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 |
---|---|---|---|---|---|---|---|---|---|
56828 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{5}$ + ${ }M_{7}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{4}M_{8}$ | 0.7393 | 0.93 | 0.7949 | [M:[0.937, 0.8332, 0.9591, 1.063, 1.0409, 0.8552, 0.6928, 0.937], q:[0.5425, 0.5205], qb:[0.6243, 0.4166], phi:[0.474]] | [M:[[4, 12], [0, 16], [-8, -8], [-4, -12], [8, 8], [-12, -4], [1, -17], [4, 12]], q:[[-8, -16], [4, 4]], qb:[[8, 0], [0, 8]], phi:[[-1, 1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{7}$, ${ }M_{2}$, ${ }M_{6}$, ${ }M_{1}$, ${ }M_{8}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{5}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{7}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{7}$, ${ }M_{7}M_{8}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}M_{7}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{8}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{1}M_{6}$, ${ }M_{6}M_{8}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{1}M_{8}$, ${ }M_{8}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{8}\phi_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{5}M_{6}$, ${ }M_{3}M_{8}$, ${ }\phi_{1}^{4}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{5}M_{8}$, ${ }M_{5}\phi_{1}^{2}$ | ${}$ | -3 | t^2.078 + t^2.5 + t^2.566 + 2*t^2.811 + t^2.844 + t^2.877 + t^3.123 + t^4.157 + t^4.233 + t^4.299 + 2*t^4.545 + t^4.578 + t^4.611 + t^4.644 + t^4.677 + t^4.856 + 2*t^4.889 + 2*t^4.923 + t^4.956 + t^4.999 + t^5.065 + t^5.131 + t^5.168 + t^5.201 + 2*t^5.311 + t^5.344 + 2*t^5.377 + t^5.41 + t^5.443 + 3*t^5.622 + 2*t^5.655 + 2*t^5.688 + t^5.721 + t^5.934 + t^5.967 - 3*t^6. - t^6.066 + t^6.235 - 2*t^6.312 + t^6.623 + t^6.656 + t^6.689 + t^6.722 + t^6.733 + t^6.755 + t^6.799 + t^6.865 + t^6.935 + 2*t^6.968 + 2*t^7.001 + t^7.034 + 3*t^7.044 + t^7.077 + 3*t^7.111 + 2*t^7.144 + 2*t^7.177 + t^7.21 + t^7.243 + t^7.246 + t^7.279 + 4*t^7.356 + 3*t^7.389 + 3*t^7.422 + 2*t^7.455 + 3*t^7.488 + t^7.499 + 2*t^7.521 + t^7.554 + t^7.565 + t^7.631 + 3*t^7.668 + t^7.697 + 2*t^7.701 + 2*t^7.734 + 2*t^7.767 + t^7.8 + 2*t^7.81 - t^7.833 + t^7.843 + 2*t^7.876 + t^7.909 + 2*t^7.942 + t^7.976 + 2*t^7.979 + t^8.009 + t^8.012 - 4*t^8.078 - t^8.111 + 3*t^8.122 - t^8.144 + 2*t^8.155 + 2*t^8.188 + 2*t^8.221 + 2*t^8.254 + t^8.287 + t^8.291 + t^8.313 - t^8.324 - t^8.357 - 2*t^8.39 + 3*t^8.433 + 3*t^8.466 - 2*t^8.5 + 2*t^8.533 - 3*t^8.566 - t^8.632 + t^8.702 + t^8.735 + t^8.745 + t^8.768 + 2*t^8.778 + t^8.801 - 8*t^8.811 + t^8.834 - 2*t^8.844 - 6*t^8.877 - t^8.943 + t^8.976 - t^4.422/y - t^6.5/y - t^6.922/y - t^6.988/y - t^7.233/y - t^7.266/y + (2*t^7.578)/y + t^7.611/y + t^7.644/y + t^7.856/y + (2*t^7.889)/y + (2*t^7.923)/y + t^7.956/y + t^8.065/y + t^8.201/y + (2*t^8.311)/y + (2*t^8.344)/y + (3*t^8.377)/y + t^8.41/y + t^8.443/y - t^8.579/y + (2*t^8.622)/y + (2*t^8.655)/y + (3*t^8.688)/y + t^8.721/y + (2*t^8.934)/y + t^8.967/y - t^4.422*y - t^6.5*y - t^6.922*y - t^6.988*y - t^7.233*y - t^7.266*y + 2*t^7.578*y + t^7.611*y + t^7.644*y + t^7.856*y + 2*t^7.889*y + 2*t^7.923*y + t^7.956*y + t^8.065*y + t^8.201*y + 2*t^8.311*y + 2*t^8.344*y + 3*t^8.377*y + t^8.41*y + t^8.443*y - t^8.579*y + 2*t^8.622*y + 2*t^8.655*y + 3*t^8.688*y + t^8.721*y + 2*t^8.934*y + t^8.967*y | (g1*t^2.078)/g2^17 + g2^16*t^2.5 + t^2.566/(g1^12*g2^4) + 2*g1^4*g2^12*t^2.811 + (g2^2*t^2.844)/g1^2 + t^2.877/(g1^8*g2^8) + g1^8*g2^8*t^3.123 + (g1^2*t^4.157)/g2^34 + g1^3*g2^13*t^4.233 + t^4.299/(g1^9*g2^7) + 2*g1^7*g2^9*t^4.545 + (g1*t^4.578)/g2 + t^4.611/(g1^5*g2^11) + t^4.644/(g1^11*g2^21) + t^4.677/(g1^17*g2^31) + g1^11*g2^5*t^4.856 + (2*g1^5*t^4.889)/g2^5 + (2*t^4.923)/(g1*g2^15) + t^4.956/(g1^7*g2^25) + g2^32*t^4.999 + (g2^12*t^5.065)/g1^12 + t^5.131/(g1^24*g2^8) + g1^15*g2*t^5.168 + (g1^9*t^5.201)/g2^9 + 2*g1^4*g2^28*t^5.311 + (g2^18*t^5.344)/g1^2 + (2*g2^8*t^5.377)/g1^8 + t^5.41/(g1^14*g2^2) + t^5.443/(g1^20*g2^12) + 3*g1^8*g2^24*t^5.622 + 2*g1^2*g2^14*t^5.655 + (2*g2^4*t^5.688)/g1^4 + t^5.721/(g1^10*g2^6) + g1^12*g2^20*t^5.934 + g1^6*g2^10*t^5.967 - 3*t^6. - t^6.066/(g1^12*g2^20) + (g1^3*t^6.235)/g2^51 - (2*g1^4*t^6.312)/g2^4 + (g1^8*t^6.623)/g2^8 + (g1^2*t^6.656)/g2^18 + t^6.689/(g1^4*g2^28) + t^6.722/(g1^10*g2^38) + g1^3*g2^29*t^6.733 + t^6.755/(g1^16*g2^48) + (g2^9*t^6.799)/g1^9 + t^6.865/(g1^21*g2^11) + (g1^12*t^6.935)/g2^12 + (2*g1^6*t^6.968)/g2^22 + (2*t^7.001)/g2^32 + t^7.034/(g1^6*g2^42) + 3*g1^7*g2^25*t^7.044 + g1*g2^15*t^7.077 + (3*g2^5*t^7.111)/g1^5 + (2*t^7.144)/(g1^11*g2^5) + (2*t^7.177)/(g1^17*g2^15) + t^7.21/(g1^23*g2^25) + t^7.243/(g1^29*g2^35) + (g1^16*t^7.246)/g2^16 + (g1^10*t^7.279)/g2^26 + 4*g1^11*g2^21*t^7.356 + 3*g1^5*g2^11*t^7.389 + (3*g2*t^7.422)/g1 + (2*t^7.455)/(g1^7*g2^9) + (3*t^7.488)/(g1^13*g2^19) + g2^48*t^7.499 + (2*t^7.521)/(g1^19*g2^29) + t^7.554/(g1^25*g2^39) + (g2^28*t^7.565)/g1^12 + (g2^8*t^7.631)/g1^24 + 3*g1^15*g2^17*t^7.668 + t^7.697/(g1^36*g2^12) + 2*g1^9*g2^7*t^7.701 + (2*g1^3*t^7.734)/g2^3 + (2*t^7.767)/(g1^3*g2^13) + t^7.8/(g1^9*g2^23) + 2*g1^4*g2^44*t^7.81 - t^7.833/(g1^15*g2^33) + (g2^34*t^7.843)/g1^2 + (2*g2^24*t^7.876)/g1^8 + (g2^14*t^7.909)/g1^14 + (2*g2^4*t^7.942)/g1^20 + t^7.976/(g1^26*g2^6) + 2*g1^19*g2^13*t^7.979 + t^8.009/(g1^32*g2^16) + g1^13*g2^3*t^8.012 - (4*g1*t^8.078)/g2^17 - t^8.111/(g1^5*g2^27) + 3*g1^8*g2^40*t^8.122 - t^8.144/(g1^11*g2^37) + 2*g1^2*g2^30*t^8.155 + (2*g2^20*t^8.188)/g1^4 + (2*g2^10*t^8.221)/g1^10 + (2*t^8.254)/g1^16 + t^8.287/(g1^22*g2^10) + g1^23*g2^9*t^8.291 + (g1^4*t^8.313)/g2^68 - (g1^17*t^8.324)/g2 - (g1^11*t^8.357)/g2^11 - (2*g1^5*t^8.39)/g2^21 + 3*g1^12*g2^36*t^8.433 + 3*g1^6*g2^26*t^8.466 - 2*g2^16*t^8.5 + (2*g2^6*t^8.533)/g1^6 - (3*t^8.566)/(g1^12*g2^4) - t^8.632/(g1^24*g2^24) + (g1^9*t^8.702)/g2^25 + (g1^3*t^8.735)/g2^35 + g1^16*g2^32*t^8.745 + t^8.768/(g1^3*g2^45) + 2*g1^10*g2^22*t^8.778 + t^8.801/(g1^9*g2^55) - 8*g1^4*g2^12*t^8.811 + t^8.834/(g1^15*g2^65) - (2*g2^2*t^8.844)/g1^2 - (6*t^8.877)/(g1^8*g2^8) - t^8.943/(g1^20*g2^28) + t^8.976/(g1^26*g2^38) - (g2*t^4.422)/(g1*y) - t^6.5/(g2^16*y) - (g2^17*t^6.922)/(g1*y) - t^6.988/(g1^13*g2^3*y) - (g1^3*g2^13*t^7.233)/y - (g2^3*t^7.266)/(g1^3*y) + (2*g1*t^7.578)/(g2*y) + t^7.611/(g1^5*g2^11*y) + t^7.644/(g1^11*g2^21*y) + (g1^11*g2^5*t^7.856)/y + (2*g1^5*t^7.889)/(g2^5*y) + (2*t^7.923)/(g1*g2^15*y) + t^7.956/(g1^7*g2^25*y) + (g2^12*t^8.065)/(g1^12*y) + (g1^9*t^8.201)/(g2^9*y) + (2*g1^4*g2^28*t^8.311)/y + (2*g2^18*t^8.344)/(g1^2*y) + (3*g2^8*t^8.377)/(g1^8*y) + t^8.41/(g1^14*g2^2*y) + t^8.443/(g1^20*g2^12*y) - (g1*t^8.579)/(g2^33*y) + (2*g1^8*g2^24*t^8.622)/y + (2*g1^2*g2^14*t^8.655)/y + (3*g2^4*t^8.688)/(g1^4*y) + t^8.721/(g1^10*g2^6*y) + (2*g1^12*g2^20*t^8.934)/y + (g1^6*g2^10*t^8.967)/y - (g2*t^4.422*y)/g1 - (t^6.5*y)/g2^16 - (g2^17*t^6.922*y)/g1 - (t^6.988*y)/(g1^13*g2^3) - g1^3*g2^13*t^7.233*y - (g2^3*t^7.266*y)/g1^3 + (2*g1*t^7.578*y)/g2 + (t^7.611*y)/(g1^5*g2^11) + (t^7.644*y)/(g1^11*g2^21) + g1^11*g2^5*t^7.856*y + (2*g1^5*t^7.889*y)/g2^5 + (2*t^7.923*y)/(g1*g2^15) + (t^7.956*y)/(g1^7*g2^25) + (g2^12*t^8.065*y)/g1^12 + (g1^9*t^8.201*y)/g2^9 + 2*g1^4*g2^28*t^8.311*y + (2*g2^18*t^8.344*y)/g1^2 + (3*g2^8*t^8.377*y)/g1^8 + (t^8.41*y)/(g1^14*g2^2) + (t^8.443*y)/(g1^20*g2^12) - (g1*t^8.579*y)/g2^33 + 2*g1^8*g2^24*t^8.622*y + 2*g1^2*g2^14*t^8.655*y + (3*g2^4*t^8.688*y)/g1^4 + (t^8.721*y)/(g1^10*g2^6) + 2*g1^12*g2^20*t^8.934*y + g1^6*g2^10*t^8.967*y |
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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
55151 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{5}$ + ${ }M_{7}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{4}$ | 0.7342 | 0.9219 | 0.7964 | [M:[0.9538, 0.8541, 0.9466, 1.0462, 1.0534, 0.847, 0.6708], q:[0.5195, 0.5267], qb:[0.6263, 0.4271], phi:[0.4751]] | t^2.012 + t^2.541 + t^2.562 + t^2.84 + t^2.851 + t^2.861 + t^3.139 + t^3.16 + t^4.025 + t^4.265 + t^4.287 + t^4.543 + t^4.553 + t^4.564 + t^4.575 + 2*t^4.585 + t^4.852 + 2*t^4.863 + t^4.874 + t^4.884 + t^5.082 + t^5.103 + t^5.125 + t^5.151 + t^5.173 + t^5.183 + t^5.381 + t^5.391 + t^5.402 + t^5.413 + t^5.424 + t^5.68 + t^5.69 + 2*t^5.701 + t^5.712 + t^5.723 + t^5.989 - 2*t^6. - t^4.425/y - t^4.425*y | detail |