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 |
|---|---|---|---|---|---|---|---|---|---|
| 4827 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{2}M_{7}$ + ${ }M_{3}M_{8}$ | 0.6636 | 0.8203 | 0.8089 | [M:[1.0171, 0.7759, 0.9568, 0.8362, 1.1638, 0.7156, 1.2241, 1.0432], q:[0.595, 0.3879], qb:[0.4482, 0.7759], phi:[0.4482]] | [M:[[-18], [2], [-13], [-3], [3], [7], [-2], [13]], q:[[17], [1]], qb:[[-4], [2]], phi:[[-4]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{8}$, ${ }M_{5}$, ${ }M_{7}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}M_{6}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{6}M_{8}$, ${ }M_{5}M_{6}$, ${ }M_{4}M_{8}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{6}M_{7}$, ${ }M_{8}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}q_{2}^{2}$ | ${}$ | -2 | t^2.147 + t^2.509 + t^2.689 + t^3.051 + t^3.13 + t^3.491 + 2*t^3.672 + t^4.034 + t^4.113 + 2*t^4.293 + t^4.474 + t^4.655 + t^4.836 + t^4.915 + t^5.017 + 2*t^5.198 + t^5.276 + 2*t^5.638 + t^5.741 + 2*t^5.819 - 2*t^6. + t^6.103 + 3*t^6.181 + 2*t^6.259 + t^6.362 + t^6.44 + t^6.543 + t^6.621 + 2*t^6.724 + 3*t^6.802 - t^6.905 + t^6.983 + t^7.061 + t^7.085 + 3*t^7.164 + t^7.242 + 2*t^7.345 + 2*t^7.423 + t^7.526 + 2*t^7.604 + 2*t^7.707 + 2*t^7.785 + t^7.887 + 3*t^7.966 + t^8.044 + t^8.068 - t^8.147 + t^8.249 + 2*t^8.328 + 3*t^8.406 + t^8.43 - t^8.509 + 3*t^8.587 - t^8.689 + t^8.768 + t^8.792 + 2*t^8.87 + 3*t^8.949 - t^4.345/y - t^6.491/y - t^7.034/y + t^7.293/y - t^7.396/y + (2*t^7.655)/y + t^7.836/y + (3*t^8.198)/y + t^8.276/y + t^8.56/y + t^8.638/y + t^8.741/y + (3*t^8.819)/y - t^4.345*y - t^6.491*y - t^7.034*y + t^7.293*y - t^7.396*y + 2*t^7.655*y + t^7.836*y + 3*t^8.198*y + t^8.276*y + t^8.56*y + t^8.638*y + t^8.741*y + 3*t^8.819*y | g1^7*t^2.147 + t^2.509/g1^3 + t^2.689/g1^8 + t^3.051/g1^18 + g1^13*t^3.13 + g1^3*t^3.491 + (2*t^3.672)/g1^2 + t^4.034/g1^12 + g1^19*t^4.113 + 2*g1^14*t^4.293 + g1^9*t^4.474 + g1^4*t^4.655 + t^4.836/g1 + g1^30*t^4.915 + t^5.017/g1^6 + (2*t^5.198)/g1^11 + g1^20*t^5.276 + 2*g1^10*t^5.638 + t^5.741/g1^26 + 2*g1^5*t^5.819 - 2*t^6. + t^6.103/g1^36 + (3*t^6.181)/g1^5 + 2*g1^26*t^6.259 + t^6.362/g1^10 + g1^21*t^6.44 + t^6.543/g1^15 + g1^16*t^6.621 + (2*t^6.724)/g1^20 + 3*g1^11*t^6.802 - t^6.905/g1^25 + g1^6*t^6.983 + g1^37*t^7.061 + t^7.085/g1^30 + 3*g1*t^7.164 + g1^32*t^7.242 + (2*t^7.345)/g1^4 + 2*g1^27*t^7.423 + t^7.526/g1^9 + 2*g1^22*t^7.604 + (2*t^7.707)/g1^14 + 2*g1^17*t^7.785 + t^7.887/g1^19 + 3*g1^12*t^7.966 + g1^43*t^8.044 + t^8.068/g1^24 - g1^7*t^8.147 + t^8.249/g1^29 + 2*g1^2*t^8.328 + 3*g1^33*t^8.406 + t^8.43/g1^34 - t^8.509/g1^3 + 3*g1^28*t^8.587 - t^8.689/g1^8 + g1^23*t^8.768 + t^8.792/g1^44 + (2*t^8.87)/g1^13 + 3*g1^18*t^8.949 - t^4.345/(g1^4*y) - (g1^3*t^6.491)/y - t^7.034/(g1^12*y) + (g1^14*t^7.293)/y - t^7.396/(g1^22*y) + (2*g1^4*t^7.655)/y + t^7.836/(g1*y) + (3*t^8.198)/(g1^11*y) + (g1^20*t^8.276)/y + t^8.56/(g1^21*y) + (g1^10*t^8.638)/y + t^8.741/(g1^26*y) + (3*g1^5*t^8.819)/y - (t^4.345*y)/g1^4 - g1^3*t^6.491*y - (t^7.034*y)/g1^12 + g1^14*t^7.293*y - (t^7.396*y)/g1^22 + 2*g1^4*t^7.655*y + (t^7.836*y)/g1 + (3*t^8.198*y)/g1^11 + g1^20*t^8.276*y + (t^8.56*y)/g1^21 + g1^10*t^8.638*y + (t^8.741*y)/g1^26 + 3*g1^5*t^8.819*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 |
|---|---|---|---|---|---|---|---|---|
| 6450 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{2}M_{7}$ + ${ }M_{3}M_{8}$ + ${ }M_{5}M_{9}$ | 0.6777 | 0.8446 | 0.8024 | [M:[1.0092, 0.7768, 0.9511, 0.8349, 1.1651, 0.7186, 1.2232, 1.0489, 0.8349], q:[0.6024, 0.3884], qb:[0.4465, 0.7768], phi:[0.4465]] | t^2.156 + 2*t^2.505 + t^2.679 + t^3.028 + t^3.147 + 2*t^3.67 + t^4.018 + t^4.137 + 2*t^4.312 + t^4.486 + 2*t^4.661 + t^4.835 + t^4.954 + 3*t^5.009 + 3*t^5.184 + t^5.303 + t^5.532 + 2*t^5.651 + t^5.707 + 2*t^5.826 - 3*t^6. - t^4.339/y - t^4.339*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2664 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{2}M_{7}$ | 0.669 | 0.8291 | 0.8069 | [M:[0.9737, 0.7807, 0.9255, 0.829, 1.171, 0.7324, 1.2193], q:[0.6359, 0.3903], qb:[0.4386, 0.7807], phi:[0.4386]] | t^2.197 + t^2.487 + t^2.632 + t^2.776 + t^2.921 + t^3.513 + 2*t^3.658 + t^3.947 + t^4.25 + 2*t^4.395 + t^4.539 + t^4.684 + t^4.829 + 2*t^4.974 + 2*t^5.118 + t^5.131 + t^5.263 + t^5.408 + 2*t^5.553 + t^5.698 + t^5.71 + t^5.842 + t^5.855 - 2*t^6. - t^4.316/y - t^4.316*y | detail |