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 |
---|---|---|---|---|---|---|---|---|---|
61213 | SU3adj1nf2 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}q_{1}^{2}q_{2}$ | 1.3163 | 1.486 | 0.8858 | [X:[1.4286], M:[0.7143], q:[0.3333, 0.7619], qb:[0.6667, 0.5238], phi:[0.2857]] | [X:[[0]], M:[[0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 129/98, c: 1165/784, X1: 10/7, M1: 5/7, q1: 1/3, q2: 16/21, qb1: 2/3, qb2: 11/21, phi1: 2/7} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }\phi_{1}^{3}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }M_{1}\phi_{1}^{3}$, ${ }M_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{6}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{3}q_{1}^{3}$, ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$ | ${}\phi_{1}^{4}q_{1}\tilde{q}_{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}\tilde{q}_{2}^{2}$ | 3 | t^2.14 + 2*t^2.57 + t^3. + t^3.43 + t^3.86 + 4*t^4.29 + 3*t^4.71 + 6*t^5.14 + 3*t^5.57 + 3*t^6. + 6*t^6.43 + 9*t^6.86 + 9*t^7.29 + 12*t^7.71 + 7*t^8.14 + 13*t^8.57 + t^8.57/y^2 - t^3.86/y - t^4.71/y - t^6./y - (2*t^6.43)/y - (2*t^6.86)/y - (2*t^7.29)/y + t^7.71/y - t^8.14/y + t^8.57/y - t^3.86*y - t^4.71*y - t^6.*y - 2*t^6.43*y - 2*t^6.86*y - 2*t^7.29*y + t^7.71*y - t^8.14*y + t^8.57*y + t^8.57*y^2 | t^2.14 + 2*t^2.57 + t^3. + t^3.43 + t^3.86 + 4*t^4.29 + 3*t^4.71 + 6*t^5.14 + 3*t^5.57 + 3*t^6. + 6*t^6.43 + 9*t^6.86 + 9*t^7.29 + 12*t^7.71 + 7*t^8.14 + 13*t^8.57 + t^8.57/y^2 - t^3.86/y - t^4.71/y - t^6./y - (2*t^6.43)/y - (2*t^6.86)/y - (2*t^7.29)/y + t^7.71/y - t^8.14/y + t^8.57/y - t^3.86*y - t^4.71*y - t^6.*y - 2*t^6.43*y - 2*t^6.86*y - 2*t^7.29*y + t^7.71*y - t^8.14*y + t^8.57*y + t^8.57*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 |
---|---|---|---|---|---|---|---|---|---|
59448 | SU3adj1nf2 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ | 1.3205 | 1.4991 | 0.8808 | [X:[1.4064], M:[0.7032], q:[0.3075, 0.7139], qb:[0.6925, 0.5054], phi:[0.2968]] | t^2.11 + t^2.44 + t^2.67 + t^3. + t^3.33 + t^3.66 + 4*t^4.22 + 2*t^4.55 + t^4.78 + 2*t^4.88 + 3*t^5.11 + t^5.34 + 3*t^5.44 + 3*t^5.77 - t^3.89/y - t^4.78/y - t^6./y - t^3.89*y - t^4.78*y - t^6.*y | detail |