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 |
---|---|---|---|---|---|---|---|---|---|
1227 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}q_{1}q_{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6837 | 0.8536 | 0.8009 | [M:[1.0, 1.1572, 0.9097, 0.8428, 0.8428, 0.7191], q:[0.7809, 0.3763], qb:[0.6237, 0.4666], phi:[0.4381]] | [M:[[0], [-3], [-11], [3], [3], [-1]], q:[[1], [-4]], qb:[[4], [7]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{6}$, ${ }M_{4}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{5}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$ | ${}$ | -2 | t^2.157 + 2*t^2.528 + t^2.629 + t^2.729 + t^3. + t^3.572 + t^3.742 + t^4.114 + t^4.214 + 2*t^4.314 + t^4.585 + 2*t^4.686 + t^4.786 + t^4.886 + 4*t^5.057 + 3*t^5.157 + 2*t^5.258 + t^5.358 + t^5.458 + t^5.528 + t^5.629 + t^5.729 + t^5.9 - 2*t^6. + t^6.1 + t^6.201 + 2*t^6.271 + t^6.301 + t^6.371 + t^6.472 + 2*t^6.642 + 3*t^6.742 + 3*t^6.843 + t^6.943 + t^7.043 + 2*t^7.114 + t^7.144 + 4*t^7.214 + 3*t^7.314 + 2*t^7.415 + t^7.515 + 4*t^7.585 + t^7.615 + 4*t^7.686 + 4*t^7.786 + t^7.856 + 4*t^7.886 + 2*t^7.987 + t^8.057 + t^8.087 - 2*t^8.157 + t^8.187 + t^8.227 + t^8.258 + t^8.328 + t^8.358 + t^8.428 + t^8.458 - 4*t^8.528 + t^8.629 + t^8.699 - t^8.729 + 4*t^8.799 + t^8.829 + t^8.9 + t^8.93 - t^4.314/y - t^6.472/y - t^6.843/y - t^6.943/y - t^7.043/y + t^7.585/y + (3*t^7.686)/y + (2*t^7.786)/y + t^7.886/y + t^8.057/y + (4*t^8.157)/y + (2*t^8.258)/y + t^8.358/y + (2*t^8.528)/y + (2*t^8.729)/y + t^8.9/y - t^4.314*y - t^6.472*y - t^6.843*y - t^6.943*y - t^7.043*y + t^7.585*y + 3*t^7.686*y + 2*t^7.786*y + t^7.886*y + t^8.057*y + 4*t^8.157*y + 2*t^8.258*y + t^8.358*y + 2*t^8.528*y + 2*t^8.729*y + t^8.9*y | t^2.157/g1 + 2*g1^3*t^2.528 + t^2.629/g1^4 + t^2.729/g1^11 + t^3. + t^3.572/g1^10 + g1^8*t^3.742 + g1^12*t^4.114 + g1^5*t^4.214 + (2*t^4.314)/g1^2 + g1^9*t^4.585 + 2*g1^2*t^4.686 + t^4.786/g1^5 + t^4.886/g1^12 + 4*g1^6*t^5.057 + (3*t^5.157)/g1 + (2*t^5.258)/g1^8 + t^5.358/g1^15 + t^5.458/g1^22 + g1^3*t^5.528 + t^5.629/g1^4 + t^5.729/g1^11 + g1^7*t^5.9 - 2*t^6. + t^6.1/g1^7 + t^6.201/g1^14 + 2*g1^11*t^6.271 + t^6.301/g1^21 + g1^4*t^6.371 + t^6.472/g1^3 + 2*g1^15*t^6.642 + 3*g1^8*t^6.742 + 3*g1*t^6.843 + t^6.943/g1^6 + t^7.043/g1^13 + 2*g1^12*t^7.114 + t^7.144/g1^20 + 4*g1^5*t^7.214 + (3*t^7.314)/g1^2 + (2*t^7.415)/g1^9 + t^7.515/g1^16 + 4*g1^9*t^7.585 + t^7.615/g1^23 + 4*g1^2*t^7.686 + (4*t^7.786)/g1^5 + g1^20*t^7.856 + (4*t^7.886)/g1^12 + (2*t^7.987)/g1^19 + g1^6*t^8.057 + t^8.087/g1^26 - (2*t^8.157)/g1 + t^8.187/g1^33 + g1^24*t^8.227 + t^8.258/g1^8 + g1^17*t^8.328 + t^8.358/g1^15 + g1^10*t^8.428 + t^8.458/g1^22 - 4*g1^3*t^8.528 + t^8.629/g1^4 + g1^21*t^8.699 - t^8.729/g1^11 + 4*g1^14*t^8.799 + t^8.829/g1^18 + g1^7*t^8.9 + t^8.93/g1^25 - t^4.314/(g1^2*y) - t^6.472/(g1^3*y) - (g1*t^6.843)/y - t^6.943/(g1^6*y) - t^7.043/(g1^13*y) + (g1^9*t^7.585)/y + (3*g1^2*t^7.686)/y + (2*t^7.786)/(g1^5*y) + t^7.886/(g1^12*y) + (g1^6*t^8.057)/y + (4*t^8.157)/(g1*y) + (2*t^8.258)/(g1^8*y) + t^8.358/(g1^15*y) + (2*g1^3*t^8.528)/y + (2*t^8.729)/(g1^11*y) + (g1^7*t^8.9)/y - (t^4.314*y)/g1^2 - (t^6.472*y)/g1^3 - g1*t^6.843*y - (t^6.943*y)/g1^6 - (t^7.043*y)/g1^13 + g1^9*t^7.585*y + 3*g1^2*t^7.686*y + (2*t^7.786*y)/g1^5 + (t^7.886*y)/g1^12 + g1^6*t^8.057*y + (4*t^8.157*y)/g1 + (2*t^8.258*y)/g1^8 + (t^8.358*y)/g1^15 + 2*g1^3*t^8.528*y + (2*t^8.729*y)/g1^11 + g1^7*t^8.9*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 |
---|---|---|---|---|---|---|---|---|
2278 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}q_{1}q_{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{7}$ | 0.6783 | 0.8471 | 0.8008 | [M:[1.0, 1.175, 0.9751, 0.825, 0.825, 0.725, 1.0249], q:[0.775, 0.4], qb:[0.6, 0.4249], phi:[0.45]] | t^2.175 + 2*t^2.475 + t^2.7 + t^3. + t^3.075 + t^3.6 + t^3.75 + t^3.9 + t^4.125 + 2*t^4.35 + t^4.425 + 2*t^4.65 + t^4.875 + 4*t^4.95 + 3*t^5.175 + t^5.25 + t^5.475 + 2*t^5.55 + t^5.7 + 2*t^5.775 - 2*t^6. - t^4.35/y - t^4.35*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 |
---|---|---|---|---|---|---|---|---|---|
745 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}q_{1}q_{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{2}M_{5}$ | 0.6636 | 0.816 | 0.8132 | [M:[1.0, 1.1577, 0.9114, 0.8423, 0.8423], q:[0.7808, 0.3769], qb:[0.6231, 0.4655], phi:[0.4384]] | 2*t^2.527 + t^2.631 + t^2.734 + t^3. + t^3.577 + t^3.739 + t^3.842 + t^4.108 + t^4.212 + t^4.315 + t^4.581 + 4*t^5.054 + 2*t^5.158 + 2*t^5.261 + t^5.365 + t^5.468 + t^5.527 + t^5.631 - 2*t^6. - t^4.315/y - t^4.315*y | detail |