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 |
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1473 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{1}M_{7}$ | 0.7132 | 0.8781 | 0.8122 | [M:[1.0554, 0.8338, 0.8926, 0.9965, 1.0035, 0.9965, 0.9446], q:[0.5277, 0.4169], qb:[0.5797, 0.5866], phi:[0.4723]] | [M:[[2, 2], [-6, -6], [-7, -1], [3, -3], [-3, 3], [3, -3], [-2, -2]], q:[[1, 1], [-3, -3]], qb:[[6, 0], [0, 6]], phi:[[-1, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}M_{2}$, ${ }M_{3}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{6}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{7}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{6}$, ${ }M_{3}M_{7}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{6}$, ${ }M_{7}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{4}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}^{2}$ | ${}$ | -4 | t^2.501 + t^2.678 + 2*t^2.834 + 2*t^2.99 + t^3.343 + t^3.918 + t^4.251 + t^4.407 + t^4.427 + t^4.583 + t^4.739 + t^4.76 + t^4.895 + t^4.916 + t^4.936 + t^5.003 + t^5.179 + 2*t^5.335 + t^5.356 + t^5.491 + t^5.512 + 4*t^5.668 + 3*t^5.823 + 2*t^5.979 - 4*t^6. - t^6.156 + t^6.177 + t^6.42 - t^6.488 - t^6.509 + t^6.596 + t^6.686 + 3*t^6.752 + 2*t^6.908 + t^6.929 + 2*t^7.084 + t^7.105 + 3*t^7.24 + 3*t^7.261 + 2*t^7.396 + t^7.417 + t^7.438 + t^7.504 + 2*t^7.573 + t^7.593 + t^7.614 + t^7.681 + 3*t^7.729 + 2*t^7.77 + 3*t^7.836 + t^7.857 + 2*t^7.884 - t^7.905 + t^7.992 + t^8.013 + t^8.034 - t^8.061 - t^8.082 + 4*t^8.169 + t^8.19 + t^8.279 + 2*t^8.325 + 3*t^8.345 + t^8.481 + t^8.501 + 5*t^8.657 - 3*t^8.678 + 4*t^8.813 - 8*t^8.834 + t^8.921 + 2*t^8.969 - 8*t^8.99 - t^4.417/y - t^6.918/y - t^7.095/y - t^7.251/y - t^7.407/y + t^7.427/y + t^7.583/y + t^7.739/y + t^7.916/y + t^8.179/y + (2*t^8.335)/y + (2*t^8.491)/y + (2*t^8.512)/y + (3*t^8.668)/y + (4*t^8.823)/y + t^8.844/y + t^8.979/y - t^4.417*y - t^6.918*y - t^7.095*y - t^7.251*y - t^7.407*y + t^7.427*y + t^7.583*y + t^7.739*y + t^7.916*y + t^8.179*y + 2*t^8.335*y + 2*t^8.491*y + 2*t^8.512*y + 3*t^8.668*y + 4*t^8.823*y + t^8.844*y + t^8.979*y | t^2.501/(g1^6*g2^6) + t^2.678/(g1^7*g2) + (2*t^2.834)/(g1^2*g2^2) + (2*g1^3*t^2.99)/g2^3 + g1*g2^7*t^3.343 + t^3.918/(g1^7*g2^7) + t^4.251/(g1^3*g2^3) + (g1^2*t^4.407)/g2^4 + (g2^2*t^4.427)/g1^4 + g1*g2*t^4.583 + g1^6*t^4.739 + g2^6*t^4.76 + (g1^11*t^4.895)/g2 + g1^5*g2^5*t^4.916 + (g2^11*t^4.936)/g1 + t^5.003/(g1^12*g2^12) + t^5.179/(g1^13*g2^7) + (2*t^5.335)/(g1^8*g2^8) + t^5.356/(g1^14*g2^2) + t^5.491/(g1^3*g2^9) + t^5.512/(g1^9*g2^3) + (4*t^5.668)/(g1^4*g2^4) + (3*g1*t^5.823)/g2^5 + (2*g1^6*t^5.979)/g2^6 - 4*t^6. - (g1^5*t^6.156)/g2 + (g2^5*t^6.177)/g1 + t^6.42/(g1^13*g2^13) - g1^9*g2^3*t^6.488 - g1^3*g2^9*t^6.509 + t^6.596/(g1^14*g2^8) + g1^2*g2^14*t^6.686 + (3*t^6.752)/(g1^9*g2^9) + (2*t^6.908)/(g1^4*g2^10) + t^6.929/(g1^10*g2^4) + (2*t^7.084)/(g1^5*g2^5) + (g2*t^7.105)/g1^11 + (3*t^7.24)/g2^6 + (3*t^7.261)/g1^6 + (2*g1^5*t^7.396)/g2^7 + t^7.417/(g1*g2) + (g2^5*t^7.438)/g1^7 + t^7.504/(g1^18*g2^18) + (2*g1^4*t^7.573)/g2^2 + (g2^4*t^7.593)/g1^2 + (g2^10*t^7.614)/g1^8 + t^7.681/(g1^19*g2^13) + (3*g1^9*t^7.729)/g2^3 + (2*g2^9*t^7.77)/g1^3 + (3*t^7.836)/(g1^14*g2^14) + t^7.857/(g1^20*g2^8) + (2*g1^14*t^7.884)/g2^4 - g1^8*g2^2*t^7.905 + t^7.992/(g1^9*g2^15) + t^8.013/(g1^15*g2^9) + t^8.034/(g1^21*g2^3) - g1^13*g2*t^8.061 - g1^7*g2^7*t^8.082 + (4*t^8.169)/(g1^10*g2^10) + t^8.19/(g1^16*g2^4) + g2^18*t^8.279 + (2*t^8.325)/(g1^5*g2^11) + (3*t^8.345)/(g1^11*g2^5) + t^8.481/g2^12 + t^8.501/(g1^6*g2^6) + (5*t^8.657)/(g1*g2^7) - (3*t^8.678)/(g1^7*g2) + (4*g1^4*t^8.813)/g2^8 - (8*t^8.834)/(g1^2*g2^2) + t^8.921/(g1^19*g2^19) + (2*g1^9*t^8.969)/g2^9 - (8*g1^3*t^8.99)/g2^3 - t^4.417/(g1*g2*y) - t^6.918/(g1^7*g2^7*y) - t^7.095/(g1^8*g2^2*y) - t^7.251/(g1^3*g2^3*y) - (g1^2*t^7.407)/(g2^4*y) + (g2^2*t^7.427)/(g1^4*y) + (g1*g2*t^7.583)/y + (g1^6*t^7.739)/y + (g1^5*g2^5*t^7.916)/y + t^8.179/(g1^13*g2^7*y) + (2*t^8.335)/(g1^8*g2^8*y) + (2*t^8.491)/(g1^3*g2^9*y) + (2*t^8.512)/(g1^9*g2^3*y) + (3*t^8.668)/(g1^4*g2^4*y) + (4*g1*t^8.823)/(g2^5*y) + (g2*t^8.844)/(g1^5*y) + (g1^6*t^8.979)/(g2^6*y) - (t^4.417*y)/(g1*g2) - (t^6.918*y)/(g1^7*g2^7) - (t^7.095*y)/(g1^8*g2^2) - (t^7.251*y)/(g1^3*g2^3) - (g1^2*t^7.407*y)/g2^4 + (g2^2*t^7.427*y)/g1^4 + g1*g2*t^7.583*y + g1^6*t^7.739*y + g1^5*g2^5*t^7.916*y + (t^8.179*y)/(g1^13*g2^7) + (2*t^8.335*y)/(g1^8*g2^8) + (2*t^8.491*y)/(g1^3*g2^9) + (2*t^8.512*y)/(g1^9*g2^3) + (3*t^8.668*y)/(g1^4*g2^4) + (4*g1*t^8.823*y)/g2^5 + (g2*t^8.844*y)/g1^5 + (g1^6*t^8.979*y)/g2^6 |
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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
954 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{5}M_{6}$ | 0.7083 | 0.8692 | 0.8149 | [M:[1.0492, 0.8523, 0.9042, 0.9973, 1.0027, 0.9973], q:[0.5246, 0.4261], qb:[0.5712, 0.5766], phi:[0.4754]] | t^2.557 + t^2.713 + t^2.852 + 2*t^2.992 + t^3.148 + t^3.304 + t^3.983 + t^4.278 + t^4.418 + t^4.434 + t^4.574 + t^4.714 + t^4.73 + t^4.853 + t^4.869 + t^4.885 + t^5.114 + t^5.269 + t^5.409 + t^5.425 + t^5.549 + 3*t^5.705 + t^5.844 + t^5.86 + 2*t^5.984 - 3*t^6. - t^4.426/y - t^4.426*y | detail |