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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5066 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{6}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}M_{8}$ | 0.6177 | 0.7989 | 0.7732 | [M:[1.0242, 0.6763, 0.9758, 0.7246, 1.2754, 1.0242, 0.8019, 0.7246], q:[0.6377, 0.3382], qb:[0.3865, 0.9372], phi:[0.4251]] | [M:[[14], [-22], [-14], [6], [-6], [14], [-32], [6]], q:[[-3], [-11]], qb:[[17], [5]], phi:[[-2]]] | 1 | {a: 2941/4761, c: 7607/9522, M1: 212/207, M2: 140/207, M3: 202/207, M4: 50/69, M5: 88/69, M6: 212/207, M7: 166/207, M8: 50/69, q1: 44/69, q2: 70/207, qb1: 80/207, qb2: 194/207, phi1: 88/207} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}M_{2}$, ${ }M_{4}$, ${ }M_{8}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{6}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{8}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{8}$, ${ }M_{8}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}M_{7}$, ${ }M_{4}M_{7}$, ${ }M_{7}M_{8}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{8}\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{7}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}M_{6}$, ${ }M_{1}M_{8}$, ${ }M_{6}M_{8}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{8}\phi_{1}q_{2}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{7}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}^{3}q_{2}^{2}$, ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{1}$ | ${}\phi_{1}^{3}q_{2}\tilde{q}_{1}$ | -2 | t^2.029 + 2*t^2.174 + t^2.406 + t^2.551 + 2*t^3.072 + t^3.304 + t^3.449 + t^4.058 + 2*t^4.203 + 3*t^4.348 + t^4.435 + 3*t^4.58 + 3*t^4.725 + t^4.812 + t^4.957 + 3*t^5.101 + 4*t^5.246 + t^5.333 + 4*t^5.478 + 3*t^5.623 + t^5.71 + t^5.855 - 2*t^6. + t^6.087 + 2*t^6.145 + 2*t^6.232 + 3*t^6.377 + t^6.464 + 4*t^6.522 + 4*t^6.609 + 5*t^6.754 + t^6.841 + 2*t^6.899 + 3*t^6.986 - t^7.043 + 5*t^7.13 + t^7.217 + 4*t^7.275 + 2*t^7.362 + 4*t^7.42 + 5*t^7.507 + 7*t^7.652 + t^7.739 + 5*t^7.797 + 4*t^7.884 + 2*t^8.116 - 2*t^8.174 + 3*t^8.261 + 3*t^8.319 + t^8.406 + t^8.493 + 2*t^8.551 + 4*t^8.638 + 4*t^8.696 + 6*t^8.783 + t^8.87 + 2*t^8.928 - t^4.275/y - t^6.304/y - t^6.449/y - t^6.681/y - t^6.826/y + (3*t^7.203)/y + t^7.435/y + (3*t^7.58)/y + (3*t^7.725)/y + t^7.87/y + t^7.957/y + (3*t^8.101)/y + (5*t^8.246)/y + (4*t^8.478)/y + (3*t^8.623)/y - t^4.275*y - t^6.304*y - t^6.449*y - t^6.681*y - t^6.826*y + 3*t^7.203*y + t^7.435*y + 3*t^7.58*y + 3*t^7.725*y + t^7.87*y + t^7.957*y + 3*t^8.101*y + 5*t^8.246*y + 4*t^8.478*y + 3*t^8.623*y | t^2.029/g1^22 + 2*g1^6*t^2.174 + t^2.406/g1^32 + t^2.551/g1^4 + 2*g1^14*t^3.072 + t^3.304/g1^24 + g1^4*t^3.449 + t^4.058/g1^44 + (2*t^4.203)/g1^16 + 3*g1^12*t^4.348 + t^4.435/g1^54 + (3*t^4.58)/g1^26 + 3*g1^2*t^4.725 + t^4.812/g1^64 + t^4.957/g1^36 + (3*t^5.101)/g1^8 + 4*g1^20*t^5.246 + t^5.333/g1^46 + (4*t^5.478)/g1^18 + 3*g1^10*t^5.623 + t^5.71/g1^56 + t^5.855/g1^28 - 2*t^6. + t^6.087/g1^66 + 2*g1^28*t^6.145 + (2*t^6.232)/g1^38 + (3*t^6.377)/g1^10 + t^6.464/g1^76 + 4*g1^18*t^6.522 + (4*t^6.609)/g1^48 + (5*t^6.754)/g1^20 + t^6.841/g1^86 + 2*g1^8*t^6.899 + (3*t^6.986)/g1^58 - g1^36*t^7.043 + (5*t^7.13)/g1^30 + t^7.217/g1^96 + (4*t^7.275)/g1^2 + (2*t^7.362)/g1^68 + 4*g1^26*t^7.42 + (5*t^7.507)/g1^40 + (7*t^7.652)/g1^12 + t^7.739/g1^78 + 5*g1^16*t^7.797 + (4*t^7.884)/g1^50 + (2*t^8.116)/g1^88 - 2*g1^6*t^8.174 + (3*t^8.261)/g1^60 + 3*g1^34*t^8.319 + t^8.406/g1^32 + t^8.493/g1^98 + (2*t^8.551)/g1^4 + (4*t^8.638)/g1^70 + 4*g1^24*t^8.696 + (6*t^8.783)/g1^42 + t^8.87/g1^108 + (2*t^8.928)/g1^14 - t^4.275/(g1^2*y) - t^6.304/(g1^24*y) - (g1^4*t^6.449)/y - t^6.681/(g1^34*y) - t^6.826/(g1^6*y) + (3*t^7.203)/(g1^16*y) + t^7.435/(g1^54*y) + (3*t^7.58)/(g1^26*y) + (3*g1^2*t^7.725)/y + (g1^30*t^7.87)/y + t^7.957/(g1^36*y) + (3*t^8.101)/(g1^8*y) + (5*g1^20*t^8.246)/y + (4*t^8.478)/(g1^18*y) + (3*g1^10*t^8.623)/y - (t^4.275*y)/g1^2 - (t^6.304*y)/g1^24 - g1^4*t^6.449*y - (t^6.681*y)/g1^34 - (t^6.826*y)/g1^6 + (3*t^7.203*y)/g1^16 + (t^7.435*y)/g1^54 + (3*t^7.58*y)/g1^26 + 3*g1^2*t^7.725*y + g1^30*t^7.87*y + (t^7.957*y)/g1^36 + (3*t^8.101*y)/g1^8 + 5*g1^20*t^8.246*y + (4*t^8.478*y)/g1^18 + 3*g1^10*t^8.623*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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
3189 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{6}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ | 0.5978 | 0.762 | 0.7845 | [M:[1.0258, 0.6737, 0.9742, 0.7254, 1.2746, 1.0258, 0.7981], q:[0.6373, 0.3369], qb:[0.3885, 0.9378], phi:[0.4249]] | t^2.021 + t^2.176 + t^2.394 + t^2.549 + 2*t^3.077 + t^3.296 + t^3.451 + t^3.824 + t^4.042 + t^4.197 + t^4.352 + t^4.415 + 2*t^4.57 + 2*t^4.725 + t^4.789 + t^4.944 + 3*t^5.099 + 2*t^5.254 + t^5.317 + 3*t^5.472 + 2*t^5.627 + t^5.69 + 2*t^5.845 - t^6. - t^4.275/y - t^4.275*y | detail |