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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5501 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{5}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{2}X_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6717 | 0.85 | 0.7902 | [X:[1.6175, 1.3228], M:[0.8526, 0.6772, 1.1474, 0.3825, 0.7649, 0.7211, 0.8526, 0.7211], q:[0.4044, 0.743], qb:[0.4482, 0.8745], phi:[0.3825]] | [X:[[4], [28]], M:[[12], [-28], [-12], [-4], [-8], [-18], [12], [-18]], q:[[1], [-13]], qb:[[11], [17]], phi:[[-4]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}M_{6}$, ${ }M_{8}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{7}$, ${ }\phi_{1}q_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }X_{2}$, ${ }M_{6}^{2}$, ${ }M_{6}M_{8}$, ${ }M_{8}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{5}M_{8}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{8}\phi_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{1}M_{8}$, ${ }M_{7}M_{8}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{5}$, ${ }M_{5}M_{7}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }X_{1}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{7}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}\phi_{1}q_{1}^{2}$, ${ }M_{8}\phi_{1}q_{1}^{2}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{8}q_{2}\tilde{q}_{1}$, ${ }M_{5}\phi_{1}q_{1}^{2}$, ${ }\phi_{1}^{3}q_{1}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ | ${}$ | -3 | 2*t^2.163 + 2*t^2.295 + 2*t^2.558 + 2*t^3.574 + t^3.968 + 3*t^4.326 + 4*t^4.458 + 3*t^4.59 + 4*t^4.721 + 5*t^4.853 + 3*t^5.116 + 3*t^5.737 + 2*t^5.868 - 3*t^6. + 4*t^6.132 + t^6.263 + 4*t^6.49 + 2*t^6.526 + 6*t^6.621 + 6*t^6.753 + 9*t^6.884 + 8*t^7.016 + 8*t^7.147 + 2*t^7.279 + 4*t^7.41 + 3*t^7.674 + 4*t^7.9 + t^7.937 + 2*t^8.032 - 4*t^8.163 - t^8.295 + 2*t^8.426 - 7*t^8.558 + 5*t^8.653 + 4*t^8.689 + 8*t^8.784 + 2*t^8.821 + 9*t^8.916 - t^4.147/y - (2*t^6.311)/y - (2*t^6.442)/y - t^6.705/y + t^7.326/y + (4*t^7.458)/y + (2*t^7.59)/y + (4*t^7.721)/y + (6*t^7.853)/y + (2*t^7.984)/y + t^8.116/y - (3*t^8.474)/y - (4*t^8.605)/y + t^8.737/y + (2*t^8.868)/y - t^4.147*y - 2*t^6.311*y - 2*t^6.442*y - t^6.705*y + t^7.326*y + 4*t^7.458*y + 2*t^7.59*y + 4*t^7.721*y + 6*t^7.853*y + 2*t^7.984*y + t^8.116*y - 3*t^8.474*y - 4*t^8.605*y + t^8.737*y + 2*t^8.868*y | (2*t^2.163)/g1^18 + (2*t^2.295)/g1^8 + 2*g1^12*t^2.558 + (2*t^3.574)/g1^2 + g1^28*t^3.968 + (3*t^4.326)/g1^36 + (4*t^4.458)/g1^26 + (3*t^4.59)/g1^16 + (4*t^4.721)/g1^6 + 5*g1^4*t^4.853 + 3*g1^24*t^5.116 + (3*t^5.737)/g1^20 + (2*t^5.868)/g1^10 - 3*t^6. + 4*g1^10*t^6.132 + g1^20*t^6.263 + (4*t^6.49)/g1^54 + 2*g1^40*t^6.526 + (6*t^6.621)/g1^44 + (6*t^6.753)/g1^34 + (9*t^6.884)/g1^24 + (8*t^7.016)/g1^14 + (8*t^7.147)/g1^4 + 2*g1^6*t^7.279 + 4*g1^16*t^7.41 + 3*g1^36*t^7.674 + (4*t^7.9)/g1^38 + g1^56*t^7.937 + (2*t^8.032)/g1^28 - (4*t^8.163)/g1^18 - t^8.295/g1^8 + 2*g1^2*t^8.426 - 7*g1^12*t^8.558 + (5*t^8.653)/g1^72 + 4*g1^22*t^8.689 + (8*t^8.784)/g1^62 + 2*g1^32*t^8.821 + (9*t^8.916)/g1^52 - t^4.147/(g1^4*y) - (2*t^6.311)/(g1^22*y) - (2*t^6.442)/(g1^12*y) - (g1^8*t^6.705)/y + t^7.326/(g1^36*y) + (4*t^7.458)/(g1^26*y) + (2*t^7.59)/(g1^16*y) + (4*t^7.721)/(g1^6*y) + (6*g1^4*t^7.853)/y + (2*g1^14*t^7.984)/y + (g1^24*t^8.116)/y - (3*t^8.474)/(g1^40*y) - (4*t^8.605)/(g1^30*y) + t^8.737/(g1^20*y) + (2*t^8.868)/(g1^10*y) - (t^4.147*y)/g1^4 - (2*t^6.311*y)/g1^22 - (2*t^6.442*y)/g1^12 - g1^8*t^6.705*y + (t^7.326*y)/g1^36 + (4*t^7.458*y)/g1^26 + (2*t^7.59*y)/g1^16 + (4*t^7.721*y)/g1^6 + 6*g1^4*t^7.853*y + 2*g1^14*t^7.984*y + g1^24*t^8.116*y - (3*t^8.474*y)/g1^40 - (4*t^8.605*y)/g1^30 + (t^8.737*y)/g1^20 + (2*t^8.868*y)/g1^10 |
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 |
---|---|---|---|---|---|---|---|---|---|
3957 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{5}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{2}X_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{7}$ | 0.6518 | 0.8129 | 0.8018 | [X:[1.6149, 1.3042], M:[0.8446, 0.6958, 1.1554, 0.3851, 0.7702, 0.733, 0.8446], q:[0.4037, 0.7516], qb:[0.4409, 0.8633], phi:[0.3851]] | t^2.199 + 2*t^2.311 + 2*t^2.534 + 2*t^3.578 + t^3.801 + t^3.913 + t^4.398 + 2*t^4.51 + 3*t^4.621 + 2*t^4.733 + 5*t^4.845 + 3*t^5.068 + t^5.777 + 2*t^5.888 - 2*t^6. - t^4.155/y - t^4.155*y | detail |