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 |
---|---|---|---|---|---|---|---|---|---|
2876 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{3}X_{1}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ | 0.6522 | 0.8132 | 0.802 | [X:[1.5182], M:[0.8467, 1.2117, 0.4818, 0.7883, 0.8467, 0.8467], q:[0.365, 0.7883], qb:[0.4234, 0.7299], phi:[0.4234]] | [X:[[7]], M:[[-4], [-1], [-7], [1], [-4], [-4]], q:[[3], [1]], qb:[[-2], [6]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{1}$, ${ }M_{5}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}M_{5}$, ${ }M_{4}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$ | ${}M_{4}\phi_{1}q_{1}\tilde{q}_{1}$ | -2 | t^2.365 + 4*t^2.54 + t^3.285 + 2*t^3.635 + t^3.81 + 2*t^4.555 + 2*t^4.73 + 3*t^4.905 + 9*t^5.08 + 2*t^5.65 + 3*t^5.825 - 2*t^6. + 5*t^6.175 + 3*t^6.35 + t^6.569 + 4*t^7.095 + 4*t^7.27 + 6*t^7.445 + 18*t^7.621 + 2*t^7.839 + 4*t^8.19 + 3*t^8.365 - 9*t^8.54 + 7*t^8.715 + 5*t^8.891 + 2*t^8.934 - t^4.27/y - (4*t^6.81)/y + (4*t^7.73)/y + (4*t^7.905)/y + (6*t^8.08)/y + t^8.65/y + (4*t^8.825)/y - t^4.27*y - 4*t^6.81*y + 4*t^7.73*y + 4*t^7.905*y + 6*t^8.08*y + t^8.65*y + 4*t^8.825*y | g1*t^2.365 + (4*t^2.54)/g1^4 + g1^9*t^3.285 + (2*t^3.635)/g1 + t^3.81/g1^6 + 2*g1^7*t^4.555 + 2*g1^2*t^4.73 + (3*t^4.905)/g1^3 + (9*t^5.08)/g1^8 + 2*g1^10*t^5.65 + 3*g1^5*t^5.825 - 2*t^6. + (5*t^6.175)/g1^5 + (3*t^6.35)/g1^10 + g1^18*t^6.569 + 4*g1^3*t^7.095 + (4*t^7.27)/g1^2 + (6*t^7.445)/g1^7 + (18*t^7.621)/g1^12 + 2*g1^16*t^7.839 + 4*g1^6*t^8.19 + 3*g1*t^8.365 - (9*t^8.54)/g1^4 + (7*t^8.715)/g1^9 + (5*t^8.891)/g1^14 + 2*g1^19*t^8.934 - t^4.27/(g1^2*y) - (4*t^6.81)/(g1^6*y) + (4*g1^2*t^7.73)/y + (4*t^7.905)/(g1^3*y) + (6*t^8.08)/(g1^8*y) + (g1^10*t^8.65)/y + (4*g1^5*t^8.825)/y - (t^4.27*y)/g1^2 - (4*t^6.81*y)/g1^6 + 4*g1^2*t^7.73*y + (4*t^7.905*y)/g1^3 + (6*t^8.08*y)/g1^8 + g1^10*t^8.65*y + 4*g1^5*t^8.825*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 |
---|---|---|---|---|---|---|---|---|
3439 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{3}X_{1}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{7}\phi_{1}q_{1}\tilde{q}_{1}$ | 0.6694 | 0.8436 | 0.7935 | [X:[1.5136], M:[0.8494, 1.2123, 0.4864, 0.7877, 0.8494, 0.8494, 0.7877], q:[0.363, 0.7877], qb:[0.4247, 0.726], phi:[0.4247]] | 2*t^2.363 + 4*t^2.548 + t^3.267 + t^3.637 + t^3.822 + 2*t^4.541 + 4*t^4.726 + 7*t^4.911 + 9*t^5.096 + 3*t^5.63 + 3*t^5.815 - 2*t^6. - t^4.274/y - t^4.274*y | detail | |
3440 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{3}X_{1}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6721 | 0.8505 | 0.7903 | [X:[1.5049], M:[0.8543, 1.2136, 0.4951, 0.7864, 0.8543, 0.8543, 0.7185], q:[0.3593, 0.7864], qb:[0.4272, 0.7185], phi:[0.4272]] | t^2.156 + t^2.359 + 4*t^2.563 + t^3.233 + 2*t^3.641 + t^4.311 + 3*t^4.515 + 6*t^4.719 + 3*t^4.922 + 9*t^5.126 + t^5.389 + 2*t^5.593 + 5*t^5.796 - 2*t^6. - t^4.281/y - t^4.281*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 |
---|---|---|---|---|---|---|---|---|---|
1865 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{3}X_{1}$ | 0.6393 | 0.7913 | 0.808 | [X:[1.4928], M:[0.8612, 1.2153, 0.5072, 0.7847, 0.8612], q:[0.3541, 0.7847], qb:[0.4306, 0.7081], phi:[0.4306]] | t^2.354 + 3*t^2.584 + t^3.187 + t^3.416 + 2*t^3.646 + t^3.876 + 2*t^4.479 + 2*t^4.708 + 2*t^4.938 + 5*t^5.167 + 2*t^5.541 + 3*t^5.77 + t^6. - t^4.292/y - t^4.292*y | detail |