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 |
---|---|---|---|---|---|---|---|---|---|
1794 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ | 0.6282 | 0.8184 | 0.7676 | [M:[0.9772, 1.0683, 0.9772, 0.7228, 0.7684], q:[0.7443, 0.2785], qb:[0.4873, 0.4444], phi:[0.5114]] | [M:[[4, 4], [-12, -12], [4, 4], [-5, 7], [-13, -1]], q:[[1, 1], [-5, -5]], qb:[[12, 0], [0, 12]], phi:[[-2, -2]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{5}$, ${ }M_{1}$, ${ }M_{3}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{5}$, ${ }M_{2}M_{4}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{2}M_{5}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ | ${}$ | -3 | 2*t^2.169 + t^2.297 + t^2.305 + 2*t^2.932 + 2*t^3.205 + t^3.566 + t^3.703 + t^4.2 + t^4.329 + 3*t^4.337 + t^4.458 + 2*t^4.466 + 2*t^4.474 + t^4.595 + t^4.602 + t^4.61 + 4*t^5.1 + 2*t^5.229 + 2*t^5.237 + 3*t^5.373 + t^5.502 + 2*t^5.51 + 2*t^5.735 + 3*t^5.863 + 2*t^5.871 - 3*t^6. + t^6.008 - t^6.129 + 2*t^6.137 + 2*t^6.369 + 3*t^6.41 + 3*t^6.498 + 5*t^6.506 + t^6.627 + 4*t^6.634 + 3*t^6.642 + t^6.755 + t^6.763 + 2*t^6.771 + 2*t^6.779 + t^6.892 - t^6.9 + 2*t^6.908 + t^6.915 - t^7.036 + 2*t^7.132 + t^7.261 + 6*t^7.269 + t^7.39 + t^7.398 + 5*t^7.405 + t^7.526 + 6*t^7.542 + t^7.671 + 3*t^7.678 + t^7.767 + t^7.8 + t^7.807 + 2*t^7.815 + 4*t^7.903 + 4*t^8.032 + 3*t^8.04 + t^8.161 - 4*t^8.169 + 2*t^8.176 - 5*t^8.297 - t^8.305 + t^8.313 + t^8.401 - t^8.426 - t^8.434 + 2*t^8.442 + t^8.53 + 3*t^8.537 + 4*t^8.578 + t^8.659 + 5*t^8.666 + 7*t^8.674 + t^8.707 + 3*t^8.715 + t^8.787 + 4*t^8.795 + 5*t^8.803 + 5*t^8.811 + t^8.916 + t^8.924 - 7*t^8.932 + 4*t^8.939 + 3*t^8.947 - t^4.534/y - t^6.703/y - t^6.839/y + t^7.329/y + t^7.337/y + t^7.466/y + (2*t^7.474)/y + (2*t^7.602)/y - t^7.739/y + (4*t^8.1)/y + (3*t^8.229)/y + (2*t^8.237)/y + t^8.366/y + (4*t^8.373)/y + (2*t^8.502)/y + (2*t^8.51)/y + (2*t^8.735)/y + (2*t^8.863)/y + (2*t^8.871)/y - t^4.534*y - t^6.703*y - t^6.839*y + t^7.329*y + t^7.337*y + t^7.466*y + 2*t^7.474*y + 2*t^7.602*y - t^7.739*y + 4*t^8.1*y + 3*t^8.229*y + 2*t^8.237*y + t^8.366*y + 4*t^8.373*y + 2*t^8.502*y + 2*t^8.51*y + 2*t^8.735*y + 2*t^8.863*y + 2*t^8.871*y | (2*g2^7*t^2.169)/g1^5 + (g1^7*t^2.297)/g2^5 + t^2.305/(g1^13*g2) + 2*g1^4*g2^4*t^2.932 + (2*t^3.205)/(g1^12*g2^12) + g1*g2^13*t^3.566 + (g2^5*t^3.703)/g1^7 + (g2^22*t^4.2)/g1^2 + g1^10*g2^10*t^4.329 + (3*g2^14*t^4.337)/g1^10 + (g1^22*t^4.458)/g2^2 + 2*g1^2*g2^2*t^4.466 + (2*g2^6*t^4.474)/g1^18 + (g1^14*t^4.595)/g2^10 + t^4.602/(g1^6*g2^6) + t^4.61/(g1^26*g2^2) + (4*g2^11*t^5.1)/g1 + (2*g1^11*t^5.229)/g2 + (2*g2^3*t^5.237)/g1^9 + (3*t^5.373)/(g1^17*g2^5) + t^5.502/(g1^5*g2^17) + (2*t^5.51)/(g1^25*g2^13) + (2*g2^20*t^5.735)/g1^4 + 3*g1^8*g2^8*t^5.863 + (2*g2^12*t^5.871)/g1^12 - 3*t^6. + (g2^4*t^6.008)/g1^20 - (g1^12*t^6.129)/g2^12 + (2*t^6.137)/(g1^8*g2^8) + (2*g2^29*t^6.369)/g1^7 + (3*t^6.41)/(g1^24*g2^24) + 3*g1^5*g2^17*t^6.498 + (5*g2^21*t^6.506)/g1^15 + g1^17*g2^5*t^6.627 + (4*g2^9*t^6.634)/g1^3 + (3*g2^13*t^6.642)/g1^23 + (g1^29*t^6.755)/g2^7 + (g1^9*t^6.763)/g2^3 + (2*g2*t^6.771)/g1^11 + (2*g2^5*t^6.779)/g1^31 + (g1^21*t^6.892)/g2^15 - (g1*t^6.9)/g2^11 + (2*t^6.908)/(g1^19*g2^7) + t^6.915/(g1^39*g2^3) - t^7.036/(g1^7*g2^19) + 2*g1^2*g2^26*t^7.132 + g1^14*g2^14*t^7.261 + (6*g2^18*t^7.269)/g1^6 + g1^26*g2^2*t^7.39 + g1^6*g2^6*t^7.398 + (5*g2^10*t^7.405)/g1^14 + (g1^18*t^7.526)/g2^6 + (6*g2^2*t^7.542)/g1^22 + t^7.671/(g1^10*g2^10) + (3*t^7.678)/(g1^30*g2^6) + (g2^35*t^7.767)/g1 + (g1^2*t^7.8)/g2^22 + t^7.807/(g1^18*g2^18) + (2*t^7.815)/(g1^38*g2^14) + (4*g2^27*t^7.903)/g1^9 + 4*g1^3*g2^15*t^8.032 + (3*g2^19*t^8.04)/g1^17 + g1^15*g2^3*t^8.161 - (4*g2^7*t^8.169)/g1^5 + (2*g2^11*t^8.176)/g1^25 - (5*g1^7*t^8.297)/g2^5 - t^8.305/(g1^13*g2) + (g2^3*t^8.313)/g1^33 + (g2^44*t^8.401)/g1^4 - (g1^19*t^8.426)/g2^17 - t^8.434/(g1*g2^13) + (2*t^8.442)/(g1^21*g2^9) + g1^8*g2^32*t^8.53 + (3*g2^36*t^8.537)/g1^12 + (4*t^8.578)/(g1^29*g2^17) + g1^20*g2^20*t^8.659 + 5*g2^24*t^8.666 + (7*g2^28*t^8.674)/g1^20 + t^8.707/(g1^17*g2^29) + (3*t^8.715)/(g1^37*g2^25) + g1^32*g2^8*t^8.787 + 4*g1^12*g2^12*t^8.795 + (5*g2^16*t^8.803)/g1^8 + (5*g2^20*t^8.811)/g1^28 + (g1^44*t^8.916)/g2^4 + g1^24*t^8.924 - 7*g1^4*g2^4*t^8.932 + (4*g2^8*t^8.939)/g1^16 + (3*g2^12*t^8.947)/g1^36 - t^4.534/(g1^2*g2^2*y) - (g2^5*t^6.703)/(g1^7*y) - t^6.839/(g1^15*g2^3*y) + (g1^10*g2^10*t^7.329)/y + (g2^14*t^7.337)/(g1^10*y) + (g1^2*g2^2*t^7.466)/y + (2*g2^6*t^7.474)/(g1^18*y) + (2*t^7.602)/(g1^6*g2^6*y) - t^7.739/(g1^14*g2^14*y) + (4*g2^11*t^8.1)/(g1*y) + (3*g1^11*t^8.229)/(g2*y) + (2*g2^3*t^8.237)/(g1^9*y) + (g1^3*t^8.366)/(g2^9*y) + (4*t^8.373)/(g1^17*g2^5*y) + (2*t^8.502)/(g1^5*g2^17*y) + (2*t^8.51)/(g1^25*g2^13*y) + (2*g2^20*t^8.735)/(g1^4*y) + (2*g1^8*g2^8*t^8.863)/y + (2*g2^12*t^8.871)/(g1^12*y) - (t^4.534*y)/(g1^2*g2^2) - (g2^5*t^6.703*y)/g1^7 - (t^6.839*y)/(g1^15*g2^3) + g1^10*g2^10*t^7.329*y + (g2^14*t^7.337*y)/g1^10 + g1^2*g2^2*t^7.466*y + (2*g2^6*t^7.474*y)/g1^18 + (2*t^7.602*y)/(g1^6*g2^6) - (t^7.739*y)/(g1^14*g2^14) + (4*g2^11*t^8.1*y)/g1 + (3*g1^11*t^8.229*y)/g2 + (2*g2^3*t^8.237*y)/g1^9 + (g1^3*t^8.366*y)/g2^9 + (4*t^8.373*y)/(g1^17*g2^5) + (2*t^8.502*y)/(g1^5*g2^17) + (2*t^8.51*y)/(g1^25*g2^13) + (2*g2^20*t^8.735*y)/g1^4 + 2*g1^8*g2^8*t^8.863*y + (2*g2^12*t^8.871*y)/g1^12 |
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 |
---|---|---|---|---|---|---|---|---|
2805 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ | 0.6215 | 0.8097 | 0.7675 | [M:[0.9461, 1.1616, 0.9461, 0.7307, 0.8384], q:[0.7365, 0.3173], qb:[0.4251, 0.4134], phi:[0.5269]] | 2*t^2.192 + t^2.227 + t^2.515 + 2*t^2.838 + t^3.45 + 2*t^3.485 + t^3.773 + t^4.061 + t^4.096 + t^4.131 + 3*t^4.384 + 2*t^4.419 + t^4.454 + 2*t^4.707 + t^4.742 + 5*t^5.03 + 2*t^5.066 + 2*t^5.354 + 2*t^5.642 + 6*t^5.677 + t^5.712 + 2*t^5.965 - t^6. - t^4.581/y - t^4.581*y | detail | |
2806 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.6449 | 0.8469 | 0.7615 | [M:[0.985, 1.0449, 0.985, 0.7379, 0.7678, 0.7846], q:[0.7463, 0.2687], qb:[0.4859, 0.4692], phi:[0.5075]] | 2*t^2.214 + t^2.264 + t^2.304 + t^2.354 + 2*t^2.955 + 2*t^3.135 + t^3.736 + t^4.338 + t^4.388 + 3*t^4.427 + t^4.438 + 2*t^4.478 + 2*t^4.517 + t^4.528 + 3*t^4.567 + t^4.607 + t^4.618 + t^4.657 + t^4.707 + 4*t^5.169 + 2*t^5.219 + 2*t^5.259 + 2*t^5.309 + 3*t^5.348 + t^5.399 + 2*t^5.438 + 2*t^5.488 + 2*t^5.91 + t^5.95 - 3*t^6. - t^4.522/y - t^4.522*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 |
---|---|---|---|---|---|---|---|---|---|
346 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6106 | 0.7864 | 0.7765 | [M:[0.9696, 1.0912, 0.9696, 0.7332], q:[0.7424, 0.288], qb:[0.4636, 0.4453], phi:[0.5152]] | 2*t^2.2 + t^2.255 + 2*t^2.909 + 2*t^3.274 + t^3.563 + t^3.618 + t^3.745 + t^4.217 + t^4.272 + t^4.327 + 3*t^4.399 + 2*t^4.454 + t^4.509 + 4*t^5.109 + 2*t^5.163 + 3*t^5.473 + t^5.528 + 2*t^5.763 + 5*t^5.818 + t^5.873 + t^5.945 - 3*t^6. - t^4.546/y - t^4.546*y | detail |