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 |
---|---|---|---|---|---|---|---|---|---|
46433 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6053 | 0.7762 | 0.7798 | [M:[0.9931, 0.7621, 1.0069, 1.0207], q:[0.7483, 0.2586], qb:[0.4897, 0.4897], phi:[0.5034]] | [M:[[4], [-7], [-4], [-12]], q:[[1], [-5]], qb:[[6], [6]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{2}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}\phi_{1}q_{2}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ | ${}\phi_{1}q_{2}^{2}\tilde{q}_{1}^{2}$ | -1 | 2*t^2.245 + t^2.286 + 2*t^3.021 + 2*t^3.062 + t^3.714 + 2*t^3.755 + 3*t^4.448 + 3*t^4.49 + 2*t^4.531 + t^4.572 + 4*t^5.266 + 4*t^5.307 + 2*t^5.348 + t^5.959 - t^6. + 3*t^6.041 + 4*t^6.083 + 3*t^6.124 + 2*t^6.693 + 5*t^6.734 + 5*t^6.776 + 4*t^6.817 + t^6.859 - 2*t^7.428 + 3*t^7.469 + 7*t^7.51 + 6*t^7.552 + 4*t^7.593 + 2*t^7.634 + t^8.162 + t^8.203 - 5*t^8.245 + t^8.286 + 7*t^8.328 + 6*t^8.369 + 3*t^8.41 + 5*t^8.897 + t^8.938 + 2*t^8.979 - t^4.51/y - t^6.797/y + t^7.448/y + (2*t^7.49)/y + t^7.531/y - t^7.572/y + t^8.224/y + (4*t^8.266)/y + (6*t^8.307)/y + (2*t^8.348)/y + (2*t^8.959)/y - t^4.51*y - t^6.797*y + t^7.448*y + 2*t^7.49*y + t^7.531*y - t^7.572*y + t^8.224*y + 4*t^8.266*y + 6*t^8.307*y + 2*t^8.348*y + 2*t^8.959*y | 2*g1*t^2.245 + t^2.286/g1^7 + (2*t^3.021)/g1^4 + (2*t^3.062)/g1^12 + g1^7*t^3.714 + (2*t^3.755)/g1 + 3*g1^10*t^4.448 + 3*g1^2*t^4.49 + (2*t^4.531)/g1^6 + t^4.572/g1^14 + (4*t^5.266)/g1^3 + (4*t^5.307)/g1^11 + (2*t^5.348)/g1^19 + g1^8*t^5.959 - t^6. + (3*t^6.041)/g1^8 + (4*t^6.083)/g1^16 + (3*t^6.124)/g1^24 + 2*g1^11*t^6.693 + 5*g1^3*t^6.734 + (5*t^6.776)/g1^5 + (4*t^6.817)/g1^13 + t^6.859/g1^21 - 2*g1^14*t^7.428 + 3*g1^6*t^7.469 + (7*t^7.51)/g1^2 + (6*t^7.552)/g1^10 + (4*t^7.593)/g1^18 + (2*t^7.634)/g1^26 + g1^17*t^8.162 + g1^9*t^8.203 - 5*g1*t^8.245 + t^8.286/g1^7 + (7*t^8.328)/g1^15 + (6*t^8.369)/g1^23 + (3*t^8.41)/g1^31 + 5*g1^20*t^8.897 + g1^12*t^8.938 + 2*g1^4*t^8.979 - t^4.51/(g1^2*y) - t^6.797/(g1^9*y) + (g1^10*t^7.448)/y + (2*g1^2*t^7.49)/y + t^7.531/(g1^6*y) - t^7.572/(g1^14*y) + (g1^5*t^8.224)/y + (4*t^8.266)/(g1^3*y) + (6*t^8.307)/(g1^11*y) + (2*t^8.348)/(g1^19*y) + (2*g1^8*t^8.959)/y - (t^4.51*y)/g1^2 - (t^6.797*y)/g1^9 + g1^10*t^7.448*y + 2*g1^2*t^7.49*y + (t^7.531*y)/g1^6 - (t^7.572*y)/g1^14 + g1^5*t^8.224*y + (4*t^8.266*y)/g1^3 + (6*t^8.307*y)/g1^11 + (2*t^8.348*y)/g1^19 + 2*g1^8*t^8.959*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 |
---|---|---|---|---|---|---|---|---|
47222 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{4}$ | 0.5921 | 0.7565 | 0.7826 | [M:[0.9474, 0.8421, 1.0526, 1.1579], q:[0.7368, 0.3158], qb:[0.4211, 0.4211], phi:[0.5263]] | 2*t^2.211 + t^2.526 + 2*t^3.158 + 3*t^3.474 + 2*t^3.789 + 3*t^4.105 + 3*t^4.421 + 2*t^4.737 + t^5.053 + 4*t^5.368 + 5*t^5.684 + t^6. - t^4.579/y - t^4.579*y | detail | {a: 32487/54872, c: 5189/6859, M1: 18/19, M2: 16/19, M3: 20/19, M4: 22/19, q1: 14/19, q2: 6/19, qb1: 8/19, qb2: 8/19, phi1: 10/19} |
47170 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6244 | 0.811 | 0.77 | [M:[0.9923, 0.7634, 1.0077, 1.023, 0.7481], q:[0.7481, 0.2596], qb:[0.4885, 0.4885], phi:[0.5038]] | 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. - t^4.511/y - t^4.511*y | detail |
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 |
---|---|---|---|---|---|---|---|---|---|
46126 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ | 0.6101 | 0.7833 | 0.7789 | [M:[0.9726, 0.798, 1.0274], q:[0.7431, 0.2843], qb:[0.4589, 0.4589], phi:[0.5137]] | 2*t^2.229 + t^2.394 + t^2.753 + 2*t^3.082 + t^3.247 + t^3.606 + 2*t^3.771 + 3*t^4.294 + 3*t^4.459 + 2*t^4.623 + t^4.788 + 2*t^4.983 + t^5.147 + 4*t^5.312 + 2*t^5.476 + t^5.506 + t^5.641 + 3*t^5.835 - t^4.541/y - t^4.541*y | detail |