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 |
---|---|---|---|---|---|---|---|---|---|
57628 | SU3adj1nf2 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ | 1.2438 | 1.3838 | 0.8988 | [X:[1.4599], M:[], q:[0.5766, 0.5766], qb:[0.8832, 0.3431], phi:[0.2701]] | [X:[[6]], M:[], q:[[1], [1]], qb:[[5], [11]], phi:[[-3]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}\phi_{1}^{3}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}^{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$ | ${}\phi_{1}^{4}q_{2}\tilde{q}_{2}$ | -1 | t^2.43 + 2*t^2.76 + 2*t^3.57 + 4*t^4.38 + t^4.86 + 3*t^5.19 + 5*t^5.52 - t^6. + 5*t^6.33 + 11*t^7.14 + t^7.29 + 10*t^7.95 + 8*t^8.28 - 2*t^8.43 + 3*t^8.76 + t^8.43/y^2 - t^3.81/y - t^4.62/y - t^6.24/y - (2*t^6.57)/y - t^7.05/y - (2*t^7.38)/y - t^8.19/y + t^8.52/y - t^8.67/y - t^3.81*y - t^4.62*y - t^6.24*y - 2*t^6.57*y - t^7.05*y - 2*t^7.38*y - t^8.19*y + t^8.52*y - t^8.67*y + t^8.43*y^2 | t^2.43/g1^9 + 2*g1^12*t^2.76 + 2*g1^9*t^3.57 + 4*g1^6*t^4.38 + t^4.86/g1^18 + 3*g1^3*t^5.19 + 5*g1^24*t^5.52 - t^6. + 5*g1^21*t^6.33 + 11*g1^18*t^7.14 + t^7.29/g1^27 + 10*g1^15*t^7.95 + 8*g1^36*t^8.28 - (2*t^8.43)/g1^9 + 3*g1^12*t^8.76 + t^8.43/(g1^9*y^2) - t^3.81/(g1^3*y) - t^4.62/(g1^6*y) - t^6.24/(g1^12*y) - (2*g1^9*t^6.57)/y - t^7.05/(g1^15*y) - (2*g1^6*t^7.38)/y - (g1^3*t^8.19)/y + (g1^24*t^8.52)/y - t^8.67/(g1^21*y) - (t^3.81*y)/g1^3 - (t^4.62*y)/g1^6 - (t^6.24*y)/g1^12 - 2*g1^9*t^6.57*y - (t^7.05*y)/g1^15 - 2*g1^6*t^7.38*y - g1^3*t^8.19*y + g1^24*t^8.52*y - (t^8.67*y)/g1^21 + (t^8.43*y^2)/g1^9 |
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 |
---|---|---|---|---|---|---|---|---|
58968 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }M_{1}\phi_{1}^{3}$ | 1.2283 | 1.3599 | 0.9032 | [X:[1.4525], M:[1.1787], q:[0.5754, 0.5754], qb:[0.8771, 0.3295], phi:[0.2738]] | 2*t^2.71 + 3*t^3.54 + 4*t^4.36 + t^5.18 + 5*t^5.43 - 3*t^6. - t^3.82/y - t^4.64/y - t^3.82*y - t^4.64*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 |
---|---|---|---|---|---|---|---|---|---|
47932 | SU3adj1nf2 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$ | 1.3274 | 1.4947 | 0.8881 | [X:[1.3871], q:[0.6577, 0.3782], qb:[0.7294, 0.3961], phi:[0.3064]] | t^2.323 + t^2.758 + t^3.161 + t^3.242 + t^3.323 + t^4.081 + 3*t^4.161 + t^4.242 + t^4.645 + 2*t^5.081 + t^5.161 + 2*t^5.484 + t^5.516 + t^5.565 + t^5.645 - t^6. - t^3.919/y - t^4.839/y - t^3.919*y - t^4.839*y | detail |