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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60150 | SU3adj1nf2 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}X_{2}$ + ${ }q_{1}\tilde{q}_{1}X_{3}$ | 1.0627 | 1.1793 | 0.9011 | [X:[1.4667, 1.3333, 1.3333], M:[0.6667], q:[0.3111, 0.9778], qb:[0.3556, 0.7556], phi:[0.2667]] | [X:[[0], [0], [0]], M:[[0]], q:[[-1], [-1]], qb:[[1], [1]], phi:[[0]]] | 1 | {a: 797/750, c: 1769/1500, X1: 22/15, X2: 4/3, X3: 4/3, M1: 2/3, q1: 14/45, q2: 44/45, qb1: 16/45, qb2: 34/45, phi1: 4/15} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}\phi_{1}^{3}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }X_{2}$, ${ }X_{3}$, ${ }X_{1}$, ${ }\phi_{1}^{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{1}^{3}$, ${ }\phi_{1}^{4}q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{1}^{3}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{3}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{3}$ | ${}\phi_{1}^{5}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | -1 | t^2.4 + t^2.8 + t^3.2 + t^3.6 + 2*t^4. + t^4.4 + t^4.8 + 4*t^5.2 + 3*t^5.6 - t^6. + 3*t^6.4 + 3*t^6.8 + 3*t^7.2 + 4*t^7.6 + 6*t^8. + 5*t^8.4 + t^8.4/y^2 - t^3.8/y - t^4.6/y - t^6.2/y - (2*t^7.)/y - t^7.4/y - (2*t^7.8)/y + t^8.2/y - t^8.6/y - t^3.8*y - t^4.6*y - t^6.2*y - 2*t^7.*y - t^7.4*y - 2*t^7.8*y + t^8.2*y - t^8.6*y + t^8.4*y^2 | t^2.4 + t^2.8 + t^3.2 + t^3.6 + 2*t^4. + t^4.4 + t^4.8 + 2*t^5.2 + t^5.2/g1^3 + g1^3*t^5.2 + t^5.6 + t^5.6/g1^3 + g1^3*t^5.6 - t^6. + 3*t^6.4 + 3*t^6.8 + 3*t^7.2 + 4*t^7.6 + 4*t^8. + t^8./g1^3 + g1^3*t^8. + 3*t^8.4 + t^8.4/g1^3 + g1^3*t^8.4 + t^8.4/y^2 - t^3.8/y - t^4.6/y - t^6.2/y - (2*t^7.)/y - t^7.4/y - (2*t^7.8)/y + t^8.2/y - t^8.6/y - t^3.8*y - t^4.6*y - t^6.2*y - 2*t^7.*y - t^7.4*y - 2*t^7.8*y + t^8.2*y - t^8.6*y + t^8.4*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 |
---|---|---|---|---|---|---|---|---|---|
57732 | SU3adj1nf2 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ | 1.4351 | 1.6621 | 0.8634 | [X:[], M:[0.8773], q:[0.3567, 0.6022], qb:[0.5205, 0.4151], phi:[0.3509]] | t^2.11 + t^2.32 + 2*t^2.63 + t^3.05 + t^3.16 + t^3.37 + t^3.68 + t^4.1 + t^4.21 + 3*t^4.42 + t^4.63 + 3*t^4.74 + 2*t^4.95 + t^5. + t^5.1 + 2*t^5.16 + 3*t^5.26 + t^5.37 + t^5.42 + 3*t^5.47 + 2*t^5.68 + t^5.74 + 3*t^5.79 - t^6. - t^4.05/y - t^5.11/y - t^4.05*y - t^5.11*y | detail |