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 |
---|---|---|---|---|---|---|---|---|---|
395 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ | 0.623 | 0.7792 | 0.7995 | [M:[1.2153, 1.1076, 0.7847, 0.8924], q:[0.75, 0.4271], qb:[0.3576, 0.4653], phi:[0.5]] | [M:[[2], [1], [-2], [-1]], q:[[0], [-3]], qb:[[1], [2]], phi:[[0]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}^{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{1}$ | ${}M_{4}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{1}\tilde{q}_{2}$ | 1 | t^2.354 + t^2.469 + t^2.677 + t^3. + t^3.323 + t^3.531 + 2*t^3.646 + t^3.854 + t^3.969 + t^4.063 + t^4.177 + t^4.292 + t^4.708 + t^4.823 + t^4.937 + t^5.031 + t^5.146 + 2*t^5.354 + t^5.469 + t^5.677 + t^6. + t^6.114 + t^6.208 + 2*t^6.323 + t^6.417 + t^6.437 + 2*t^6.531 + 3*t^6.646 + t^6.74 + t^6.76 + t^6.854 + 2*t^6.969 + 2*t^7.063 + t^7.177 + 3*t^7.292 + t^7.386 + t^7.406 + t^7.5 + t^7.594 + 2*t^7.614 + 3*t^7.708 + 2*t^7.823 + t^7.917 + 3*t^7.937 + 2*t^8.031 + t^8.125 + t^8.24 + t^8.26 + t^8.354 + 2*t^8.583 - t^8.677 + t^8.771 + t^8.886 + t^8.906 - t^4.5/y + t^7.823/y + t^8.031/y + t^8.146/y + t^8.354/y + t^8.469/y + (2*t^8.677)/y + t^8.792/y + t^8.886/y - t^4.5*y + t^7.823*y + t^8.031*y + t^8.146*y + t^8.354*y + t^8.469*y + 2*t^8.677*y + t^8.792*y + t^8.886*y | t^2.354/g1^2 + g1^3*t^2.469 + t^2.677/g1 + t^3. + g1*t^3.323 + t^3.531/g1^3 + 2*g1^2*t^3.646 + t^3.854/g1^2 + g1^3*t^3.969 + t^4.063/g1^6 + t^4.177/g1 + g1^4*t^4.292 + t^4.708/g1^4 + g1*t^4.823 + g1^6*t^4.937 + t^5.031/g1^3 + g1^2*t^5.146 + (2*t^5.354)/g1^2 + g1^3*t^5.469 + t^5.677/g1 + t^6. + g1^5*t^6.114 + t^6.208/g1^4 + 2*g1*t^6.323 + t^6.417/g1^8 + g1^6*t^6.437 + (2*t^6.531)/g1^3 + 3*g1^2*t^6.646 + t^6.74/g1^7 + g1^7*t^6.76 + t^6.854/g1^2 + 2*g1^3*t^6.969 + (2*t^7.063)/g1^6 + t^7.177/g1 + 3*g1^4*t^7.292 + t^7.386/g1^5 + g1^9*t^7.406 + t^7.5 + t^7.594/g1^9 + 2*g1^5*t^7.614 + (3*t^7.708)/g1^4 + 2*g1*t^7.823 + t^7.917/g1^8 + 3*g1^6*t^7.937 + (2*t^8.031)/g1^3 + t^8.125/g1^12 + t^8.24/g1^7 + g1^7*t^8.26 + t^8.354/g1^2 + 2*g1^8*t^8.583 - t^8.677/g1 + t^8.771/g1^10 + t^8.886/g1^5 + g1^9*t^8.906 - t^4.5/y + (g1*t^7.823)/y + t^8.031/(g1^3*y) + (g1^2*t^8.146)/y + t^8.354/(g1^2*y) + (g1^3*t^8.469)/y + (2*t^8.677)/(g1*y) + (g1^4*t^8.792)/y + t^8.886/(g1^5*y) - t^4.5*y + g1*t^7.823*y + (t^8.031*y)/g1^3 + g1^2*t^8.146*y + (t^8.354*y)/g1^2 + g1^3*t^8.469*y + (2*t^8.677*y)/g1 + g1^4*t^8.792*y + (t^8.886*y)/g1^5 |
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 |
---|---|---|---|---|---|---|---|---|
637 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{1}M_{5}$ | 0.6406 | 0.8108 | 0.7901 | [M:[1.223, 1.1115, 0.777, 0.8885, 0.777], q:[0.75, 0.4156], qb:[0.3615, 0.473], phi:[0.5]] | 2*t^2.331 + t^2.503 + t^2.666 + t^3. + t^3.334 + t^3.497 + t^3.669 + t^3.831 + t^3.993 + t^4.003 + t^4.166 + t^4.338 + 3*t^4.662 + 2*t^4.834 + 2*t^4.997 + t^5.007 + t^5.169 + 3*t^5.331 + t^5.503 + 2*t^5.666 + t^5.828 + t^6. - t^4.5/y - t^4.5*y | detail | |
638 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6432 | 0.8175 | 0.7868 | [M:[1.2117, 1.1059, 0.7883, 0.8941, 0.7117], q:[0.75, 0.4324], qb:[0.3559, 0.4617], phi:[0.5]] | t^2.135 + t^2.365 + t^2.453 + t^2.682 + t^3. + t^3.318 + t^3.547 + 2*t^3.635 + t^3.953 + t^4.095 + t^4.182 + 2*t^4.27 + t^4.5 + t^4.588 + t^4.73 + 2*t^4.818 + t^4.905 + t^5.047 + 2*t^5.135 + 2*t^5.365 + 2*t^5.453 + 2*t^5.682 + 2*t^5.77 + t^6. - t^4.5/y - t^4.5*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 |
---|---|---|---|---|---|---|---|---|---|
248 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ | 0.6134 | 0.7631 | 0.8038 | [M:[1.2089, 1.1045, 0.7911], q:[0.75, 0.4366], qb:[0.3545, 0.4589], phi:[0.5]] | t^2.373 + t^2.44 + t^3. + 2*t^3.313 + t^3.56 + 2*t^3.627 + t^3.873 + t^3.94 + t^4.12 + t^4.187 + t^4.253 + t^4.747 + t^4.813 + t^4.88 + t^5.373 + t^5.44 + t^5.687 + t^5.753 - t^4.5/y - t^4.5*y | detail |