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 |
---|---|---|---|---|---|---|---|---|---|
718 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ | 0.6858 | 0.8499 | 0.8069 | [M:[1.011, 1.1209, 0.945, 0.7473, 0.7473], q:[0.7802, 0.4066], qb:[0.5825, 0.4725], phi:[0.4396]] | [M:[[32], [-12], [22], [-8], [-8]], q:[[-3], [1]], qb:[[-33], [11]], phi:[[6]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{2}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{3}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{4}q_{1}q_{2}$, ${ }M_{5}q_{1}q_{2}$, ${ }M_{1}M_{3}$ | ${}$ | -2 | 2*t^2.242 + t^2.637 + t^2.835 + t^3.033 + t^3.363 + t^3.56 + t^3.956 + t^4.088 + t^4.154 + t^4.286 + 4*t^4.484 + t^4.813 + 2*t^4.879 + 2*t^5.077 + 3*t^5.275 + 2*t^5.604 + t^5.67 + t^5.802 + t^5.868 - 2*t^6. + t^6.066 + 2*t^6.198 + t^6.33 + 3*t^6.396 + t^6.528 + t^6.593 + 6*t^6.725 + t^6.791 + t^6.923 + t^6.989 + 2*t^7.055 + 3*t^7.121 + t^7.187 + 3*t^7.319 + t^7.451 + 5*t^7.516 + t^7.648 + 3*t^7.846 + 3*t^7.912 + t^8.044 + 3*t^8.11 + t^8.176 - 5*t^8.242 + 3*t^8.308 + t^8.374 + 2*t^8.44 + t^8.505 + t^8.572 + 3*t^8.637 + t^8.703 + t^8.769 - 2*t^8.835 + 2*t^8.901 + 8*t^8.967 - t^4.319/y - (2*t^6.56)/y - t^7.154/y + t^7.286/y - t^7.352/y + (2*t^7.484)/y + (2*t^7.879)/y + (4*t^8.077)/y + (2*t^8.275)/y + t^8.472/y + (2*t^8.604)/y + t^8.67/y - t^8.802/y + t^8.868/y - t^4.319*y - 2*t^6.56*y - t^7.154*y + t^7.286*y - t^7.352*y + 2*t^7.484*y + 2*t^7.879*y + 4*t^8.077*y + 2*t^8.275*y + t^8.472*y + 2*t^8.604*y + t^8.67*y - t^8.802*y + t^8.868*y | (2*t^2.242)/g1^8 + g1^12*t^2.637 + g1^22*t^2.835 + g1^32*t^3.033 + t^3.363/g1^12 + t^3.56/g1^2 + g1^18*t^3.956 + t^4.088/g1^36 + g1^28*t^4.154 + t^4.286/g1^26 + (4*t^4.484)/g1^16 + t^4.813/g1^60 + 2*g1^4*t^4.879 + 2*g1^14*t^5.077 + 3*g1^24*t^5.275 + (2*t^5.604)/g1^20 + g1^44*t^5.67 + t^5.802/g1^10 + g1^54*t^5.868 - 2*t^6. + g1^64*t^6.066 + 2*g1^10*t^6.198 + t^6.33/g1^44 + 3*g1^20*t^6.396 + t^6.528/g1^34 + g1^30*t^6.593 + (6*t^6.725)/g1^24 + g1^40*t^6.791 + t^6.923/g1^14 + g1^50*t^6.989 + (2*t^7.055)/g1^68 + (3*t^7.121)/g1^4 + g1^60*t^7.187 + 3*g1^6*t^7.319 + t^7.451/g1^48 + 5*g1^16*t^7.516 + t^7.648/g1^38 + (3*t^7.846)/g1^28 + 3*g1^36*t^7.912 + t^8.044/g1^18 + 3*g1^46*t^8.11 + t^8.176/g1^72 - (5*t^8.242)/g1^8 + 3*g1^56*t^8.308 + t^8.374/g1^62 + 2*g1^2*t^8.44 + g1^66*t^8.505 + t^8.572/g1^52 + 3*g1^12*t^8.637 + g1^76*t^8.703 + t^8.769/g1^42 - 2*g1^22*t^8.835 + t^8.901/g1^96 + g1^86*t^8.901 + (8*t^8.967)/g1^32 - (g1^6*t^4.319)/y - (2*t^6.56)/(g1^2*y) - (g1^28*t^7.154)/y + t^7.286/(g1^26*y) - (g1^38*t^7.352)/y + (2*t^7.484)/(g1^16*y) + (2*g1^4*t^7.879)/y + (4*g1^14*t^8.077)/y + (2*g1^24*t^8.275)/y + (g1^34*t^8.472)/y + (2*t^8.604)/(g1^20*y) + (g1^44*t^8.67)/y - t^8.802/(g1^10*y) + (g1^54*t^8.868)/y - g1^6*t^4.319*y - (2*t^6.56*y)/g1^2 - g1^28*t^7.154*y + (t^7.286*y)/g1^26 - g1^38*t^7.352*y + (2*t^7.484*y)/g1^16 + 2*g1^4*t^7.879*y + 4*g1^14*t^8.077*y + 2*g1^24*t^8.275*y + g1^34*t^8.472*y + (2*t^8.604*y)/g1^20 + g1^44*t^8.67*y - (t^8.802*y)/g1^10 + g1^54*t^8.868*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 |
---|---|---|---|---|---|---|---|---|
1183 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ | 0.6852 | 0.8495 | 0.8065 | [M:[1.037, 1.1111, 0.963, 0.7407, 0.7407], q:[0.7778, 0.4074], qb:[0.5556, 0.4815], phi:[0.4444]] | 2*t^2.222 + t^2.667 + t^2.889 + t^3.111 + t^3.333 + t^3.556 + 2*t^4. + 2*t^4.222 + 4*t^4.444 + t^4.667 + 2*t^4.889 + 2*t^5.111 + 3*t^5.333 + 2*t^5.556 + 2*t^5.778 - t^6. - t^4.333/y - t^4.333*y | detail | {a: 23975/34992, c: 14863/17496, M1: 28/27, M2: 10/9, M3: 26/27, M4: 20/27, M5: 20/27, q1: 7/9, q2: 11/27, qb1: 5/9, qb2: 13/27, phi1: 4/9} |
1184 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{6}$ | 0.6891 | 0.8573 | 0.8038 | [M:[1.0587, 1.103, 0.9779, 0.7353, 0.7353, 0.9413], q:[0.7757, 0.4081], qb:[0.5332, 0.4889], phi:[0.4485]] | 2*t^2.206 + t^2.691 + t^2.824 + t^2.934 + t^3.309 + t^3.551 + t^3.927 + t^4.037 + t^4.169 + t^4.279 + 4*t^4.412 + t^4.545 + 2*t^4.897 + 2*t^5.03 + 2*t^5.14 + t^5.382 + 3*t^5.515 + t^5.648 + 2*t^5.757 - 2*t^6. - t^4.346/y - t^4.346*y | detail | |
1181 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.7066 | 0.8907 | 0.7932 | [M:[1.0132, 1.1201, 0.9466, 0.7467, 0.7467, 0.6801], q:[0.78, 0.4067], qb:[0.5802, 0.4733], phi:[0.44]] | t^2.04 + 2*t^2.24 + t^2.64 + t^2.84 + t^3.04 + t^3.36 + t^3.56 + 2*t^4.081 + t^4.16 + 3*t^4.28 + 4*t^4.48 + t^4.68 + t^4.801 + 3*t^4.88 + 3*t^5.08 + 3*t^5.28 + t^5.4 + 3*t^5.6 + t^5.679 + t^5.8 + t^5.879 - 2*t^6. - t^4.32/y - t^4.32*y | detail | {a: 302420677/428009496, c: 95310743/107002374, M1: 12836/12669, M2: 4730/4223, M3: 11992/12669, M4: 9460/12669, M5: 9460/12669, M6: 2872/4223, q1: 3294/4223, q2: 5152/12669, qb1: 2450/4223, qb2: 5996/12669, phi1: 1858/4223} |
1179 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}q_{2}$ | 0.7015 | 0.8773 | 0.7996 | [M:[1.0088, 1.1217, 0.9436, 0.7478, 0.7478, 0.8131], q:[0.7804, 0.4065], qb:[0.5847, 0.4718], phi:[0.4392]] | 2*t^2.243 + t^2.439 + t^2.635 + t^2.831 + t^3.026 + t^3.365 + t^3.952 + t^4.095 + t^4.148 + t^4.291 + 4*t^4.487 + 2*t^4.683 + t^4.825 + 3*t^4.878 + 3*t^5.074 + 4*t^5.27 + t^5.466 + 2*t^5.608 + t^5.661 + t^5.857 - 2*t^6. - t^4.317/y - t^4.317*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 |
---|---|---|---|---|---|---|---|---|---|
430 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ | 0.6667 | 0.8151 | 0.8179 | [M:[1.0055, 1.1229, 0.9413, 0.7486], q:[0.7807, 0.4064], qb:[0.588, 0.4707], phi:[0.4385]] | t^2.246 + t^2.631 + t^2.824 + t^3.017 + t^3.369 + t^3.561 + t^3.754 + t^3.947 + t^4.106 + t^4.14 + t^4.299 + 2*t^4.492 + t^4.844 + t^4.877 + t^5.07 + 2*t^5.262 + t^5.615 + t^5.648 + t^5.841 - t^6. - t^4.316/y - t^4.316*y | detail |