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 |
---|---|---|---|---|---|---|---|---|---|
1204 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{1}q_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6685 | 0.8477 | 0.7886 | [M:[1.1747, 0.7409, 0.8253, 0.8253, 0.7409, 0.7831], q:[0.8042, 0.4549], qb:[0.3704, 0.8042], phi:[0.3916]] | [M:[[-6], [-14], [6], [6], [-14], [-4]], q:[[1], [13]], qb:[[-7], [1]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{5}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{4}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{4}M_{5}$, ${ }M_{6}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{6}$, ${ }M_{4}M_{6}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}M_{5}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ | ${}\phi_{1}\tilde{q}_{2}^{2}$ | -1 | 2*t^2.223 + 2*t^2.349 + 2*t^2.476 + t^3.397 + t^3.524 + t^3.904 + 3*t^4.445 + 4*t^4.572 + 7*t^4.699 + 5*t^4.825 + 3*t^4.952 + 2*t^5.62 + 3*t^5.747 + 2*t^5.873 - t^6. + t^6.253 + 2*t^6.38 + 4*t^6.668 + 7*t^6.794 + 12*t^6.921 + 12*t^7.048 + 10*t^7.175 + 4*t^7.301 + 2*t^7.428 - t^7.555 + t^7.808 + 3*t^7.842 + 5*t^7.969 + 5*t^8.096 - t^8.223 - 4*t^8.349 - 7*t^8.476 - t^8.603 + 2*t^8.73 + 3*t^8.856 + 5*t^8.89 - t^4.175/y - (2*t^6.397)/y - (2*t^6.524)/y - t^6.651/y + t^7.445/y + (4*t^7.572)/y + (6*t^7.699)/y + (6*t^7.825)/y + (3*t^7.952)/y - t^8.62/y - t^8.873/y - t^4.175*y - 2*t^6.397*y - 2*t^6.524*y - t^6.651*y + t^7.445*y + 4*t^7.572*y + 6*t^7.699*y + 6*t^7.825*y + 3*t^7.952*y - t^8.62*y - t^8.873*y | (2*t^2.223)/g1^14 + (2*t^2.349)/g1^4 + 2*g1^6*t^2.476 + t^3.397/g1^16 + t^3.524/g1^6 + g1^24*t^3.904 + (3*t^4.445)/g1^28 + (4*t^4.572)/g1^18 + (7*t^4.699)/g1^8 + 5*g1^2*t^4.825 + 3*g1^12*t^4.952 + (2*t^5.62)/g1^30 + (3*t^5.747)/g1^20 + (2*t^5.873)/g1^10 - t^6. + g1^20*t^6.253 + 2*g1^30*t^6.38 + (4*t^6.668)/g1^42 + (7*t^6.794)/g1^32 + (12*t^6.921)/g1^22 + (12*t^7.048)/g1^12 + (10*t^7.175)/g1^2 + 4*g1^8*t^7.301 + 2*g1^18*t^7.428 - g1^28*t^7.555 + g1^48*t^7.808 + (3*t^7.842)/g1^44 + (5*t^7.969)/g1^34 + (5*t^8.096)/g1^24 - t^8.223/g1^14 - (4*t^8.349)/g1^4 - 7*g1^6*t^8.476 - g1^16*t^8.603 + 2*g1^26*t^8.73 + 3*g1^36*t^8.856 + (5*t^8.89)/g1^56 - t^4.175/(g1^2*y) - (2*t^6.397)/(g1^16*y) - (2*t^6.524)/(g1^6*y) - (g1^4*t^6.651)/y + t^7.445/(g1^28*y) + (4*t^7.572)/(g1^18*y) + (6*t^7.699)/(g1^8*y) + (6*g1^2*t^7.825)/y + (3*g1^12*t^7.952)/y - t^8.62/(g1^30*y) - t^8.873/(g1^10*y) - (t^4.175*y)/g1^2 - (2*t^6.397*y)/g1^16 - (2*t^6.524*y)/g1^6 - g1^4*t^6.651*y + (t^7.445*y)/g1^28 + (4*t^7.572*y)/g1^18 + (6*t^7.699*y)/g1^8 + 6*g1^2*t^7.825*y + 3*g1^12*t^7.952*y - (t^8.62*y)/g1^30 - (t^8.873*y)/g1^10 |
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 |
---|---|---|---|---|---|---|---|---|
2263 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{1}q_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{7}$ | 0.6835 | 0.8732 | 0.7827 | [M:[1.1786, 0.75, 0.8214, 0.8214, 0.75, 0.7857, 0.8214], q:[0.8036, 0.4465], qb:[0.375, 0.8036], phi:[0.3929]] | 2*t^2.25 + 2*t^2.357 + 3*t^2.464 + t^3.428 + t^3.857 + 3*t^4.5 + 4*t^4.607 + 9*t^4.714 + 7*t^4.821 + 6*t^4.929 + 2*t^5.678 + t^5.786 + t^5.893 - 3*t^6. - t^4.179/y - t^4.179*y | detail | |
2266 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{1}q_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{7}$ | 0.6537 | 0.823 | 0.7944 | [M:[1.1706, 0.7314, 0.8294, 0.8294, 0.7314, 0.7804, 1.1706], q:[0.8049, 0.4637], qb:[0.3657, 0.8049], phi:[0.3902]] | 2*t^2.194 + 2*t^2.341 + t^2.488 + t^3.365 + 2*t^3.512 + t^3.953 + 3*t^4.389 + 4*t^4.536 + 5*t^4.682 + 3*t^4.829 + t^4.976 + 2*t^5.559 + 5*t^5.706 + 3*t^5.853 - t^6. - t^4.171/y - t^4.171*y | detail | |
2265 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{1}q_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ | 0.6891 | 0.8883 | 0.7758 | [M:[1.172, 0.7346, 0.828, 0.828, 0.7346, 0.7813, 0.6878], q:[0.8047, 0.4608], qb:[0.3673, 0.8047], phi:[0.3907]] | t^2.064 + 2*t^2.204 + 2*t^2.344 + 2*t^2.484 + t^3.376 + t^3.516 + t^4.127 + 2*t^4.267 + 5*t^4.407 + 6*t^4.548 + 7*t^4.688 + 5*t^4.828 + 3*t^4.968 + t^5.439 + 3*t^5.579 + 3*t^5.72 + 2*t^5.86 - t^6. - t^4.172/y - t^4.172*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 |
---|---|---|---|---|---|---|---|---|---|
732 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{1}q_{2}$ + ${ }M_{1}M_{4}$ | 0.651 | 0.8164 | 0.7974 | [M:[1.1768, 0.7458, 0.8232, 0.8232, 0.7458], q:[0.8039, 0.4503], qb:[0.3729, 0.8039], phi:[0.3923]] | 2*t^2.237 + t^2.354 + 2*t^2.47 + t^3.414 + t^3.53 + t^3.646 + t^3.879 + 3*t^4.475 + 2*t^4.591 + 5*t^4.707 + 3*t^4.823 + 3*t^4.939 + 2*t^5.652 + 2*t^5.768 + 3*t^5.884 - t^4.177/y - t^4.177*y | detail |