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 |
---|---|---|---|---|---|---|---|---|---|
57426 | SU3adj1nf2 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}^{2}$ | 1.1082 | 1.2332 | 0.8986 | [X:[1.5], M:[1.0], q:[0.375, 0.875], qb:[0.375, 0.875], phi:[0.25]] | [X:[[0, 0]], M:[[0, 0]], q:[[-1, 0], [0, -1]], qb:[[1, 0], [0, 1]], phi:[[0, 0]]] | 2 | {a: 4539/4096, c: 5051/4096, X1: 3/2, M1: 1, q1: 3/8, q2: 7/8, qb1: 3/8, qb2: 7/8, phi1: 1/4} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}\phi_{1}^{3}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{6}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{1}$, ${ }q_{1}^{2}\tilde{q}_{1}^{2}$, ${ }X_{1}$, ${ }M_{1}\phi_{1}^{3}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{1}^{3}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{3}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | ${}\phi_{1}^{5}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}^{2}\tilde{q}_{1}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ | 2 | 2*t^2.25 + t^3. + 3*t^3.75 + 4*t^4.5 + 3*t^5.25 + 4*t^5.625 + 2*t^6. + 8*t^6.75 + 8*t^7.5 + 4*t^7.875 + 6*t^8.25 + t^8.25/y^2 - t^3.75/y - t^4.5/y - (2*t^6.)/y - (2*t^6.75)/y - (2*t^7.5)/y - t^8.25/y - t^3.75*y - t^4.5*y - 2*t^6.*y - 2*t^6.75*y - 2*t^7.5*y - t^8.25*y + t^8.25*y^2 | 2*t^2.25 + t^3. + t^3.75 + (g1*t^3.75)/g2 + (g2*t^3.75)/g1 + 4*t^4.5 + 3*t^5.25 + t^5.625/g1^3 + g1^3*t^5.625 + t^5.625/(g1^2*g2) + g1^2*g2*t^5.625 + (g1*t^6.)/g2 + (g2*t^6.)/g1 + 6*t^6.75 + (g1*t^6.75)/g2 + (g2*t^6.75)/g1 + 6*t^7.5 + (g1^2*t^7.5)/g2^2 + (g2^2*t^7.5)/g1^2 + t^7.875/g1^3 + g1^3*t^7.875 + t^7.875/(g1^2*g2) + g1^2*g2*t^7.875 + 2*t^8.25 + (2*g1*t^8.25)/g2 + (2*g2*t^8.25)/g1 + t^8.25/y^2 - t^3.75/y - t^4.5/y - (2*t^6.)/y - (2*t^6.75)/y - (g1*t^7.5)/(g2*y) - (g2*t^7.5)/(g1*y) - t^8.25/y - t^3.75*y - t^4.5*y - 2*t^6.*y - 2*t^6.75*y - (g1*t^7.5*y)/g2 - (g2*t^7.5*y)/g1 - t^8.25*y + t^8.25*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 |
---|---|---|---|---|---|---|---|---|
59668 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}^{2}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ | 1.1027 | 1.2277 | 0.8982 | [X:[1.5], M:[1.0], q:[0.4028, 0.9444], qb:[0.3472, 0.8056], phi:[0.25]] | 2*t^2.25 + t^3. + t^3.62 + t^3.75 + t^3.88 + 4*t^4.5 + 4*t^5.25 + t^5.38 + t^5.87 + t^5.88 + t^6. - t^3.75/y - t^4.5/y - (2*t^6.)/y - t^3.75*y - t^4.5*y - 2*t^6.*y | detail | {a: 9033/8192, c: 10057/8192, X1: 3/2, M1: 1, q1: 29/72, q2: 17/18, qb1: 25/72, qb2: 29/36, phi1: 1/4} |
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 |
---|---|---|---|---|---|---|---|---|---|
47904 | SU3adj1nf2 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ | 1.1161 | 1.2318 | 0.9061 | [X:[1.5372], M:[0.9256], q:[0.4215, 0.8843], qb:[0.4215, 0.8843], phi:[0.2314]] | t^2.083 + t^2.529 + t^2.777 + 3*t^3.917 + t^4.165 + 2*t^4.612 + t^4.859 + t^5.058 + 2*t^5.306 + t^5.553 + 4*t^5.876 - 2*t^6. - t^3.694/y - t^4.388/y - t^5.777/y - t^3.694*y - t^4.388*y - t^5.777*y | detail |