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 |
---|---|---|---|---|---|---|---|---|---|
55226 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{2}M_{6}$ + ${ }M_{7}\phi_{1}q_{1}^{2}$ | 0.7289 | 0.9135 | 0.7979 | [M:[1.0067, 1.0715, 0.9933, 0.8502, 0.9285, 0.9285, 0.6694], q:[0.4251, 0.5682], qb:[0.5033, 0.5816], phi:[0.4804]] | [M:[[8, 0], [-12, 4], [-8, 0], [16, -8], [12, -4], [12, -4], [-17, 9]], q:[[8, -4], [-16, 4]], qb:[[4, 0], [0, 4]], phi:[[1, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{7}$, ${ }M_{4}$, ${ }M_{5}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}M_{7}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}M_{7}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{1}M_{7}$, ${ }M_{4}^{2}$, ${ }M_{7}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{5}$, ${ }M_{1}M_{6}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$ | ${}$ | -3 | t^2.008 + t^2.551 + 2*t^2.785 + t^2.883 + t^2.98 + t^3.02 + t^3.255 + t^4.016 + t^4.227 + t^4.421 + 2*t^4.461 + t^4.559 + t^4.656 + t^4.696 + 2*t^4.793 + t^4.851 + 2*t^4.891 + t^4.931 + t^4.988 + t^5.028 + t^5.101 + t^5.263 + 2*t^5.336 + t^5.433 + 3*t^5.571 + 2*t^5.668 + t^5.765 + 2*t^5.805 + t^5.863 + t^5.903 - 3*t^6. + t^6.024 + 2*t^6.04 + t^6.137 - t^6.195 - t^6.235 + t^6.275 + t^6.469 + t^6.51 + t^6.567 + t^6.664 + t^6.704 + t^6.777 + 2*t^6.801 + t^6.859 + 2*t^6.899 + t^6.939 + t^6.996 + 3*t^7.012 + t^7.036 + t^7.109 + t^7.207 + 4*t^7.247 + t^7.271 + t^7.304 + 3*t^7.344 + t^7.401 + 2*t^7.441 + 4*t^7.481 + 2*t^7.579 + t^7.636 + t^7.652 + 2*t^7.676 + 4*t^7.716 + t^7.733 + t^7.773 + 2*t^7.814 + t^7.83 + t^7.871 + 2*t^7.887 + t^7.911 + 2*t^7.951 - t^7.968 + t^7.984 - 4*t^8.008 + t^8.032 + t^8.048 + 3*t^8.121 + t^8.146 + t^8.186 - t^8.203 + 2*t^8.219 - t^8.243 + t^8.283 - t^8.316 + 4*t^8.356 + 3*t^8.453 + t^8.478 + t^8.518 - 3*t^8.551 + t^8.575 + 3*t^8.591 + t^8.648 + t^8.672 + 3*t^8.688 + t^8.712 - 8*t^8.785 + 2*t^8.81 + 3*t^8.826 + t^8.867 - 2*t^8.883 + 2*t^8.907 + 4*t^8.923 + t^8.947 - 4*t^8.98 - t^4.441/y - t^6.449/y - t^6.992/y - t^7.227/y - t^7.324/y + (2*t^7.559)/y + t^7.656/y + (2*t^7.793)/y + (2*t^7.891)/y + t^7.988/y + t^8.028/y + t^8.263/y + (2*t^8.336)/y + (2*t^8.433)/y - t^8.457/y + t^8.531/y + (2*t^8.571)/y + (2*t^8.668)/y + (2*t^8.765)/y + (3*t^8.805)/y + t^8.863/y + t^8.903/y - t^4.441*y - t^6.449*y - t^6.992*y - t^7.227*y - t^7.324*y + 2*t^7.559*y + t^7.656*y + 2*t^7.793*y + 2*t^7.891*y + t^7.988*y + t^8.028*y + t^8.263*y + 2*t^8.336*y + 2*t^8.433*y - t^8.457*y + t^8.531*y + 2*t^8.571*y + 2*t^8.668*y + 2*t^8.765*y + 3*t^8.805*y + t^8.863*y + t^8.903*y | (g2^9*t^2.008)/g1^17 + (g1^16*t^2.551)/g2^8 + (2*g1^12*t^2.785)/g2^4 + (g1^2*t^2.883)/g2^2 + t^2.98/g1^8 + g1^8*t^3.02 + g1^4*g2^4*t^3.255 + (g2^18*t^4.016)/g1^34 + (g1^13*t^4.227)/g2^5 + t^4.421/(g1^7*g2) + (2*g1^9*t^4.461)/g2 + (g2*t^4.559)/g1 + (g2^3*t^4.656)/g1^11 + g1^5*g2^3*t^4.696 + (2*g2^5*t^4.793)/g1^5 + (g2^7*t^4.851)/g1^31 + (2*g2^7*t^4.891)/g1^15 + g1*g2^7*t^4.931 + (g2^9*t^4.988)/g1^25 + (g2^9*t^5.028)/g1^9 + (g1^32*t^5.101)/g2^16 + (g2^13*t^5.263)/g1^13 + (2*g1^28*t^5.336)/g2^12 + (g1^18*t^5.433)/g2^10 + (3*g1^24*t^5.571)/g2^8 + (2*g1^14*t^5.668)/g2^6 + (g1^4*t^5.765)/g2^4 + (2*g1^20*t^5.805)/g2^4 + t^5.863/(g1^6*g2^2) + (g1^10*t^5.903)/g2^2 - 3*t^6. + (g2^27*t^6.024)/g1^51 + 2*g1^16*t^6.04 + g1^6*g2^2*t^6.137 - (g2^4*t^6.195)/g1^20 - (g2^4*t^6.235)/g1^4 + g1^12*g2^4*t^6.275 + (g2^8*t^6.469)/g1^8 + g1^8*g2^8*t^6.51 + (g2^10*t^6.567)/g1^18 + (g2^12*t^6.664)/g1^28 + (g2^12*t^6.704)/g1^12 + (g1^29*t^6.777)/g2^13 + (2*g2^14*t^6.801)/g1^22 + (g2^16*t^6.859)/g1^48 + (2*g2^16*t^6.899)/g1^32 + (g2^16*t^6.939)/g1^16 + (g2^18*t^6.996)/g1^42 + (3*g1^25*t^7.012)/g2^9 + (g2^18*t^7.036)/g1^26 + (g1^15*t^7.109)/g2^7 + (g1^5*t^7.207)/g2^5 + (4*g1^21*t^7.247)/g2^5 + (g2^22*t^7.271)/g1^30 + t^7.304/(g1^5*g2^3) + (3*g1^11*t^7.344)/g2^3 + t^7.401/(g1^15*g2) + (2*g1*t^7.441)/g2 + (4*g1^17*t^7.481)/g2 + 2*g1^7*g2*t^7.579 + (g2^3*t^7.636)/g1^19 + (g1^48*t^7.652)/g2^24 + (2*g2^3*t^7.676)/g1^3 + 4*g1^13*g2^3*t^7.716 + (g2^5*t^7.733)/g1^29 + (g2^5*t^7.773)/g1^13 + 2*g1^3*g2^5*t^7.814 + (g2^7*t^7.83)/g1^39 + (g2^7*t^7.871)/g1^23 + (2*g1^44*t^7.887)/g2^20 + (g2^7*t^7.911)/g1^7 + 2*g1^9*g2^7*t^7.951 - (g2^9*t^7.968)/g1^33 + (g1^34*t^7.984)/g2^18 - (4*g2^9*t^8.008)/g1^17 + (g2^36*t^8.032)/g1^68 + (g2^9*t^8.048)/g1 + (3*g1^40*t^8.121)/g2^16 + (g2^11*t^8.146)/g1^11 + g1^5*g2^11*t^8.186 - (g2^13*t^8.203)/g1^37 + (2*g1^30*t^8.219)/g2^14 - (g2^13*t^8.243)/g1^21 + (g2^13*t^8.283)/g1^5 - (g1^20*t^8.316)/g2^12 + (4*g1^36*t^8.356)/g2^12 + (3*g1^26*t^8.453)/g2^10 + (g2^17*t^8.478)/g1^25 + (g2^17*t^8.518)/g1^9 - (3*g1^16*t^8.551)/g2^8 + (g2^19*t^8.575)/g1^35 + (3*g1^32*t^8.591)/g2^8 + (g1^6*t^8.648)/g2^6 + (g2^21*t^8.672)/g1^45 + (3*g1^22*t^8.688)/g2^6 + (g2^21*t^8.712)/g1^29 - (8*g1^12*t^8.785)/g2^4 + (2*g2^23*t^8.81)/g1^39 + (3*g1^28*t^8.826)/g2^4 + (g2^25*t^8.867)/g1^65 - (2*g1^2*t^8.883)/g2^2 + (2*g2^25*t^8.907)/g1^49 + (4*g1^18*t^8.923)/g2^2 + (g2^25*t^8.947)/g1^33 - (4*t^8.98)/g1^8 - (g1*t^4.441)/(g2*y) - (g2^8*t^6.449)/(g1^16*y) - (g1^17*t^6.992)/(g2^9*y) - (g1^13*t^7.227)/(g2^5*y) - (g1^3*t^7.324)/(g2^3*y) + (2*g2*t^7.559)/(g1*y) + (g2^3*t^7.656)/(g1^11*y) + (2*g2^5*t^7.793)/(g1^5*y) + (2*g2^7*t^7.891)/(g1^15*y) + (g2^9*t^7.988)/(g1^25*y) + (g2^9*t^8.028)/(g1^9*y) + (g2^13*t^8.263)/(g1^13*y) + (2*g1^28*t^8.336)/(g2^12*y) + (2*g1^18*t^8.433)/(g2^10*y) - (g2^17*t^8.457)/(g1^33*y) + (g1^8*t^8.531)/(g2^8*y) + (2*g1^24*t^8.571)/(g2^8*y) + (2*g1^14*t^8.668)/(g2^6*y) + (2*g1^4*t^8.765)/(g2^4*y) + (3*g1^20*t^8.805)/(g2^4*y) + t^8.863/(g1^6*g2^2*y) + (g1^10*t^8.903)/(g2^2*y) - (g1*t^4.441*y)/g2 - (g2^8*t^6.449*y)/g1^16 - (g1^17*t^6.992*y)/g2^9 - (g1^13*t^7.227*y)/g2^5 - (g1^3*t^7.324*y)/g2^3 + (2*g2*t^7.559*y)/g1 + (g2^3*t^7.656*y)/g1^11 + (2*g2^5*t^7.793*y)/g1^5 + (2*g2^7*t^7.891*y)/g1^15 + (g2^9*t^7.988*y)/g1^25 + (g2^9*t^8.028*y)/g1^9 + (g2^13*t^8.263*y)/g1^13 + (2*g1^28*t^8.336*y)/g2^12 + (2*g1^18*t^8.433*y)/g2^10 - (g2^17*t^8.457*y)/g1^33 + (g1^8*t^8.531*y)/g2^8 + (2*g1^24*t^8.571*y)/g2^8 + (2*g1^14*t^8.668*y)/g2^6 + (2*g1^4*t^8.765*y)/g2^4 + (3*g1^20*t^8.805*y)/g2^4 + (t^8.863*y)/(g1^6*g2^2) + (g1^10*t^8.903*y)/g2^2 |
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 |
---|---|---|---|---|---|---|---|---|
56877 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{2}M_{6}$ + ${ }M_{7}\phi_{1}q_{1}^{2}$ + ${ }M_{7}\tilde{q}_{1}\tilde{q}_{2}$ | 0.7139 | 0.8924 | 0.8 | [M:[1.0681, 1.0857, 0.9319, 0.7604, 0.9143, 0.9143, 0.778], q:[0.3802, 0.5517], qb:[0.5341, 0.6879], phi:[0.4615]] | t^2.281 + t^2.334 + 2*t^2.743 + t^2.769 + t^2.796 + t^3.204 + t^3.666 + t^4.127 + t^4.18 + t^4.563 + 2*t^4.589 + t^4.615 + t^4.642 + t^4.668 + t^4.695 + 2*t^5.024 + 2*t^5.051 + 2*t^5.077 + 2*t^5.103 + t^5.13 + 3*t^5.486 + 3*t^5.512 + 2*t^5.538 + t^5.565 + 2*t^5.947 + t^5.974 - 2*t^6. - t^4.385/y - t^4.385*y | detail | |
56874 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{2}M_{6}$ + ${ }M_{7}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.5957 | 0.7565 | 0.7874 | [M:[1.281, 1.011, 0.719, 0.6969, 0.989, 0.989, 0.8761], q:[0.3485, 0.3706], qb:[0.6405, 0.9325], phi:[0.427]] | t^2.091 + t^2.157 + t^2.562 + t^2.628 + 2*t^2.967 + t^3.438 + t^3.504 + t^3.843 + t^4.182 + t^4.248 + t^4.314 + t^4.653 + 3*t^4.719 + t^4.785 + 2*t^5.058 + 3*t^5.124 + t^5.19 + t^5.256 + 2*t^5.529 + 3*t^5.595 + t^5.661 + 3*t^5.934 - t^6. - t^4.281/y - t^4.281*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 |
---|---|---|---|---|---|---|---|---|---|
47052 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{2}M_{6}$ | 0.708 | 0.8721 | 0.8119 | [M:[1.0068, 1.0721, 0.9932, 0.8491, 0.9279, 0.9279], q:[0.4245, 0.5687], qb:[0.5034, 0.5822], phi:[0.4803]] | t^2.547 + 2*t^2.784 + t^2.882 + t^2.98 + t^3.02 + t^3.257 + t^3.988 + t^4.225 + t^4.421 + 2*t^4.461 + t^4.657 + t^4.698 + t^4.853 + t^4.894 + t^4.934 + t^5.095 + 2*t^5.331 + t^5.429 + 3*t^5.568 + 2*t^5.666 + t^5.764 + 2*t^5.804 + t^5.861 + t^5.902 - 3*t^6. - t^4.441/y - t^4.441*y | detail |