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 |
---|---|---|---|---|---|---|---|---|---|
1058 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ | 0.7198 | 0.9129 | 0.7884 | [M:[0.9768, 1.1237, 0.9666, 0.6855, 0.8763, 0.7758, 0.6958], q:[0.7809, 0.433], qb:[0.5902, 0.4433], phi:[0.4382]] | [M:[[-7, 1], [4, 0], [-11, -1], [6, 0], [-4, 0], [-1, -1], [10, 2]], q:[[1, 0], [-4, -1]], qb:[[11, 0], [0, 1]], phi:[[-2, 0]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{7}$, ${ }M_{6}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{4}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{5}M_{6}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{7}$, ${ }M_{1}M_{7}$, ${ }M_{3}M_{6}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{3}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{4}q_{1}q_{2}$, ${ }M_{7}q_{1}q_{2}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}^{2}$ | ${}$ | -3 | t^2.057 + t^2.087 + t^2.327 + 2*t^2.629 + t^2.9 + t^2.93 + t^3.642 + t^3.974 + 2*t^4.113 + t^4.144 + t^4.175 + 2*t^4.384 + 2*t^4.415 + t^4.655 + 2*t^4.686 + 2*t^4.716 + t^4.855 + 3*t^4.956 + 2*t^4.987 + t^5.018 + t^5.227 + 4*t^5.258 + t^5.529 + t^5.559 + t^5.698 + t^5.729 + t^5.799 + t^5.83 + t^5.861 - 3*t^6. + t^6.062 + 2*t^6.17 + 2*t^6.201 + t^6.232 + t^6.262 + t^6.271 + 2*t^6.441 + 2*t^6.471 + 2*t^6.502 + t^6.541 + 2*t^6.603 + 2*t^6.711 + 4*t^6.742 + 2*t^6.773 + 2*t^6.804 - t^6.843 + t^6.905 + t^6.912 + t^6.943 + t^6.982 + 4*t^7.013 + 5*t^7.044 + 2*t^7.075 + t^7.105 + t^7.183 + 3*t^7.284 + 4*t^7.314 + 3*t^7.345 + t^7.484 + t^7.554 + 4*t^7.585 + 2*t^7.616 + t^7.647 + t^7.755 + t^7.817 + 2*t^7.856 + 6*t^7.887 + 2*t^7.918 + 2*t^7.948 - 4*t^8.057 - 3*t^8.087 + t^8.127 + t^8.149 + 2*t^8.157 + 2*t^8.188 + 2*t^8.226 + 2*t^8.257 + 2*t^8.288 + t^8.319 - 4*t^8.327 + t^8.35 - t^8.358 + t^8.389 + t^8.428 + t^8.459 + t^8.49 + 3*t^8.497 + 2*t^8.528 + 2*t^8.559 + 2*t^8.59 - 5*t^8.629 + 2*t^8.691 + t^8.699 + t^8.73 + t^8.761 + 2*t^8.768 + t^8.791 + 3*t^8.799 + 5*t^8.83 + 2*t^8.86 + 2*t^8.891 - 3*t^8.9 - 4*t^8.93 + 2*t^8.969 + t^8.992 + t^8.999 - t^4.314/y - t^6.371/y - t^6.402/y - t^6.642/y - t^6.943/y + t^7.144/y - t^7.214/y - t^7.245/y + (2*t^7.384)/y + (2*t^7.415)/y + (3*t^7.686)/y + (2*t^7.716)/y + (3*t^7.956)/y + (3*t^7.987)/y + t^8.018/y + (2*t^8.227)/y + (3*t^8.258)/y - t^8.428/y - t^8.459/y - t^8.489/y + (2*t^8.529)/y + (2*t^8.559)/y + t^8.83/y - t^4.314*y - t^6.371*y - t^6.402*y - t^6.642*y - t^6.943*y + t^7.144*y - t^7.214*y - t^7.245*y + 2*t^7.384*y + 2*t^7.415*y + 3*t^7.686*y + 2*t^7.716*y + 3*t^7.956*y + 3*t^7.987*y + t^8.018*y + 2*t^8.227*y + 3*t^8.258*y - t^8.428*y - t^8.459*y - t^8.489*y + 2*t^8.529*y + 2*t^8.559*y + t^8.83*y | g1^6*t^2.057 + g1^10*g2^2*t^2.087 + t^2.327/(g1*g2) + (2*t^2.629)/g1^4 + t^2.9/(g1^11*g2) + (g2*t^2.93)/g1^7 + t^3.642/(g1^3*g2) + (g2^2*t^3.974)/g1^2 + 2*g1^12*t^4.113 + g1^16*g2^2*t^4.144 + g1^20*g2^4*t^4.175 + (2*g1^5*t^4.384)/g2 + 2*g1^9*g2*t^4.415 + t^4.655/(g1^2*g2^2) + 2*g1^2*t^4.686 + 2*g1^6*g2^2*t^4.716 + g1^20*t^4.855 + (3*t^4.956)/(g1^5*g2) + (2*g2*t^4.987)/g1 + g1^3*g2^3*t^5.018 + t^5.227/(g1^12*g2^2) + (4*t^5.258)/g1^8 + t^5.529/(g1^15*g2) + (g2*t^5.559)/g1^11 + (g1^3*t^5.698)/g2 + g1^7*g2*t^5.729 + t^5.799/(g1^22*g2^2) + t^5.83/g1^18 + (g2^2*t^5.861)/g1^14 - 3*t^6. + g1^8*g2^4*t^6.062 + 2*g1^18*t^6.17 + 2*g1^22*g2^2*t^6.201 + g1^26*g2^4*t^6.232 + g1^30*g2^6*t^6.262 + t^6.271/(g1^7*g2) + (2*g1^11*t^6.441)/g2 + 2*g1^15*g2*t^6.471 + 2*g1^19*g2^3*t^6.502 + t^6.541/(g1^14*g2^2) + (2*g2^2*t^6.603)/g1^6 + (2*g1^4*t^6.711)/g2^2 + 4*g1^8*t^6.742 + 2*g1^12*g2^2*t^6.773 + 2*g1^16*g2^4*t^6.804 - t^6.843/(g1^17*g2) + (g2^3*t^6.905)/g1^9 + g1^26*t^6.912 + g1^30*g2^2*t^6.943 + t^6.982/(g1^3*g2^3) + (4*g1*t^7.013)/g2 + 5*g1^5*g2*t^7.044 + 2*g1^9*g2^3*t^7.075 + g1^13*g2^5*t^7.105 + (g1^19*t^7.183)/g2 + (3*t^7.284)/(g1^6*g2^2) + (4*t^7.314)/g1^2 + 3*g1^2*g2^2*t^7.345 + g1^16*t^7.484 + t^7.554/(g1^13*g2^3) + (4*t^7.585)/(g1^9*g2) + (2*g2*t^7.616)/g1^5 + (g2^3*t^7.647)/g1 + (g1^9*t^7.755)/g2 + g1^17*g2^3*t^7.817 + (2*t^7.856)/(g1^16*g2^2) + (6*t^7.887)/g1^12 + (2*g2^2*t^7.918)/g1^8 + (2*g2^4*t^7.948)/g1^4 - 4*g1^6*t^8.057 - 3*g1^10*g2^2*t^8.087 + t^8.127/(g1^23*g2^3) + g1^18*g2^6*t^8.149 + (2*t^8.157)/(g1^19*g2) + (2*g2*t^8.188)/g1^15 + 2*g1^24*t^8.226 + 2*g1^28*g2^2*t^8.257 + 2*g1^32*g2^4*t^8.288 + g1^36*g2^6*t^8.319 - (4*t^8.327)/(g1*g2) + g1^40*g2^8*t^8.35 - g1^3*g2*t^8.358 + g1^7*g2^3*t^8.389 + t^8.428/(g1^26*g2^2) + t^8.459/g1^22 + (g2^2*t^8.49)/g1^18 + (3*g1^17*t^8.497)/g2 + 2*g1^21*g2*t^8.528 + 2*g1^25*g2^3*t^8.559 + 2*g1^29*g2^5*t^8.59 - (5*t^8.629)/g1^4 + 2*g1^4*g2^4*t^8.691 + t^8.699/(g1^33*g2^3) + t^8.73/(g1^29*g2) + (g2*t^8.761)/g1^25 + (2*g1^10*t^8.768)/g2^2 + (g2^3*t^8.791)/g1^21 + 3*g1^14*t^8.799 + 5*g1^18*g2^2*t^8.83 + 2*g1^22*g2^4*t^8.86 + 2*g1^26*g2^6*t^8.891 - (3*t^8.9)/(g1^11*g2) - (4*g2*t^8.93)/g1^7 + 2*g1^32*t^8.969 + g1*g2^5*t^8.992 + g1^36*g2^2*t^8.999 - t^4.314/(g1^2*y) - (g1^4*t^6.371)/y - (g1^8*g2^2*t^6.402)/y - t^6.642/(g1^3*g2*y) - t^6.943/(g1^6*y) + (g1^16*g2^2*t^7.144)/y - t^7.214/(g1^13*g2*y) - (g2*t^7.245)/(g1^9*y) + (2*g1^5*t^7.384)/(g2*y) + (2*g1^9*g2*t^7.415)/y + (3*g1^2*t^7.686)/y + (2*g1^6*g2^2*t^7.716)/y + (3*t^7.956)/(g1^5*g2*y) + (3*g2*t^7.987)/(g1*y) + (g1^3*g2^3*t^8.018)/y + (2*t^8.227)/(g1^12*g2^2*y) + (3*t^8.258)/(g1^8*y) - (g1^10*t^8.428)/y - (g1^14*g2^2*t^8.459)/y - (g1^18*g2^4*t^8.489)/y + (2*t^8.529)/(g1^15*g2*y) + (2*g2*t^8.559)/(g1^11*y) + t^8.83/(g1^18*y) - (t^4.314*y)/g1^2 - g1^4*t^6.371*y - g1^8*g2^2*t^6.402*y - (t^6.642*y)/(g1^3*g2) - (t^6.943*y)/g1^6 + g1^16*g2^2*t^7.144*y - (t^7.214*y)/(g1^13*g2) - (g2*t^7.245*y)/g1^9 + (2*g1^5*t^7.384*y)/g2 + 2*g1^9*g2*t^7.415*y + 3*g1^2*t^7.686*y + 2*g1^6*g2^2*t^7.716*y + (3*t^7.956*y)/(g1^5*g2) + (3*g2*t^7.987*y)/g1 + g1^3*g2^3*t^8.018*y + (2*t^8.227*y)/(g1^12*g2^2) + (3*t^8.258*y)/g1^8 - g1^10*t^8.428*y - g1^14*g2^2*t^8.459*y - g1^18*g2^4*t^8.489*y + (2*t^8.529*y)/(g1^15*g2) + (2*g2*t^8.559*y)/g1^11 + (t^8.83*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 |
---|---|---|---|---|---|---|---|---|
1646 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{8}\phi_{1}\tilde{q}_{2}^{2}$ | 0.7406 | 0.9542 | 0.7762 | [M:[0.9789, 1.1233, 0.9664, 0.6849, 0.8767, 0.7746, 0.6974, 0.6724], q:[0.7808, 0.4321], qb:[0.589, 0.4446], phi:[0.4384]] | t^2.017 + t^2.055 + t^2.092 + t^2.324 + 2*t^2.63 + t^2.899 + t^2.937 + t^3.639 + t^4.034 + t^4.072 + 3*t^4.109 + t^4.147 + t^4.184 + t^4.341 + 2*t^4.378 + 2*t^4.416 + 3*t^4.647 + 2*t^4.685 + 2*t^4.722 + t^4.849 + t^4.916 + 4*t^4.954 + 2*t^4.991 + t^5.029 + t^5.223 + 4*t^5.26 + t^5.529 + t^5.567 + t^5.656 + t^5.693 + t^5.731 + t^5.798 + t^5.836 + t^5.873 - 3*t^6. - t^4.315/y - t^4.315*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 |
---|---|---|---|---|---|---|---|---|---|
662 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.6993 | 0.8739 | 0.8002 | [M:[0.9803, 1.1254, 0.9554, 0.6881, 0.8746, 0.7689], q:[0.7813, 0.4248], qb:[0.5948, 0.4498], phi:[0.4373]] | t^2.064 + t^2.307 + 2*t^2.624 + t^2.866 + t^2.941 + t^3.619 + t^3.861 + t^4.01 + 2*t^4.129 + 2*t^4.371 + t^4.446 + t^4.613 + 2*t^4.688 + t^4.881 + 3*t^4.93 + t^5.005 + t^5.173 + 4*t^5.248 + t^5.49 + t^5.565 + t^5.683 + t^5.732 + t^5.807 + t^5.882 + t^5.925 - 3*t^6. - t^4.312/y - t^4.312*y | detail |