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 |
---|---|---|---|---|---|---|---|---|---|
1555 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}M_{7}$ | 0.7032 | 0.8896 | 0.7905 | [M:[0.9794, 0.7444, 0.8806, 0.8433, 1.1567, 0.7258, 0.8433], q:[0.6484, 0.3722], qb:[0.4711, 0.7845], phi:[0.431]] | [M:[[2, -14], [-2, -2], [-1, -15], [1, -1], [-1, 1], [-1, 5], [1, -1]], q:[[-1, 15], [-1, -1]], qb:[[2, 0], [0, 2]], phi:[[0, -4]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{6}$, ${ }M_{2}$, ${ }M_{4}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}M_{6}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{7}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{7}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{7}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{2}\phi_{1}q_{2}^{2}$, ${ }M_{1}^{2}$ | ${}$ | -3 | t^2.177 + t^2.233 + 2*t^2.53 + t^2.586 + t^2.642 + t^2.938 + t^3.526 + t^4.119 + t^4.299 + 2*t^4.355 + t^4.411 + t^4.467 + t^4.651 + 2*t^4.707 + 3*t^4.763 + 2*t^4.819 + t^4.875 + 3*t^5.06 + 3*t^5.116 + 3*t^5.172 + t^5.183 + t^5.228 + t^5.283 + t^5.468 + t^5.524 + t^5.58 + t^5.759 + t^5.877 - 3*t^6. + t^6.056 + t^6.112 + t^6.168 - t^6.408 + t^6.476 + 2*t^6.532 + 2*t^6.588 + t^6.644 + 2*t^6.649 + t^6.7 + t^6.705 + t^6.828 + 4*t^6.884 + 3*t^6.94 + 4*t^6.996 + 3*t^7.052 + t^7.058 + t^7.108 + t^7.181 + 3*t^7.237 + 5*t^7.293 + 5*t^7.349 + t^7.36 + 4*t^7.405 + t^7.416 + 2*t^7.461 + t^7.517 - t^7.533 + 3*t^7.589 + 4*t^7.645 + 5*t^7.701 + t^7.713 + 4*t^7.757 + 3*t^7.813 + t^7.869 + t^7.881 + t^7.925 + t^7.993 + t^7.998 + 2*t^8.054 - t^8.065 + 3*t^8.11 - 2*t^8.121 + t^8.166 - 4*t^8.177 + t^8.222 - 4*t^8.233 + t^8.238 + t^8.289 + t^8.345 + t^8.401 + t^8.406 + t^8.462 - t^8.474 + t^8.518 - 7*t^8.53 - 3*t^8.586 - 3*t^8.642 + t^8.653 + t^8.698 + 3*t^8.709 + t^8.754 + 2*t^8.765 + t^8.77 + t^8.81 + t^8.815 + 2*t^8.821 + t^8.877 + t^8.933 - 4*t^8.938 - 2*t^8.994 - t^4.293/y - t^6.47/y - t^6.526/y - t^6.823/y - t^6.879/y - t^6.935/y - t^7.231/y + t^7.355/y + t^7.411/y + t^7.651/y + (3*t^7.707)/y + (4*t^7.763)/y + (2*t^7.819)/y + t^7.875/y + (2*t^8.06)/y + (4*t^8.116)/y + (3*t^8.172)/y + t^8.228/y + (2*t^8.468)/y + t^8.524/y + t^8.58/y - t^8.647/y - t^4.293*y - t^6.47*y - t^6.526*y - t^6.823*y - t^6.879*y - t^6.935*y - t^7.231*y + t^7.355*y + t^7.411*y + t^7.651*y + 3*t^7.707*y + 4*t^7.763*y + 2*t^7.819*y + t^7.875*y + 2*t^8.06*y + 4*t^8.116*y + 3*t^8.172*y + t^8.228*y + 2*t^8.468*y + t^8.524*y + t^8.58*y - t^8.647*y | (g2^5*t^2.177)/g1 + t^2.233/(g1^2*g2^2) + (2*g1*t^2.53)/g2 + t^2.586/g2^8 + t^2.642/(g1*g2^15) + (g1^2*t^2.938)/g2^14 + t^3.526/(g1^2*g2^6) + (g1^4*t^4.119)/g2^4 + (g2^17*t^4.299)/g1 + (2*g2^10*t^4.355)/g1^2 + (g2^3*t^4.411)/g1^3 + t^4.467/(g1^4*g2^4) + g1*g2^11*t^4.651 + 2*g2^4*t^4.707 + (3*t^4.763)/(g1*g2^3) + (2*t^4.819)/(g1^2*g2^10) + t^4.875/(g1^3*g2^17) + (3*g1^2*t^5.06)/g2^2 + (3*g1*t^5.116)/g2^9 + (3*t^5.172)/g2^16 + (g2^26*t^5.183)/g1^2 + t^5.228/(g1*g2^23) + t^5.283/(g1^2*g2^30) + (g1^3*t^5.468)/g2^15 + (g1^2*t^5.524)/g2^22 + (g1*t^5.58)/g2^29 + t^5.759/(g1^4*g2^8) + (g1^4*t^5.877)/g2^28 - 3*t^6. + t^6.056/(g1*g2^7) + t^6.112/(g1^2*g2^14) + t^6.168/(g1^3*g2^21) - (g1*t^6.408)/g2^13 + (g2^22*t^6.476)/g1^2 + (2*g2^15*t^6.532)/g1^3 + (2*g2^8*t^6.588)/g1^4 + (g2*t^6.644)/g1^5 + (2*g1^5*t^6.649)/g2^5 + t^6.7/(g1^6*g2^6) + (g1^4*t^6.705)/g2^12 + g2^16*t^6.828 + (4*g2^9*t^6.884)/g1 + (3*g2^2*t^6.94)/g1^2 + (4*t^6.996)/(g1^3*g2^5) + (3*t^7.052)/(g1^4*g2^12) + (g1^6*t^7.058)/g2^18 + t^7.108/(g1^5*g2^19) + g1^2*g2^10*t^7.181 + 3*g1*g2^3*t^7.237 + (5*t^7.293)/g2^4 + (5*t^7.349)/(g1*g2^11) + (g2^31*t^7.36)/g1^3 + (4*t^7.405)/(g1^2*g2^18) + (g2^24*t^7.416)/g1^4 + (2*t^7.461)/(g1^3*g2^25) + t^7.517/(g1^4*g2^32) - g1^4*g2^4*t^7.533 + (3*g1^3*t^7.589)/g2^3 + (4*g1^2*t^7.645)/g2^10 + (5*g1*t^7.701)/g2^17 + (g2^25*t^7.713)/g1 + (4*t^7.757)/g2^24 + (3*t^7.813)/(g1*g2^31) + t^7.869/(g1^2*g2^38) + (g2^4*t^7.881)/g1^4 + t^7.925/(g1^3*g2^45) + t^7.993/(g1^6*g2^10) + (g1^4*t^7.998)/g2^16 + (2*g1^3*t^8.054)/g2^23 - g1*g2^19*t^8.065 + (3*g1^2*t^8.11)/g2^30 - 2*g2^12*t^8.121 + (g1*t^8.166)/g2^37 - (4*g2^5*t^8.177)/g1 + t^8.222/g2^44 - (4*t^8.233)/(g1^2*g2^2) + (g1^8*t^8.238)/g2^8 + t^8.289/(g1^3*g2^9) + t^8.345/(g1^4*g2^16) + t^8.401/(g1^5*g2^23) + (g1^5*t^8.406)/g2^29 + (g1^4*t^8.462)/g2^36 - g1^2*g2^6*t^8.474 + (g1^3*t^8.518)/g2^43 - (7*g1*t^8.53)/g2 - (3*t^8.586)/g2^8 - (3*t^8.642)/(g1*g2^15) + (g2^27*t^8.653)/g1^3 + t^8.698/(g1^2*g2^22) + (3*g2^20*t^8.709)/g1^4 + t^8.754/(g1^3*g2^29) + (2*g2^13*t^8.765)/g1^5 + g1^5*g2^7*t^8.77 + t^8.81/(g1^4*g2^36) + (g1^6*t^8.815)/g2^42 + (2*g2^6*t^8.821)/g1^6 + t^8.877/(g1^7*g2) + t^8.933/(g1^8*g2^8) - (4*g1^2*t^8.938)/g2^14 - (2*g1*t^8.994)/g2^21 - t^4.293/(g2^4*y) - (g2*t^6.47)/(g1*y) - t^6.526/(g1^2*g2^6*y) - (g1*t^6.823)/(g2^5*y) - t^6.879/(g2^12*y) - t^6.935/(g1*g2^19*y) - (g1^2*t^7.231)/(g2^18*y) + (g2^10*t^7.355)/(g1^2*y) + (g2^3*t^7.411)/(g1^3*y) + (g1*g2^11*t^7.651)/y + (3*g2^4*t^7.707)/y + (4*t^7.763)/(g1*g2^3*y) + (2*t^7.819)/(g1^2*g2^10*y) + t^7.875/(g1^3*g2^17*y) + (2*g1^2*t^8.06)/(g2^2*y) + (4*g1*t^8.116)/(g2^9*y) + (3*t^8.172)/(g2^16*y) + t^8.228/(g1*g2^23*y) + (2*g1^3*t^8.468)/(g2^15*y) + (g1^2*t^8.524)/(g2^22*y) + (g1*t^8.58)/(g2^29*y) - (g2^6*t^8.647)/(g1^2*y) - (t^4.293*y)/g2^4 - (g2*t^6.47*y)/g1 - (t^6.526*y)/(g1^2*g2^6) - (g1*t^6.823*y)/g2^5 - (t^6.879*y)/g2^12 - (t^6.935*y)/(g1*g2^19) - (g1^2*t^7.231*y)/g2^18 + (g2^10*t^7.355*y)/g1^2 + (g2^3*t^7.411*y)/g1^3 + g1*g2^11*t^7.651*y + 3*g2^4*t^7.707*y + (4*t^7.763*y)/(g1*g2^3) + (2*t^7.819*y)/(g1^2*g2^10) + (t^7.875*y)/(g1^3*g2^17) + (2*g1^2*t^8.06*y)/g2^2 + (4*g1*t^8.116*y)/g2^9 + (3*t^8.172*y)/g2^16 + (t^8.228*y)/(g1*g2^23) + (2*g1^3*t^8.468*y)/g2^15 + (g1^2*t^8.524*y)/g2^22 + (g1*t^8.58*y)/g2^29 - (g2^6*t^8.647*y)/g1^2 |
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 |
---|---|---|---|---|---|---|---|---|
2633 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}M_{7}$ + ${ }M_{2}M_{8}$ | 0.6843 | 0.8549 | 0.8004 | [M:[0.972, 0.7603, 0.8959, 0.8364, 1.1636, 0.7305, 0.8364, 1.2397], q:[0.6479, 0.3801], qb:[0.4563, 0.7835], phi:[0.4331]] | t^2.192 + 2*t^2.509 + t^2.598 + t^2.688 + t^2.916 + t^3.58 + t^3.719 + t^4.037 + t^4.294 + 2*t^4.383 + t^4.612 + 2*t^4.701 + t^4.79 + t^4.879 + 3*t^5.018 + 3*t^5.108 + t^5.186 + 2*t^5.197 + t^5.286 + t^5.375 + t^5.425 + t^5.514 + t^5.604 + t^5.832 + t^5.911 - 3*t^6. - t^4.299/y - t^4.299*y | detail | |
2637 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}M_{7}$ + ${ }M_{3}M_{8}$ | 0.6955 | 0.8765 | 0.7936 | [M:[1.013, 0.7766, 0.9542, 0.8354, 1.1646, 0.7172, 0.8354, 1.0458], q:[0.5987, 0.3883], qb:[0.4471, 0.7763], phi:[0.4474]] | t^2.152 + t^2.33 + 2*t^2.506 + t^2.684 + t^3.039 + t^3.137 + t^3.672 + t^4.025 + t^4.125 + 2*t^4.303 + t^4.48 + t^4.481 + 2*t^4.658 + t^4.66 + 3*t^4.836 + t^4.934 + 3*t^5.012 + t^5.014 + 3*t^5.191 + t^5.289 + t^5.369 + t^5.467 + t^5.545 + 2*t^5.644 + t^5.723 + t^5.822 - 3*t^6. - t^4.342/y - t^4.342*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 |
---|---|---|---|---|---|---|---|---|---|
986 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6898 | 0.8671 | 0.7956 | [M:[0.9905, 0.7331, 0.8747, 0.8489, 1.1511, 0.7202], q:[0.6429, 0.3665], qb:[0.4824, 0.7846], phi:[0.4309]] | t^2.161 + t^2.199 + t^2.547 + t^2.585 + t^2.624 + t^2.972 + t^3.453 + t^3.492 + t^4.187 + t^4.282 + 2*t^4.321 + t^4.36 + t^4.398 + t^4.669 + t^4.707 + 2*t^4.746 + 2*t^4.785 + t^4.823 + t^5.094 + 2*t^5.132 + t^5.15 + 2*t^5.171 + t^5.209 + t^5.248 + t^5.557 + t^5.596 + t^5.614 + t^5.652 + t^5.691 + t^5.943 - 2*t^6. - t^4.293/y - t^4.293*y | detail |