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 |
---|---|---|---|---|---|---|---|---|---|
935 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.7231 | 0.895 | 0.8079 | [M:[1.0717, 0.7848, 0.9379, 0.9187, 1.0, 0.8566], q:[0.4952, 0.4331], qb:[0.5669, 0.6482], phi:[0.4641]] | [M:[[2, 2], [-6, -6], [-10, 2], [6, -6], [0, 0], [-4, -4]], q:[[4, -2], [-6, 0]], qb:[[6, 0], [0, 6]], phi:[[-1, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{6}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{5}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{6}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{2}M_{5}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{1}M_{4}$ | ${}$ | -2 | t^2.354 + t^2.57 + t^2.756 + t^2.785 + t^2.814 + t^3. + t^3.215 + t^3.991 + t^4.177 + t^4.364 + t^4.392 + t^4.579 + t^4.636 + t^4.709 + t^4.794 + t^4.823 + t^4.924 + t^5.038 + t^5.111 + 2*t^5.139 + t^5.168 + t^5.282 + t^5.326 + t^5.354 + t^5.383 + t^5.512 + 4*t^5.57 + t^5.627 + t^5.785 + t^5.971 - 2*t^6. + t^6.029 - t^6.186 - t^6.244 + t^6.345 - t^6.402 - t^6.459 + t^6.532 + t^6.561 - t^6.646 + t^6.718 + 2*t^6.747 + t^6.776 + t^6.804 + 2*t^6.933 + 2*t^6.962 + 2*t^6.991 + t^7.063 + t^7.12 + 3*t^7.148 + 2*t^7.177 + t^7.206 + t^7.279 + t^7.335 + 2*t^7.364 + 2*t^7.392 + t^7.45 + t^7.465 + 2*t^7.494 + t^7.523 + t^7.55 + t^7.579 + t^7.608 + t^7.636 + t^7.68 + 2*t^7.709 + t^7.738 + t^7.794 - t^7.823 + t^7.852 + t^7.867 + t^7.895 + 4*t^7.924 + t^7.953 + 2*t^7.982 - t^8.009 + t^8.082 + t^8.096 + 3*t^8.139 + t^8.197 - t^8.224 + t^8.268 + 2*t^8.326 + 3*t^8.383 + t^8.441 - t^8.468 - 2*t^8.57 - t^8.598 + t^8.627 + t^8.7 + 2*t^8.727 - 4*t^8.756 - 4*t^8.814 + t^8.842 + t^8.886 + t^8.915 - 2*t^8.971 - t^4.392/y - t^6.747/y - t^6.962/y - t^7.148/y - t^7.206/y + t^7.579/y + t^7.636/y + t^7.823/y + t^7.924/y + t^8.038/y + t^8.111/y + t^8.139/y + t^8.168/y + t^8.326/y + (2*t^8.354)/y + t^8.383/y + t^8.541/y + (3*t^8.57)/y + t^8.598/y + t^8.756/y + (2*t^8.785)/y + t^8.814/y + t^8.971/y - t^4.392*y - t^6.747*y - t^6.962*y - t^7.148*y - t^7.206*y + t^7.579*y + t^7.636*y + t^7.823*y + t^7.924*y + t^8.038*y + t^8.111*y + t^8.139*y + t^8.168*y + t^8.326*y + 2*t^8.354*y + t^8.383*y + t^8.541*y + 3*t^8.57*y + t^8.598*y + t^8.756*y + 2*t^8.785*y + t^8.814*y + t^8.971*y | t^2.354/(g1^6*g2^6) + t^2.57/(g1^4*g2^4) + (g1^6*t^2.756)/g2^6 + t^2.785/(g1^2*g2^2) + (g2^2*t^2.814)/g1^10 + t^3. + g1^2*g2^2*t^3.215 + t^3.991/(g1^13*g2) + t^4.177/(g1^3*g2^3) + (g1^7*t^4.364)/g2^5 + t^4.392/(g1*g2) + (g1^9*t^4.579)/g2^3 + (g2^5*t^4.636)/g1^7 + t^4.709/(g1^12*g2^12) + (g1^11*t^4.794)/g2 + g1^3*g2^3*t^4.823 + t^4.924/(g1^10*g2^10) + g1^5*g2^5*t^5.038 + t^5.111/g2^12 + (2*t^5.139)/(g1^8*g2^8) + t^5.168/(g1^16*g2^4) + (g2^11*t^5.282)/g1 + (g1^2*t^5.326)/g2^10 + t^5.354/(g1^6*g2^6) + t^5.383/(g1^14*g2^2) + (g1^12*t^5.512)/g2^12 + (4*t^5.57)/(g1^4*g2^4) + (g2^4*t^5.627)/g1^20 + t^5.785/(g1^2*g2^2) + (g1^8*t^5.971)/g2^4 - 2*t^6. + (g2^4*t^6.029)/g1^8 - (g1^10*t^6.186)/g2^2 - (g2^6*t^6.244)/g1^6 + t^6.345/(g1^19*g2^7) - g1^12*t^6.402 - (g2^8*t^6.459)/g1^4 + t^6.532/(g1^9*g2^9) + t^6.561/(g1^17*g2^5) - g1^6*g2^6*t^6.646 + (g1*t^6.718)/g2^11 + (2*t^6.747)/(g1^7*g2^7) + t^6.776/(g1^15*g2^3) + (g2*t^6.804)/g1^23 + (2*g1^3*t^6.933)/g2^9 + (2*t^6.962)/(g1^5*g2^5) + (2*t^6.991)/(g1^13*g2) + t^7.063/(g1^18*g2^18) + (g1^13*t^7.12)/g2^11 + (3*g1^5*t^7.148)/g2^7 + (2*t^7.177)/(g1^3*g2^3) + (g2*t^7.206)/g1^11 + t^7.279/(g1^16*g2^16) + (g1^15*t^7.335)/g2^9 + (2*g1^7*t^7.364)/g2^5 + (2*t^7.392)/(g1*g2) + (g2^7*t^7.45)/g1^17 + t^7.465/(g1^6*g2^18) + (2*t^7.494)/(g1^14*g2^14) + t^7.523/(g1^22*g2^10) + (g1^17*t^7.55)/g2^7 + (g1^9*t^7.579)/g2^3 + g1*g2*t^7.608 + (g2^5*t^7.636)/g1^7 + t^7.68/(g1^4*g2^16) + (2*t^7.709)/(g1^12*g2^12) + t^7.738/(g1^20*g2^8) + (g1^11*t^7.794)/g2 - g1^3*g2^3*t^7.823 + (g2^7*t^7.852)/g1^5 + (g1^6*t^7.867)/g2^18 + t^7.895/(g1^2*g2^14) + (4*t^7.924)/(g1^10*g2^10) + t^7.953/(g1^18*g2^6) + (2*t^7.982)/(g1^26*g2^2) - g1^13*g2*t^8.009 + (g1^8*t^8.082)/g2^16 + (g2^13*t^8.096)/g1^11 + (3*t^8.139)/(g1^8*g2^8) + t^8.197/g1^24 - g1^15*g2^3*t^8.224 + (g1^18*t^8.268)/g2^18 + (2*g1^2*t^8.326)/g2^10 + (3*t^8.383)/(g1^14*g2^2) + (g2^6*t^8.441)/g1^30 - g1^9*g2^9*t^8.468 - (2*t^8.57)/(g1^4*g2^4) - t^8.598/g1^12 + (g2^4*t^8.627)/g1^20 + t^8.7/(g1^25*g2^13) + (2*g1^14*t^8.727)/g2^10 - (4*g1^6*t^8.756)/g2^6 - (4*g2^2*t^8.814)/g1^10 + (g2^6*t^8.842)/g1^18 + t^8.886/(g1^15*g2^15) + t^8.915/(g1^23*g2^11) - (2*g1^8*t^8.971)/g2^4 - t^4.392/(g1*g2*y) - t^6.747/(g1^7*g2^7*y) - t^6.962/(g1^5*g2^5*y) - (g1^5*t^7.148)/(g2^7*y) - (g2*t^7.206)/(g1^11*y) + (g1^9*t^7.579)/(g2^3*y) + (g2^5*t^7.636)/(g1^7*y) + (g1^3*g2^3*t^7.823)/y + t^7.924/(g1^10*g2^10*y) + (g1^5*g2^5*t^8.038)/y + t^8.111/(g2^12*y) + t^8.139/(g1^8*g2^8*y) + t^8.168/(g1^16*g2^4*y) + (g1^2*t^8.326)/(g2^10*y) + (2*t^8.354)/(g1^6*g2^6*y) + t^8.383/(g1^14*g2^2*y) + (g1^4*t^8.541)/(g2^8*y) + (3*t^8.57)/(g1^4*g2^4*y) + t^8.598/(g1^12*y) + (g1^6*t^8.756)/(g2^6*y) + (2*t^8.785)/(g1^2*g2^2*y) + (g2^2*t^8.814)/(g1^10*y) + (g1^8*t^8.971)/(g2^4*y) - (t^4.392*y)/(g1*g2) - (t^6.747*y)/(g1^7*g2^7) - (t^6.962*y)/(g1^5*g2^5) - (g1^5*t^7.148*y)/g2^7 - (g2*t^7.206*y)/g1^11 + (g1^9*t^7.579*y)/g2^3 + (g2^5*t^7.636*y)/g1^7 + g1^3*g2^3*t^7.823*y + (t^7.924*y)/(g1^10*g2^10) + g1^5*g2^5*t^8.038*y + (t^8.111*y)/g2^12 + (t^8.139*y)/(g1^8*g2^8) + (t^8.168*y)/(g1^16*g2^4) + (g1^2*t^8.326*y)/g2^10 + (2*t^8.354*y)/(g1^6*g2^6) + (t^8.383*y)/(g1^14*g2^2) + (g1^4*t^8.541*y)/g2^8 + (3*t^8.57*y)/(g1^4*g2^4) + (t^8.598*y)/g1^12 + (g1^6*t^8.756*y)/g2^6 + (2*t^8.785*y)/(g1^2*g2^2) + (g2^2*t^8.814*y)/g1^10 + (g1^8*t^8.971*y)/g2^4 |
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 |
---|---|---|---|---|---|---|---|---|
1434 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{6}$ | 0.7054 | 0.8688 | 0.8119 | [M:[1.0326, 0.9023, 1.0652, 0.8697, 1.0, 0.9348], q:[0.4511, 0.5163], qb:[0.4837, 0.614], phi:[0.4837]] | t^2.609 + t^2.707 + t^2.805 + t^2.902 + t^3. + t^3.098 + t^3.195 + t^4.158 + t^4.256 + 2*t^4.353 + t^4.451 + t^4.549 + t^4.647 + t^4.744 + t^4.842 + t^5.135 + t^5.218 + t^5.316 + 2*t^5.414 + t^5.511 + 2*t^5.609 + 2*t^5.707 + 3*t^5.805 + t^5.902 - t^6. - t^4.451/y - t^4.451*y | detail | |
1435 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{6}$ | 0.7048 | 0.8677 | 0.8122 | [M:[1.0305, 0.9086, 0.8782, 1.0609, 1.0, 0.9391], q:[0.5457, 0.4239], qb:[0.5761, 0.5152], phi:[0.4848]] | t^2.635 + t^2.726 + t^2.817 + t^2.909 + t^3. + t^3.091 + t^3.183 + t^3.997 + t^4.272 + t^4.363 + t^4.454 + t^4.546 + t^4.637 + 2*t^4.728 + t^4.82 + t^4.911 + t^5.269 + t^5.36 + 2*t^5.452 + t^5.543 + 2*t^5.635 + 2*t^5.726 + 3*t^5.817 + t^5.909 - t^6. - t^4.454/y - t^4.454*y | detail | |
1436 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ | 0.7439 | 0.9365 | 0.7943 | [M:[1.0715, 0.7854, 0.9386, 0.9183, 1.0, 0.8569, 0.6687], q:[0.4949, 0.4336], qb:[0.5664, 0.6481], phi:[0.4642]] | t^2.006 + t^2.356 + t^2.571 + t^2.755 + t^2.785 + t^2.816 + t^3. + t^3.215 + t^4.012 + t^4.178 + 2*t^4.362 + t^4.393 + 2*t^4.577 + t^4.638 + t^4.712 + t^4.761 + 2*t^4.791 + 2*t^4.822 + t^4.927 + t^5.006 + t^5.036 + t^5.111 + 2*t^5.142 + t^5.172 + t^5.221 + t^5.282 + t^5.326 + t^5.356 + t^5.387 + t^5.51 + 4*t^5.571 + t^5.632 + t^5.785 + t^5.969 - 2*t^6. - t^4.393/y - t^4.393*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 |
---|---|---|---|---|---|---|---|---|---|
594 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ | 0.7114 | 0.8732 | 0.8147 | [M:[1.059, 0.8231, 0.9476, 0.9345, 1.0], q:[0.4967, 0.4443], qb:[0.5557, 0.6212], phi:[0.4705]] | t^2.469 + t^2.803 + t^2.823 + t^2.843 + t^3. + t^3.177 + t^3.354 + t^4.078 + t^4.235 + t^4.392 + t^4.412 + t^4.569 + t^4.608 + t^4.746 + t^4.765 + t^4.939 + t^4.942 + t^5.139 + t^5.273 + t^5.293 + t^5.312 + t^5.607 + 3*t^5.646 + t^5.686 + t^5.823 + t^5.98 - 2*t^6. - t^4.412/y - t^4.412*y | detail |