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 |
---|---|---|---|---|---|---|---|---|---|
57272 | SU3adj1nf2 | ${}\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }q_{2}^{2}\tilde{q}_{2}^{2}$ | 1.2671 | 1.3765 | 0.9205 | [X:[1.5], M:[1.25], q:[0.75, 0.5], qb:[0.75, 0.5], phi:[0.25]] | [X:[[0, 0]], M:[[0, 0]], q:[[-1, 0], [0, -1]], qb:[[1, 0], [0, 1]], phi:[[0, 0]]] | 2 | {a: 2595/2048, c: 2819/2048, X1: 3/2, M1: 5/4, q1: 3/4, q2: 1/2, qb1: 3/4, qb2: 1/2, phi1: 1/4} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}q_{2}\tilde{q}_{2}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$ | ${}\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | -2 | t^3. + 4*t^3.75 + 5*t^4.5 + t^5.25 - 2*t^6. + 3*t^6.75 + 12*t^7.5 + 14*t^8.25 + t^8.25/y^2 - t^3.75/y - t^4.5/y - t^6.75/y - (4*t^7.5)/y - (5*t^8.25)/y - t^3.75*y - t^4.5*y - t^6.75*y - 4*t^7.5*y - 5*t^8.25*y + t^8.25*y^2 | t^3. + 2*t^3.75 + (g1*t^3.75)/g2 + (g2*t^3.75)/g1 + 3*t^4.5 + (g1*t^4.5)/g2 + (g2*t^4.5)/g1 + t^5.25 - 2*t^6. + t^6./(g1*g2^2) - (g1*t^6.)/g2 - (g2*t^6.)/g1 + g1*g2^2*t^6. - t^6.75 + t^6.75/g2^3 + t^6.75/(g1*g2^2) + t^6.75/(g1^2*g2) - (g1*t^6.75)/g2 - (g2*t^6.75)/g1 + g1^2*g2*t^6.75 + g1*g2^2*t^6.75 + g2^3*t^6.75 + 6*t^7.5 + (g1^2*t^7.5)/g2^2 + (2*g1*t^7.5)/g2 + (2*g2*t^7.5)/g1 + (g2^2*t^7.5)/g1^2 + 10*t^8.25 - t^8.25/g2^3 - (2*t^8.25)/(g1*g2^2) + (g1^2*t^8.25)/g2^2 - t^8.25/(g1^2*g2) + (5*g1*t^8.25)/g2 + (5*g2*t^8.25)/g1 - g1^2*g2*t^8.25 + (g2^2*t^8.25)/g1^2 - 2*g1*g2^2*t^8.25 - g2^3*t^8.25 + t^8.25/y^2 - t^3.75/y - t^4.5/y - t^6.75/y - (2*t^7.5)/y - (g1*t^7.5)/(g2*y) - (g2*t^7.5)/(g1*y) - (3*t^8.25)/y - (g1*t^8.25)/(g2*y) - (g2*t^8.25)/(g1*y) - t^3.75*y - t^4.5*y - t^6.75*y - 2*t^7.5*y - (g1*t^7.5*y)/g2 - (g2*t^7.5*y)/g1 - 3*t^8.25*y - (g1*t^8.25*y)/g2 - (g2*t^8.25*y)/g1 + 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 |
---|---|---|---|---|---|---|---|---|
58171 | ${}\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }q_{2}^{2}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ | 1.0562 | 1.1655 | 0.9062 | [X:[1.5], M:[1.25], q:[0.4167, 0.6667], qb:[1.0833, 0.3333], phi:[0.25]] | t^2.25 + 2*t^3. + 2*t^3.75 + 3*t^4.5 + 4*t^5.25 + 4*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: 2163/2048, c: 2387/2048, X1: 3/2, M1: 5/4, q1: 5/12, q2: 2/3, qb1: 13/12, qb2: 1/3, 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 |
---|---|---|---|---|---|---|---|---|---|
47881 | SU3adj1nf2 | ${}\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}^{3}$ | 1.3224 | 1.4876 | 0.8889 | [X:[1.3809], M:[1.0713], q:[0.6904, 0.3809], qb:[0.6904, 0.3809], phi:[0.3096]] | t^2.285 + 4*t^3.214 + 5*t^4.143 + t^4.57 + t^5.071 + 2*t^5.285 + 4*t^5.499 - 5*t^6. - t^3.929/y - t^4.857/y - t^3.929*y - t^4.857*y | detail |