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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58921 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{5}$ + ${ }M_{7}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}M_{7}$ + ${ }M_{2}X_{1}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{1}X_{2}$ + ${ }M_{6}X_{3}$ + ${ }M_{7}M_{8}$ | 0.5625 | 0.6818 | 0.825 | [X:[1.4545, 1.5455, 1.5455], M:[0.4545, 0.5455, 1.0, 0.9091, 1.0, 0.4545, 1.0909, 0.9091], q:[0.7273, 0.8182], qb:[0.7273, 0.2727], phi:[0.3636]] | [X:[[0], [-1], [1]], M:[[1], [0], [-1], [0], [1], [-1], [0], [0]], q:[[-1], [0]], qb:[[1], [0]], phi:[[0]]] | 1 | {a: 9/16, c: 15/22, X1: 16/11, X2: 17/11, X3: 17/11, M1: 5/11, M2: 6/11, M3: 1, M4: 10/11, M5: 1, M6: 5/11, M7: 12/11, M8: 10/11, q1: 8/11, q2: 9/11, qb1: 8/11, qb2: 3/11, phi1: 4/11} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{8}$, ${ }M_{3}$, ${ }M_{5}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{8}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{8}$, ${ }M_{8}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{8}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}M_{8}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$ | ${}M_{3}^{2}$, ${ }M_{5}^{2}$ | -2 | t^2.182 + 2*t^2.727 + 2*t^3. + 2*t^4.091 + 2*t^4.364 + 2*t^4.909 + 2*t^5.182 + 5*t^5.455 + 2*t^5.727 - 2*t^6. + t^6.545 + 2*t^6.818 + 3*t^7.091 + 6*t^7.636 + 5*t^8.182 + 6*t^8.455 - 5*t^8.727 - t^4.091/y - t^6.273/y - t^6.818/y + t^7.364/y + (3*t^7.909)/y + (2*t^8.182)/y + (4*t^8.727)/y - t^4.091*y - t^6.273*y - t^6.818*y + t^7.364*y + 3*t^7.909*y + 2*t^8.182*y + 4*t^8.727*y | t^2.182 + 2*t^2.727 + t^3./g1 + g1*t^3. + t^4.091/g1 + g1*t^4.091 + 2*t^4.364 + 2*t^4.909 + t^5.182/g1 + g1*t^5.182 + 3*t^5.455 + t^5.455/g1^2 + g1^2*t^5.455 + t^5.727/g1 + g1*t^5.727 - 2*t^6. + t^6.545 + t^6.818/g1 + g1*t^6.818 + 3*t^7.091 + 2*t^7.636 + (2*t^7.636)/g1^2 + 2*g1^2*t^7.636 + t^8.182 + (2*t^8.182)/g1^2 + 2*g1^2*t^8.182 + t^8.455/g1^3 + (2*t^8.455)/g1 + 2*g1*t^8.455 + g1^3*t^8.455 - 3*t^8.727 - t^8.727/g1^2 - g1^2*t^8.727 - t^4.091/y - t^6.273/y - t^6.818/y + t^7.364/y + (3*t^7.909)/y + t^8.182/(g1*y) + (g1*t^8.182)/y + (2*t^8.727)/(g1*y) + (2*g1*t^8.727)/y - t^4.091*y - t^6.273*y - t^6.818*y + t^7.364*y + 3*t^7.909*y + (t^8.182*y)/g1 + g1*t^8.182*y + (2*t^8.727*y)/g1 + 2*g1*t^8.727*y |
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 |
---|---|---|---|---|---|---|---|---|---|
56712 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{5}$ + ${ }M_{7}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}M_{7}$ + ${ }M_{2}X_{1}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{1}X_{2}$ + ${ }M_{6}X_{3}$ | 0.5542 | 0.6678 | 0.8298 | [X:[1.4545, 1.5455, 1.5455], M:[0.4545, 0.5455, 1.0, 0.9091, 1.0, 0.4545, 1.0909], q:[0.7273, 0.8182], qb:[0.7273, 0.2727], phi:[0.3636]] | t^2.182 + t^2.727 + 2*t^3. + t^3.273 + 2*t^4.091 + 2*t^4.364 + t^4.909 + 2*t^5.182 + 4*t^5.455 - t^6. - t^4.091/y - t^4.091*y | detail | {a: 5901/10648, c: 7111/10648, X1: 16/11, X2: 17/11, X3: 17/11, M1: 5/11, M2: 6/11, M3: 1, M4: 10/11, M5: 1, M6: 5/11, M7: 12/11, q1: 8/11, q2: 9/11, qb1: 8/11, qb2: 3/11, phi1: 4/11} |