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 |
---|---|---|---|---|---|---|---|---|---|
46838 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{4}M_{6}$ | 0.6951 | 0.8535 | 0.8144 | [M:[1.0236, 0.9385, 0.9764, 1.0457, 1.0079, 0.9543], q:[0.5229, 0.4535], qb:[0.5386, 0.5008], phi:[0.4961]] | [M:[[6, 6], [-16, 4], [-6, -6], [12, -8], [2, 2], [-12, 8]], 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 |
---|---|---|---|---|
${}M_{2}$, ${ }M_{6}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{5}M_{6}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$ | ${}$ | -2 | t^2.816 + t^2.863 + t^2.929 + t^2.976 + t^3.024 + t^3.071 + t^3.118 + t^4.209 + t^4.351 + t^4.417 + t^4.465 + t^4.493 + t^4.559 + t^4.606 + t^4.625 + t^4.673 + t^4.72 + t^5.631 + t^5.678 + t^5.726 + t^5.792 + 2*t^5.839 + t^5.886 + t^5.906 + t^5.934 + t^5.953 + t^5.981 - 2*t^6. + t^6.047 - t^6.066 + 2*t^6.094 - t^6.114 + t^6.142 + t^6.189 - t^6.208 + t^6.236 - t^6.255 + t^7.025 + t^7.072 + t^7.138 + t^7.167 + t^7.186 + t^7.214 + 2*t^7.28 + t^7.308 + 2*t^7.327 + t^7.356 + t^7.394 + 2*t^7.422 + t^7.441 + 2*t^7.469 + 2*t^7.535 + t^7.564 + 2*t^7.583 + t^7.611 + t^7.649 + t^7.677 + t^7.696 + t^7.724 + t^7.791 + t^7.838 + t^8.419 + t^8.447 + t^8.494 + t^8.541 + t^8.56 + t^8.589 + t^8.627 + 2*t^8.655 + 3*t^8.702 - t^8.721 + t^8.749 + 2*t^8.768 + t^8.797 - t^8.816 + t^8.835 + 2*t^8.844 - 3*t^8.863 + t^8.882 + 2*t^8.91 - 2*t^8.929 + 2*t^8.957 - 3*t^8.976 + t^8.986 - t^4.488/y - t^7.304/y + t^7.673/y + t^8.678/y + t^8.745/y + (2*t^8.792)/y + (2*t^8.839)/y + (2*t^8.886)/y + t^8.906/y + (2*t^8.934)/y + t^8.953/y + t^8.981/y - t^4.488*y - t^7.304*y + t^7.673*y + t^8.678*y + t^8.745*y + 2*t^8.792*y + 2*t^8.839*y + 2*t^8.886*y + t^8.906*y + 2*t^8.934*y + t^8.953*y + t^8.981*y | (g2^4*t^2.816)/g1^16 + (g2^8*t^2.863)/g1^12 + t^2.929/(g1^6*g2^6) + t^2.976/(g1^2*g2^2) + g1^2*g2^2*t^3.024 + g1^6*g2^6*t^3.071 + g1^10*g2^10*t^3.118 + t^4.209/(g1^25*g2^5) + (g2^7*t^4.351)/g1^13 + t^4.417/(g1^7*g2^7) + t^4.465/(g1^3*g2^3) + (g2^19*t^4.493)/g1 + g1^5*g2^5*t^4.559 + g1^9*g2^9*t^4.606 + (g1^11*t^4.625)/g2^9 + (g1^15*t^4.673)/g2^5 + (g1^19*t^4.72)/g2 + (g2^8*t^5.631)/g1^32 + (g2^12*t^5.678)/g1^28 + (g2^16*t^5.726)/g1^24 + (g2^2*t^5.792)/g1^18 + (2*g2^6*t^5.839)/g1^14 + (g2^10*t^5.886)/g1^10 + t^5.906/(g1^8*g2^8) + (g2^14*t^5.934)/g1^6 + t^5.953/(g1^4*g2^4) + (g2^18*t^5.981)/g1^2 - 2*t^6. + g1^4*g2^4*t^6.047 - (g1^6*t^6.066)/g2^14 + 2*g1^8*g2^8*t^6.094 - (g1^10*t^6.114)/g2^10 + g1^12*g2^12*t^6.142 + g1^16*g2^16*t^6.189 - (g1^18*t^6.208)/g2^2 + g1^20*g2^20*t^6.236 - g1^22*g2^2*t^6.255 + t^7.025/(g1^41*g2) + (g2^3*t^7.072)/g1^37 + t^7.138/(g1^31*g2^11) + (g2^11*t^7.167)/g1^29 + t^7.186/(g1^27*g2^7) + (g2^15*t^7.214)/g1^25 + (2*g2*t^7.28)/g1^19 + (g2^23*t^7.308)/g1^17 + (2*g2^5*t^7.327)/g1^15 + (g2^27*t^7.356)/g1^13 + t^7.394/(g1^9*g2^9) + (2*g2^13*t^7.422)/g1^7 + t^7.441/(g1^5*g2^5) + (2*g2^17*t^7.469)/g1^3 + 2*g1^3*g2^3*t^7.535 + g1^5*g2^25*t^7.564 + 2*g1^7*g2^7*t^7.583 + g1^9*g2^29*t^7.611 + (g1^13*t^7.649)/g2^7 + g1^15*g2^15*t^7.677 + (g1^17*t^7.696)/g2^3 + g1^19*g2^19*t^7.724 + g1^25*g2^5*t^7.791 + g1^29*g2^9*t^7.838 + t^8.419/(g1^50*g2^10) + (g2^12*t^8.447)/g1^48 + (g2^16*t^8.494)/g1^44 + (g2^20*t^8.541)/g1^40 + (g2^2*t^8.56)/g1^38 + (g2^24*t^8.589)/g1^36 + t^8.627/(g1^32*g2^12) + (2*g2^10*t^8.655)/g1^30 + (3*g2^14*t^8.702)/g1^26 - t^8.721/(g1^24*g2^4) + (g2^18*t^8.749)/g1^22 + (2*t^8.768)/g1^20 + (g2^22*t^8.797)/g1^18 - (g2^4*t^8.816)/g1^16 + t^8.835/(g1^14*g2^14) + (2*g2^26*t^8.844)/g1^14 - (3*g2^8*t^8.863)/g1^12 + t^8.882/(g1^10*g2^10) + (2*g2^12*t^8.91)/g1^8 - (2*t^8.929)/(g1^6*g2^6) + (2*g2^16*t^8.957)/g1^4 - (3*t^8.976)/(g1^2*g2^2) + (g2^38*t^8.986)/g1^2 - t^4.488/(g1*g2*y) - (g2^3*t^7.304)/(g1^17*y) + (g1^15*t^7.673)/(g2^5*y) + (g2^12*t^8.678)/(g1^28*y) + t^8.745/(g1^22*g2^2*y) + (2*g2^2*t^8.792)/(g1^18*y) + (2*g2^6*t^8.839)/(g1^14*y) + (2*g2^10*t^8.886)/(g1^10*y) + t^8.906/(g1^8*g2^8*y) + (2*g2^14*t^8.934)/(g1^6*y) + t^8.953/(g1^4*g2^4*y) + (g2^18*t^8.981)/(g1^2*y) - (t^4.488*y)/(g1*g2) - (g2^3*t^7.304*y)/g1^17 + (g1^15*t^7.673*y)/g2^5 + (g2^12*t^8.678*y)/g1^28 + (t^8.745*y)/(g1^22*g2^2) + (2*g2^2*t^8.792*y)/g1^18 + (2*g2^6*t^8.839*y)/g1^14 + (2*g2^10*t^8.886*y)/g1^10 + (t^8.906*y)/(g1^8*g2^8) + (2*g2^14*t^8.934*y)/g1^6 + (t^8.953*y)/(g1^4*g2^4) + (g2^18*t^8.981*y)/g1^2 |
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 |
---|---|---|---|---|---|---|---|---|
51490 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}M_{6}$ | 0.6949 | 0.8521 | 0.8155 | [M:[1.0309, 0.9485, 0.9691, 1.0309, 1.0103, 0.9691], q:[0.5154, 0.4537], qb:[0.536, 0.5154], phi:[0.4949]] | t^2.846 + 2*t^2.907 + t^2.969 + t^3.031 + t^3.093 + t^3.154 + t^4.207 + 2*t^4.392 + t^4.454 + 3*t^4.577 + 2*t^4.639 + t^4.701 + t^5.691 + t^5.753 + 2*t^5.815 + 3*t^5.876 + 2*t^5.938 - 2*t^6. - t^4.485/y - t^4.485*y | detail | |
55401 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{5}M_{7}$ | 0.696 | 0.8546 | 0.8144 | [M:[1.0313, 0.9364, 0.9687, 1.0428, 1.0104, 0.9572, 0.9896], q:[0.5214, 0.4473], qb:[0.5423, 0.5099], phi:[0.4948]] | t^2.809 + t^2.872 + t^2.906 + 2*t^2.969 + t^3.094 + t^3.156 + t^4.168 + t^4.356 + t^4.39 + t^4.453 + t^4.544 + t^4.578 + t^4.613 + t^4.641 + t^4.675 + t^4.738 + t^5.618 + t^5.681 + t^5.743 + 2*t^5.778 + 2*t^5.84 + 2*t^5.875 + 2*t^5.937 + t^5.966 - 3*t^6. - t^4.484/y - t^4.484*y | detail | |
54404 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{7}\phi_{1}^{2}$ | 0.6945 | 0.8529 | 0.8142 | [M:[1.016, 0.9408, 0.984, 1.0485, 1.0053, 0.9515, 1.0053], q:[0.5243, 0.4597], qb:[0.5349, 0.4917], phi:[0.4973]] | t^2.822 + t^2.854 + t^2.952 + 2*t^3.016 + t^3.048 + t^3.08 + t^4.25 + t^4.346 + t^4.442 + t^4.444 + t^4.476 + t^4.54 + t^4.572 + t^4.638 + t^4.67 + t^4.702 + t^5.645 + t^5.677 + t^5.709 + 2*t^5.838 + 2*t^5.87 + t^5.902 + t^5.934 + t^5.968 - 3*t^6. - t^4.492/y - t^4.492*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 |
---|---|---|---|---|---|---|---|---|---|
46623 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ | 0.6935 | 0.8487 | 0.8171 | [M:[1.0327, 0.99, 0.9673, 0.9882, 1.0109], q:[0.4941, 0.4732], qb:[0.5159, 0.5386], phi:[0.4946]] | t^2.902 + t^2.964 + t^2.967 + t^2.97 + t^3.033 + t^3.098 + t^3.163 + t^4.323 + t^4.386 + t^4.448 + t^4.451 + t^4.514 + t^4.519 + t^4.579 + t^4.582 + t^4.647 + t^4.715 + t^5.869 + t^5.929 + 2*t^5.935 + t^5.94 + t^5.997 - 2*t^6. - t^4.484/y - t^4.484*y | detail |