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 |
---|---|---|---|---|---|---|---|---|---|
57490 | SU3adj1nf2 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }q_{1}^{2}\tilde{q}_{1}^{2}$ | 1.3969 | 1.5761 | 0.8863 | [X:[1.4051], M:[0.7026], q:[0.4166, 0.714], qb:[0.5834, 0.5013], phi:[0.2974]] | [X:[[0, 2]], M:[[0, 1]], q:[[-1, 7], [-1, 6]], qb:[[1, -7], [1, 0]], phi:[[0, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }\phi_{1}^{3}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }X_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{6}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | ${}$ | -3 | t^2.11 + t^2.68 + t^2.75 + t^3. + 2*t^3.65 + t^3.89 + 2*t^4.22 + 2*t^4.54 + 3*t^4.78 + t^4.86 + t^5.35 + 2*t^5.43 + t^5.51 + t^5.53 + t^5.65 + 2*t^5.68 + 2*t^5.75 + t^5.9 - 3*t^6. - t^6.25 + 4*t^6.32 + 2*t^6.4 + 3*t^6.43 + t^6.54 + t^6.57 + 4*t^6.65 + t^6.79 + 2*t^6.97 - t^7.11 - t^7.14 + t^7.19 + 3*t^7.22 + 5*t^7.29 + 2*t^7.32 + t^7.44 + 3*t^7.46 + 7*t^7.54 + t^7.62 - t^7.64 + t^7.68 + t^7.78 + 2*t^7.86 - 2*t^7.89 + t^7.93 - 2*t^8. - t^8.11 + 6*t^8.18 + 2*t^8.21 - t^8.25 + t^8.26 + t^8.29 + t^8.33 + 2*t^8.35 + t^8.4 + 12*t^8.43 + 2*t^8.51 + t^8.53 + t^8.57 + t^8.65 - 3*t^8.75 - 3*t^8.78 - 2*t^8.9 - t^8.92 + t^8.68/y^2 - t^3.89/y - t^4.78/y - t^6./y - t^6.57/y - t^6.65/y - (2*t^6.89)/y - t^7.46/y - (2*t^7.54)/y + t^7.86/y - t^8.43/y - t^8.68/y + (2*t^8.75)/y - t^3.89*y - t^4.78*y - t^6.*y - t^6.57*y - t^6.65*y - 2*t^6.89*y - t^7.46*y - 2*t^7.54*y + t^7.86*y - t^8.43*y - t^8.68*y + 2*t^8.75*y + t^8.68*y^2 | g2*t^2.11 + t^2.68/g2^3 + g2^7*t^2.75 + t^3. + 2*g2^6*t^3.65 + t^3.89/g2 + 2*g2^2*t^4.22 + 2*g2^5*t^4.54 + (3*t^4.78)/g2^2 + g2^8*t^4.86 + t^5.35/g2^6 + 2*g2^4*t^5.43 + g2^14*t^5.51 + (g2^19*t^5.53)/g1^3 + (g1^3*t^5.65)/g2^8 + (2*t^5.68)/g2^3 + 2*g2^7*t^5.75 + (g1^3*t^5.9)/g2^15 - 3*t^6. - t^6.25/g2^7 + 4*g2^3*t^6.32 + 2*g2^13*t^6.4 + (3*g2^18*t^6.43)/g1^3 + (g1^3*t^6.54)/g2^9 + t^6.57/g2^4 + 4*g2^6*t^6.65 + (g1^3*t^6.79)/g2^16 + 2*g2^9*t^6.97 - (g1^3*t^7.11)/g2^13 - t^7.14/g2^8 + (g1^3*t^7.19)/g2^3 + 3*g2^2*t^7.22 + 5*g2^12*t^7.29 + (2*g2^17*t^7.32)/g1^3 + (g1^3*t^7.44)/g2^10 + (3*t^7.46)/g2^5 + 7*g2^5*t^7.54 + g2^15*t^7.62 - (g2^20*t^7.64)/g1^3 + (g1^3*t^7.68)/g2^17 + t^7.78/g2^2 + 2*g2^8*t^7.86 - (2*g2^13*t^7.89)/g1^3 + (g1^3*t^7.93)/g2^24 - (2*g1^3*t^8.)/g2^14 - g2*t^8.11 + 6*g2^11*t^8.18 + (2*g2^16*t^8.21)/g1^3 - (g1^3*t^8.25)/g2^21 + g2^21*t^8.26 + (g2^26*t^8.29)/g1^3 + (g1^3*t^8.33)/g2^11 + (2*t^8.35)/g2^6 + (g1^3*t^8.4)/g2 + 12*g2^4*t^8.43 + 2*g2^14*t^8.51 + (g2^19*t^8.53)/g1^3 + (g1^3*t^8.57)/g2^18 + (g1^3*t^8.65)/g2^8 - 3*g2^7*t^8.75 - (3*g2^12*t^8.78)/g1^3 - (2*g1^3*t^8.9)/g2^15 - t^8.92/g2^10 + t^8.68/(g2^3*y^2) - t^3.89/(g2*y) - t^4.78/(g2^2*y) - t^6./y - t^6.57/(g2^4*y) - (g2^6*t^6.65)/y - (2*t^6.89)/(g2*y) - t^7.46/(g2^5*y) - (2*g2^5*t^7.54)/y + (g2^8*t^7.86)/y - (g2^4*t^8.43)/y - t^8.68/(g2^3*y) + (2*g2^7*t^8.75)/y - (t^3.89*y)/g2 - (t^4.78*y)/g2^2 - t^6.*y - (t^6.57*y)/g2^4 - g2^6*t^6.65*y - (2*t^6.89*y)/g2 - (t^7.46*y)/g2^5 - 2*g2^5*t^7.54*y + g2^8*t^7.86*y - g2^4*t^8.43*y - (t^8.68*y)/g2^3 + 2*g2^7*t^8.75*y + (t^8.68*y^2)/g2^3 |
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 |
---|---|---|---|---|---|---|---|---|
60057 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$ | 1.3916 | 1.5629 | 0.8904 | [X:[1.4196], M:[0.7098, 1.0313], q:[0.4316, 0.7218], qb:[0.5684, 0.5371], phi:[0.2902]] | t^2.13 + t^2.61 + t^3. + t^3.09 + 2*t^3.78 + t^3.87 + 2*t^4.26 + 2*t^4.65 + 3*t^4.74 + 2*t^5.22 + t^5.52 + 2*t^5.61 + t^5.63 + t^5.71 + t^5.8 + t^5.89 + t^5.91 - 3*t^6. - t^3.87/y - t^4.74/y - t^6./y - t^3.87*y - t^4.74*y - t^6.*y | detail | |
59356 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ | 1.4174 | 1.6153 | 0.8775 | [X:[1.4047], M:[0.7024, 0.7024], q:[0.4161, 0.7138], qb:[0.5839, 0.5003], phi:[0.2976]] | 2*t^2.11 + t^2.68 + t^2.75 + t^3. + 2*t^3.64 + 4*t^4.21 + 2*t^4.54 + 4*t^4.79 + 2*t^4.86 + t^5.11 + t^5.36 + 2*t^5.43 + t^5.5 + t^5.53 + t^5.65 + 2*t^5.68 + 4*t^5.75 + t^5.9 - 4*t^6. - t^3.89/y - t^4.79/y - (2*t^6.)/y - t^3.89*y - t^4.79*y - 2*t^6.*y | detail | |
59046 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | 1.3924 | 1.5668 | 0.8887 | [X:[1.4169], M:[0.7084], q:[0.4032, 0.6948], qb:[0.5968, 0.5558], phi:[0.2916]] | t^2.13 + t^2.62 + t^2.88 + t^3. + 2*t^3.75 + t^3.87 + 2*t^4.25 + 2*t^4.63 + 3*t^4.75 + t^5. + t^5.25 + t^5.38 + 2*t^5.5 + 2*t^5.62 + t^5.75 + 2*t^5.88 - 2*t^6. - t^3.87/y - t^4.75/y - t^6./y - t^3.87*y - t^4.75*y - t^6.*y | detail | |
59453 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | 1.3963 | 1.5756 | 0.8862 | [X:[1.4049], M:[0.7024], q:[0.4049, 0.7024], qb:[0.5951, 0.5122], phi:[0.2976]] | t^2.11 + t^2.68 + t^2.75 + t^3. + 2*t^3.64 + t^3.89 + 2*t^4.21 + 2*t^4.54 + 3*t^4.79 + t^4.86 + t^5.36 + 3*t^5.43 + t^5.5 + 2*t^5.68 + 3*t^5.75 - 2*t^6. - t^3.89/y - t^4.79/y - t^6./y - t^3.89*y - t^4.79*y - t^6.*y | detail | |
59425 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{3}X_{2}$ | 0.8812 | 0.8991 | 0.9801 | [X:[1.7143, 1.5714], M:[0.8571], q:[0.4286, 0.5714], qb:[0.5714, 1.5714], phi:[0.1429]] | t^2.57 + t^3.86 + t^4.29 + t^4.71 + 2*t^5.14 - 2*t^6. - t^3.43/y - t^3.86/y - t^6./y - t^3.43*y - t^3.86*y - t^6.*y | detail | {a: 1209/1372, c: 2467/2744, X1: 12/7, X2: 11/7, M1: 6/7, q1: 3/7, q2: 4/7, qb1: 4/7, qb2: 11/7, phi1: 1/7} |
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 |