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 |
---|---|---|---|---|---|---|---|---|---|
57482 | SU3adj1nf2 | ${}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{3}$ | 1.0891 | 1.1985 | 0.9087 | [X:[1.5], M:[1.25], q:[0.875, 0.375], qb:[0.875, 0.375], phi:[0.25]] | [X:[[0, 0]], M:[[0, 0]], q:[[-1, 0], [0, -1]], qb:[[1, 0], [0, 1]], phi:[[0, 0]]] | 2 | {a: 4461/4096, c: 4909/4096, X1: 3/2, M1: 5/4, q1: 7/8, q2: 3/8, qb1: 7/8, qb2: 3/8, phi1: 1/4} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}\phi_{1}^{3}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{6}$, ${ }X_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{4}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{2}^{3}$, ${ }\phi_{1}q_{1}q_{2}^{2}$ | ${}\phi_{1}^{5}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}^{2}\tilde{q}_{2}^{2}$ | 0 | t^2.25 + t^3. + 4*t^3.75 + 2*t^4.5 + 2*t^5.25 + 4*t^5.62 + 5*t^6.75 + 9*t^7.5 + 6*t^8.25 + t^8.25/y^2 - t^3.75/y - t^4.5/y - t^6./y - t^6.75/y - (4*t^7.5)/y - t^8.25/y - t^3.75*y - t^4.5*y - t^6.*y - t^6.75*y - 4*t^7.5*y - t^8.25*y + t^8.25*y^2 | t^2.25 + t^3. + 2*t^3.75 + (g1*t^3.75)/g2 + (g2*t^3.75)/g1 + 2*t^4.5 + 2*t^5.25 + t^5.62/g2^3 + t^5.62/(g1*g2^2) + g1*g2^2*t^5.62 + g2^3*t^5.62 + 3*t^6.75 + (g1*t^6.75)/g2 + (g2*t^6.75)/g1 + 5*t^7.5 + (g1^2*t^7.5)/g2^2 + (g1*t^7.5)/g2 + (g2*t^7.5)/g1 + (g2^2*t^7.5)/g1^2 + 4*t^8.25 + (g1*t^8.25)/g2 + (g2*t^8.25)/g1 + t^8.25/y^2 - t^3.75/y - t^4.5/y - t^6./y - t^6.75/y - (2*t^7.5)/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 - t^6.*y - t^6.75*y - 2*t^7.5*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 |
---|---|---|---|---|---|---|---|---|
59427 | ${}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$ | 1.0836 | 1.193 | 0.9083 | [X:[1.5], M:[1.25], q:[0.9444, 0.4028], qb:[0.8056, 0.3472], phi:[0.25]] | t^2.25 + t^3. + t^3.62 + 2*t^3.75 + t^3.88 + 2*t^4.5 + 3*t^5.25 + t^5.38 + t^5.87 + t^6. - t^3.75/y - t^4.5/y - t^6./y - t^3.75*y - t^4.5*y - t^6.*y | detail | {a: 8877/8192, c: 9773/8192, X1: 3/2, M1: 5/4, q1: 17/18, q2: 29/72, qb1: 29/36, qb2: 25/72, 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 |
---|---|---|---|---|---|---|---|---|---|
47916 | SU3adj1nf2 | ${}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ | 1.0956 | 1.1968 | 0.9155 | [X:[1.5377], M:[1.1558], q:[0.8844, 0.4221], qb:[0.8844, 0.4221], phi:[0.2312]] | t^2.08 + t^3.226 + t^3.467 + 3*t^3.92 + t^4.161 + t^4.613 + 2*t^5.307 + t^5.548 + 4*t^5.879 - 2*t^6. - t^3.693/y - t^4.387/y - t^5.774/y - t^3.693*y - t^4.387*y - t^5.774*y | detail |