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 |
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2240 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{1}q_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{4}X_{1}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{7}$ | 0.6636 | 0.8215 | 0.8079 | [X:[1.3576], M:[1.022, 1.1678, 0.978, 0.6424, 0.8322, 0.7153, 1.022], q:[0.7737, 0.3941], qb:[0.5839, 0.438], phi:[0.4525]] | [X:[[6]], M:[[-22], [14], [22], [-6], [-14], [12], [-22]], q:[[-1], [15]], qb:[[7], [-29]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{6}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{7}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }X_{1}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{5}M_{7}$, ${ }M_{2}M_{6}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$ | ${}$ | -2 | t^2.146 + t^2.496 + t^2.715 + 2*t^3.066 + t^3.504 + t^3.635 + t^3.722 + t^3.986 + t^4.073 + 2*t^4.292 + t^4.424 + t^4.642 + 2*t^4.861 + t^4.993 + 3*t^5.212 + t^5.562 + t^5.649 + 3*t^5.781 - 2*t^6. + 4*t^6.132 + 2*t^6.219 + 2*t^6.438 + t^6.482 + t^6.569 + 3*t^6.701 + 2*t^6.788 - t^6.92 + 2*t^7.007 + 2*t^7.052 + 3*t^7.139 + 3*t^7.358 + t^7.445 + 2*t^7.489 + t^7.576 + t^7.621 + 2*t^7.708 + t^7.795 + 4*t^7.927 + t^7.972 + t^8.014 + 2*t^8.059 - 3*t^8.146 + 4*t^8.278 + 2*t^8.365 + t^8.409 + 2*t^8.584 + 2*t^8.628 - 2*t^8.715 + 6*t^8.847 + t^8.934 + t^8.979 - t^4.358/y - t^6.504/y - t^7.073/y + t^7.292/y - t^7.424/y + (2*t^7.642)/y + t^7.861/y + (4*t^8.212)/y + (2*t^8.562)/y + (3*t^8.781)/y + t^8.868/y - t^4.358*y - t^6.504*y - t^7.073*y + t^7.292*y - t^7.424*y + 2*t^7.642*y + t^7.861*y + 4*t^8.212*y + 2*t^8.562*y + 3*t^8.781*y + t^8.868*y | g1^12*t^2.146 + t^2.496/g1^14 + g1^4*t^2.715 + (2*t^3.066)/g1^22 + g1^14*t^3.504 + t^3.635/g1^30 + g1^32*t^3.722 + t^3.986/g1^56 + g1^6*t^4.073 + 2*g1^24*t^4.292 + t^4.424/g1^20 + t^4.642/g1^2 + 2*g1^16*t^4.861 + t^4.993/g1^28 + (3*t^5.212)/g1^10 + t^5.562/g1^36 + g1^26*t^5.649 + (3*t^5.781)/g1^18 - 2*t^6. + (4*t^6.132)/g1^44 + 2*g1^18*t^6.219 + 2*g1^36*t^6.438 + t^6.482/g1^70 + t^6.569/g1^8 + (3*t^6.701)/g1^52 + 2*g1^10*t^6.788 - t^6.92/g1^34 + 2*g1^28*t^7.007 + (2*t^7.052)/g1^78 + (3*t^7.139)/g1^16 + 3*g1^2*t^7.358 + g1^64*t^7.445 + (2*t^7.489)/g1^42 + g1^20*t^7.576 + t^7.621/g1^86 + (2*t^7.708)/g1^24 + g1^38*t^7.795 + (4*t^7.927)/g1^6 + t^7.972/g1^112 + g1^56*t^8.014 + (2*t^8.059)/g1^50 - 3*g1^12*t^8.146 + (4*t^8.278)/g1^32 + 2*g1^30*t^8.365 + t^8.409/g1^76 + 2*g1^48*t^8.584 + (2*t^8.628)/g1^58 - 2*g1^4*t^8.715 + (6*t^8.847)/g1^40 + g1^22*t^8.934 + t^8.979/g1^84 - (g1^2*t^4.358)/y - (g1^14*t^6.504)/y - (g1^6*t^7.073)/y + (g1^24*t^7.292)/y - t^7.424/(g1^20*y) + (2*t^7.642)/(g1^2*y) + (g1^16*t^7.861)/y + (4*t^8.212)/(g1^10*y) + (2*t^8.562)/(g1^36*y) + (3*t^8.781)/(g1^18*y) + (g1^44*t^8.868)/y - g1^2*t^4.358*y - g1^14*t^6.504*y - g1^6*t^7.073*y + g1^24*t^7.292*y - (t^7.424*y)/g1^20 + (2*t^7.642*y)/g1^2 + g1^16*t^7.861*y + (4*t^8.212*y)/g1^10 + (2*t^8.562*y)/g1^36 + (3*t^8.781*y)/g1^18 + g1^44*t^8.868*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 |
---|---|---|---|---|---|---|---|---|
4237 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{1}q_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{4}X_{1}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{2}M_{8}$ | 0.6782 | 0.8475 | 0.8003 | [X:[1.3602], M:[1.0124, 1.1739, 0.9876, 0.6398, 0.8261, 0.7205, 1.0124, 0.8261], q:[0.7733, 0.4006], qb:[0.587, 0.4255], phi:[0.4534]] | t^2.161 + 2*t^2.478 + t^2.72 + 2*t^3.037 + t^3.596 + t^3.764 + t^3.913 + t^4.081 + 2*t^4.323 + t^4.398 + 2*t^4.64 + 2*t^4.882 + 3*t^4.957 + 4*t^5.199 + 3*t^5.516 + 3*t^5.758 - 3*t^6. - t^4.36/y - t^4.36*y | detail | |
4236 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{1}q_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{4}X_{1}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{8}\phi_{1}\tilde{q}_{2}^{2}$ | 0.6845 | 0.8629 | 0.7932 | [X:[1.3574], M:[1.0228, 1.1673, 0.9772, 0.6426, 0.8327, 0.7148, 1.0228, 0.6693], q:[0.7738, 0.3936], qb:[0.5837, 0.4391], phi:[0.4525]] | t^2.008 + t^2.145 + t^2.498 + t^2.715 + 2*t^3.068 + t^3.502 + t^3.639 + t^3.719 + t^4.016 + t^4.072 + t^4.152 + 2*t^4.289 + t^4.426 + t^4.506 + t^4.643 + t^4.723 + 2*t^4.859 + t^4.996 + 2*t^5.076 + 3*t^5.213 + t^5.51 + t^5.566 + 2*t^5.646 + t^5.727 + 3*t^5.783 - 2*t^6. - t^4.357/y - t^4.357*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 |
---|---|---|---|---|---|---|---|---|---|
1200 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{1}q_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{4}X_{1}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6666 | 0.826 | 0.8071 | [X:[1.352], M:[1.0427, 1.1546, 0.9573, 0.648, 0.8454, 0.704], q:[0.7747, 0.3799], qb:[0.5773, 0.4654], phi:[0.4507]] | t^2.112 + t^2.536 + t^2.704 + t^2.872 + t^3.128 + t^3.464 + t^3.632 + t^3.72 + t^4.056 + t^4.145 + 2*t^4.224 + t^4.48 + t^4.648 + 2*t^4.816 + t^4.984 + t^5.072 + 2*t^5.24 + t^5.408 + 2*t^5.576 + t^5.744 + 2*t^5.832 - t^6. - t^4.352/y - t^4.352*y | detail |