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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6275 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{7}$ + ${ }M_{2}X_{1}$ + ${ }M_{1}M_{8}$ + ${ }M_{3}M_{7}$ + ${ }M_{9}\phi_{1}q_{1}^{2}$ | 0.6005 | 0.7917 | 0.7585 | [X:[1.2648], M:[1.2253, 0.7352, 1.2253, 0.7352, 1.2648, 0.6956, 0.7747, 0.7747, 0.6956], q:[0.4071, 0.3676], qb:[0.3676, 0.8972], phi:[0.4901]] | [X:[[6]], M:[[-10], [-6], [-10], [-6], [6], [-22], [10], [10], [-22]], q:[[13], [-3]], qb:[[-3], [9]], phi:[[-4]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}M_{6}$, ${ }M_{9}$, ${ }M_{4}$, ${ }M_{7}$, ${ }M_{8}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }X_{1}$, ${ }M_{6}^{2}$, ${ }M_{6}M_{9}$, ${ }M_{9}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{4}M_{9}$, ${ }M_{4}^{2}$, ${ }M_{6}M_{7}$, ${ }M_{6}M_{8}$, ${ }M_{7}M_{9}$, ${ }M_{8}M_{9}$, ${ }M_{4}M_{7}$, ${ }M_{4}M_{8}$, ${ }M_{7}^{2}$, ${ }M_{7}M_{8}$, ${ }M_{8}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{9}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{8}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}M_{6}$, ${ }M_{3}M_{9}$, ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{9}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{9}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{5}M_{6}$, ${ }M_{5}M_{9}$, ${ }\phi_{1}^{4}$, ${ }M_{6}\phi_{1}q_{1}q_{2}$, ${ }M_{9}\phi_{1}q_{1}q_{2}$, ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{9}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}X_{1}$, ${ }M_{9}X_{1}$ | ${}M_{3}M_{8}$, ${ }M_{4}\phi_{1}q_{1}q_{2}$, ${ }M_{4}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}X_{1}$ | 1 | 2*t^2.087 + t^2.206 + 2*t^2.324 + t^2.941 + 3*t^3.676 + 4*t^3.794 + 3*t^4.174 + 2*t^4.292 + 3*t^4.411 + t^4.53 + 3*t^4.648 + 2*t^5.028 + t^5.146 + 4*t^5.265 + t^5.383 + 6*t^5.763 + 8*t^5.881 + t^6. + 4*t^6.119 + 4*t^6.261 + 3*t^6.379 + 4*t^6.498 + 5*t^6.617 + 5*t^6.735 + 3*t^6.972 + 3*t^7.114 + 2*t^7.233 + 10*t^7.352 + 7*t^7.47 + 6*t^7.589 + 9*t^7.85 + 12*t^7.968 - t^8.087 + 2*t^8.206 - 6*t^8.324 + 5*t^8.347 + 3*t^8.443 + 4*t^8.466 + 5*t^8.585 + 9*t^8.703 + 7*t^8.822 + 3*t^8.941 - t^4.47/y - (2*t^6.557)/y + t^7.174/y + (2*t^7.292)/y + (3*t^7.411)/y + (3*t^7.53)/y + t^7.648/y + (2*t^8.028)/y + t^8.146/y + (2*t^8.265)/y + (2*t^8.383)/y - (3*t^8.644)/y + (6*t^8.763)/y + (11*t^8.881)/y - t^4.47*y - 2*t^6.557*y + t^7.174*y + 2*t^7.292*y + 3*t^7.411*y + 3*t^7.53*y + t^7.648*y + 2*t^8.028*y + t^8.146*y + 2*t^8.265*y + 2*t^8.383*y - 3*t^8.644*y + 6*t^8.763*y + 11*t^8.881*y | (2*t^2.087)/g1^22 + t^2.206/g1^6 + 2*g1^10*t^2.324 + t^2.941/g1^8 + (3*t^3.676)/g1^10 + 4*g1^6*t^3.794 + (3*t^4.174)/g1^44 + (2*t^4.292)/g1^28 + (3*t^4.411)/g1^12 + g1^4*t^4.53 + 3*g1^20*t^4.648 + (2*t^5.028)/g1^30 + t^5.146/g1^14 + 4*g1^2*t^5.265 + g1^18*t^5.383 + (6*t^5.763)/g1^32 + (8*t^5.881)/g1^16 + t^6. + 4*g1^16*t^6.119 + (4*t^6.261)/g1^66 + (3*t^6.379)/g1^50 + (4*t^6.498)/g1^34 + (5*t^6.617)/g1^18 + (5*t^6.735)/g1^2 + 3*g1^30*t^6.972 + (3*t^7.114)/g1^52 + (2*t^7.233)/g1^36 + (10*t^7.352)/g1^20 + (7*t^7.47)/g1^4 + 6*g1^12*t^7.589 + (9*t^7.85)/g1^54 + (12*t^7.968)/g1^38 - t^8.087/g1^22 + (2*t^8.206)/g1^6 - 6*g1^10*t^8.324 + (5*t^8.347)/g1^88 + 3*g1^26*t^8.443 + (4*t^8.466)/g1^72 + (5*t^8.585)/g1^56 + (9*t^8.703)/g1^40 + (7*t^8.822)/g1^24 + (3*t^8.941)/g1^8 - t^4.47/(g1^4*y) - (2*t^6.557)/(g1^26*y) + t^7.174/(g1^44*y) + (2*t^7.292)/(g1^28*y) + (3*t^7.411)/(g1^12*y) + (3*g1^4*t^7.53)/y + (g1^20*t^7.648)/y + (2*t^8.028)/(g1^30*y) + t^8.146/(g1^14*y) + (2*g1^2*t^8.265)/y + (2*g1^18*t^8.383)/y - (3*t^8.644)/(g1^48*y) + (6*t^8.763)/(g1^32*y) + (11*t^8.881)/(g1^16*y) - (t^4.47*y)/g1^4 - (2*t^6.557*y)/g1^26 + (t^7.174*y)/g1^44 + (2*t^7.292*y)/g1^28 + (3*t^7.411*y)/g1^12 + 3*g1^4*t^7.53*y + g1^20*t^7.648*y + (2*t^8.028*y)/g1^30 + (t^8.146*y)/g1^14 + 2*g1^2*t^8.265*y + 2*g1^18*t^8.383*y - (3*t^8.644*y)/g1^48 + (6*t^8.763*y)/g1^32 + (11*t^8.881*y)/g1^16 |
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 |
---|---|---|---|---|---|---|---|---|---|
4708 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{7}$ + ${ }M_{2}X_{1}$ + ${ }M_{1}M_{8}$ + ${ }M_{3}M_{7}$ | 0.58 | 0.7521 | 0.7711 | [X:[1.2619], M:[1.2302, 0.7381, 1.2302, 0.7381, 1.2619, 0.7065, 0.7698, 0.7698], q:[0.4007, 0.3691], qb:[0.3691, 0.8928], phi:[0.4921]] | t^2.12 + t^2.214 + 2*t^2.309 + t^2.953 + 3*t^3.691 + 4*t^3.786 + t^3.88 + t^4.239 + t^4.334 + t^4.429 + t^4.524 + 3*t^4.619 + t^5.072 + t^5.167 + 4*t^5.262 + t^5.357 + 3*t^5.81 + 4*t^5.905 + 2*t^6. - t^4.476/y - t^4.476*y | detail |