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 |
|---|---|---|---|---|---|---|---|---|---|
| 997 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{6}$ | 0.6951 | 0.8535 | 0.8144 | [M:[0.9385, 1.0457, 1.0079, 0.9764, 1.0236, 0.9543], q:[0.5386, 0.5229], qb:[0.4535, 0.5008], phi:[0.4961]] | [M:[[16, 8], [-12, -12], [-2, 2], [6, -6], [-6, 6], [12, 12]], 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 |
|---|---|---|---|---|
| ${}M_{1}$, ${ }M_{6}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{5}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{6}q_{1}\tilde{q}_{2}$ | ${}$ | -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 | g1^16*g2^8*t^2.816 + g1^12*g2^12*t^2.863 + (g1^6*t^2.929)/g2^6 + (g1^2*t^2.976)/g2^2 + (g2^2*t^3.024)/g1^2 + (g2^6*t^3.071)/g1^6 + (g2^10*t^3.118)/g1^10 + (g1^25*t^4.209)/g2 + g1^13*g2^11*t^4.351 + (g1^7*t^4.417)/g2^7 + (g1^3*t^4.465)/g2^3 + g1*g2^23*t^4.493 + (g2^5*t^4.559)/g1^5 + (g2^9*t^4.606)/g1^9 + t^4.625/(g1^11*g2^13) + t^4.673/(g1^15*g2^9) + t^4.72/(g1^19*g2^5) + g1^32*g2^16*t^5.631 + g1^28*g2^20*t^5.678 + g1^24*g2^24*t^5.726 + g1^18*g2^6*t^5.792 + 2*g1^14*g2^10*t^5.839 + g1^10*g2^14*t^5.886 + (g1^8*t^5.906)/g2^8 + g1^6*g2^18*t^5.934 + (g1^4*t^5.953)/g2^4 + g1^2*g2^22*t^5.981 - 2*t^6. + (g2^4*t^6.047)/g1^4 - t^6.066/(g1^6*g2^18) + (2*g2^8*t^6.094)/g1^8 - t^6.114/(g1^10*g2^14) + (g2^12*t^6.142)/g1^12 + (g2^16*t^6.189)/g1^16 - t^6.208/(g1^18*g2^6) + (g2^20*t^6.236)/g1^20 - t^6.255/(g1^22*g2^2) + g1^41*g2^7*t^7.025 + g1^37*g2^11*t^7.072 + (g1^31*t^7.138)/g2^7 + g1^29*g2^19*t^7.167 + (g1^27*t^7.186)/g2^3 + g1^25*g2^23*t^7.214 + 2*g1^19*g2^5*t^7.28 + g1^17*g2^31*t^7.308 + 2*g1^15*g2^9*t^7.327 + g1^13*g2^35*t^7.356 + (g1^9*t^7.394)/g2^9 + 2*g1^7*g2^17*t^7.422 + (g1^5*t^7.441)/g2^5 + 2*g1^3*g2^21*t^7.469 + (2*g2^3*t^7.535)/g1^3 + (g2^29*t^7.564)/g1^5 + (2*g2^7*t^7.583)/g1^7 + (g2^33*t^7.611)/g1^9 + t^7.649/(g1^13*g2^11) + (g2^15*t^7.677)/g1^15 + t^7.696/(g1^17*g2^7) + (g2^19*t^7.724)/g1^19 + (g2*t^7.791)/g1^25 + (g2^5*t^7.838)/g1^29 + (g1^50*t^8.419)/g2^2 + g1^48*g2^24*t^8.447 + g1^44*g2^28*t^8.494 + g1^40*g2^32*t^8.541 + g1^38*g2^10*t^8.56 + g1^36*g2^36*t^8.589 + (g1^32*t^8.627)/g2^8 + 2*g1^30*g2^18*t^8.655 + 3*g1^26*g2^22*t^8.702 - g1^24*t^8.721 + g1^22*g2^26*t^8.749 + 2*g1^20*g2^4*t^8.768 + g1^18*g2^30*t^8.797 - g1^16*g2^8*t^8.816 + (g1^14*t^8.835)/g2^14 + 2*g1^14*g2^34*t^8.844 - 3*g1^12*g2^12*t^8.863 + (g1^10*t^8.882)/g2^10 + 2*g1^8*g2^16*t^8.91 - (2*g1^6*t^8.929)/g2^6 + 2*g1^4*g2^20*t^8.957 - (3*g1^2*t^8.976)/g2^2 + g1^2*g2^46*t^8.986 - (g1*t^4.488)/(g2*y) - (g1^17*g2^7*t^7.304)/y + t^7.673/(g1^15*g2^9*y) + (g1^28*g2^20*t^8.678)/y + (g1^22*g2^2*t^8.745)/y + (2*g1^18*g2^6*t^8.792)/y + (2*g1^14*g2^10*t^8.839)/y + (2*g1^10*g2^14*t^8.886)/y + (g1^8*t^8.906)/(g2^8*y) + (2*g1^6*g2^18*t^8.934)/y + (g1^4*t^8.953)/(g2^4*y) + (g1^2*g2^22*t^8.981)/y - (g1*t^4.488*y)/g2 - g1^17*g2^7*t^7.304*y + (t^7.673*y)/(g1^15*g2^9) + g1^28*g2^20*t^8.678*y + g1^22*g2^2*t^8.745*y + 2*g1^18*g2^6*t^8.792*y + 2*g1^14*g2^10*t^8.839*y + 2*g1^10*g2^14*t^8.886*y + (g1^8*t^8.906*y)/g2^8 + 2*g1^6*g2^18*t^8.934*y + (g1^4*t^8.953*y)/g2^4 + g1^2*g2^22*t^8.981*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 |
|---|---|---|---|---|---|---|---|---|
| 1575 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{6}$ + ${ }M_{3}M_{7}$ | 0.696 | 0.8546 | 0.8144 | [M:[0.9364, 1.0428, 1.0104, 0.9687, 1.0313, 0.9572, 0.9896], q:[0.5423, 0.5214], qb:[0.4473, 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 | |
| 1574 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{6}$ + ${ }M_{7}\phi_{1}^{2}$ | 0.6945 | 0.8529 | 0.8142 | [M:[0.9408, 1.0485, 1.0053, 0.984, 1.016, 0.9515, 1.0053], q:[0.5349, 0.5243], qb:[0.4597, 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 |
|---|
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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 612 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}\phi_{1}^{2}$ | 0.6935 | 0.8487 | 0.8171 | [M:[0.99, 0.9882, 1.0109, 0.9673, 1.0327], q:[0.5159, 0.4941], qb:[0.4732, 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 |