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 |
---|---|---|---|---|---|---|---|---|---|
55060 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{6}\phi_{1}^{2}$ | 0.6957 | 0.8524 | 0.8162 | [M:[0.9559, 0.9265, 1.0147, 1.0441, 1.0, 1.0147], q:[0.5441, 0.5], qb:[0.5294, 0.4559], phi:[0.4927]] | [M:[[6], [10], [-2], [-6], [0], [-2]], q:[[-6], [0]], qb:[[-4], [6]], phi:[[1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{1}$, ${ }M_{5}$, ${ }M_{3}$, ${ }M_{6}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{4}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{6}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{1}M_{6}$ | ${}$ | -2 | t^2.78 + t^2.868 + t^3. + 2*t^3.044 + t^3.088 + t^3.132 + t^4.214 + t^4.346 + t^4.434 + 2*t^4.478 + t^4.566 + t^4.61 + t^4.654 + t^4.698 + t^4.742 + t^5.559 + t^5.647 + 2*t^5.824 + 2*t^5.912 - 2*t^6. + t^6.044 + 2*t^6.088 + t^6.132 + 3*t^6.176 + t^6.993 + t^7.081 + t^7.125 + 2*t^7.214 + 2*t^7.258 + t^7.302 + 2*t^7.346 + t^7.39 + t^7.434 + 2*t^7.478 + 3*t^7.522 + t^7.566 + 2*t^7.61 + 2*t^7.654 + t^7.698 + 3*t^7.742 + 2*t^7.786 + t^7.831 + t^7.875 + t^8.339 + 2*t^8.427 + t^8.559 + 2*t^8.603 + 4*t^8.692 - t^8.736 - 2*t^8.78 + 2*t^8.824 - t^8.868 + 4*t^8.956 - t^4.478/y - t^7.258/y + t^7.434/y - t^7.522/y + t^7.698/y + t^8.647/y + t^8.78/y + (2*t^8.824)/y + (2*t^8.868)/y + (3*t^8.912)/y + t^8.956/y - t^4.478*y - t^7.258*y + t^7.434*y - t^7.522*y + t^7.698*y + t^8.647*y + t^8.78*y + 2*t^8.824*y + 2*t^8.868*y + 3*t^8.912*y + t^8.956*y | g1^10*t^2.78 + g1^6*t^2.868 + t^3. + (2*t^3.044)/g1^2 + t^3.088/g1^4 + t^3.132/g1^6 + g1^13*t^4.214 + g1^7*t^4.346 + g1^3*t^4.434 + 2*g1*t^4.478 + t^4.566/g1^3 + t^4.61/g1^5 + t^4.654/g1^7 + t^4.698/g1^9 + t^4.742/g1^11 + g1^20*t^5.559 + g1^16*t^5.647 + 2*g1^8*t^5.824 + 2*g1^4*t^5.912 - 2*t^6. + t^6.044/g1^2 + (2*t^6.088)/g1^4 + t^6.132/g1^6 + (3*t^6.176)/g1^8 + g1^23*t^6.993 + g1^19*t^7.081 + g1^17*t^7.125 + 2*g1^13*t^7.214 + 2*g1^11*t^7.258 + g1^9*t^7.302 + 2*g1^7*t^7.346 + g1^5*t^7.39 + g1^3*t^7.434 + 2*g1*t^7.478 + (3*t^7.522)/g1 + t^7.566/g1^3 + (2*t^7.61)/g1^5 + (2*t^7.654)/g1^7 + t^7.698/g1^9 + (3*t^7.742)/g1^11 + (2*t^7.786)/g1^13 + t^7.831/g1^15 + t^7.875/g1^17 + g1^30*t^8.339 + 2*g1^26*t^8.427 + g1^20*t^8.559 + 2*g1^18*t^8.603 + 4*g1^14*t^8.692 - g1^12*t^8.736 - 2*g1^10*t^8.78 + 2*g1^8*t^8.824 - g1^6*t^8.868 + 4*g1^2*t^8.956 - (g1*t^4.478)/y - (g1^11*t^7.258)/y + (g1^3*t^7.434)/y - t^7.522/(g1*y) + t^7.698/(g1^9*y) + (g1^16*t^8.647)/y + (g1^10*t^8.78)/y + (2*g1^8*t^8.824)/y + (2*g1^6*t^8.868)/y + (3*g1^4*t^8.912)/y + (g1^2*t^8.956)/y - g1*t^4.478*y - g1^11*t^7.258*y + g1^3*t^7.434*y - (t^7.522*y)/g1 + (t^7.698*y)/g1^9 + g1^16*t^8.647*y + g1^10*t^8.78*y + 2*g1^8*t^8.824*y + 2*g1^6*t^8.868*y + 3*g1^4*t^8.912*y + g1^2*t^8.956*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 |
---|---|---|---|---|---|---|---|---|
56652 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{4}M_{7}$ | 0.7007 | 0.8616 | 0.8132 | [M:[0.9361, 0.8935, 1.0213, 1.0639, 1.0, 1.0213, 0.9361], q:[0.5639, 0.5], qb:[0.5426, 0.4361], phi:[0.4894]] | t^2.681 + 2*t^2.808 + t^3. + 2*t^3.064 + t^3.128 + t^4.085 + t^4.276 + t^4.404 + 2*t^4.468 + t^4.596 + t^4.66 + t^4.724 + t^4.787 + t^4.851 + t^5.361 + 2*t^5.489 + 2*t^5.617 + 2*t^5.744 + t^5.808 + 3*t^5.872 + t^5.936 - 3*t^6. - t^4.468/y - t^4.468*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 |
---|---|---|---|---|---|---|---|---|---|
46950 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{1}M_{4}$ | 0.6972 | 0.855 | 0.8154 | [M:[0.949, 0.915, 1.017, 1.051, 1.0], q:[0.551, 0.5], qb:[0.534, 0.449], phi:[0.4915]] | t^2.745 + t^2.847 + t^2.949 + t^3. + t^3.051 + t^3.102 + t^3.153 + t^4.169 + t^4.322 + t^4.424 + 2*t^4.475 + t^4.576 + t^4.627 + t^4.678 + t^4.729 + t^4.78 + t^5.49 + t^5.592 + t^5.694 + 2*t^5.796 + 2*t^5.898 + t^5.949 - t^6. - t^4.475/y - t^4.475*y | detail |