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 |
|---|---|---|---|---|---|---|---|---|---|
| 5241 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{7}q_{2}\tilde{q}_{1}$ + ${ }M_{4}X_{1}$ + ${ }M_{8}\phi_{1}q_{1}^{2}$ | 0.6986 | 0.8876 | 0.7871 | [X:[1.3463], M:[1.0, 0.8269, 1.1731, 0.6537, 0.8269, 0.7164, 1.0238, 0.6926], q:[0.4253, 0.5747], qb:[0.4015, 0.7716], phi:[0.4567]] | [X:[[16]], M:[[0], [-8], [8], [-16], [-8], [10], [-22], [32]], q:[[-15], [15]], qb:[[7], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{8}$, ${ }M_{6}$, ${ }M_{2}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{7}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }X_{1}$, ${ }M_{8}^{2}$, ${ }M_{6}M_{8}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}M_{8}$, ${ }M_{5}M_{8}$, ${ }M_{2}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{8}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{8}$, ${ }M_{1}M_{6}$, ${ }M_{7}M_{8}$, ${ }M_{6}M_{7}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{7}$, ${ }M_{5}M_{7}$, ${ }M_{8}q_{1}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$ | ${}$ | -2 | t^2.078 + t^2.149 + 2*t^2.481 + t^2.74 + t^3. + t^3.072 + t^3.591 + t^3.779 + t^4.039 + t^4.156 + t^4.227 + 2*t^4.299 + t^4.37 + 2*t^4.558 + 2*t^4.63 + 2*t^4.818 + t^4.89 + 3*t^4.961 + t^5.078 + 2*t^5.149 + 3*t^5.221 + 2*t^5.481 + t^5.552 + t^5.669 + 2*t^5.74 + t^5.812 + t^5.857 - 2*t^6. + 2*t^6.072 + t^6.117 + t^6.143 + t^6.188 + t^6.233 + t^6.26 + t^6.305 + 2*t^6.376 + 2*t^6.448 + 2*t^6.519 + 2*t^6.636 + t^6.662 + 2*t^6.708 + 4*t^6.779 + t^6.851 + 2*t^6.896 - t^6.922 + 2*t^6.967 + 4*t^7.039 + 3*t^7.11 + t^7.156 + 2*t^7.227 + 5*t^7.299 + 3*t^7.37 + 3*t^7.442 + 3*t^7.558 + 3*t^7.63 + 3*t^7.701 + t^7.747 + 2*t^7.818 + 2*t^7.89 + t^7.935 + 4*t^7.961 + t^8.033 - t^8.078 - t^8.149 + t^8.194 + 3*t^8.221 + t^8.266 + 2*t^8.292 + t^8.311 + 2*t^8.338 + t^8.383 + 2*t^8.454 - 4*t^8.481 + 2*t^8.526 + 3*t^8.552 + 4*t^8.597 + t^8.624 + 2*t^8.714 + 2*t^8.785 + t^8.812 + 5*t^8.857 + t^8.883 + 2*t^8.928 + 2*t^8.974 - t^4.37/y - t^6.448/y - t^6.519/y - t^6.851/y - t^7.11/y + t^7.227/y + t^7.299/y - t^7.442/y + (2*t^7.558)/y + (3*t^7.63)/y + t^7.818/y + (2*t^7.89)/y + t^7.961/y + t^8.078/y + (2*t^8.149)/y + (4*t^8.221)/y + t^8.292/y + (2*t^8.481)/y - t^8.526/y + (2*t^8.552)/y - t^8.597/y + (2*t^8.74)/y + t^8.812/y + t^8.857/y - t^4.37*y - t^6.448*y - t^6.519*y - t^6.851*y - t^7.11*y + t^7.227*y + t^7.299*y - t^7.442*y + 2*t^7.558*y + 3*t^7.63*y + t^7.818*y + 2*t^7.89*y + t^7.961*y + t^8.078*y + 2*t^8.149*y + 4*t^8.221*y + t^8.292*y + 2*t^8.481*y - t^8.526*y + 2*t^8.552*y - t^8.597*y + 2*t^8.74*y + t^8.812*y + t^8.857*y | g1^32*t^2.078 + g1^10*t^2.149 + (2*t^2.481)/g1^8 + t^2.74/g1^4 + t^3. + t^3.072/g1^22 + t^3.591/g1^14 + g1^12*t^3.779 + g1^16*t^4.039 + g1^64*t^4.156 + g1^42*t^4.227 + 2*g1^20*t^4.299 + t^4.37/g1^2 + 2*g1^24*t^4.558 + 2*g1^2*t^4.63 + 2*g1^28*t^4.818 + g1^6*t^4.89 + (3*t^4.961)/g1^16 + g1^32*t^5.078 + 2*g1^10*t^5.149 + (3*t^5.221)/g1^12 + (2*t^5.481)/g1^8 + t^5.552/g1^30 + g1^18*t^5.669 + (2*t^5.74)/g1^4 + t^5.812/g1^26 + g1^44*t^5.857 - 2*t^6. + (2*t^6.072)/g1^22 + g1^48*t^6.117 + t^6.143/g1^44 + g1^26*t^6.188 + g1^96*t^6.233 + g1^4*t^6.26 + g1^74*t^6.305 + 2*g1^52*t^6.376 + 2*g1^30*t^6.448 + 2*g1^8*t^6.519 + 2*g1^56*t^6.636 + t^6.662/g1^36 + 2*g1^34*t^6.708 + 4*g1^12*t^6.779 + t^6.851/g1^10 + 2*g1^60*t^6.896 - t^6.922/g1^32 + 2*g1^38*t^6.967 + 4*g1^16*t^7.039 + (3*t^7.11)/g1^6 + g1^64*t^7.156 + 2*g1^42*t^7.227 + 5*g1^20*t^7.299 + (3*t^7.37)/g1^2 + (3*t^7.442)/g1^24 + 3*g1^24*t^7.558 + 3*g1^2*t^7.63 + (3*t^7.701)/g1^20 + g1^50*t^7.747 + 2*g1^28*t^7.818 + 2*g1^6*t^7.89 + g1^76*t^7.935 + (4*t^7.961)/g1^16 + t^8.033/g1^38 - g1^32*t^8.078 - g1^10*t^8.149 + g1^80*t^8.194 + (3*t^8.221)/g1^12 + g1^58*t^8.266 + (2*t^8.292)/g1^34 + g1^128*t^8.311 + 2*g1^36*t^8.338 + g1^106*t^8.383 + 2*g1^84*t^8.454 - (4*t^8.481)/g1^8 + 2*g1^62*t^8.526 + (3*t^8.552)/g1^30 + 4*g1^40*t^8.597 + t^8.624/g1^52 + 2*g1^88*t^8.714 + 2*g1^66*t^8.785 + t^8.812/g1^26 + 5*g1^44*t^8.857 + t^8.883/g1^48 + 2*g1^22*t^8.928 + 2*g1^92*t^8.974 - t^4.37/(g1^2*y) - (g1^30*t^6.448)/y - (g1^8*t^6.519)/y - t^6.851/(g1^10*y) - t^7.11/(g1^6*y) + (g1^42*t^7.227)/y + (g1^20*t^7.299)/y - t^7.442/(g1^24*y) + (2*g1^24*t^7.558)/y + (3*g1^2*t^7.63)/y + (g1^28*t^7.818)/y + (2*g1^6*t^7.89)/y + t^7.961/(g1^16*y) + (g1^32*t^8.078)/y + (2*g1^10*t^8.149)/y + (4*t^8.221)/(g1^12*y) + t^8.292/(g1^34*y) + (2*t^8.481)/(g1^8*y) - (g1^62*t^8.526)/y + (2*t^8.552)/(g1^30*y) - (g1^40*t^8.597)/y + (2*t^8.74)/(g1^4*y) + t^8.812/(g1^26*y) + (g1^44*t^8.857)/y - (t^4.37*y)/g1^2 - g1^30*t^6.448*y - g1^8*t^6.519*y - (t^6.851*y)/g1^10 - (t^7.11*y)/g1^6 + g1^42*t^7.227*y + g1^20*t^7.299*y - (t^7.442*y)/g1^24 + 2*g1^24*t^7.558*y + 3*g1^2*t^7.63*y + g1^28*t^7.818*y + 2*g1^6*t^7.89*y + (t^7.961*y)/g1^16 + g1^32*t^8.078*y + 2*g1^10*t^8.149*y + (4*t^8.221*y)/g1^12 + (t^8.292*y)/g1^34 + (2*t^8.481*y)/g1^8 - g1^62*t^8.526*y + (2*t^8.552*y)/g1^30 - g1^40*t^8.597*y + (2*t^8.74*y)/g1^4 + (t^8.812*y)/g1^26 + g1^44*t^8.857*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 |
|---|---|---|---|---|---|---|---|---|
| 6790 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{7}q_{2}\tilde{q}_{1}$ + ${ }M_{4}X_{1}$ + ${ }M_{8}\phi_{1}q_{1}^{2}$ + ${ }M_{6}M_{9}$ | 0.6784 | 0.8496 | 0.7986 | [X:[1.3493], M:[1.0, 0.8254, 1.1746, 0.6507, 0.8254, 0.7183, 1.0198, 0.6985, 1.2817], q:[0.4226, 0.5774], qb:[0.4028, 0.7718], phi:[0.4563]] | t^2.096 + 2*t^2.476 + t^2.738 + t^3. + t^3.059 + t^3.583 + t^3.786 + t^3.845 + t^4.048 + t^4.191 + t^4.31 + t^4.369 + 2*t^4.572 + 2*t^4.834 + 3*t^4.952 + t^5.096 + t^5.155 + 2*t^5.214 + 2*t^5.476 + t^5.535 + t^5.679 + t^5.738 + t^5.797 + t^5.881 - 2*t^6. - t^4.369/y - t^4.369*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 |
|---|---|---|---|---|---|---|---|---|---|
| 3577 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{7}q_{2}\tilde{q}_{1}$ + ${ }M_{4}X_{1}$ | 0.678 | 0.8481 | 0.7995 | [X:[1.3541], M:[1.0, 0.823, 1.177, 0.6459, 0.823, 0.7213, 1.0131], q:[0.418, 0.582], qb:[0.4049, 0.7721], phi:[0.4557]] | t^2.164 + 2*t^2.469 + t^2.734 + t^3. + t^3.039 + t^3.571 + t^3.797 + t^3.875 + t^4.062 + 2*t^4.328 + t^4.367 + 2*t^4.633 + t^4.859 + t^4.898 + 3*t^4.938 + t^5.164 + 3*t^5.203 + 2*t^5.469 + t^5.508 + 2*t^5.734 + t^5.774 - 2*t^6. - t^4.367/y - t^4.367*y | detail |