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 |
---|---|---|---|---|---|---|---|---|---|
55620 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{4}M_{6}$ | 0.6914 | 0.848 | 0.8153 | [M:[1.0042, 0.9992, 0.9958, 1.0025, 0.9975, 0.9975], q:[0.5013, 0.4945], qb:[0.4996, 0.503], phi:[0.5004]] | [M:[[10], [-2], [-10], [6], [-6], [-6]], q:[[3], [-13]], qb:[[-1], [7]], phi:[[1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}q_{2}\tilde{q}_{1}$, ${ }M_{3}$, ${ }M_{5}$, ${ }M_{6}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{3}M_{5}$, ${ }M_{3}M_{6}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{3}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{5}$, ${ }M_{2}M_{6}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$ | ${}$ | -2 | t^2.982 + t^2.987 + 2*t^2.992 + t^2.997 + t^3.003 + t^3.013 + t^4.468 + t^4.484 + t^4.489 + t^4.494 + t^4.499 + t^4.504 + 2*t^4.509 + t^4.514 + t^4.519 + t^5.965 + t^5.97 + 2*t^5.975 + 2*t^5.98 + 4*t^5.985 + 2*t^5.99 + t^5.995 - 2*t^6. + t^6.005 - t^6.02 + t^7.451 + t^7.456 + 2*t^7.461 + t^7.466 + 2*t^7.471 + 2*t^7.476 + 3*t^7.481 + 3*t^7.486 + 3*t^7.491 + 2*t^7.496 + 3*t^7.501 + 2*t^7.506 + 3*t^7.511 + t^7.522 + t^7.532 + t^8.937 + t^8.947 + 2*t^8.952 + 3*t^8.957 + 3*t^8.962 + 4*t^8.967 + 3*t^8.972 + 6*t^8.977 + t^8.982 - 4*t^8.992 - t^8.997 - t^4.501/y - t^7.494/y + t^7.509/y + t^8.97/y + (2*t^8.975)/y + (3*t^8.98)/y + (3*t^8.985)/y + (3*t^8.99)/y + (3*t^8.995)/y - t^4.501*y - t^7.494*y + t^7.509*y + t^8.97*y + 2*t^8.975*y + 3*t^8.98*y + 3*t^8.985*y + 3*t^8.99*y + 3*t^8.995*y | t^2.982/g1^14 + t^2.987/g1^10 + (2*t^2.992)/g1^6 + t^2.997/g1^2 + g1^2*t^3.003 + g1^10*t^3.013 + t^4.468/g1^25 + t^4.484/g1^13 + t^4.489/g1^9 + t^4.494/g1^5 + t^4.499/g1 + g1^3*t^4.504 + 2*g1^7*t^4.509 + g1^11*t^4.514 + g1^15*t^4.519 + t^5.965/g1^28 + t^5.97/g1^24 + (2*t^5.975)/g1^20 + (2*t^5.98)/g1^16 + (4*t^5.985)/g1^12 + (2*t^5.99)/g1^8 + t^5.995/g1^4 - 2*t^6. + g1^4*t^6.005 - g1^16*t^6.02 + t^7.451/g1^39 + t^7.456/g1^35 + (2*t^7.461)/g1^31 + t^7.466/g1^27 + (2*t^7.471)/g1^23 + (2*t^7.476)/g1^19 + (3*t^7.481)/g1^15 + (3*t^7.486)/g1^11 + (3*t^7.491)/g1^7 + (2*t^7.496)/g1^3 + 3*g1*t^7.501 + 2*g1^5*t^7.506 + 3*g1^9*t^7.511 + g1^17*t^7.522 + g1^25*t^7.532 + t^8.937/g1^50 + t^8.947/g1^42 + (2*t^8.952)/g1^38 + (3*t^8.957)/g1^34 + (3*t^8.962)/g1^30 + (4*t^8.967)/g1^26 + (3*t^8.972)/g1^22 + (6*t^8.977)/g1^18 + t^8.982/g1^14 - (4*t^8.992)/g1^6 - t^8.997/g1^2 - (g1*t^4.501)/y - t^7.494/(g1^5*y) + (g1^7*t^7.509)/y + t^8.97/(g1^24*y) + (2*t^8.975)/(g1^20*y) + (3*t^8.98)/(g1^16*y) + (3*t^8.985)/(g1^12*y) + (3*t^8.99)/(g1^8*y) + (3*t^8.995)/(g1^4*y) - g1*t^4.501*y - (t^7.494*y)/g1^5 + g1^7*t^7.509*y + (t^8.97*y)/g1^24 + (2*t^8.975*y)/g1^20 + (3*t^8.98*y)/g1^16 + (3*t^8.985*y)/g1^12 + (3*t^8.99*y)/g1^8 + (3*t^8.995*y)/g1^4 |
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 |
---|---|---|---|---|---|---|---|---|
57254 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{4}M_{6}$ + ${ }M_{7}\phi_{1}^{2}$ | 0.6916 | 0.8487 | 0.8149 | [M:[1.009, 0.9982, 0.991, 1.0054, 0.9946, 0.9946, 0.9982], q:[0.5027, 0.4883], qb:[0.4991, 0.5063], phi:[0.5009]] | t^2.962 + t^2.973 + 2*t^2.984 + 2*t^2.995 + t^3.027 + t^4.432 + t^4.465 + t^4.476 + t^4.486 + t^4.497 + t^4.508 + 2*t^4.519 + t^4.53 + t^4.541 + t^5.924 + t^5.935 + 2*t^5.946 + 3*t^5.957 + 4*t^5.968 + 3*t^5.978 + t^5.989 - 3*t^6. - t^4.503/y - t^4.503*y | detail | {a: 378701/547600, c: 232363/273800, M1: 112/111, M2: 554/555, M3: 110/111, M4: 186/185, M5: 184/185, M6: 184/185, M7: 554/555, q1: 93/185, q2: 271/555, qb1: 277/555, qb2: 281/555, phi1: 278/555} |
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 |
---|---|---|---|---|---|---|---|---|---|
47272 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{5}$ | 0.6916 | 0.8474 | 0.8161 | [M:[0.9896, 1.0021, 1.0104, 0.9938, 1.0062], q:[0.4969, 0.5135], qb:[0.501, 0.4927], phi:[0.499]] | t^2.969 + t^2.981 + t^2.994 + t^3.006 + t^3.019 + t^3.031 + t^3.044 + t^4.453 + t^4.466 + 2*t^4.478 + t^4.491 + t^4.503 + t^4.516 + t^4.528 + t^4.54 + t^4.578 + t^5.963 + t^5.975 + t^5.988 - t^6. - t^4.497/y - t^4.497*y | detail |