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 |
---|---|---|---|---|---|---|---|---|---|
1827 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}X_{1}$ | 0.6202 | 0.7595 | 0.8166 | [X:[1.6143], M:[1.1571, 0.3857, 0.8429, 0.6998], q:[0.3857, 0.4573], qb:[0.7714, 0.8429], phi:[0.3857]] | [X:[[1]], M:[[-3], [-1], [3], [-7]], q:[[-1], [4]], qb:[[-2], [3]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}\phi_{1}q_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{3}q_{1}^{2}$, ${ }M_{4}\phi_{1}q_{1}q_{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$ | ${}M_{3}\phi_{1}q_{1}^{2}$, ${ }\phi_{1}^{3}q_{1}q_{2}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$ | 1 | t^2.099 + t^2.314 + t^2.529 + 2*t^3.471 + 3*t^3.686 + t^3.901 + t^4.199 + t^4.414 + 2*t^4.628 + 2*t^4.843 + t^5.058 + 2*t^5.571 + 3*t^5.785 + t^6. + 2*t^6.215 + t^6.298 + t^6.429 + t^6.513 + 2*t^6.728 + 4*t^6.942 + 3*t^7.157 + 3*t^7.372 + 2*t^7.586 + 2*t^7.67 + t^7.801 + 3*t^7.885 + t^8.099 + t^8.314 + t^8.398 - t^8.529 + t^8.612 + t^8.744 + 2*t^8.827 + t^8.958 - t^4.157/y - t^6.256/y - t^6.471/y + t^7.414/y + t^7.628/y + (2*t^7.843)/y + t^8.058/y - t^8.356/y + t^8.571/y + (4*t^8.785)/y - t^4.157*y - t^6.256*y - t^6.471*y + t^7.414*y + t^7.628*y + 2*t^7.843*y + t^8.058*y - t^8.356*y + t^8.571*y + 4*t^8.785*y | t^2.099/g1^7 + t^2.314/g1^2 + g1^3*t^2.529 + (2*t^3.471)/g1^3 + 3*g1^2*t^3.686 + g1^7*t^3.901 + t^4.199/g1^14 + t^4.414/g1^9 + (2*t^4.628)/g1^4 + 2*g1*t^4.843 + g1^6*t^5.058 + (2*t^5.571)/g1^10 + (3*t^5.785)/g1^5 + t^6. + 2*g1^5*t^6.215 + t^6.298/g1^21 + g1^10*t^6.429 + t^6.513/g1^16 + (2*t^6.728)/g1^11 + (4*t^6.942)/g1^6 + (3*t^7.157)/g1 + 3*g1^4*t^7.372 + 2*g1^9*t^7.586 + (2*t^7.67)/g1^17 + g1^14*t^7.801 + (3*t^7.885)/g1^12 + t^8.099/g1^7 + t^8.314/g1^2 + t^8.398/g1^28 - g1^3*t^8.529 + t^8.612/g1^23 + g1^8*t^8.744 + (2*t^8.827)/g1^18 + g1^13*t^8.958 - t^4.157/(g1*y) - t^6.256/(g1^8*y) - t^6.471/(g1^3*y) + t^7.414/(g1^9*y) + t^7.628/(g1^4*y) + (2*g1*t^7.843)/y + (g1^6*t^8.058)/y - t^8.356/(g1^15*y) + t^8.571/(g1^10*y) + (4*t^8.785)/(g1^5*y) - (t^4.157*y)/g1 - (t^6.256*y)/g1^8 - (t^6.471*y)/g1^3 + (t^7.414*y)/g1^9 + (t^7.628*y)/g1^4 + 2*g1*t^7.843*y + g1^6*t^8.058*y - (t^8.356*y)/g1^15 + (t^8.571*y)/g1^10 + (4*t^8.785*y)/g1^5 |
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 |
---|---|---|---|---|---|---|---|---|
2852 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}X_{1}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ | 0.6408 | 0.7997 | 0.8014 | [X:[1.6157], M:[1.153, 0.3843, 0.847, 0.6904, 0.6904], q:[0.3843, 0.4626], qb:[0.7687, 0.847], phi:[0.3843]] | 2*t^2.071 + t^2.306 + t^2.541 + 2*t^3.459 + 3*t^3.694 + 3*t^4.143 + 2*t^4.377 + 3*t^4.612 + 2*t^4.847 + t^5.082 + 4*t^5.53 + 6*t^5.765 - t^4.153/y - t^4.153*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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
367 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ | 0.7271 | 0.893 | 0.8142 | [M:[1.0, 0.7947, 1.0, 0.7947], q:[0.4487, 0.5513], qb:[0.5513, 0.654], phi:[0.4487]] | 2*t^2.384 + t^2.692 + 2*t^3. + 2*t^3.308 + t^4.038 + 2*t^4.346 + 4*t^4.654 + 3*t^4.768 + 2*t^4.962 + 2*t^5.076 + t^5.27 + 4*t^5.384 + 2*t^5.692 - t^6. - t^4.346/y - t^4.346*y | detail |