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 |
---|---|---|---|---|---|---|---|---|---|
2366 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{3}M_{7}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ | 0.5521 | 0.6771 | 0.8154 | [X:[1.3342], M:[0.6658, 1.1517, 1.0309, 0.7275, 0.9691, 1.2725, 0.9691], q:[0.9396, 0.3946], qb:[0.3329, 0.6362], phi:[0.4242]] | [X:[[22]], M:[[-22], [4], [14], [6], [-14], [-6], [-14]], q:[[5], [17]], qb:[[-11], [-3]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{5}$, ${ }M_{7}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{6}$, ${ }X_{1}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{4}\phi_{1}q_{2}^{2}$ | ${}$ | -2 | t^2.183 + 2*t^2.907 + t^3.27 + 2*t^3.455 + t^3.64 + t^3.817 + t^4.003 + t^4.365 + t^4.728 + 2*t^5.09 + t^5.638 + 2*t^5.815 + t^5.823 - 2*t^6. + 2*t^6.177 + 2*t^6.362 + t^6.539 + t^6.548 + 2*t^6.725 + 3*t^6.91 + t^7.095 + 2*t^7.272 + t^7.281 + t^7.458 + t^7.635 + t^7.643 + 2*t^7.997 + 2*t^8.005 - 2*t^8.183 + t^8.545 + 2*t^8.722 + t^8.73 - 5*t^8.907 - t^4.272/y - t^7.18/y + t^7.365/y + (2*t^8.09)/y + t^8.452/y + (2*t^8.638)/y + t^8.815/y + t^8.823/y - t^4.272*y - t^7.18*y + t^7.365*y + 2*t^8.09*y + t^8.452*y + 2*t^8.638*y + t^8.815*y + t^8.823*y | g1^6*t^2.183 + (2*t^2.907)/g1^14 + t^3.27/g1^24 + 2*g1^4*t^3.455 + g1^32*t^3.64 + t^3.817/g1^6 + g1^22*t^4.003 + g1^12*t^4.365 + g1^2*t^4.728 + (2*t^5.09)/g1^8 + g1^10*t^5.638 + (2*t^5.815)/g1^28 + g1^38*t^5.823 - 2*t^6. + (2*t^6.177)/g1^38 + (2*t^6.362)/g1^10 + t^6.539/g1^48 + g1^18*t^6.548 + (2*t^6.725)/g1^20 + 3*g1^8*t^6.91 + g1^36*t^7.095 + (2*t^7.272)/g1^2 + g1^64*t^7.281 + g1^26*t^7.458 + t^7.635/g1^12 + g1^54*t^7.643 + (2*t^7.997)/g1^22 + 2*g1^44*t^8.005 - 2*g1^6*t^8.183 + t^8.545/g1^4 + (2*t^8.722)/g1^42 + g1^24*t^8.73 - (5*t^8.907)/g1^14 - t^4.272/(g1^2*y) - t^7.18/(g1^16*y) + (g1^12*t^7.365)/y + (2*t^8.09)/(g1^8*y) + t^8.452/(g1^18*y) + (2*g1^10*t^8.638)/y + t^8.815/(g1^28*y) + (g1^38*t^8.823)/y - (t^4.272*y)/g1^2 - (t^7.18*y)/g1^16 + g1^12*t^7.365*y + (2*t^8.09*y)/g1^8 + (t^8.452*y)/g1^18 + 2*g1^10*t^8.638*y + (t^8.815*y)/g1^28 + g1^38*t^8.823*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 |
---|---|---|---|---|---|---|---|---|
4363 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{3}M_{7}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{6}M_{8}$ | 0.572 | 0.7141 | 0.801 | [X:[1.3298], M:[0.6702, 1.1509, 1.028, 0.7263, 0.972, 1.2737, 0.972, 0.7263], q:[0.9386, 0.3912], qb:[0.3351, 0.6369], phi:[0.4246]] | 2*t^2.179 + 2*t^2.916 + t^3.284 + 2*t^3.453 + t^3.621 + t^3.989 + 3*t^4.358 + t^4.726 + 4*t^5.095 + t^5.463 + 3*t^5.631 + 2*t^5.8 + 2*t^5.832 - 3*t^6. - t^4.274/y - t^4.274*y | detail | |
4362 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{3}M_{7}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$ | 0.5706 | 0.7117 | 0.8018 | [X:[1.3642], M:[0.6358, 1.1571, 1.05, 0.7357, 0.95, 1.2643, 0.95, 0.7429], q:[0.9464, 0.4178], qb:[0.3179, 0.6321], phi:[0.4214]] | t^2.207 + t^2.229 + 2*t^2.85 + t^3.172 + 2*t^3.471 + t^3.793 + t^4.093 + t^4.414 + t^4.436 + t^4.458 + t^4.736 + 2*t^5.057 + 2*t^5.079 + t^5.4 + t^5.679 + 4*t^5.7 - 2*t^6. - t^4.264/y - t^4.264*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 |
---|---|---|---|---|---|---|---|---|---|
1331 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{3}M_{7}$ | 0.7046 | 0.8662 | 0.8135 | [M:[0.8644, 1.0339, 1.0679, 1.0001, 0.9321, 0.9999, 0.9321], q:[0.5677, 0.5679], qb:[0.4322, 0.4999], phi:[0.4831]] | t^2.593 + 2*t^2.796 + 2*t^3. + t^3.102 + t^3.203 + t^4.042 + t^4.246 + 3*t^4.449 + t^4.652 + t^4.653 + t^4.855 + t^4.856 + t^4.857 + t^5.186 + 2*t^5.39 + 3*t^5.593 + t^5.695 + 2*t^5.796 + 2*t^5.898 + 2*t^5.999 - 3*t^6. - t^4.449/y - t^4.449*y | detail |