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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6915 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}X_{1}$ + ${ }M_{5}M_{6}$ + ${ }M_{6}M_{7}$ + ${ }M_{8}q_{1}\tilde{q}_{2}$ + ${ }M_{9}X_{1}$ | 0.7316 | 0.9195 | 0.7956 | [X:[1.2888], M:[0.9927, 0.7258, 1.0073, 0.7112, 0.9927, 1.0073, 0.9927, 0.7112, 0.7112], q:[0.5037, 0.5037], qb:[0.489, 0.7852], phi:[0.4296]] | [X:[[6]], M:[[-14], [22], [14], [-6], [-14], [14], [-14], [-6], [-6]], q:[[7], [7]], qb:[[-21], [-1]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}M_{8}$, ${ }M_{9}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{5}$, ${ }M_{7}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{8}^{2}$, ${ }M_{8}M_{9}$, ${ }M_{9}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{8}$, ${ }M_{2}M_{9}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{2}^{2}$, ${ }M_{8}\phi_{1}^{2}$, ${ }M_{9}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{8}$, ${ }M_{5}M_{8}$, ${ }M_{7}M_{8}$, ${ }M_{1}M_{9}$, ${ }M_{5}M_{9}$, ${ }M_{7}M_{9}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{5}$, ${ }M_{2}M_{7}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{5}M_{7}$, ${ }M_{7}^{2}$ | ${}$ | -5 | 2*t^2.133 + t^2.177 + t^2.578 + 3*t^2.978 + t^4.223 + 5*t^4.267 + 5*t^4.311 + t^4.355 + 2*t^4.711 + t^4.755 + 6*t^5.112 + 4*t^5.155 + 3*t^5.556 + 4*t^5.956 - 5*t^6. - 2*t^6.044 + 2*t^6.356 + 8*t^6.4 + 9*t^6.444 + 5*t^6.488 + t^6.532 + t^6.801 + 2*t^6.845 + 4*t^6.888 + t^6.932 + 3*t^7.201 + 12*t^7.245 + 11*t^7.289 + 2*t^7.333 - t^7.645 + 4*t^7.689 + t^7.733 + 6*t^8.09 - 7*t^8.133 - 11*t^8.177 - 2*t^8.221 + t^8.446 + 5*t^8.49 + 17*t^8.534 + 10*t^8.578 + 12*t^8.622 + 5*t^8.665 + t^8.709 + 6*t^8.934 - 10*t^8.978 - t^4.289/y - (2*t^6.422)/y - t^6.466/y - t^6.867/y + (3*t^7.311)/y + (3*t^7.711)/y + t^7.755/y + (7*t^8.112)/y + (5*t^8.155)/y - (2*t^8.6)/y - t^8.644/y + (3*t^8.956)/y - t^4.289*y - 2*t^6.422*y - t^6.466*y - t^6.867*y + 3*t^7.311*y + 3*t^7.711*y + t^7.755*y + 7*t^8.112*y + 5*t^8.155*y - 2*t^8.6*y - t^8.644*y + 3*t^8.956*y | (2*t^2.133)/g1^6 + g1^22*t^2.177 + g1^4*t^2.578 + (3*t^2.978)/g1^14 + t^4.223/g1^40 + (5*t^4.267)/g1^12 + 5*g1^16*t^4.311 + g1^44*t^4.355 + (2*t^4.711)/g1^2 + g1^26*t^4.755 + (6*t^5.112)/g1^20 + 4*g1^8*t^5.155 + (3*t^5.556)/g1^10 + (4*t^5.956)/g1^28 - 5*t^6. - 2*g1^28*t^6.044 + (2*t^6.356)/g1^46 + (8*t^6.4)/g1^18 + 9*g1^10*t^6.444 + 5*g1^38*t^6.488 + g1^66*t^6.532 + t^6.801/g1^36 + (2*t^6.845)/g1^8 + 4*g1^20*t^6.888 + g1^48*t^6.932 + (3*t^7.201)/g1^54 + (12*t^7.245)/g1^26 + 11*g1^2*t^7.289 + 2*g1^30*t^7.333 - t^7.645/g1^44 + (4*t^7.689)/g1^16 + g1^12*t^7.733 + (6*t^8.09)/g1^34 - (7*t^8.133)/g1^6 - 11*g1^22*t^8.177 - 2*g1^50*t^8.221 + t^8.446/g1^80 + (5*t^8.49)/g1^52 + (17*t^8.534)/g1^24 + 10*g1^4*t^8.578 + 12*g1^32*t^8.622 + 5*g1^60*t^8.665 + g1^88*t^8.709 + (6*t^8.934)/g1^42 - (10*t^8.978)/g1^14 - (g1^2*t^4.289)/y - (2*t^6.422)/(g1^4*y) - (g1^24*t^6.466)/y - (g1^6*t^6.867)/y + (3*g1^16*t^7.311)/y + (3*t^7.711)/(g1^2*y) + (g1^26*t^7.755)/y + (7*t^8.112)/(g1^20*y) + (5*g1^8*t^8.155)/y - (2*g1^18*t^8.6)/y - (g1^46*t^8.644)/y + (3*t^8.956)/(g1^28*y) - g1^2*t^4.289*y - (2*t^6.422*y)/g1^4 - g1^24*t^6.466*y - g1^6*t^6.867*y + 3*g1^16*t^7.311*y + (3*t^7.711*y)/g1^2 + g1^26*t^7.755*y + (7*t^8.112*y)/g1^20 + 5*g1^8*t^8.155*y - 2*g1^18*t^8.6*y - g1^46*t^8.644*y + (3*t^8.956*y)/g1^28 |
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 |
---|---|---|---|---|---|---|---|---|---|
5455 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}X_{1}$ + ${ }M_{5}M_{6}$ + ${ }M_{6}M_{7}$ + ${ }M_{8}q_{1}\tilde{q}_{2}$ | 0.7113 | 0.8811 | 0.8072 | [X:[1.2881], M:[0.9944, 0.7232, 1.0056, 0.7119, 0.9944, 1.0056, 0.9944, 0.7119], q:[0.5028, 0.5028], qb:[0.4915, 0.7853], phi:[0.4294]] | t^2.136 + t^2.169 + t^2.576 + 3*t^2.983 + t^3.864 + t^4.237 + 3*t^4.271 + 4*t^4.305 + t^4.339 + t^4.712 + t^4.746 + 3*t^5.119 + 4*t^5.153 + 3*t^5.559 + 4*t^5.966 - 4*t^6. - t^4.288/y - t^4.288*y | detail | {a: 118847/167088, c: 73613/83544, X1: 76/59, M1: 176/177, M2: 128/177, M3: 178/177, M4: 42/59, M5: 176/177, M6: 178/177, M7: 176/177, M8: 42/59, q1: 89/177, q2: 89/177, qb1: 29/59, qb2: 139/177, phi1: 76/177} |