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 |
---|---|---|---|---|---|---|---|---|---|
47132 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ | 0.6488 | 0.8116 | 0.7994 | [M:[0.8156, 0.7636, 1.1844, 0.7636, 0.8416], q:[0.8026, 0.3818], qb:[0.4338, 0.8026], phi:[0.3948]] | [M:[[6], [-14], [-6], [-14], [16]], q:[[1], [-7]], qb:[[13], [1]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{5}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}M_{5}$, ${ }M_{4}M_{5}$, ${ }M_{1}\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}M_{4}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ | ${}\phi_{1}^{3}q_{2}\tilde{q}_{1}$ | 0 | 2*t^2.291 + t^2.369 + t^2.447 + t^2.525 + 2*t^3.553 + t^3.631 + t^3.787 + 3*t^4.581 + 2*t^4.659 + 3*t^4.738 + 4*t^4.816 + 2*t^4.894 + t^4.972 + t^5.05 + 3*t^5.844 + 2*t^5.922 + 3*t^6.078 + t^6.156 + t^6.234 + t^6.312 + 4*t^6.872 + 3*t^6.95 + 4*t^7.028 + 8*t^7.106 + 4*t^7.184 + t^7.262 + 4*t^7.341 + 2*t^7.419 + t^7.497 + 2*t^7.575 + 4*t^8.135 + 2*t^8.213 - 2*t^8.291 + 3*t^8.369 - t^8.447 - t^8.525 + 3*t^8.603 + 2*t^8.681 + t^8.759 + t^8.837 - t^4.184/y - (2*t^6.475)/y - t^6.553/y - t^6.709/y + t^7.581/y + (3*t^7.659)/y + (2*t^7.738)/y + (4*t^7.816)/y + (3*t^7.894)/y + t^7.972/y - (3*t^8.766)/y + (2*t^8.844)/y + (3*t^8.922)/y - t^4.184*y - 2*t^6.475*y - t^6.553*y - t^6.709*y + t^7.581*y + 3*t^7.659*y + 2*t^7.738*y + 4*t^7.816*y + 3*t^7.894*y + t^7.972*y - 3*t^8.766*y + 2*t^8.844*y + 3*t^8.922*y | (2*t^2.291)/g1^14 + t^2.369/g1^4 + g1^6*t^2.447 + g1^16*t^2.525 + (2*t^3.553)/g1^6 + g1^4*t^3.631 + g1^24*t^3.787 + (3*t^4.581)/g1^28 + (2*t^4.659)/g1^18 + (3*t^4.738)/g1^8 + 4*g1^2*t^4.816 + 2*g1^12*t^4.894 + g1^22*t^4.972 + g1^32*t^5.05 + (3*t^5.844)/g1^20 + (2*t^5.922)/g1^10 + 3*g1^10*t^6.078 + g1^20*t^6.156 + g1^30*t^6.234 + g1^40*t^6.312 + (4*t^6.872)/g1^42 + (3*t^6.95)/g1^32 + (4*t^7.028)/g1^22 + (8*t^7.106)/g1^12 + (4*t^7.184)/g1^2 + g1^8*t^7.262 + 4*g1^18*t^7.341 + 2*g1^28*t^7.419 + g1^38*t^7.497 + 2*g1^48*t^7.575 + (4*t^8.135)/g1^34 + (2*t^8.213)/g1^24 - (2*t^8.291)/g1^14 + (3*t^8.369)/g1^4 - g1^6*t^8.447 - g1^16*t^8.525 + 3*g1^26*t^8.603 + 2*g1^36*t^8.681 + g1^46*t^8.759 + g1^56*t^8.837 - t^4.184/(g1^2*y) - (2*t^6.475)/(g1^16*y) - t^6.553/(g1^6*y) - (g1^14*t^6.709)/y + t^7.581/(g1^28*y) + (3*t^7.659)/(g1^18*y) + (2*t^7.738)/(g1^8*y) + (4*g1^2*t^7.816)/y + (3*g1^12*t^7.894)/y + (g1^22*t^7.972)/y - (3*t^8.766)/(g1^30*y) + (2*t^8.844)/(g1^20*y) + (3*t^8.922)/(g1^10*y) - (t^4.184*y)/g1^2 - (2*t^6.475*y)/g1^16 - (t^6.553*y)/g1^6 - g1^14*t^6.709*y + (t^7.581*y)/g1^28 + (3*t^7.659*y)/g1^18 + (2*t^7.738*y)/g1^8 + 4*g1^2*t^7.816*y + 3*g1^12*t^7.894*y + g1^22*t^7.972*y - (3*t^8.766*y)/g1^30 + (2*t^8.844*y)/g1^20 + (3*t^8.922*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 |
---|---|---|---|---|---|---|---|---|
55534 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6687 | 0.8494 | 0.7872 | [M:[0.8211, 0.7507, 1.1789, 0.7507, 0.8564, 0.7154], q:[0.8035, 0.3753], qb:[0.4458, 0.8035], phi:[0.393]] | t^2.146 + 2*t^2.252 + t^2.358 + t^2.463 + t^2.569 + 2*t^3.537 + t^3.642 + t^4.293 + 2*t^4.398 + 4*t^4.504 + 3*t^4.61 + 4*t^4.715 + 4*t^4.821 + 2*t^4.927 + t^5.033 + t^5.138 + 2*t^5.683 + 4*t^5.789 + 2*t^5.894 - t^4.179/y - t^4.179*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 |
---|---|---|---|---|---|---|---|---|---|
46466 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6362 | 0.7913 | 0.804 | [M:[0.8273, 0.7364, 1.1727, 0.7364], q:[0.8045, 0.3682], qb:[0.4591, 0.8045], phi:[0.3909]] | 2*t^2.209 + t^2.345 + t^2.482 + t^3.382 + 2*t^3.518 + t^3.655 + t^3.927 + 3*t^4.418 + 2*t^4.555 + 3*t^4.691 + 2*t^4.827 + t^4.964 + 2*t^5.591 + 4*t^5.727 + 3*t^5.864 - t^4.173/y - t^4.173*y | detail |