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 |
---|---|---|---|---|---|---|---|---|---|
1246 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{6}$ + ${ }M_{1}M_{6}$ + ${ }M_{6}M_{7}$ | 0.7101 | 0.9146 | 0.7764 | [M:[0.6941, 0.6941, 0.6883, 0.6922, 0.6903, 1.3059, 0.6941], q:[0.8241, 0.8298], qb:[0.4818, 0.4799], phi:[0.3461]] | [M:[[1, -5], [1, -5], [-8, 4], [-2, -2], [-5, 1], [-1, 5], [1, -5]], q:[[-4, 5], [5, -4]], qb:[[3, 0], [0, 3]], phi:[[-1, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }M_{5}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{7}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{3}M_{4}$, ${ }M_{5}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{4}M_{5}$, ${ }M_{3}M_{7}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{5}M_{7}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{4}$, ${ }M_{4}M_{7}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{7}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{7}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$ | ${}M_{5}q_{2}\tilde{q}_{2}$ | -2 | t^2.065 + t^2.071 + 2*t^2.077 + 2*t^2.082 + t^2.885 + t^3.912 + t^3.929 + t^4.13 + t^4.136 + 3*t^4.142 + 4*t^4.147 + 5*t^4.153 + 4*t^4.159 + 3*t^4.165 + t^4.95 + t^4.956 + 3*t^4.962 + 2*t^4.967 + t^5.77 + t^5.977 + t^5.983 + t^5.988 + t^5.994 - 2*t^6. + t^6.012 + t^6.195 + t^6.201 + 3*t^6.207 + 5*t^6.212 + 7*t^6.218 + 9*t^6.224 + 11*t^6.23 + 9*t^6.236 + 6*t^6.241 + 4*t^6.247 + t^6.797 + t^6.814 + t^7.015 + t^7.021 + 3*t^7.027 + 3*t^7.033 + 5*t^7.038 + 4*t^7.044 + 2*t^7.05 + t^7.824 + t^8.042 + t^8.048 + 2*t^8.053 + 2*t^8.059 - t^8.065 - 4*t^8.071 - 5*t^8.077 - 6*t^8.082 - 2*t^8.088 + t^8.094 + t^8.26 + t^8.266 + 3*t^8.272 + 5*t^8.277 + 8*t^8.283 + 11*t^8.289 + 16*t^8.295 + 17*t^8.301 + 20*t^8.306 + 18*t^8.312 + 13*t^8.318 + 8*t^8.324 + 5*t^8.33 + t^8.655 + t^8.862 + t^8.868 + t^8.874 - t^8.879 - 4*t^8.885 - t^8.891 - t^4.038/y - t^6.103/y - t^6.109/y - (2*t^6.115)/y - (2*t^6.121)/y + t^7.136/y + (2*t^7.142)/y + (4*t^7.147)/y + (3*t^7.153)/y + (4*t^7.159)/y + t^7.165/y + t^7.95/y + (3*t^7.956)/y + (4*t^7.962)/y + (3*t^7.967)/y + t^7.973/y - t^8.168/y - t^8.174/y - (3*t^8.18)/y - (4*t^8.186)/y - (5*t^8.192)/y - (4*t^8.197)/y - (3*t^8.203)/y + t^8.977/y + t^8.983/y + (2*t^8.988)/y + (3*t^8.994)/y - t^4.038*y - t^6.103*y - t^6.109*y - 2*t^6.115*y - 2*t^6.121*y + t^7.136*y + 2*t^7.142*y + 4*t^7.147*y + 3*t^7.153*y + 4*t^7.159*y + t^7.165*y + t^7.95*y + 3*t^7.956*y + 4*t^7.962*y + 3*t^7.967*y + t^7.973*y - t^8.168*y - t^8.174*y - 3*t^8.18*y - 4*t^8.186*y - 5*t^8.192*y - 4*t^8.197*y - 3*t^8.203*y + t^8.977*y + t^8.983*y + 2*t^8.988*y + 3*t^8.994*y | (g2^4*t^2.065)/g1^8 + (g2*t^2.071)/g1^5 + (2*t^2.077)/(g1^2*g2^2) + (2*g1*t^2.082)/g2^5 + g1^3*g2^3*t^2.885 + (g2^8*t^3.912)/g1^4 + (g1^5*t^3.929)/g2 + (g2^8*t^4.13)/g1^16 + (g2^5*t^4.136)/g1^13 + (3*g2^2*t^4.142)/g1^10 + (4*t^4.147)/(g1^7*g2) + (5*t^4.153)/(g1^4*g2^4) + (4*t^4.159)/(g1*g2^7) + (3*g1^2*t^4.165)/g2^10 + (g2^7*t^4.95)/g1^5 + (g2^4*t^4.956)/g1^2 + 3*g1*g2*t^4.962 + (2*g1^4*t^4.967)/g2^2 + g1^6*g2^6*t^5.77 + (g2^12*t^5.977)/g1^12 + (g2^9*t^5.983)/g1^9 + (g2^6*t^5.988)/g1^6 + (g2^3*t^5.994)/g1^3 - 2*t^6. + (g1^6*t^6.012)/g2^6 + (g2^12*t^6.195)/g1^24 + (g2^9*t^6.201)/g1^21 + (3*g2^6*t^6.207)/g1^18 + (5*g2^3*t^6.212)/g1^15 + (7*t^6.218)/g1^12 + (9*t^6.224)/(g1^9*g2^3) + (11*t^6.23)/(g1^6*g2^6) + (9*t^6.236)/(g1^3*g2^9) + (6*t^6.241)/g2^12 + (4*g1^3*t^6.247)/g2^15 + (g2^11*t^6.797)/g1 + g1^8*g2^2*t^6.814 + (g2^11*t^7.015)/g1^13 + (g2^8*t^7.021)/g1^10 + (3*g2^5*t^7.027)/g1^7 + (3*g2^2*t^7.033)/g1^4 + (5*t^7.038)/(g1*g2) + (4*g1^2*t^7.044)/g2^4 + (2*g1^5*t^7.05)/g2^7 + (g2^16*t^7.824)/g1^8 + (g2^16*t^8.042)/g1^20 + (g2^13*t^8.048)/g1^17 + (2*g2^10*t^8.053)/g1^14 + (2*g2^7*t^8.059)/g1^11 - (g2^4*t^8.065)/g1^8 - (4*g2*t^8.071)/g1^5 - (5*t^8.077)/(g1^2*g2^2) - (6*g1*t^8.082)/g2^5 - (2*g1^4*t^8.088)/g2^8 + (g1^7*t^8.094)/g2^11 + (g2^16*t^8.26)/g1^32 + (g2^13*t^8.266)/g1^29 + (3*g2^10*t^8.272)/g1^26 + (5*g2^7*t^8.277)/g1^23 + (8*g2^4*t^8.283)/g1^20 + (11*g2*t^8.289)/g1^17 + (16*t^8.295)/(g1^14*g2^2) + (17*t^8.301)/(g1^11*g2^5) + (20*t^8.306)/(g1^8*g2^8) + (18*t^8.312)/(g1^5*g2^11) + (13*t^8.318)/(g1^2*g2^14) + (8*g1*t^8.324)/g2^17 + (5*g1^4*t^8.33)/g2^20 + g1^9*g2^9*t^8.655 + (g2^15*t^8.862)/g1^9 + (g2^12*t^8.868)/g1^6 + (g2^9*t^8.874)/g1^3 - g2^6*t^8.879 - 4*g1^3*g2^3*t^8.885 - g1^6*t^8.891 - t^4.038/(g1*g2*y) - (g2^3*t^6.103)/(g1^9*y) - t^6.109/(g1^6*y) - (2*t^6.115)/(g1^3*g2^3*y) - (2*t^6.121)/(g2^6*y) + (g2^5*t^7.136)/(g1^13*y) + (2*g2^2*t^7.142)/(g1^10*y) + (4*t^7.147)/(g1^7*g2*y) + (3*t^7.153)/(g1^4*g2^4*y) + (4*t^7.159)/(g1*g2^7*y) + (g1^2*t^7.165)/(g2^10*y) + (g2^7*t^7.95)/(g1^5*y) + (3*g2^4*t^7.956)/(g1^2*y) + (4*g1*g2*t^7.962)/y + (3*g1^4*t^7.967)/(g2^2*y) + (g1^7*t^7.973)/(g2^5*y) - (g2^7*t^8.168)/(g1^17*y) - (g2^4*t^8.174)/(g1^14*y) - (3*g2*t^8.18)/(g1^11*y) - (4*t^8.186)/(g1^8*g2^2*y) - (5*t^8.192)/(g1^5*g2^5*y) - (4*t^8.197)/(g1^2*g2^8*y) - (3*g1*t^8.203)/(g2^11*y) + (g2^12*t^8.977)/(g1^12*y) + (g2^9*t^8.983)/(g1^9*y) + (2*g2^6*t^8.988)/(g1^6*y) + (3*g2^3*t^8.994)/(g1^3*y) - (t^4.038*y)/(g1*g2) - (g2^3*t^6.103*y)/g1^9 - (t^6.109*y)/g1^6 - (2*t^6.115*y)/(g1^3*g2^3) - (2*t^6.121*y)/g2^6 + (g2^5*t^7.136*y)/g1^13 + (2*g2^2*t^7.142*y)/g1^10 + (4*t^7.147*y)/(g1^7*g2) + (3*t^7.153*y)/(g1^4*g2^4) + (4*t^7.159*y)/(g1*g2^7) + (g1^2*t^7.165*y)/g2^10 + (g2^7*t^7.95*y)/g1^5 + (3*g2^4*t^7.956*y)/g1^2 + 4*g1*g2*t^7.962*y + (3*g1^4*t^7.967*y)/g2^2 + (g1^7*t^7.973*y)/g2^5 - (g2^7*t^8.168*y)/g1^17 - (g2^4*t^8.174*y)/g1^14 - (3*g2*t^8.18*y)/g1^11 - (4*t^8.186*y)/(g1^8*g2^2) - (5*t^8.192*y)/(g1^5*g2^5) - (4*t^8.197*y)/(g1^2*g2^8) - (3*g1*t^8.203*y)/g2^11 + (g2^12*t^8.977*y)/g1^12 + (g2^9*t^8.983*y)/g1^9 + (2*g2^6*t^8.988*y)/g1^6 + (3*g2^3*t^8.994*y)/g1^3 |
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 |
---|---|---|---|---|---|---|---|---|
2292 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{6}$ + ${ }M_{1}M_{6}$ + ${ }M_{6}M_{7}$ + ${ }M_{8}q_{1}\tilde{q}_{2}$ | 0.7308 | 0.955 | 0.7652 | [M:[0.6885, 0.6885, 0.6926, 0.6899, 0.6912, 1.3115, 0.6885, 0.6871], q:[0.8296, 0.8255], qb:[0.4819, 0.4833], phi:[0.3449]] | t^2.061 + 2*t^2.065 + 2*t^2.07 + t^2.074 + t^2.078 + t^2.896 + t^3.926 + t^4.123 + 2*t^4.127 + 5*t^4.131 + 5*t^4.135 + 6*t^4.139 + 4*t^4.143 + 3*t^4.147 + t^4.151 + t^4.155 + t^4.957 + 2*t^4.961 + 3*t^4.965 + t^4.969 + t^4.973 + t^5.791 + t^5.988 + t^5.992 - 2*t^6. - t^4.035/y - t^4.035*y | detail | |
2293 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{6}$ + ${ }M_{1}M_{6}$ + ${ }M_{6}M_{7}$ + ${ }M_{8}q_{2}\tilde{q}_{2}$ | 0.7308 | 0.9552 | 0.7651 | [M:[0.6937, 0.6937, 0.6836, 0.6903, 0.687, 1.3063, 0.6937, 0.687], q:[0.8224, 0.8324], qb:[0.4839, 0.4806], phi:[0.3452]] | t^2.051 + 2*t^2.061 + 2*t^2.071 + 2*t^2.081 + t^2.894 + t^3.909 + t^4.102 + 2*t^4.112 + 5*t^4.122 + 6*t^4.132 + 7*t^4.142 + 4*t^4.152 + 3*t^4.162 + t^4.945 + 2*t^4.955 + 3*t^4.965 + 2*t^4.975 + t^5.787 + t^5.96 + 2*t^5.97 + t^5.98 - 3*t^6. - t^4.035/y - t^4.035*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 |
---|---|---|---|---|---|---|---|---|---|
764 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{6}$ + ${ }M_{1}M_{6}$ | 0.6895 | 0.8749 | 0.7881 | [M:[0.7005, 0.7005, 0.6863, 0.6958, 0.6911, 1.2995], q:[0.819, 0.8331], qb:[0.4805, 0.4758], phi:[0.3479]] | t^2.059 + t^2.073 + 2*t^2.087 + t^2.102 + t^2.869 + t^3.884 + t^3.898 + t^3.927 + t^4.118 + t^4.132 + 3*t^4.146 + 3*t^4.161 + 4*t^4.175 + 2*t^4.189 + t^4.203 + t^4.928 + t^4.942 + 3*t^4.956 + t^4.97 + t^5.738 + t^5.943 + 2*t^5.958 + 2*t^5.972 + 2*t^5.986 - t^6. - t^4.044/y - t^4.044*y | detail |