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 |
---|---|---|---|---|---|---|---|---|---|
57496 | SU3adj1nf2 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ | 1.4044 | 1.591 | 0.8827 | [X:[1.3715], M:[0.7856], q:[0.3846, 0.6989], qb:[0.5155, 0.5155], phi:[0.3142]] | [X:[[0, 4]], M:[[0, -5]], q:[[-1, 7], [-1, 5]], qb:[[1, 0], [1, 0]], phi:[[0, -2]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }q_{1}^{2}\tilde{q}_{1}^{2}$, ${ }q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{6}$ | ${}$ | -4 | t^2.36 + 2*t^2.7 + t^2.83 + 3*t^3.64 + t^4.11 + 4*t^4.59 + t^4.71 + t^5.06 + t^5.18 + t^5.35 + 3*t^5.4 + 4*t^5.53 + 2*t^5.58 + t^5.66 - 4*t^6. + 3*t^6.29 + 6*t^6.34 + 4*t^6.47 + 2*t^6.53 + 2*t^6.82 - 2*t^6.94 - t^7. + t^7.07 + 2*t^7.23 + 14*t^7.29 + 5*t^7.41 + 4*t^7.47 + t^7.54 - 3*t^7.7 + 2*t^7.76 - 2*t^7.89 - 3*t^7.94 + t^8.01 + 2*t^8.05 + 4*t^8.1 + 2*t^8.18 + 19*t^8.23 + 4*t^8.28 + 2*t^8.36 + 2*t^8.41 + t^8.48 - 3*t^8.65 - 11*t^8.7 - 3*t^8.83 - 6*t^8.88 + 9*t^8.99 + t^8.83/y^2 - t^3.94/y - t^4.89/y - t^6.3/y - (2*t^6.64)/y - t^6.77/y - t^7.24/y - (3*t^7.59)/y - t^7.71/y + (2*t^8.06)/y + t^8.18/y + t^8.4/y - t^8.53/y - t^8.66/y - t^3.94*y - t^4.89*y - t^6.3*y - 2*t^6.64*y - t^6.77*y - t^7.24*y - 3*t^7.59*y - t^7.71*y + 2*t^8.06*y + t^8.18*y + t^8.4*y - t^8.53*y - t^8.66*y + t^8.83*y^2 | t^2.36/g2^5 + 2*g2^7*t^2.7 + t^2.83/g2^6 + 3*g2^5*t^3.64 + g2^4*t^4.11 + 4*g2^3*t^4.59 + t^4.71/g2^10 + g2^2*t^5.06 + t^5.18/g2^11 + (g2^17*t^5.35)/g1^3 + 3*g2^14*t^5.4 + 4*g2*t^5.53 + (2*g1^3*t^5.58)/g2^2 + t^5.66/g2^12 - 4*t^6. + (3*g2^15*t^6.29)/g1^3 + 6*g2^12*t^6.34 + (4*t^6.47)/g2 + (2*g1^3*t^6.53)/g2^4 + 2*g2^11*t^6.82 - (2*t^6.94)/g2^2 - (g1^3*t^7.)/g2^5 + t^7.07/g2^15 + (2*g2^13*t^7.23)/g1^3 + 14*g2^10*t^7.29 + (5*t^7.41)/g2^3 + (4*g1^3*t^7.47)/g2^6 + t^7.54/g2^16 - (3*g2^12*t^7.7)/g1^3 + 2*g2^9*t^7.76 - (2*t^7.89)/g2^4 - (3*g1^3*t^7.94)/g2^7 + t^8.01/g2^17 + (2*g2^24*t^8.05)/g1^3 + 4*g2^21*t^8.1 + (2*g2^11*t^8.18)/g1^3 + 19*g2^8*t^8.23 + 4*g1^3*g2^5*t^8.28 + (2*t^8.36)/g2^5 + (2*g1^3*t^8.41)/g2^8 + t^8.48/g2^18 - (3*g2^10*t^8.65)/g1^3 - 11*g2^7*t^8.7 - (3*t^8.83)/g2^6 - (6*g1^3*t^8.88)/g2^9 + (9*g2^22*t^8.99)/g1^3 + t^8.83/(g2^6*y^2) - t^3.94/(g2^2*y) - t^4.89/(g2^4*y) - t^6.3/(g2^7*y) - (2*g2^5*t^6.64)/y - t^6.77/(g2^8*y) - t^7.24/(g2^9*y) - (3*g2^3*t^7.59)/y - t^7.71/(g2^10*y) + (2*g2^2*t^8.06)/y + t^8.18/(g2^11*y) + (g2^14*t^8.4)/y - (g2*t^8.53)/y - t^8.66/(g2^12*y) - (t^3.94*y)/g2^2 - (t^4.89*y)/g2^4 - (t^6.3*y)/g2^7 - 2*g2^5*t^6.64*y - (t^6.77*y)/g2^8 - (t^7.24*y)/g2^9 - 3*g2^3*t^7.59*y - (t^7.71*y)/g2^10 + 2*g2^2*t^8.06*y + (t^8.18*y)/g2^11 + g2^14*t^8.4*y - g2*t^8.53*y - (t^8.66*y)/g2^12 + (t^8.83*y^2)/g2^6 |
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 |
---|---|---|---|---|---|---|---|---|
60500 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{3}$ | 1.3618 | 1.5777 | 0.8632 | [X:[1.2727], M:[0.9091], q:[0.2879, 0.6515], qb:[0.4394, 0.4394], phi:[0.3636]] | 2*t^2.18 + t^2.73 + 4*t^3.27 + t^3.82 + 7*t^4.36 + t^4.77 + t^4.91 + 2*t^5.05 + 11*t^5.45 + 3*t^5.86 - t^6. - t^4.09/y - t^5.18/y - t^4.09*y - t^5.18*y | detail | {a: 29001/21296, c: 33599/21296, X1: 14/11, M1: 10/11, q1: 19/66, q2: 43/66, qb1: 29/66, qb2: 29/66, phi1: 4/11} |
60140 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$ | 1.3967 | 1.5735 | 0.8876 | [X:[1.3902], M:[0.7623, 1.0672], q:[0.4029, 0.7078], qb:[0.5299, 0.5299], phi:[0.3049]] | t^2.29 + t^2.74 + t^2.8 + t^3.2 + 3*t^3.71 + t^4.17 + t^4.57 + 4*t^4.63 + t^5.03 + t^5.46 + 2*t^5.49 + 3*t^5.54 + t^5.6 + 2*t^5.68 + t^5.95 - 3*t^6. - t^3.91/y - t^4.83/y - t^3.91*y - t^4.83*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 |
---|---|---|---|---|---|---|---|---|---|
47917 | SU3adj1nf2 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ | 1.4047 | 1.592 | 0.8823 | [X:[1.371], M:[0.7758], q:[0.384, 0.6985], qb:[0.5257, 0.5047], phi:[0.3145]] | t^2.327 + t^2.666 + t^2.729 + t^2.83 + 2*t^3.61 + t^3.673 + t^4.113 + 2*t^4.553 + 2*t^4.616 + t^4.655 + t^4.994 + t^5.158 + t^5.333 + t^5.343 + t^5.396 + t^5.458 + 2*t^5.497 + t^5.549 + 2*t^5.56 + t^5.612 + t^5.661 + t^5.937 - 4*t^6. - t^3.943/y - t^4.887/y - t^3.943*y - t^4.887*y | detail |