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 |
---|---|---|---|---|---|---|---|---|---|
55305 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{5}M_{7}$ | 0.6995 | 0.8592 | 0.8142 | [M:[1.0646, 0.9821, 0.9354, 0.9749, 1.0215, 0.9354, 0.9785], q:[0.4874, 0.448], qb:[0.5305, 0.5771], phi:[0.4892]] | [M:[[6, 6], [-16, 4], [-6, -6], [12, -8], [2, 2], [-6, -6], [-2, -2]], q:[[6, -4], [-12, -2]], qb:[[10, 0], [0, 10]], phi:[[-1, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }M_{6}$, ${ }M_{4}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{6}$, ${ }M_{3}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{6}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{7}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{7}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}^{2}$ | ${}$ | -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*t^2.806)/(g1^6*g2^6) + (g1^12*t^2.925)/g2^8 + (2*t^2.935)/(g1^2*g2^2) + (g2^4*t^2.946)/g1^16 + g1^10*g2^10*t^3.323 + t^4.156/(g1^25*g2^5) + t^4.274/(g1^7*g2^7) + (g1^11*t^4.392)/g2^9 + t^4.403/(g1^3*g2^3) + (g1^15*t^4.521)/g2^5 + (g2^7*t^4.543)/g1^13 + (g1^19*t^4.651)/g2 + g1^5*g2^5*t^4.661 + g1^9*g2^9*t^4.79 + (g2^19*t^4.93)/g1 + (2*t^5.613)/(g1^12*g2^12) + (g1^6*t^5.731)/g2^14 + (4*t^5.742)/(g1^8*g2^8) + t^5.753/(g1^22*g2^2) + (g1^24*t^5.849)/g2^16 + (g1^10*t^5.86)/g2^10 + (3*t^5.871)/(g1^4*g2^4) + (g2^2*t^5.882)/g1^18 + (g2^8*t^5.893)/g1^32 - 4*t^6. - (g1^18*t^6.118)/g2^2 - (g2^10*t^6.14)/g1^10 + 2*g1^8*g2^8*t^6.258 - g1^12*g2^12*t^6.387 + g1^20*g2^20*t^6.646 + (2*t^6.962)/(g1^31*g2^11) + (2*t^7.08)/(g1^13*g2^13) + (2*t^7.091)/(g1^27*g2^7) + t^7.102/(g1^41*g2) + (2*g1^5*t^7.199)/g2^15 + (3*t^7.21)/(g1^9*g2^9) - t^7.22/(g1^23*g2^3) + (g1^23*t^7.317)/g2^17 + (3*g1^9*t^7.328)/g2^11 + t^7.339/(g1^5*g2^5) + (g2*t^7.349)/g1^19 + (g1^27*t^7.446)/g2^13 + (2*g1^13*t^7.457)/g2^7 - t^7.468/(g1*g2) + (2*g2^5*t^7.479)/g1^15 + (g2^11*t^7.489)/g1^29 + (g1^31*t^7.575)/g2^9 + (g1^17*t^7.586)/g2^3 + 2*g1^3*g2^3*t^7.597 - (g2^9*t^7.608)/g1^11 - g1^21*g2*t^7.715 + g1^7*g2^7*t^7.726 + (g2^13*t^7.737)/g1^7 - g1^11*g2^11*t^7.855 + (2*g2^17*t^7.866)/g1^3 + (g2^23*t^7.877)/g1^17 + g1^29*g2^9*t^7.973 - g1*g2^21*t^7.995 + g1^19*g2^19*t^8.113 + g1^9*g2^29*t^8.253 + t^8.312/(g1^50*g2^10) + (2*t^8.419)/(g1^18*g2^18) + t^8.43/(g1^32*g2^12) + t^8.537/g2^20 + (5*t^8.548)/(g1^14*g2^14) + t^8.559/(g1^28*g2^8) + (g1^18*t^8.655)/g2^22 + (2*g1^4*t^8.666)/g2^16 + (6*t^8.677)/(g1^10*g2^10) + (2*g2^2*t^8.699)/g1^38 + (g1^36*t^8.774)/g2^24 + (2*g1^22*t^8.785)/g2^18 + (2*g1^8*t^8.795)/g2^12 - (3*t^8.806)/(g1^6*g2^6) + (3*t^8.817)/g1^20 + (g2^6*t^8.828)/g1^34 + (g2^12*t^8.839)/g1^48 + (g1^26*t^8.914)/g2^14 - (4*g1^12*t^8.925)/g2^8 - (8*t^8.935)/(g1^2*g2^2) - (3*g2^4*t^8.946)/g1^16 - t^4.468/(g1*g2*y) - t^7.274/(g1^7*g2^7*y) - (g1^11*t^7.392)/(g2^9*y) - t^7.403/(g1^3*g2^3*y) - (g2^3*t^7.414)/(g1^17*y) + (g1^15*t^7.521)/(g2^5*y) + (g1*g2*t^7.532)/y + (g2^7*t^7.543)/(g1^13*y) + (g1^5*g2^5*t^7.661)/y + t^8.613/(g1^12*g2^12*y) + (2*g1^6*t^8.731)/(g2^14*y) + (4*t^8.742)/(g1^8*g2^8*y) + (2*t^8.753)/(g1^22*g2^2*y) + (2*g1^10*t^8.86)/(g2^10*y) + (2*t^8.871)/(g1^4*g2^4*y) + (2*g2^2*t^8.882)/(g1^18*y) - (t^4.468*y)/(g1*g2) - (t^7.274*y)/(g1^7*g2^7) - (g1^11*t^7.392*y)/g2^9 - (t^7.403*y)/(g1^3*g2^3) - (g2^3*t^7.414*y)/g1^17 + (g1^15*t^7.521*y)/g2^5 + g1*g2*t^7.532*y + (g2^7*t^7.543*y)/g1^13 + g1^5*g2^5*t^7.661*y + (t^8.613*y)/(g1^12*g2^12) + (2*g1^6*t^8.731*y)/g2^14 + (4*t^8.742*y)/(g1^8*g2^8) + (2*t^8.753*y)/(g1^22*g2^2) + (2*g1^10*t^8.86*y)/g2^10 + (2*t^8.871*y)/(g1^4*g2^4) + (2*g2^2*t^8.882*y)/g1^18 |
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 |
---|---|---|---|---|---|---|---|---|
56967 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{5}M_{7}$ + ${ }M_{4}^{2}$ | 0.699 | 0.8584 | 0.8143 | [M:[1.06, 0.96, 0.94, 1.0, 1.02, 0.94, 0.98], q:[0.5, 0.44], qb:[0.54, 0.56], phi:[0.49]] | 2*t^2.82 + t^2.88 + 2*t^2.94 + t^3. + t^3.3 + t^4.11 + t^4.29 + t^4.41 + 2*t^4.47 + t^4.59 + t^4.65 + t^4.71 + t^4.77 + t^4.83 + 2*t^5.64 + t^5.7 + 5*t^5.76 + 2*t^5.82 + 3*t^5.88 + t^5.94 - 3*t^6. - t^4.47/y - t^4.47*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 |
---|---|---|---|---|---|---|---|---|---|
46990 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{1}M_{6}$ | 0.6977 | 0.8557 | 0.8153 | [M:[1.0565, 0.984, 0.9435, 0.9784, 1.0188, 0.9435], q:[0.4892, 0.4543], qb:[0.5269, 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 |