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 |
|---|---|---|---|---|---|---|---|---|---|
| 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]] | [X:[[16]], M:[[0], [-8], [8], [-16], [-8], [10], [-22]], q:[[-15], [15]], qb:[[7], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }M_{2}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{7}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }X_{1}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}M_{6}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{7}$, ${ }M_{5}M_{7}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }M_{7}\phi_{1}^{2}$ | ${}$ | -2 | 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. + 3*t^6.039 + t^6.079 + t^6.226 + t^6.266 + 2*t^6.344 + t^6.492 + 2*t^6.531 + 2*t^6.61 + 4*t^6.797 + t^6.836 + t^6.915 + t^7.023 + t^7.062 + 3*t^7.102 + 2*t^7.328 + 3*t^7.367 + 3*t^7.407 + t^7.446 + t^7.593 + 2*t^7.633 + 4*t^7.672 + t^7.751 + t^7.898 + 5*t^7.938 + t^7.977 + t^8.125 - 3*t^8.164 + 4*t^8.203 + 3*t^8.243 + t^8.39 - 4*t^8.469 + 5*t^8.508 + t^8.548 + 2*t^8.656 + 2*t^8.774 + 4*t^8.813 + t^8.921 + t^8.961 - t^4.367/y - t^6.531/y - t^6.836/y - t^7.102/y + t^7.328/y - t^7.407/y + (3*t^7.633)/y + (2*t^7.898)/y + t^7.938/y + t^8.164/y + (4*t^8.203)/y + (2*t^8.469)/y + (2*t^8.508)/y - t^8.695/y + (2*t^8.734)/y + t^8.774/y + t^8.961/y - t^4.367*y - t^6.531*y - t^6.836*y - t^7.102*y + t^7.328*y - t^7.407*y + 3*t^7.633*y + 2*t^7.898*y + t^7.938*y + t^8.164*y + 4*t^8.203*y + 2*t^8.469*y + 2*t^8.508*y - t^8.695*y + 2*t^8.734*y + t^8.774*y + t^8.961*y | g1^10*t^2.164 + (2*t^2.469)/g1^8 + t^2.734/g1^4 + t^3. + t^3.039/g1^22 + t^3.571/g1^14 + g1^12*t^3.797 + t^3.875/g1^32 + g1^16*t^4.062 + 2*g1^20*t^4.328 + t^4.367/g1^2 + 2*g1^2*t^4.633 + g1^28*t^4.859 + g1^6*t^4.898 + (3*t^4.938)/g1^16 + g1^10*t^5.164 + (3*t^5.203)/g1^12 + (2*t^5.469)/g1^8 + t^5.508/g1^30 + (2*t^5.734)/g1^4 + t^5.774/g1^26 - 2*t^6. + (3*t^6.039)/g1^22 + t^6.079/g1^44 + g1^26*t^6.226 + g1^4*t^6.266 + (2*t^6.344)/g1^40 + g1^30*t^6.492 + 2*g1^8*t^6.531 + (2*t^6.61)/g1^36 + 4*g1^12*t^6.797 + t^6.836/g1^10 + t^6.915/g1^54 + g1^38*t^7.023 + g1^16*t^7.062 + (3*t^7.102)/g1^6 + 2*g1^20*t^7.328 + (3*t^7.367)/g1^2 + (3*t^7.407)/g1^24 + t^7.446/g1^46 + g1^24*t^7.593 + 2*g1^2*t^7.633 + (4*t^7.672)/g1^20 + t^7.751/g1^64 + g1^6*t^7.898 + (5*t^7.938)/g1^16 + t^7.977/g1^38 + g1^32*t^8.125 - 3*g1^10*t^8.164 + (4*t^8.203)/g1^12 + (3*t^8.243)/g1^34 + g1^36*t^8.39 - (4*t^8.469)/g1^8 + (5*t^8.508)/g1^30 + t^8.548/g1^52 + 2*g1^40*t^8.656 + (2*t^8.774)/g1^26 + (4*t^8.813)/g1^48 + g1^44*t^8.921 + g1^22*t^8.961 - t^4.367/(g1^2*y) - (g1^8*t^6.531)/y - t^6.836/(g1^10*y) - t^7.102/(g1^6*y) + (g1^20*t^7.328)/y - t^7.407/(g1^24*y) + (3*g1^2*t^7.633)/y + (2*g1^6*t^7.898)/y + t^7.938/(g1^16*y) + (g1^10*t^8.164)/y + (4*t^8.203)/(g1^12*y) + (2*t^8.469)/(g1^8*y) + (2*t^8.508)/(g1^30*y) - (g1^18*t^8.695)/y + (2*t^8.734)/(g1^4*y) + t^8.774/(g1^26*y) + (g1^22*t^8.961)/y - (t^4.367*y)/g1^2 - g1^8*t^6.531*y - (t^6.836*y)/g1^10 - (t^7.102*y)/g1^6 + g1^20*t^7.328*y - (t^7.407*y)/g1^24 + 3*g1^2*t^7.633*y + 2*g1^6*t^7.898*y + (t^7.938*y)/g1^16 + g1^10*t^8.164*y + (4*t^8.203*y)/g1^12 + (2*t^8.469*y)/g1^8 + (2*t^8.508*y)/g1^30 - g1^18*t^8.695*y + (2*t^8.734*y)/g1^4 + (t^8.774*y)/g1^26 + g1^22*t^8.961*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 |
|---|---|---|---|---|---|---|---|---|
| 5241 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{7}q_{2}\tilde{q}_{1}$ + ${ }M_{4}X_{1}$ + ${ }M_{8}\phi_{1}q_{1}^{2}$ | 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]] | 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. - t^4.37/y - t^4.37*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2973 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{1}$ | 0.7023 | 0.8948 | 0.7849 | [M:[1.0, 0.8396, 1.1604, 0.6792, 0.8396, 0.7005], q:[0.4492, 0.5508], qb:[0.3904, 0.7701], phi:[0.4599]] | t^2.037 + t^2.102 + 2*t^2.519 + t^2.759 + t^2.823 + t^3. + t^3.658 + t^3.722 + 2*t^4.075 + t^4.139 + 2*t^4.203 + t^4.38 + 2*t^4.556 + 2*t^4.62 + t^4.684 + t^4.797 + 2*t^4.861 + t^4.925 + 4*t^5.037 + t^5.102 + 2*t^5.278 + 2*t^5.342 + 2*t^5.519 + t^5.583 + t^5.647 + 3*t^5.759 + t^5.823 - 2*t^6. - t^4.38/y - t^4.38*y | detail |