049 + (3*t^6.266)/g1^60 + (3*t^6.315)/g1^26 + g1^8*t^6.365 - g1^42*t^6.414 + (4*t^6.63)/g1^52 + (2*t^6.68)/g1^18 + 2*g1^16*t^6.729 + t^6.945/g1^78 + (3*t^6.995)/g1^44 + t^7.044/g1^10 + g1^24*t^7.094 + (2*t^7.31)/g1^70 + (4*t^7.359)/g1^36 - t^7.409/g1^2 + g1^32*t^7.458 + t^7.625/g1^96 + (2*t^7.675)/g1^62 + (6*t^7.724)/g1^28 + g1^6*t^7.773 - g1^40*t^7.823 + t^7.99/g1^88 + (4*t^8.039)/g1^54 + t^8.089/g1^20 - g1^14*t^8.138 + g1^48*t^8.187 + (3*t^8.354)/g1^80 + (3*t^8.404)/g1^46 + (2*t^8.453)/g1^12 - 2*g1^22*t^8.503 + g1^56*t^8.552 + (5*t^8.719)/g1^72 + (5*t^8.768)/g1^38 - (4*t^8.818)/g1^4 - 2*g1^30*t^8.867 + g1^64*t^8.917 - t^4.409/(g1^2*y) - t^6.497/(g1^22*y) - t^7.227/(g1^6*y) + (g1^28*t^7.276)/y + (g1^2*t^7.591)/y + (2*t^7.906)/(g1^24*y) + t^8.221/(g1^50*y) + (2*t^8.271)/(g1^16*y) + (g1^18*t^8.32)/y + t^8.586/(g1^42*y) + (2*t^8.635)/(g1^8*y) + t^8.901/(g1^68*y) + (4*t^8.951)/(g1^34*y) - (t^4.409*y)/g1^2 - (t^6.497*y)/g1^22 - (t^7.227*y)/g1^6 + g1^28*t^7.276*y + g1^2*t^7.591*y + (2*t^7.906*y)/g1^24 + (t^8.221*y)/g1^50 + (2*t^8.271*y)/g1^16 + g1^18*t^8.32*y + (t^8.586*y)/g1^42 + (2*t^8.635*y)/g1^8 + (t^8.901*y)/g1^68 + (4*t^8.951*y)/g1^34 |
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 |
|---|---|---|---|---|---|---|---|---|
| 57705 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6797 | 0.8604 | 0.79 | [M:[1.0601, 0.6994, 0.8196, 1.1804, 1.0491, 0.9399, 0.7104], q:[0.5356, 0.4043], qb:[0.765, 0.4153], phi:[0.4699]] | t^2.098 + t^2.131 + t^2.459 + 2*t^2.82 + t^3.147 + t^3.508 + t^3.541 + t^3.836 + t^3.902 + t^4.196 + 2*t^4.229 + 2*t^4.263 + t^4.557 + t^4.59 + t^4.623 + 3*t^4.918 + 2*t^4.951 + t^5.245 + 3*t^5.279 + t^5.606 + 4*t^5.639 + t^5.672 + t^5.934 + 3*t^5.967 - t^6. - t^4.41/y - t^4.41*y | detail | |
| 57704 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ | 0.6796 | 0.8597 | 0.7905 | [M:[1.0588, 0.706, 0.8236, 1.1764, 1.0591, 0.9412, 0.7055], q:[0.5293, 0.412], qb:[0.7647, 0.4117], phi:[0.4706]] | t^2.116 + t^2.118 + t^2.471 + 2*t^2.824 + t^3.177 + t^3.529 + t^3.53 + t^3.882 + t^3.883 + t^4.233 + 3*t^4.235 + t^4.236 + 2*t^4.587 + t^4.589 + 2*t^4.94 + 3*t^4.942 + t^5.294 + 3*t^5.295 + 2*t^5.646 + 3*t^5.647 + t^5.648 + t^5.998 - t^6. - t^4.412/y - t^4.412*y | detail | |
| 57706 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{7}\phi_{1}\tilde{q}_{2}^{2}$ | 0.68 | 0.8625 | 0.7884 | [M:[1.0613, 0.6933, 0.816, 1.184, 1.04, 0.9387, 0.6933], q:[0.5413, 0.3973], qb:[0.7653, 0.4187], phi:[0.4693]] | 2*t^2.08 + t^2.448 + 2*t^2.816 + t^3.12 + t^3.488 + t^3.552 + t^3.792 + t^3.856 + 3*t^4.16 + t^4.224 + t^4.288 + 2*t^4.528 + t^4.656 + 5*t^4.896 + 2*t^5.2 + 2*t^5.264 + 2*t^5.568 + 4*t^5.632 + 2*t^5.872 + 4*t^5.936 - 2*t^6. - t^4.408/y - t^4.408*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 |
|---|---|---|---|---|---|---|---|---|---|
| 48226 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ | 0.6538 | 0.8126 | 0.8046 | [M:[1.06, 0.6998, 0.8199, 1.1801, 1.0497], q:[0.5352, 0.4048], qb:[0.765, 0.4151], phi:[0.47]] | t^2.099 + t^2.46 + t^2.82 + t^3.149 + t^3.18 + t^3.509 + t^3.54 + t^3.838 + t^3.87 + t^3.901 + t^4.199 + t^4.23 + t^4.261 + t^4.559 + t^4.621 + 2*t^4.919 + t^5.248 + 2*t^5.279 + t^5.609 + 2*t^5.64 + t^5.938 + 2*t^5.969 - t^4.41/y - t^4.41*y | detail |