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 |
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57966 | SU3adj1nf2 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ | 1.4325 | 1.62 | 0.8843 | [X:[1.4286], M:[0.7143, 0.7143], q:[0.5, 0.6429], qb:[0.5, 0.6429], phi:[0.2857]] | [X:[[0, 0]], M:[[0, 0], [0, 0]], q:[[-1, 0], [0, -1]], qb:[[1, 0], [0, 1]], phi:[[0, 0]]] | 2 | {a: 15723/10976, c: 17781/10976, X1: 10/7, M1: 5/7, M2: 5/7, q1: 1/2, q2: 9/14, qb1: 1/2, qb2: 9/14, phi1: 2/7} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }M_{2}$, ${ }\phi_{1}^{3}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}^{3}$, ${ }M_{2}\phi_{1}^{3}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{6}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{1}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}q_{2}$ | ${}\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$ | -1 | 2*t^2.14 + t^2.57 + t^3. + 2*t^3.43 + 6*t^4.29 + 4*t^4.71 + 5*t^5.14 + 4*t^5.57 + 2*t^5.79 - t^6. + 2*t^6.21 + 8*t^6.43 + 2*t^6.64 + 10*t^6.86 + 4*t^7.07 + 10*t^7.29 + 15*t^7.71 + 2*t^7.93 + 2*t^8.14 + 2*t^8.36 + 18*t^8.57 + t^8.57/y^2 - t^3.86/y - t^4.71/y - (2*t^6.)/y - t^6.43/y - (3*t^6.86)/y - (2*t^7.29)/y + (2*t^7.71)/y - (3*t^8.14)/y + (3*t^8.57)/y - t^3.86*y - t^4.71*y - 2*t^6.*y - t^6.43*y - 3*t^6.86*y - 2*t^7.29*y + 2*t^7.71*y - 3*t^8.14*y + 3*t^8.57*y + t^8.57*y^2 | 2*t^2.14 + t^2.57 + t^3. + (g1*t^3.43)/g2 + (g2*t^3.43)/g1 + 4*t^4.29 + (g1*t^4.29)/g2 + (g2*t^4.29)/g1 + 4*t^4.71 + 3*t^5.14 + (g1*t^5.14)/g2 + (g2*t^5.14)/g1 + 2*t^5.57 + (g1*t^5.57)/g2 + (g2*t^5.57)/g1 + t^5.79/(g1^2*g2) + g1^2*g2*t^5.79 - 3*t^6. + (g1*t^6.)/g2 + (g2*t^6.)/g1 + t^6.21/(g1*g2^2) + g1*g2^2*t^6.21 + 6*t^6.43 + (g1*t^6.43)/g2 + (g2*t^6.43)/g1 + t^6.64/(g1^2*g2) + g1^2*g2*t^6.64 + 6*t^6.86 + (g1^2*t^6.86)/g2^2 + (g1*t^6.86)/g2 + (g2*t^6.86)/g1 + (g2^2*t^6.86)/g1^2 + t^7.07/g1^3 + g1^3*t^7.07 + t^7.07/(g1*g2^2) + g1*g2^2*t^7.07 + 8*t^7.29 + (g1*t^7.29)/g2 + (g2*t^7.29)/g1 - t^7.5/(g1*g2^2) + t^7.5/(g1^2*g2) + g1^2*g2*t^7.5 - g1*g2^2*t^7.5 + 7*t^7.71 + (g1^2*t^7.71)/g2^2 + (3*g1*t^7.71)/g2 + (3*g2*t^7.71)/g1 + (g2^2*t^7.71)/g1^2 + t^7.93/(g1*g2^2) + g1*g2^2*t^7.93 - 4*t^8.14 + (3*g1*t^8.14)/g2 + (3*g2*t^8.14)/g1 - t^8.36/g1^3 - g1^3*t^8.36 + t^8.36/g2^3 + t^8.36/(g1^2*g2) + g1^2*g2*t^8.36 + g2^3*t^8.36 + 10*t^8.57 + (2*g1^2*t^8.57)/g2^2 + (2*g1*t^8.57)/g2 + (2*g2*t^8.57)/g1 + (2*g2^2*t^8.57)/g1^2 - t^8.79/g2^3 + t^8.79/(g1*g2^2) + g1*g2^2*t^8.79 - g2^3*t^8.79 + t^8.57/y^2 - t^3.86/y - t^4.71/y - (2*t^6.)/y - t^6.43/y - (3*t^6.86)/y - (g1*t^7.29)/(g2*y) - (g2*t^7.29)/(g1*y) + (2*t^7.71)/y - t^8.14/y - (g1*t^8.14)/(g2*y) - (g2*t^8.14)/(g1*y) - t^8.57/y + (2*g1*t^8.57)/(g2*y) + (2*g2*t^8.57)/(g1*y) - t^3.86*y - t^4.71*y - 2*t^6.*y - t^6.43*y - 3*t^6.86*y - (g1*t^7.29*y)/g2 - (g2*t^7.29*y)/g1 + 2*t^7.71*y - t^8.14*y - (g1*t^8.14*y)/g2 - (g2*t^8.14*y)/g1 - t^8.57*y + (2*g1*t^8.57*y)/g2 + (2*g2*t^8.57*y)/g1 + t^8.57*y^2 |
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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
57297 | SU3adj1nf2 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }q_{1}^{2}\tilde{q}_{1}^{2}$ | 1.4123 | 1.5819 | 0.8928 | [X:[1.4286], M:[0.7143], q:[0.5, 0.6429], qb:[0.5, 0.6429], phi:[0.2857]] | t^2.143 + t^2.571 + t^3. + 2*t^3.429 + t^3.857 + 4*t^4.286 + 3*t^4.714 + 4*t^5.143 + 2*t^5.571 + 2*t^5.786 - t^3.857/y - t^4.714/y - t^6./y - t^3.857*y - t^4.714*y - t^6.*y | detail | {a: 15501/10976, c: 17363/10976, X1: 10/7, M1: 5/7, q1: 1/2, q2: 9/14, qb1: 1/2, qb2: 9/14, phi1: 2/7} |