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 |
---|---|---|---|---|---|---|---|---|---|
647 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ | 0.615 | 0.7516 | 0.8183 | [M:[1.1856, 1.2096, 0.7664, 0.8144, 0.8144], q:[0.8024, 0.4312], qb:[0.3832, 0.8024], phi:[0.3952]] | [M:[[-6], [4], [-14], [6], [6]], q:[[1], [13]], qb:[[-7], [1]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }M_{4}$, ${ }M_{5}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ | ${}\phi_{1}\tilde{q}_{2}^{2}$ | 0 | t^2.299 + 2*t^2.443 + t^3.485 + t^3.557 + 2*t^3.629 + t^3.701 + t^3.773 + t^4.599 + 2*t^4.742 + t^4.814 + 3*t^4.886 + t^5.784 + 2*t^5.928 + 3*t^6.072 + t^6.144 + 2*t^6.216 + t^6.898 + t^6.97 + 2*t^7.042 + t^7.114 + 2*t^7.186 + 2*t^7.258 + 4*t^7.33 + 2*t^7.401 + t^7.473 + t^7.545 + t^8.083 + 2*t^8.227 - 2*t^8.299 + 2*t^8.371 - 2*t^8.443 + 3*t^8.515 + t^8.587 + 3*t^8.659 - t^4.186/y - t^6.485/y - t^6.629/y + (3*t^7.742)/y + (2*t^7.886)/y + t^8.856/y + (3*t^8.928)/y - t^4.186*y - t^6.485*y - t^6.629*y + 3*t^7.742*y + 2*t^7.886*y + t^8.856*y + 3*t^8.928*y | t^2.299/g1^14 + 2*g1^6*t^2.443 + t^3.485/g1^16 + t^3.557/g1^6 + 2*g1^4*t^3.629 + g1^14*t^3.701 + g1^24*t^3.773 + t^4.599/g1^28 + (2*t^4.742)/g1^8 + g1^2*t^4.814 + 3*g1^12*t^4.886 + t^5.784/g1^30 + (2*t^5.928)/g1^10 + 3*g1^10*t^6.072 + g1^20*t^6.144 + 2*g1^30*t^6.216 + t^6.898/g1^42 + t^6.97/g1^32 + (2*t^7.042)/g1^22 + t^7.114/g1^12 + (2*t^7.186)/g1^2 + 2*g1^8*t^7.258 + 4*g1^18*t^7.33 + 2*g1^28*t^7.401 + g1^38*t^7.473 + g1^48*t^7.545 + t^8.083/g1^44 + (2*t^8.227)/g1^24 - (2*t^8.299)/g1^14 + (2*t^8.371)/g1^4 - 2*g1^6*t^8.443 + 3*g1^16*t^8.515 + g1^26*t^8.587 + 3*g1^36*t^8.659 - t^4.186/(g1^2*y) - t^6.485/(g1^16*y) - (g1^4*t^6.629)/y + (3*t^7.742)/(g1^8*y) + (2*g1^12*t^7.886)/y + t^8.856/(g1^20*y) + (3*t^8.928)/(g1^10*y) - (t^4.186*y)/g1^2 - (t^6.485*y)/g1^16 - g1^4*t^6.629*y + (3*t^7.742*y)/g1^8 + 2*g1^12*t^7.886*y + (t^8.856*y)/g1^20 + (3*t^8.928*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 |
---|---|---|---|---|---|---|---|---|
1030 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{4}M_{6}$ | 0.5996 | 0.7246 | 0.8275 | [M:[1.1811, 1.2126, 0.7558, 0.8189, 0.8189, 1.1811], q:[0.8032, 0.4411], qb:[0.3779, 0.8032], phi:[0.3937]] | t^2.267 + t^2.457 + t^3.448 + 2*t^3.543 + 2*t^3.638 + t^3.733 + t^3.827 + t^4.535 + t^4.724 + t^4.819 + t^4.914 + t^5.716 + t^5.811 + t^5.905 - t^4.181/y - t^4.181*y | detail | |
1961 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ | 0.6349 | 0.7889 | 0.8048 | [M:[1.1787, 1.2142, 0.7503, 0.8213, 0.8213, 0.7147], q:[0.8036, 0.4462], qb:[0.3751, 0.8036], phi:[0.3929]] | t^2.144 + t^2.251 + 2*t^2.464 + t^3.429 + t^3.536 + 2*t^3.643 + t^3.749 + t^4.288 + t^4.395 + t^4.502 + 2*t^4.608 + 2*t^4.715 + t^4.821 + 3*t^4.928 + t^5.574 + 2*t^5.68 + 2*t^5.787 + 3*t^5.893 - t^4.179/y - t^4.179*y | detail | |
1031 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6301 | 0.7794 | 0.8084 | [M:[1.1971, 1.202, 0.7931, 0.8029, 0.8029, 0.8078], q:[0.8005, 0.4064], qb:[0.3966, 0.8005], phi:[0.399]] | t^2.379 + 2*t^2.409 + t^2.424 + t^3.591 + 2*t^3.606 + t^3.621 + t^3.635 + t^4.759 + 2*t^4.788 + 2*t^4.803 + 3*t^4.818 + 2*t^4.832 + t^4.847 - t^4.197/y - t^4.197*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 |
---|---|---|---|---|---|---|---|---|---|
400 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ | 0.6814 | 0.8225 | 0.8284 | [M:[1.0, 1.1613, 0.9353, 1.0, 0.742], q:[0.7903, 0.5323], qb:[0.4677, 0.5323], phi:[0.4193]] | t^2.226 + t^2.806 + 2*t^3. + t^3.484 + 2*t^3.968 + t^4.064 + 2*t^4.258 + 4*t^4.452 + t^5.032 + 2*t^5.226 + t^5.612 + t^5.71 - 2*t^6. - t^4.258/y - t^4.258*y | detail |