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 |
---|---|---|---|---|---|---|---|---|---|
1552 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{7}$ | 0.6816 | 0.8525 | 0.7995 | [M:[1.0231, 0.765, 0.9471, 0.841, 1.159, 0.712, 1.0529], q:[0.5944, 0.3825], qb:[0.4585, 0.7765], phi:[0.447]] | [M:[[2, -14], [-2, -2], [-1, -15], [1, -1], [-1, 1], [-1, 5], [1, 15]], q:[[-1, 15], [-1, -1]], qb:[[2, 0], [0, 2]], phi:[[0, -4]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{6}$, ${ }M_{2}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{7}$, ${ }M_{5}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{2}M_{4}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{6}M_{7}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{5}M_{6}$, ${ }M_{4}M_{7}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}q_{2}^{2}$ | ${}$ | -2 | t^2.136 + t^2.295 + t^2.523 + t^2.682 + t^3.069 + t^3.159 + t^3.477 + t^3.636 + t^4.092 + t^4.113 + 2*t^4.272 + t^4.431 + t^4.5 + t^4.59 + t^4.659 + 2*t^4.818 + t^4.907 + t^4.977 + t^5.046 + 2*t^5.205 + t^5.295 + t^5.364 + t^5.454 + t^5.613 + t^5.682 + t^5.751 + t^5.772 + t^5.841 + t^5.931 - 2*t^6. + t^6.139 + t^6.159 + t^6.228 + t^6.249 + t^6.317 + t^6.318 + 2*t^6.408 + 2*t^6.567 + t^6.615 + t^6.636 + t^6.726 + t^6.774 + 3*t^6.795 + t^6.885 - t^6.933 + 2*t^6.954 + t^7.043 + 2*t^7.113 + t^7.161 + t^7.182 + t^7.203 + t^7.251 + t^7.271 + 2*t^7.272 + t^7.341 - t^7.41 + 2*t^7.431 + 2*t^7.5 + t^7.569 + 2*t^7.59 + 2*t^7.659 + t^7.728 + 2*t^7.749 + t^7.887 + 2*t^7.908 + t^7.977 + t^8.046 + t^8.066 + t^8.067 - 2*t^8.136 + t^8.184 + t^8.205 + t^8.226 + t^8.274 - 2*t^8.295 + t^8.364 + 2*t^8.384 + 2*t^8.434 + t^8.453 + t^8.454 - 2*t^8.523 + 3*t^8.544 + t^8.592 + t^8.612 + t^8.613 - 2*t^8.682 + 2*t^8.703 + t^8.821 + t^8.84 + 2*t^8.862 + t^8.91 + t^8.931 - t^4.341/y - t^6.477/y - t^6.636/y - t^7.023/y + t^7.272/y - t^7.41/y + t^7.431/y + (2*t^7.659)/y + (2*t^7.818)/y + t^7.977/y + t^8.046/y + (3*t^8.205)/y + t^8.295/y + t^8.364/y + t^8.454/y + t^8.592/y + t^8.682/y + t^8.751/y + t^8.772/y + t^8.841/y - t^4.341*y - t^6.477*y - t^6.636*y - t^7.023*y + t^7.272*y - t^7.41*y + t^7.431*y + 2*t^7.659*y + 2*t^7.818*y + t^7.977*y + t^8.046*y + 3*t^8.205*y + t^8.295*y + t^8.364*y + t^8.454*y + t^8.592*y + t^8.682*y + t^8.751*y + t^8.772*y + t^8.841*y | (g2^5*t^2.136)/g1 + t^2.295/(g1^2*g2^2) + (g1*t^2.523)/g2 + t^2.682/g2^8 + (g1^2*t^3.069)/g2^14 + g1*g2^15*t^3.159 + (g2*t^3.477)/g1 + t^3.636/(g1^2*g2^6) + (g1^4*t^4.092)/g2^4 + (g2^17*t^4.113)/g1 + (2*g2^10*t^4.272)/g1^2 + (g2^3*t^4.431)/g1^3 + g1*g2^11*t^4.5 + t^4.59/(g1^4*g2^4) + g2^4*t^4.659 + (2*t^4.818)/(g1*g2^3) + (g2^26*t^4.907)/g1^2 + t^4.977/(g1^2*g2^10) + (g1^2*t^5.046)/g2^2 + (2*g1*t^5.205)/g2^9 + g2^20*t^5.295 + t^5.364/g2^16 + (g2^13*t^5.454)/g1 + (g2^6*t^5.613)/g1^2 + g1^2*g2^14*t^5.682 + (g1^2*t^5.751)/g2^22 + t^5.772/(g1^3*g2) + g1*g2^7*t^5.841 + t^5.931/(g1^4*g2^8) - 2*t^6. + (g1^4*t^6.139)/g2^28 + t^6.159/(g1*g2^7) + g1^3*g2*t^6.228 + (g2^22*t^6.249)/g1^2 + g1^2*g2^30*t^6.317 + t^6.318/(g1^2*g2^14) + (2*g2^15*t^6.408)/g1^3 + (2*g2^8*t^6.567)/g1^4 + (g1^5*t^6.615)/g2^5 + g2^16*t^6.636 + (g2*t^6.726)/g1^5 + (g1^4*t^6.774)/g2^12 + (3*g2^9*t^6.795)/g1 + t^6.885/(g1^6*g2^6) - (g1^3*t^6.933)/g2^19 + (2*g2^2*t^6.954)/g1^2 + (g2^31*t^7.043)/g1^3 + (2*t^7.113)/(g1^3*g2^5) + (g1^6*t^7.161)/g2^18 + g1*g2^3*t^7.182 + (g2^24*t^7.203)/g1^4 + g1^5*g2^11*t^7.251 + g2^32*t^7.271 + (2*t^7.272)/(g1^4*g2^12) + t^7.341/g2^4 - g1^4*g2^4*t^7.41 + (2*g2^25*t^7.431)/g1 + (2*t^7.5)/(g1*g2^11) + (g1^3*t^7.569)/g2^3 + (2*g2^18*t^7.59)/g1^2 + t^7.659/(g1^2*g2^18) + g1^2*g2^26*t^7.659 + (g1^2*t^7.728)/g2^10 + (2*g2^11*t^7.749)/g1^3 + (g1*t^7.887)/g2^17 + (2*g2^4*t^7.908)/g1^4 + g2^12*t^7.977 + t^8.046/g2^24 + (g2^41*t^8.066)/g1 + t^8.067/(g1^5*g2^3) - (2*g2^5*t^8.136)/g1 + (g1^8*t^8.184)/g2^8 + g1^3*g2^13*t^8.205 + t^8.226/(g1^6*g2^10) + (g1^3*t^8.274)/g2^23 - (2*t^8.295)/(g1^2*g2^2) + g1^2*g2^6*t^8.364 + (2*g2^27*t^8.384)/g1^3 + (2*g1^2*t^8.434)/g2^30 + g1*g2^35*t^8.453 + t^8.454/(g1^3*g2^9) - (2*g1*t^8.523)/g2 + (3*g2^20*t^8.544)/g1^4 + g1^5*g2^7*t^8.592 + g2^28*t^8.612 + t^8.613/(g1^4*g2^16) - (2*t^8.682)/g2^8 + (2*g2^13*t^8.703)/g1^5 + (g1^4*t^8.821)/g2^36 + g1^3*g2^29*t^8.84 + (2*g2^6*t^8.862)/g1^6 + (g1^3*t^8.91)/g2^7 + (g2^14*t^8.931)/g1^2 - t^4.341/(g2^4*y) - (g2*t^6.477)/(g1*y) - t^6.636/(g1^2*g2^6*y) - t^7.023/(g2^12*y) + (g2^10*t^7.272)/(g1^2*y) - (g1^2*t^7.41)/(g2^18*y) + (g2^3*t^7.431)/(g1^3*y) + (2*g2^4*t^7.659)/y + (2*t^7.818)/(g1*g2^3*y) + t^7.977/(g1^2*g2^10*y) + (g1^2*t^8.046)/(g2^2*y) + (3*g1*t^8.205)/(g2^9*y) + (g2^20*t^8.295)/y + t^8.364/(g2^16*y) + (g2^13*t^8.454)/(g1*y) + (g1^3*t^8.592)/(g2^15*y) + (g1^2*g2^14*t^8.682)/y + (g1^2*t^8.751)/(g2^22*y) + t^8.772/(g1^3*g2*y) + (g1*g2^7*t^8.841)/y - (t^4.341*y)/g2^4 - (g2*t^6.477*y)/g1 - (t^6.636*y)/(g1^2*g2^6) - (t^7.023*y)/g2^12 + (g2^10*t^7.272*y)/g1^2 - (g1^2*t^7.41*y)/g2^18 + (g2^3*t^7.431*y)/g1^3 + 2*g2^4*t^7.659*y + (2*t^7.818*y)/(g1*g2^3) + (t^7.977*y)/(g1^2*g2^10) + (g1^2*t^8.046*y)/g2^2 + (3*g1*t^8.205*y)/g2^9 + g2^20*t^8.295*y + (t^8.364*y)/g2^16 + (g2^13*t^8.454*y)/g1 + (g1^3*t^8.592*y)/g2^15 + g1^2*g2^14*t^8.682*y + (g1^2*t^8.751*y)/g2^22 + (t^8.772*y)/(g1^3*g2) + g1*g2^7*t^8.841*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 |
---|---|---|---|---|---|---|---|---|
2652 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{7}$ + ${ }M_{2}M_{8}$ | 0.6637 | 0.8211 | 0.8083 | [M:[1.0146, 0.7862, 0.9689, 0.832, 1.168, 0.7178, 1.0311, 1.2138], q:[0.5922, 0.3931], qb:[0.4389, 0.7749], phi:[0.4502]] | t^2.153 + t^2.496 + t^2.701 + t^3.044 + t^3.093 + t^3.504 + t^3.641 + t^3.709 + t^3.984 + t^4.101 + 2*t^4.307 + t^4.444 + t^4.649 + t^4.855 + t^4.904 + t^4.992 + 2*t^5.197 + t^5.247 + t^5.589 + t^5.657 + t^5.745 + 2*t^5.795 - 2*t^6. - t^4.351/y - t^4.351*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 |
---|---|---|---|---|---|---|---|---|---|
986 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6898 | 0.8671 | 0.7956 | [M:[0.9905, 0.7331, 0.8747, 0.8489, 1.1511, 0.7202], q:[0.6429, 0.3665], qb:[0.4824, 0.7846], phi:[0.4309]] | t^2.161 + t^2.199 + t^2.547 + t^2.585 + t^2.624 + t^2.972 + t^3.453 + t^3.492 + t^4.187 + t^4.282 + 2*t^4.321 + t^4.36 + t^4.398 + t^4.669 + t^4.707 + 2*t^4.746 + 2*t^4.785 + t^4.823 + t^5.094 + 2*t^5.132 + t^5.15 + 2*t^5.171 + t^5.209 + t^5.248 + t^5.557 + t^5.596 + t^5.614 + t^5.652 + t^5.691 + t^5.943 - 2*t^6. - t^4.293/y - t^4.293*y | detail |