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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736 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{4}$ + ${ }M_{4}M_{5}$ | 0.6168 | 0.7552 | 0.8167 | [M:[1.1785, 0.7498, 0.8215, 0.8215, 1.1785], q:[0.8036, 0.4467], qb:[0.3749, 0.8036], phi:[0.3928]] | [M:[[-6], [-14], [6], [6], [-6]], q:[[1], [13]], qb:[[-7], [1]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}$, ${ }M_{5}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ | ${}M_{3}M_{5}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$ | 1 | t^2.249 + t^2.357 + t^2.465 + t^3.428 + 2*t^3.535 + t^3.643 + t^3.751 + t^3.858 + t^4.499 + t^4.606 + 2*t^4.714 + 2*t^4.822 + t^4.929 + t^5.677 + 2*t^5.785 + 2*t^5.892 + t^6. + t^6.108 + t^6.215 + t^6.323 + t^6.748 + 2*t^6.855 + 3*t^6.963 + 4*t^7.071 + 2*t^7.178 + t^7.286 + t^7.394 + t^7.501 + t^7.609 + t^7.717 + t^7.926 + 2*t^8.034 + 2*t^8.142 + t^8.249 + t^8.357 - t^8.465 + t^8.68 + t^8.788 + t^8.997 - t^4.178/y - t^6.428/y - t^6.535/y + t^7.606/y + t^7.714/y + (2*t^7.822)/y + t^7.929/y + (2*t^8.785)/y + (3*t^8.892)/y - t^4.178*y - t^6.428*y - t^6.535*y + t^7.606*y + t^7.714*y + 2*t^7.822*y + t^7.929*y + 2*t^8.785*y + 3*t^8.892*y | t^2.249/g1^14 + t^2.357/g1^4 + g1^6*t^2.465 + t^3.428/g1^16 + (2*t^3.535)/g1^6 + g1^4*t^3.643 + g1^14*t^3.751 + g1^24*t^3.858 + t^4.499/g1^28 + t^4.606/g1^18 + (2*t^4.714)/g1^8 + 2*g1^2*t^4.822 + g1^12*t^4.929 + t^5.677/g1^30 + (2*t^5.785)/g1^20 + (2*t^5.892)/g1^10 + t^6. + g1^10*t^6.108 + g1^20*t^6.215 + g1^30*t^6.323 + t^6.748/g1^42 + (2*t^6.855)/g1^32 + (3*t^6.963)/g1^22 + (4*t^7.071)/g1^12 + (2*t^7.178)/g1^2 + g1^8*t^7.286 + g1^18*t^7.394 + g1^28*t^7.501 + g1^38*t^7.609 + g1^48*t^7.717 + t^7.926/g1^44 + (2*t^8.034)/g1^34 + (2*t^8.142)/g1^24 + t^8.249/g1^14 + t^8.357/g1^4 - g1^6*t^8.465 + g1^26*t^8.68 + g1^36*t^8.788 + t^8.997/g1^56 - t^4.178/(g1^2*y) - t^6.428/(g1^16*y) - t^6.535/(g1^6*y) + t^7.606/(g1^18*y) + t^7.714/(g1^8*y) + (2*g1^2*t^7.822)/y + (g1^12*t^7.929)/y + (2*t^8.785)/(g1^20*y) + (3*t^8.892)/(g1^10*y) - (t^4.178*y)/g1^2 - (t^6.428*y)/g1^16 - (t^6.535*y)/g1^6 + (t^7.606*y)/g1^18 + (t^7.714*y)/g1^8 + 2*g1^2*t^7.822*y + g1^12*t^7.929*y + (2*t^8.785*y)/g1^20 + (3*t^8.892*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 |
---|---|---|---|---|---|---|---|---|
1207 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{4}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{6}$ | 0.5982 | 0.7217 | 0.8288 | [M:[1.1863, 0.7681, 0.8137, 0.8137, 1.1863, 1.2319], q:[0.8023, 0.4296], qb:[0.3841, 0.8023], phi:[0.3954]] | t^2.373 + t^2.441 + t^3.491 + 2*t^3.559 + t^3.627 + 2*t^3.696 + t^3.764 + t^4.745 + 2*t^4.814 + t^4.882 + t^5.932 - t^4.186/y - t^4.186*y | detail | |
1208 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{4}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6342 | 0.7862 | 0.8067 | [M:[1.1759, 0.7438, 0.8241, 0.8241, 1.1759, 0.784], q:[0.804, 0.4521], qb:[0.3719, 0.804], phi:[0.392]] | t^2.232 + 2*t^2.352 + t^2.472 + t^3.407 + 2*t^3.528 + t^3.768 + t^3.889 + t^4.463 + 2*t^4.583 + 4*t^4.704 + 3*t^4.824 + t^4.944 + t^5.639 + 3*t^5.759 + 3*t^5.88 - t^4.176/y - t^4.176*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 |
---|---|---|---|---|---|---|---|---|---|
441 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{4}$ | 0.6321 | 0.7818 | 0.8086 | [M:[1.183, 0.7604, 0.817, 0.817], q:[0.8028, 0.4368], qb:[0.3802, 0.8028], phi:[0.3943]] | t^2.281 + t^2.366 + 2*t^2.451 + t^3.464 + t^3.549 + t^3.634 + t^3.719 + t^3.804 + t^4.562 + t^4.647 + 3*t^4.732 + 3*t^4.817 + 3*t^4.902 + t^5.746 + t^5.83 + 2*t^5.915 + t^6. - t^4.183/y - t^4.183*y | detail |