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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737 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6467 | 0.8082 | 0.8002 | [M:[1.1947, 0.7877, 0.8053, 0.8053, 0.814], q:[0.8009, 0.4114], qb:[0.3939, 0.8009], phi:[0.3982]] | [M:[[-6], [-14], [6], [6], [16]], q:[[1], [13]], qb:[[-7], [1]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{4}$, ${ }M_{5}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}M_{5}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$ | ${}\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$ | 1 | t^2.363 + t^2.389 + 2*t^2.416 + t^2.442 + t^3.584 + t^3.611 + t^3.637 + t^3.663 + t^4.726 + t^4.753 + 3*t^4.779 + 4*t^4.805 + 4*t^4.832 + 2*t^4.858 + t^4.884 + t^6. + 3*t^6.026 + 3*t^6.053 + 3*t^6.079 + t^6.105 + t^7.09 + t^7.116 + 2*t^7.142 + 3*t^7.168 + 4*t^7.195 + 5*t^7.221 + 7*t^7.247 + 5*t^7.274 + 3*t^7.3 + 2*t^7.326 - t^8.337 - 3*t^8.363 - 2*t^8.389 - t^8.416 + 3*t^8.442 + 6*t^8.468 + 6*t^8.495 + 3*t^8.521 + t^8.547 - t^4.195/y - t^6.558/y - t^6.584/y - t^6.611/y - t^6.637/y + (2*t^7.753)/y + (3*t^7.779)/y + (4*t^7.805)/y + (3*t^7.832)/y + (2*t^7.858)/y - t^8.921/y - t^4.195*y - t^6.558*y - t^6.584*y - t^6.611*y - t^6.637*y + 2*t^7.753*y + 3*t^7.779*y + 4*t^7.805*y + 3*t^7.832*y + 2*t^7.858*y - t^8.921*y | t^2.363/g1^14 + t^2.389/g1^4 + 2*g1^6*t^2.416 + g1^16*t^2.442 + t^3.584/g1^6 + g1^4*t^3.611 + g1^14*t^3.637 + g1^24*t^3.663 + t^4.726/g1^28 + t^4.753/g1^18 + (3*t^4.779)/g1^8 + 4*g1^2*t^4.805 + 4*g1^12*t^4.832 + 2*g1^22*t^4.858 + g1^32*t^4.884 + t^6. + 3*g1^10*t^6.026 + 3*g1^20*t^6.053 + 3*g1^30*t^6.079 + g1^40*t^6.105 + t^7.09/g1^42 + t^7.116/g1^32 + (2*t^7.142)/g1^22 + (3*t^7.168)/g1^12 + (4*t^7.195)/g1^2 + 5*g1^8*t^7.221 + 7*g1^18*t^7.247 + 5*g1^28*t^7.274 + 3*g1^38*t^7.3 + 2*g1^48*t^7.326 - t^8.337/g1^24 - (3*t^8.363)/g1^14 - (2*t^8.389)/g1^4 - g1^6*t^8.416 + 3*g1^16*t^8.442 + 6*g1^26*t^8.468 + 6*g1^36*t^8.495 + 3*g1^46*t^8.521 + g1^56*t^8.547 - t^4.195/(g1^2*y) - t^6.558/(g1^16*y) - t^6.584/(g1^6*y) - (g1^4*t^6.611)/y - (g1^14*t^6.637)/y + (2*t^7.753)/(g1^18*y) + (3*t^7.779)/(g1^8*y) + (4*g1^2*t^7.805)/y + (3*g1^12*t^7.832)/y + (2*g1^22*t^7.858)/y - t^8.921/(g1^30*y) - (t^4.195*y)/g1^2 - (t^6.558*y)/g1^16 - (t^6.584*y)/g1^6 - g1^4*t^6.611*y - g1^14*t^6.637*y + (2*t^7.753*y)/g1^18 + (3*t^7.779*y)/g1^8 + 4*g1^2*t^7.805*y + 3*g1^12*t^7.832*y + 2*g1^22*t^7.858*y - (t^8.921*y)/g1^30 |
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 |
---|---|---|---|---|---|---|---|---|
1209 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{6}$ | 0.6301 | 0.7812 | 0.8066 | [M:[1.2032, 0.8075, 0.7968, 0.7968, 0.7914, 1.1925], q:[0.7995, 0.393], qb:[0.4038, 0.7995], phi:[0.4011]] | t^2.374 + 2*t^2.39 + t^2.406 + t^3.561 + 2*t^3.577 + t^3.594 + t^3.61 + t^4.748 + 2*t^4.764 + 4*t^4.781 + 3*t^4.797 + t^4.813 + t^5.935 + 4*t^5.952 + 5*t^5.968 + 3*t^5.984 - t^4.203/y - t^4.203*y | detail | |
1210 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6635 | 0.8374 | 0.7923 | [M:[1.1924, 0.7824, 0.8076, 0.8076, 0.8201, 0.795], q:[0.8013, 0.4164], qb:[0.3912, 0.8013], phi:[0.3975]] | t^2.347 + 2*t^2.385 + 2*t^2.423 + t^2.46 + t^3.577 + t^3.653 + t^3.691 + t^4.694 + 2*t^4.732 + 5*t^4.77 + 6*t^4.808 + 5*t^4.845 + 2*t^4.883 + t^4.921 - t^4.192/y - t^4.192*y | detail | |
1211 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ | 0.6654 | 0.8413 | 0.7909 | [M:[1.1857, 0.7667, 0.8143, 0.8143, 0.8381, 0.7428], q:[0.8024, 0.431], qb:[0.3833, 0.8024], phi:[0.3952]] | t^2.229 + t^2.3 + t^2.371 + 2*t^2.443 + t^2.514 + t^3.557 + t^3.629 + t^3.7 + t^4.457 + t^4.528 + 2*t^4.6 + 3*t^4.671 + 4*t^4.743 + 4*t^4.814 + 4*t^4.886 + 2*t^4.957 + t^5.029 + t^5.786 + t^5.857 + t^5.929 + t^6. - t^4.186/y - t^4.186*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 |