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 |
---|---|---|---|---|---|---|---|---|---|
267 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{3}q_{1}q_{2}$ + ${ }M_{1}M_{3}$ | 0.4329 | 0.5202 | 0.8323 | [X:[1.3957], M:[1.0936, 0.7193, 0.9064], q:[0.8489, 0.2446], qb:[0.6618, 1.036], phi:[0.3021]] | [X:[[4]], M:[[6], [-18], [-6]], q:[[1], [5]], qb:[[-11], [13]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }X_{1}$, ${ }M_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}\phi_{1}q_{2}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}^{2}$, ${ }q_{1}\tilde{q}_{2}$ | ${}\phi_{1}^{2}q_{2}^{3}\tilde{q}_{1}$ | -1 | t^2.158 + t^2.374 + t^2.719 + t^3.281 + t^4.187 + t^4.316 + t^4.532 + t^4.748 + t^4.877 + t^5.094 + t^5.439 + t^5.655 - t^6. + t^6.474 + t^6.69 + t^7.035 + t^7.123 + t^7.252 + t^7.597 + t^7.813 - t^8.158 - t^8.374 + t^8.632 - t^8.719 + t^8.848 - t^3.906/y - t^6.064/y + t^7.532/y + t^7.748/y + t^7.877/y + t^8.094/y - t^8.222/y + t^8.439/y + t^8.655/y - t^3.906*y - t^6.064*y + t^7.532*y + t^7.748*y + t^7.877*y + t^8.094*y - t^8.222*y + t^8.439*y + t^8.655*y | t^2.158/g1^18 + g1^8*t^2.374 + t^2.719/g1^6 + g1^6*t^3.281 + g1^4*t^4.187 + t^4.316/g1^36 + t^4.532/g1^10 + g1^16*t^4.748 + t^4.877/g1^24 + g1^2*t^5.094 + t^5.439/g1^12 + g1^14*t^5.655 - t^6. + t^6.474/g1^54 + t^6.69/g1^28 + t^7.035/g1^42 + g1^24*t^7.123 + t^7.252/g1^16 + t^7.597/g1^30 + t^7.813/g1^4 - t^8.158/g1^18 - g1^8*t^8.374 + t^8.632/g1^72 - t^8.719/g1^6 + t^8.848/g1^46 - t^3.906/(g1^2*y) - t^6.064/(g1^20*y) + t^7.532/(g1^10*y) + (g1^16*t^7.748)/y + t^7.877/(g1^24*y) + (g1^2*t^8.094)/y - t^8.222/(g1^38*y) + t^8.439/(g1^12*y) + (g1^14*t^8.655)/y - (t^3.906*y)/g1^2 - (t^6.064*y)/g1^20 + (t^7.532*y)/g1^10 + g1^16*t^7.748*y + (t^7.877*y)/g1^24 + g1^2*t^8.094*y - (t^8.222*y)/g1^38 + (t^8.439*y)/g1^12 + g1^14*t^8.655*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 |
---|---|---|---|---|---|---|---|---|
434 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{3}q_{1}q_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{1}M_{4}$ | 0.4419 | 0.5359 | 0.8246 | [X:[1.4016], M:[1.1025, 0.6926, 0.8975, 0.8975], q:[0.8504, 0.252], qb:[0.6455, 1.0553], phi:[0.2992]] | t^2.078 + t^2.41 + 2*t^2.693 + t^4.156 + t^4.205 + t^4.488 + 2*t^4.771 + t^4.82 + 2*t^5.102 + 2*t^5.385 - 2*t^6. - t^3.898/y - t^5.975/y - t^3.898*y - t^5.975*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 |
---|---|---|---|---|---|---|---|---|---|
24 | SU2adj1nf1 | ${}\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{3}$ | 0.4329 | 0.5202 | 0.8323 | [X:[1.3957], M:[1.0936, 0.7193, 0.9064], q:[0.3021], qb:[0.4893], phi:[0.3021]] | t^2.158 + t^2.374 + t^2.719 + t^3.281 + t^4.187 + t^4.316 + t^4.532 + t^4.748 + t^4.877 + t^5.094 + t^5.439 + t^5.655 - t^6. - t^3.906/y - t^3.906*y | detail |
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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
170 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{3}q_{1}q_{2}$ | 0.5129 | 0.6085 | 0.8428 | [X:[1.5308], M:[0.7038, 0.7038, 0.7038], q:[0.8827, 0.4135], qb:[0.8827, 0.8827], phi:[0.2346]] | 3*t^2.111 + t^3.185 + 6*t^4.223 + t^4.592 + 3*t^5.296 - 4*t^6. - t^3.704/y - (3*t^5.815)/y - t^3.704*y - 3*t^5.815*y | detail |