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 |
---|---|---|---|---|---|---|---|---|---|
60551 | SU3adj1nf2 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{3}X_{2}$ | 0.7951 | 0.8445 | 0.9416 | [X:[1.6422, 1.4632], M:[0.8946], q:[0.7859, 0.2492], qb:[1.2141, 0.6773], phi:[0.1789]] | [X:[[6], [9]], M:[[-15]], q:[[-2], [7]], qb:[[2], [11]], phi:[[-3]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{2}^{3}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }X_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }M_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$ | ${}\phi_{1}^{7}q_{2}^{3}$ | -3 | t^2.68 + t^2.78 + 2*t^3.85 + t^4.39 + t^4.93 + t^5.37 + t^5.46 + t^5.56 - 3*t^6. + 2*t^6.63 + t^7.17 + 2*t^7.61 + 5*t^7.71 + t^8.05 + 2*t^8.15 + t^8.24 + t^8.34 - t^8.68 - 2*t^8.78 + t^7.61/y^2 - t^3.54/y - t^4.07/y - t^6.22/y - t^6.32/y - t^6.76/y - t^7.93/y - t^8.9/y - t^3.54*y - t^4.07*y - t^6.22*y - t^6.32*y - t^6.76*y - t^7.93*y - t^8.9*y + t^7.61*y^2 | t^2.68/g1^15 + g1^18*t^2.78 + 2*g1^12*t^3.85 + g1^9*t^4.39 + g1^6*t^4.93 + t^5.37/g1^30 + g1^3*t^5.46 + g1^36*t^5.56 - 3*t^6. + 2*g1^30*t^6.63 + g1^27*t^7.17 + (2*t^7.61)/g1^9 + 5*g1^24*t^7.71 + t^8.05/g1^45 + (2*t^8.15)/g1^12 + g1^21*t^8.24 + g1^54*t^8.34 - t^8.68/g1^15 - 2*g1^18*t^8.78 + t^7.61/(g1^9*y^2) - t^3.54/(g1^3*y) - t^4.07/(g1^6*y) - t^6.22/(g1^18*y) - (g1^15*t^6.32)/y - t^6.76/(g1^21*y) - (g1^6*t^7.93)/y - t^8.9/(g1^33*y) - (t^3.54*y)/g1^3 - (t^4.07*y)/g1^6 - (t^6.22*y)/g1^18 - g1^15*t^6.32*y - (t^6.76*y)/g1^21 - g1^6*t^7.93*y - (t^8.9*y)/g1^33 + (t^7.61*y^2)/g1^9 |
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 |
---|---|---|---|---|---|---|---|---|
61123 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{3}X_{2}$ + ${ }M_{2}\phi_{1}^{2}q_{2}\tilde{q}_{2}$ | 0.8154 | 0.8818 | 0.9247 | [X:[1.6459, 1.4689], M:[0.8852, 0.7082], q:[0.7847, 0.2536], qb:[1.2153, 0.6842], phi:[0.177]] | t^2.12 + t^2.66 + t^2.81 + t^3.88 + t^4.25 + t^4.41 + t^4.78 + 2*t^4.94 + t^5.31 + t^5.47 + t^5.63 - 2*t^6. - t^3.53/y - t^4.06/y - t^5.66/y - t^3.53*y - t^4.06*y - t^5.66*y | detail |
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 |
---|---|---|---|---|---|---|---|---|---|
57680 | SU3adj1nf2 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ | 1.4626 | 1.6624 | 0.8798 | [X:[1.3556], M:[0.6693], q:[0.5676, 0.5426], qb:[0.4908, 0.4659], phi:[0.3222]] | t^2.01 + t^2.9 + t^3.03 + 2*t^3.1 + t^3.18 + t^4.02 + 3*t^4.07 + t^4.14 + t^4.91 + t^4.96 + 3*t^5.03 + 3*t^5.11 + t^5.18 + t^5.23 + t^5.31 + t^5.8 - t^6. - t^3.97/y - t^4.93/y - t^5.97/y - t^3.97*y - t^4.93*y - t^5.97*y | detail |