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 |
---|---|---|---|---|---|---|---|---|---|
1899 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ | 0.6244 | 0.811 | 0.77 | [M:[0.9923, 1.023, 1.0077, 0.7481, 0.7634], q:[0.7481, 0.2596], qb:[0.4885, 0.4885], phi:[0.5038]] | [M:[[4], [-12], [-4], [1], [-7]], q:[[1], [-5]], qb:[[6], [6]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{5}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{2}M_{5}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ | ${}M_{5}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ | -2 | 3*t^2.244 + t^2.29 + 2*t^3.023 + 2*t^3.069 + t^3.71 + t^3.756 + 3*t^4.443 + 6*t^4.489 + 3*t^4.534 + t^4.58 + 6*t^5.267 + 6*t^5.313 + 2*t^5.359 + 2*t^5.954 - 2*t^6. + 2*t^6.046 + 4*t^6.092 + 3*t^6.138 + 5*t^6.687 + 11*t^6.733 + 6*t^6.779 + 3*t^6.825 + t^6.87 - 2*t^7.42 + 2*t^7.466 + 11*t^7.511 + 12*t^7.557 + 6*t^7.603 + 2*t^7.649 + t^8.152 - 10*t^8.244 + t^8.29 + 10*t^8.336 + 9*t^8.382 + 3*t^8.428 + 5*t^8.885 + 6*t^8.931 + 13*t^8.977 - t^4.511/y - t^6.756/y - t^6.802/y + t^7.443/y + (4*t^7.489)/y + (2*t^7.534)/y - t^7.58/y + t^8.221/y + (7*t^8.267)/y + (8*t^8.313)/y + (2*t^8.359)/y + (3*t^8.954)/y - t^4.511*y - t^6.756*y - t^6.802*y + t^7.443*y + 4*t^7.489*y + 2*t^7.534*y - t^7.58*y + t^8.221*y + 7*t^8.267*y + 8*t^8.313*y + 2*t^8.359*y + 3*t^8.954*y | 3*g1*t^2.244 + t^2.29/g1^7 + (2*t^3.023)/g1^4 + (2*t^3.069)/g1^12 + g1^7*t^3.71 + t^3.756/g1 + 3*g1^10*t^4.443 + 6*g1^2*t^4.489 + (3*t^4.534)/g1^6 + t^4.58/g1^14 + (6*t^5.267)/g1^3 + (6*t^5.313)/g1^11 + (2*t^5.359)/g1^19 + 2*g1^8*t^5.954 - 2*t^6. + (2*t^6.046)/g1^8 + (4*t^6.092)/g1^16 + (3*t^6.138)/g1^24 + 5*g1^11*t^6.687 + 11*g1^3*t^6.733 + (6*t^6.779)/g1^5 + (3*t^6.825)/g1^13 + t^6.87/g1^21 - 2*g1^14*t^7.42 + 2*g1^6*t^7.466 + (11*t^7.511)/g1^2 + (12*t^7.557)/g1^10 + (6*t^7.603)/g1^18 + (2*t^7.649)/g1^26 + g1^17*t^8.152 - 10*g1*t^8.244 + t^8.29/g1^7 + (10*t^8.336)/g1^15 + (9*t^8.382)/g1^23 + (3*t^8.428)/g1^31 + 5*g1^20*t^8.885 + 6*g1^12*t^8.931 + 13*g1^4*t^8.977 - t^4.511/(g1^2*y) - t^6.756/(g1*y) - t^6.802/(g1^9*y) + (g1^10*t^7.443)/y + (4*g1^2*t^7.489)/y + (2*t^7.534)/(g1^6*y) - t^7.58/(g1^14*y) + (g1^5*t^8.221)/y + (7*t^8.267)/(g1^3*y) + (8*t^8.313)/(g1^11*y) + (2*t^8.359)/(g1^19*y) + (3*g1^8*t^8.954)/y - (t^4.511*y)/g1^2 - (t^6.756*y)/g1 - (t^6.802*y)/g1^9 + g1^10*t^7.443*y + 4*g1^2*t^7.489*y + (2*t^7.534*y)/g1^6 - (t^7.58*y)/g1^14 + g1^5*t^8.221*y + (7*t^8.267*y)/g1^3 + (8*t^8.313*y)/g1^11 + (2*t^8.359*y)/g1^19 + 3*g1^8*t^8.954*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 |
---|---|---|---|---|---|---|---|---|
2923 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ | 0.6116 | 0.7925 | 0.7717 | [M:[0.9474, 1.1579, 1.0526, 0.7368, 0.8421], q:[0.7368, 0.3158], qb:[0.4211, 0.4211], phi:[0.5263]] | 3*t^2.211 + t^2.526 + 2*t^3.158 + 3*t^3.474 + t^3.789 + 3*t^4.105 + 6*t^4.421 + 3*t^4.737 + t^5.053 + 6*t^5.368 + 8*t^5.684 - t^4.579/y - t^4.579*y | detail | {a: 67119/109744, c: 43487/54872, M1: 18/19, M2: 22/19, M3: 20/19, M4: 14/19, M5: 16/19, q1: 14/19, q2: 6/19, qb1: 8/19, qb2: 8/19, phi1: 10/19} |
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 |
---|---|---|---|---|---|---|---|---|---|
542 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6062 | 0.7779 | 0.7793 | [M:[0.9855, 1.0434, 1.0145, 0.7464], q:[0.7464, 0.2681], qb:[0.4783, 0.4783], phi:[0.5072]] | 3*t^2.239 + 2*t^3.043 + 2*t^3.13 + 2*t^3.674 + t^3.761 + 3*t^4.391 + 6*t^4.478 + 6*t^5.283 + 4*t^5.369 + 5*t^5.913 - 3*t^6. - t^4.522/y - t^4.522*y | detail |