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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1573 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{3}M_{7}$ | 0.6995 | 0.8592 | 0.8142 | [M:[0.9821, 0.9749, 1.0215, 0.9354, 1.0646, 0.9354, 0.9785], q:[0.5305, 0.4874], qb:[0.448, 0.5771], phi:[0.4892]] | [M:[[16, 8], [-12, -12], [-2, 2], [6, -6], [-6, 6], [6, -6], [2, -2]], q:[[-10, -2], [-6, -6]], qb:[[12, 0], [0, 12]], phi:[[1, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}M_{4}$, ${ }M_{6}$, ${ }M_{2}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{6}$, ${ }M_{4}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{6}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{7}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{7}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{7}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}^{2}$ | ${}$ | -4 | 2*t^2.806 + t^2.925 + 2*t^2.935 + t^2.946 + t^3.323 + t^4.156 + t^4.274 + t^4.392 + t^4.403 + t^4.521 + t^4.543 + t^4.651 + t^4.661 + t^4.79 + t^4.93 + 2*t^5.613 + t^5.731 + 4*t^5.742 + t^5.753 + t^5.849 + t^5.86 + 3*t^5.871 + t^5.882 + t^5.893 - 4*t^6. - t^6.118 - t^6.14 + 2*t^6.258 - t^6.387 + t^6.646 + 2*t^6.962 + 2*t^7.08 + 2*t^7.091 + t^7.102 + 2*t^7.199 + 3*t^7.21 - t^7.22 + t^7.317 + 3*t^7.328 + t^7.339 + t^7.349 + t^7.446 + 2*t^7.457 - t^7.468 + 2*t^7.479 + t^7.489 + t^7.575 + t^7.586 + 2*t^7.597 - t^7.608 - t^7.715 + t^7.726 + t^7.737 - t^7.855 + 2*t^7.866 + t^7.877 + t^7.973 - t^7.995 + t^8.113 + t^8.253 + t^8.312 + 2*t^8.419 + t^8.43 + t^8.537 + 5*t^8.548 + t^8.559 + t^8.655 + 2*t^8.666 + 6*t^8.677 + 2*t^8.699 + t^8.774 + 2*t^8.785 + 2*t^8.795 - 3*t^8.806 + 3*t^8.817 + t^8.828 + t^8.839 + t^8.914 - 4*t^8.925 - 8*t^8.935 - 3*t^8.946 - t^4.468/y - t^7.274/y - t^7.392/y - t^7.403/y - t^7.414/y + t^7.521/y + t^7.532/y + t^7.543/y + t^7.661/y + t^8.613/y + (2*t^8.731)/y + (4*t^8.742)/y + (2*t^8.753)/y + (2*t^8.86)/y + (2*t^8.871)/y + (2*t^8.882)/y - t^4.468*y - t^7.274*y - t^7.392*y - t^7.403*y - t^7.414*y + t^7.521*y + t^7.532*y + t^7.543*y + t^7.661*y + t^8.613*y + 2*t^8.731*y + 4*t^8.742*y + 2*t^8.753*y + 2*t^8.86*y + 2*t^8.871*y + 2*t^8.882*y | (2*g1^6*t^2.806)/g2^6 + t^2.925/(g1^12*g2^12) + (2*g1^2*t^2.935)/g2^2 + g1^16*g2^8*t^2.946 + (g2^10*t^3.323)/g1^10 + (g1^25*t^4.156)/g2 + (g1^7*t^4.274)/g2^7 + t^4.392/(g1^11*g2^13) + (g1^3*t^4.403)/g2^3 + t^4.521/(g1^15*g2^9) + g1^13*g2^11*t^4.543 + t^4.651/(g1^19*g2^5) + (g2^5*t^4.661)/g1^5 + (g2^9*t^4.79)/g1^9 + g1*g2^23*t^4.93 + (2*g1^12*t^5.613)/g2^12 + t^5.731/(g1^6*g2^18) + (4*g1^8*t^5.742)/g2^8 + g1^22*g2^2*t^5.753 + t^5.849/(g1^24*g2^24) + t^5.86/(g1^10*g2^14) + (3*g1^4*t^5.871)/g2^4 + g1^18*g2^6*t^5.882 + g1^32*g2^16*t^5.893 - 4*t^6. - t^6.118/(g1^18*g2^6) - g1^10*g2^14*t^6.14 + (2*g2^8*t^6.258)/g1^8 - (g2^12*t^6.387)/g1^12 + (g2^20*t^6.646)/g1^20 + (2*g1^31*t^6.962)/g2^7 + (2*g1^13*t^7.08)/g2^13 + (2*g1^27*t^7.091)/g2^3 + g1^41*g2^7*t^7.102 + (2*t^7.199)/(g1^5*g2^19) + (3*g1^9*t^7.21)/g2^9 - g1^23*g2*t^7.22 + t^7.317/(g1^23*g2^25) + (3*t^7.328)/(g1^9*g2^15) + (g1^5*t^7.339)/g2^5 + g1^19*g2^5*t^7.349 + t^7.446/(g1^27*g2^21) + (2*t^7.457)/(g1^13*g2^11) - (g1*t^7.468)/g2 + 2*g1^15*g2^9*t^7.479 + g1^29*g2^19*t^7.489 + t^7.575/(g1^31*g2^17) + t^7.586/(g1^17*g2^7) + (2*g2^3*t^7.597)/g1^3 - g1^11*g2^13*t^7.608 - t^7.715/(g1^21*g2^3) + (g2^7*t^7.726)/g1^7 + g1^7*g2^17*t^7.737 - (g2^11*t^7.855)/g1^11 + 2*g1^3*g2^21*t^7.866 + g1^17*g2^31*t^7.877 + (g2^5*t^7.973)/g1^29 - (g2^25*t^7.995)/g1 + (g2^19*t^8.113)/g1^19 + (g2^33*t^8.253)/g1^9 + (g1^50*t^8.312)/g2^2 + (2*g1^18*t^8.419)/g2^18 + (g1^32*t^8.43)/g2^8 + t^8.537/g2^24 + (5*g1^14*t^8.548)/g2^14 + (g1^28*t^8.559)/g2^4 + t^8.655/(g1^18*g2^30) + (2*t^8.666)/(g1^4*g2^20) + (6*g1^10*t^8.677)/g2^10 + 2*g1^38*g2^10*t^8.699 + t^8.774/(g1^36*g2^36) + (2*t^8.785)/(g1^22*g2^26) + (2*t^8.795)/(g1^8*g2^16) - (3*g1^6*t^8.806)/g2^6 + 3*g1^20*g2^4*t^8.817 + g1^34*g2^14*t^8.828 + g1^48*g2^24*t^8.839 + t^8.914/(g1^26*g2^22) - (4*t^8.925)/(g1^12*g2^12) - (8*g1^2*t^8.935)/g2^2 - 3*g1^16*g2^8*t^8.946 - (g1*t^4.468)/(g2*y) - (g1^7*t^7.274)/(g2^7*y) - t^7.392/(g1^11*g2^13*y) - (g1^3*t^7.403)/(g2^3*y) - (g1^17*g2^7*t^7.414)/y + t^7.521/(g1^15*g2^9*y) + (g2*t^7.532)/(g1*y) + (g1^13*g2^11*t^7.543)/y + (g2^5*t^7.661)/(g1^5*y) + (g1^12*t^8.613)/(g2^12*y) + (2*t^8.731)/(g1^6*g2^18*y) + (4*g1^8*t^8.742)/(g2^8*y) + (2*g1^22*g2^2*t^8.753)/y + (2*t^8.86)/(g1^10*g2^14*y) + (2*g1^4*t^8.871)/(g2^4*y) + (2*g1^18*g2^6*t^8.882)/y - (g1*t^4.468*y)/g2 - (g1^7*t^7.274*y)/g2^7 - (t^7.392*y)/(g1^11*g2^13) - (g1^3*t^7.403*y)/g2^3 - g1^17*g2^7*t^7.414*y + (t^7.521*y)/(g1^15*g2^9) + (g2*t^7.532*y)/g1 + g1^13*g2^11*t^7.543*y + (g2^5*t^7.661*y)/g1^5 + (g1^12*t^8.613*y)/g2^12 + (2*t^8.731*y)/(g1^6*g2^18) + (4*g1^8*t^8.742*y)/g2^8 + 2*g1^22*g2^2*t^8.753*y + (2*t^8.86*y)/(g1^10*g2^14) + (2*g1^4*t^8.871*y)/g2^4 + 2*g1^18*g2^6*t^8.882*y |
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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
996 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{5}M_{6}$ | 0.6977 | 0.8557 | 0.8153 | [M:[0.984, 0.9784, 1.0188, 0.9435, 1.0565, 0.9435], q:[0.5269, 0.4892], qb:[0.4543, 0.5673], phi:[0.4906]] | 2*t^2.831 + t^2.935 + t^2.944 + t^2.952 + t^3.056 + t^3.282 + t^4.198 + t^4.302 + t^4.407 + t^4.415 + t^4.52 + t^4.537 + t^4.633 + t^4.641 + t^4.754 + t^4.875 + 2*t^5.661 + t^5.766 + 2*t^5.774 + t^5.782 + t^5.87 + 3*t^5.887 + t^5.904 + t^5.992 - 3*t^6. - t^4.472/y - t^4.472*y | detail |