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 |
---|---|---|---|---|---|---|---|---|---|
46701 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{4}$ | 0.5982 | 0.7217 | 0.8288 | [M:[0.8137, 0.7681, 1.1863, 1.2319], q:[0.8023, 0.3841], qb:[0.4296, 0.8023], phi:[0.3954]] | [M:[[6], [-14], [-6], [14]], q:[[1], [-7]], qb:[[13], [1]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}\phi_{1}^{2}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}\phi_{1}^{2}$ | ${}\phi_{1}^{3}q_{2}\tilde{q}_{1}$ | 0 | 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^6.068 + 2*t^6.137 + t^6.205 + t^6.981 + t^7.05 + 2*t^7.118 + 2*t^7.186 + 3*t^7.255 + 2*t^7.323 + 3*t^7.391 + 2*t^7.46 + t^7.528 - t^8.441 + t^8.509 + 2*t^8.578 + t^8.646 - t^4.186/y - t^6.559/y + (2*t^7.814)/y + t^8.863/y + (2*t^8.932)/y - t^4.186*y - t^6.559*y + 2*t^7.814*y + t^8.863*y + 2*t^8.932*y | t^2.373/g1^4 + g1^6*t^2.441 + t^3.491/g1^16 + (2*t^3.559)/g1^6 + g1^4*t^3.627 + 2*g1^14*t^3.696 + g1^24*t^3.764 + t^4.745/g1^8 + 2*g1^2*t^4.814 + g1^12*t^4.882 + t^5.932/g1^10 + g1^10*t^6.068 + 2*g1^20*t^6.137 + g1^30*t^6.205 + t^6.981/g1^32 + t^7.05/g1^22 + (2*t^7.118)/g1^12 + (2*t^7.186)/g1^2 + 3*g1^8*t^7.255 + 2*g1^18*t^7.323 + 3*g1^28*t^7.391 + 2*g1^38*t^7.46 + g1^48*t^7.528 - g1^6*t^8.441 + g1^16*t^8.509 + 2*g1^26*t^8.578 + g1^36*t^8.646 - t^4.186/(g1^2*y) - t^6.559/(g1^6*y) + (2*g1^2*t^7.814)/y + t^8.863/(g1^20*y) + (2*t^8.932)/(g1^10*y) - (t^4.186*y)/g1^2 - (t^6.559*y)/g1^6 + 2*g1^2*t^7.814*y + (t^8.863*y)/g1^20 + (2*t^8.932*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 |
---|---|---|---|---|---|---|---|---|
46911 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{3}M_{5}$ | 0.614 | 0.75 | 0.8186 | [M:[0.8086, 0.78, 1.1914, 1.22, 0.8086], q:[0.8014, 0.39], qb:[0.4186, 0.8014], phi:[0.3971]] | t^2.383 + 2*t^2.426 + t^3.531 + t^3.574 + t^3.617 + 2*t^3.66 + t^3.703 + t^4.766 + 3*t^4.809 + 3*t^4.851 + t^5.957 - t^4.191/y - t^4.191*y | detail | |
46979 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ | 0.618 | 0.7587 | 0.8146 | [M:[0.8217, 0.7494, 1.1783, 1.2506, 0.7132], q:[0.8036, 0.3747], qb:[0.447, 0.8036], phi:[0.3928]] | t^2.14 + t^2.357 + t^2.465 + t^3.426 + 2*t^3.535 + t^3.643 + 2*t^3.752 + t^4.279 + t^4.496 + t^4.605 + t^4.713 + 2*t^4.822 + t^4.93 + t^5.566 + 2*t^5.675 + t^5.783 + 3*t^5.892 - t^4.178/y - t^4.178*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 |
---|---|---|---|---|---|---|---|---|---|
46245 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}q_{1}^{2}$ | 0.6168 | 0.7552 | 0.8167 | [M:[0.8215, 0.7498, 1.1785], q:[0.8036, 0.3749], qb:[0.4467, 0.8036], phi:[0.3928]] | 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^4.178/y - t^4.178*y | detail |