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 |
---|---|---|---|---|---|---|---|---|---|
57721 | SU3adj1nf2 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$ | 1.0874 | 1.206 | 0.9017 | [X:[1.5172], M:[], q:[0.6955, 0.3676], qb:[1.0631, 0.4252], phi:[0.2414]] | [X:[[4]], M:[], q:[[-3], [8]], qb:[[5], [2]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}\phi_{1}^{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{6}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{4}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{2}^{3}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ | ${}\phi_{1}^{5}q_{2}\tilde{q}_{2}$ | -1 | t^2.17 + t^2.38 + t^3.1 + t^3.36 + t^3.83 + t^4.29 + t^4.35 + 2*t^4.55 + t^4.76 + t^5.02 + 2*t^5.28 + 2*t^5.48 + t^5.74 - t^6. + 2*t^6.21 + 2*t^6.47 + t^6.52 + t^6.67 + 2*t^6.72 + 3*t^6.93 - t^6.98 + t^7.14 + t^7.19 + 2*t^7.4 + t^7.45 + 4*t^7.65 + 2*t^7.86 - t^7.91 + 3*t^8.12 + t^8.38 + 4*t^8.58 - t^8.64 + t^8.69 + 4*t^8.84 - t^8.9 + t^8.17/y^2 - t^8.9/y^2 - t^3.72/y - t^4.45/y - t^5.9/y - t^6.1/y - t^6.62/y - t^6.83/y - t^7.09/y - t^8.02/y - t^8.07/y + t^8.53/y + t^8.74/y - t^8.79/y - t^3.72*y - t^4.45*y - t^5.9*y - t^6.1*y - t^6.62*y - t^6.83*y - t^7.09*y - t^8.02*y - t^8.07*y + t^8.53*y + t^8.74*y - t^8.79*y + t^8.17*y^2 - t^8.9*y^2 | t^2.17/g1^6 + g1^10*t^2.38 + g1^8*t^3.1 + t^3.36/g1 + g1^6*t^3.83 + g1^13*t^4.29 + t^4.35/g1^12 + 2*g1^4*t^4.55 + g1^20*t^4.76 + g1^11*t^5.02 + 2*g1^2*t^5.28 + 2*g1^18*t^5.48 + g1^9*t^5.74 - t^6. + 2*g1^16*t^6.21 + 2*g1^7*t^6.47 + t^6.52/g1^18 + g1^23*t^6.67 + (2*t^6.72)/g1^2 + 3*g1^14*t^6.93 - t^6.98/g1^11 + g1^30*t^7.14 + g1^5*t^7.19 + 2*g1^21*t^7.4 + t^7.45/g1^4 + 4*g1^12*t^7.65 + 2*g1^28*t^7.86 - g1^3*t^7.91 + 3*g1^19*t^8.12 + g1^10*t^8.38 + 4*g1^26*t^8.58 - g1*t^8.64 + t^8.69/g1^24 + 4*g1^17*t^8.84 - t^8.9/g1^8 + t^8.17/(g1^6*y^2) - t^8.9/(g1^8*y^2) - t^3.72/(g1^2*y) - t^4.45/(g1^4*y) - t^5.9/(g1^8*y) - (g1^8*t^6.1)/y - t^6.62/(g1^10*y) - (g1^6*t^6.83)/y - t^7.09/(g1^3*y) - (g1^11*t^8.02)/y - t^8.07/(g1^14*y) + t^8.53/(g1^7*y) + (g1^9*t^8.74)/y - t^8.79/(g1^16*y) - (t^3.72*y)/g1^2 - (t^4.45*y)/g1^4 - (t^5.9*y)/g1^8 - g1^8*t^6.1*y - (t^6.62*y)/g1^10 - g1^6*t^6.83*y - (t^7.09*y)/g1^3 - g1^11*t^8.02*y - (t^8.07*y)/g1^14 + (t^8.53*y)/g1^7 + g1^9*t^8.74*y - (t^8.79*y)/g1^16 + (t^8.17*y^2)/g1^6 - (t^8.9*y^2)/g1^8 |
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 |
---|---|---|---|---|---|---|---|---|
59426 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ | 1.0917 | 1.2095 | 0.9027 | [X:[1.529], M:[0.9419], q:[0.6866, 0.3914], qb:[1.078, 0.4312], phi:[0.2355]] | t^2.12 + t^2.47 + t^2.83 + t^3.35 + t^3.88 + t^4.24 + t^4.41 + 2*t^4.59 + t^4.94 + t^4.95 + t^5.11 + 2*t^5.29 + t^5.64 + t^5.65 + t^5.82 - t^6. - t^3.71/y - t^4.41/y - t^5.83/y - t^3.71*y - t^4.41*y - t^5.83*y | detail | |
59495 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$ + ${ }M_{1}\phi_{1}^{2}q_{2}\tilde{q}_{2}$ | 1.1074 | 1.2425 | 0.8913 | [X:[1.5198], M:[0.7202], q:[0.6935, 0.373], qb:[1.0665, 0.4266], phi:[0.2401]] | 2*t^2.16 + t^2.4 + t^3.12 + t^3.36 + 4*t^4.32 + 3*t^4.56 + t^4.8 + t^5.04 + 3*t^5.28 + 3*t^5.52 + t^5.76 - 2*t^6. - t^3.72/y - t^4.44/y - (2*t^5.88)/y - t^3.72*y - t^4.44*y - 2*t^5.88*y | detail | |
59479 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$ + ${ }q_{2}^{2}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{3}X_{2}$ | 1.0191 | 1.0816 | 0.9422 | [X:[1.6, 1.4], M:[], q:[0.6333, 0.5333], qb:[1.1667, 0.4667], phi:[0.2]] | t^3. + t^3.3 + t^3.6 + 2*t^4.2 + t^4.8 + t^5.4 + t^5.7 - t^6. - t^3.6/y - t^4.2/y - t^3.6*y - t^4.2*y | detail | {a: 3261/3200, c: 3461/3200, X1: 8/5, X2: 7/5, q1: 19/30, q2: 8/15, qb1: 7/6, qb2: 7/15, phi1: 1/5} |
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 |
---|---|---|---|---|---|---|---|---|---|
47947 | SU3adj1nf2 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{1}$ | 1.0879 | 1.2082 | 0.9004 | [X:[1.5125], q:[0.6921, 0.372], qb:[1.0641, 0.4092], phi:[0.2437]] | t^2.194 + t^2.344 + t^3.075 + t^3.304 + t^3.806 + t^4.309 + t^4.387 + 2*t^4.538 + t^4.688 + t^5.04 + 2*t^5.269 + t^5.419 + t^5.542 + t^5.648 + t^5.877 - 2*t^6. - t^3.731/y - t^4.462/y - t^5.925/y - t^3.731*y - t^4.462*y - t^5.925*y | detail |