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 |
|---|---|---|---|---|---|---|---|---|---|
| 57704 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ | 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]] | [M:[[4], [-20], [-12], [12], [-30], [-4], [48]], q:[[19], [-23]], qb:[[1], [11]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{7}$, ${ }M_{2}$, ${ }M_{3}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{3}M_{7}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{6}M_{7}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}M_{5}$, ${ }M_{3}M_{6}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{7}q_{2}\tilde{q}_{1}$, ${ }M_{4}M_{7}$, ${ }M_{2}M_{4}$, ${ }M_{6}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{3}M_{5}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{7}\phi_{1}\tilde{q}_{2}^{2}$ | ${}M_{2}\phi_{1}\tilde{q}_{2}^{2}$ | -1 | 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. + 3*t^6.001 + t^6.349 + 2*t^6.351 + 2*t^6.353 + 5*t^6.354 + 2*t^6.704 + 3*t^6.705 + 2*t^6.706 + 2*t^6.707 + 2*t^7.057 + 4*t^7.058 + t^7.059 + 3*t^7.06 + t^7.41 + 3*t^7.411 + 3*t^7.413 + t^7.414 + t^7.762 + t^7.763 + 2*t^7.764 + 7*t^7.765 + t^7.766 + t^8.115 + 2*t^8.117 + 3*t^8.119 + t^8.466 + 2*t^8.468 + 3*t^8.469 + t^8.47 + 3*t^8.471 + 3*t^8.472 + 2*t^8.473 + 2*t^8.82 + 4*t^8.822 + 3*t^8.824 + 2*t^8.825 - t^4.412/y - t^6.528/y - t^6.53/y + t^7.235/y + t^7.587/y + t^7.588/y + (2*t^7.94)/y + (2*t^7.942)/y + (2*t^8.294)/y + (4*t^8.295)/y - t^8.645/y + t^8.646/y + (2*t^8.647)/y + t^8.648/y + t^8.998/y + t^8.999/y - t^4.412*y - t^6.528*y - t^6.53*y + t^7.235*y + t^7.587*y + t^7.588*y + 2*t^7.94*y + 2*t^7.942*y + 2*t^8.294*y + 4*t^8.295*y - t^8.645*y + t^8.646*y + 2*t^8.647*y + t^8.648*y + t^8.998*y + t^8.999*y | g1^48*t^2.116 + t^2.118/g1^20 + t^2.471/g1^12 + (2*t^2.824)/g1^4 + t^3.177/g1^30 + g1^12*t^3.529 + t^3.53/g1^22 + g1^20*t^3.882 + t^3.883/g1^14 + g1^96*t^4.233 + t^4.235/g1^6 + 2*g1^28*t^4.235 + t^4.236/g1^40 + 2*g1^36*t^4.587 + t^4.589/g1^32 + 2*g1^44*t^4.94 + (3*t^4.942)/g1^24 + g1^18*t^5.294 + t^5.295/g1^50 + (2*t^5.295)/g1^16 + g1^26*t^5.646 + g1^60*t^5.646 + (3*t^5.647)/g1^8 + t^5.648/g1^42 + g1^68*t^5.998 - t^6. + (3*t^6.001)/g1^34 + g1^144*t^6.349 + 2*g1^76*t^6.351 + 2*g1^8*t^6.353 + (2*t^6.354)/g1^60 + (3*t^6.354)/g1^26 + 2*g1^84*t^6.704 + 3*g1^16*t^6.705 + (2*t^6.706)/g1^18 + (2*t^6.707)/g1^52 + 2*g1^92*t^7.057 + 4*g1^24*t^7.058 + t^7.059/g1^10 + (3*t^7.06)/g1^44 + g1^66*t^7.41 + 3*g1^32*t^7.411 + (3*t^7.413)/g1^36 + t^7.414/g1^70 + g1^108*t^7.762 + g1^74*t^7.763 + 2*g1^40*t^7.764 + (5*t^7.765)/g1^28 + 2*g1^6*t^7.765 + t^7.766/g1^62 + g1^116*t^8.115 + 2*g1^14*t^8.117 + (3*t^8.119)/g1^54 + g1^192*t^8.466 + 2*g1^124*t^8.468 + 3*g1^56*t^8.469 + g1^22*t^8.47 + (3*t^8.471)/g1^12 + (3*t^8.472)/g1^46 + (2*t^8.473)/g1^80 + 2*g1^132*t^8.82 + 4*g1^64*t^8.822 + (5*t^8.824)/g1^38 - (2*t^8.824)/g1^4 + (2*t^8.825)/g1^72 - t^4.412/(g1^2*y) - (g1^46*t^6.528)/y - t^6.53/(g1^22*y) - t^7.235/(g1^6*y) + (2*g1^28*t^7.235)/y + (g1^36*t^7.587)/y + (g1^2*t^7.588)/y + (2*g1^44*t^7.94)/y + (2*t^7.942)/(g1^24*y) + (2*g1^18*t^8.294)/y + (2*t^8.295)/(g1^50*y) + (2*t^8.295)/(g1^16*y) - (g1^94*t^8.645)/y + (g1^60*t^8.646)/y + (2*t^8.647)/(g1^8*y) + t^8.648/(g1^42*y) + (g1^68*t^8.998)/y + (g1^34*t^8.999)/y - (t^4.412*y)/g1^2 - g1^46*t^6.528*y - (t^6.53*y)/g1^22 - (t^7.235*y)/g1^6 + 2*g1^28*t^7.235*y + g1^36*t^7.587*y + g1^2*t^7.588*y + 2*g1^44*t^7.94*y + (2*t^7.942*y)/g1^24 + 2*g1^18*t^8.294*y + (2*t^8.295*y)/g1^50 + (2*t^8.295*y)/g1^16 - g1^94*t^8.645*y + g1^60*t^8.646*y + (2*t^8.647*y)/g1^8 + (t^8.648*y)/g1^42 + g1^68*t^8.998*y + g1^34*t^8.999*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 |
|---|---|---|---|---|---|---|---|---|
| 58960 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.7 | 0.8987 | 0.7789 | [M:[1.0584, 0.7078, 0.8247, 1.1753, 1.0618, 0.9416, 0.7012, 0.7045], q:[0.5276, 0.414], qb:[0.7646, 0.4107], phi:[0.4708]] | t^2.104 + t^2.114 + t^2.124 + t^2.474 + 2*t^2.825 + t^3.185 + t^3.526 + t^3.536 + t^3.876 + t^4.207 + t^4.217 + 3*t^4.227 + 2*t^4.237 + t^4.247 + 2*t^4.578 + t^4.588 + t^4.598 + 2*t^4.928 + 2*t^4.938 + 3*t^4.948 + t^5.289 + 3*t^5.299 + t^5.309 + t^5.629 + 2*t^5.639 + 4*t^5.649 + t^5.659 + t^5.98 - t^6. - t^4.412/y - t^4.412*y | detail | |
| 58949 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{8}q_{2}\tilde{q}_{1}$ | 0.6949 | 0.887 | 0.7835 | [M:[1.057, 0.715, 0.829, 1.171, 1.0725, 0.943, 0.6839, 0.8135], q:[0.5207, 0.4223], qb:[0.7642, 0.4067], phi:[0.4715]] | t^2.052 + t^2.145 + t^2.44 + t^2.487 + 2*t^2.829 + t^3.218 + t^3.513 + t^3.855 + t^3.902 + t^4.104 + 2*t^4.197 + t^4.244 + t^4.29 + t^4.492 + 2*t^4.539 + t^4.585 + t^4.632 + 3*t^4.881 + t^4.927 + 3*t^4.974 + 3*t^5.269 + 2*t^5.316 + t^5.363 + t^5.565 + 4*t^5.658 + t^5.907 + t^5.953 - 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 |
|---|---|---|---|---|---|---|---|---|---|
| 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]] | 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^4.409/y - t^4.409*y | detail |