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 |
---|---|---|---|---|---|---|---|---|---|
57674 | SU3adj1nf2 | ${}M_{1}\phi_{1}^{3}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }q_{1}\tilde{q}_{2}X_{2}$ | 0.9804 | 1.0983 | 0.8927 | [X:[1.4227, 1.4432], M:[1.1341], q:[0.2337, 1.0792], qb:[0.6322, 0.3231], phi:[0.2886]] | [X:[[0, -2], [0, 5]], M:[[0, -3]], q:[[-1, -5], [-1, -9]], qb:[[1, 8], [1, 0]], phi:[[0, 1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}\phi_{1}q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }X_{2}$, ${ }\phi_{1}^{3}q_{1}^{3}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{1}^{2}\tilde{q}_{2}^{2}$ | ${}\phi_{1}^{2}q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ | -1 | t^2.54 + t^2.6 + 2*t^3.4 + t^4.21 + t^4.27 + t^4.33 + 2*t^4.7 + t^5.07 + 2*t^5.13 + 2*t^5.51 + 2*t^5.94 - t^6. + t^6.74 + 3*t^6.8 + t^6.87 + 2*t^7.24 + 3*t^7.61 + 3*t^7.67 + t^7.73 + 2*t^8.04 + 2*t^8.1 - 2*t^8.16 + t^8.41 + 3*t^8.48 + t^8.66 + 4*t^8.91 - 2*t^8.97 + t^8.6/y^2 - t^3.87/y - t^4.73/y - t^6.46/y - (2*t^7.27)/y - t^8.07/y - t^8.2/y + (2*t^8.94)/y - t^3.87*y - t^4.73*y - t^6.46*y - 2*t^7.27*y - t^8.07*y - t^8.2*y + 2*t^8.94*y + t^8.6*y^2 | t^2.54/g2^4 + g2^3*t^2.6 + (2*t^3.4)/g2^3 + t^4.21/g2^9 + t^4.27/g2^2 + g2^5*t^4.33 + t^4.7/(g1^3*g2^12) + g1^3*g2^9*t^4.7 + t^5.07/g2^8 + (2*t^5.13)/g2 + t^5.51/(g1^3*g2^18) + g1^3*g2^3*t^5.51 + (2*t^5.94)/g2^7 - t^6. + t^6.74/g2^13 + (3*t^6.8)/g2^6 + g2*t^6.87 + t^7.24/(g1^3*g2^16) + g1^3*g2^5*t^7.24 + (3*t^7.61)/g2^12 + (3*t^7.67)/g2^5 + g2^2*t^7.73 + t^8.04/(g1^3*g2^22) + (g1^3*t^8.04)/g2 + t^8.1/(g1^3*g2^15) + g1^3*g2^6*t^8.1 - t^8.16/(g1^3*g2^8) - g1^3*g2^13*t^8.16 + t^8.41/g2^18 + (3*t^8.48)/g2^11 + g2^10*t^8.66 + 2*g1^3*t^8.91 + (2*t^8.91)/(g1^3*g2^21) - t^8.97/(g1^3*g2^14) - g1^3*g2^7*t^8.97 + (g2^3*t^8.6)/y^2 - (g2*t^3.87)/y - (g2^2*t^4.73)/y - (g2^4*t^6.46)/y - (2*t^7.27)/(g2^2*y) - t^8.07/(g2^8*y) - (g2^6*t^8.2)/y + (2*t^8.94)/(g2^7*y) - g2*t^3.87*y - g2^2*t^4.73*y - g2^4*t^6.46*y - (2*t^7.27*y)/g2^2 - (t^8.07*y)/g2^8 - g2^6*t^8.2*y + (2*t^8.94*y)/g2^7 + g2^3*t^8.6*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 |
---|---|---|---|---|---|---|---|---|
58582 | ${}M_{1}\phi_{1}^{3}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }q_{1}\tilde{q}_{2}X_{2}$ + ${ }M_{2}\phi_{1}^{2}q_{1}\tilde{q}_{2}$ | 0.9927 | 1.1174 | 0.8884 | [X:[1.4302, 1.4246], M:[1.1452, 0.8548], q:[0.2393, 1.0996], qb:[0.6155, 0.3361], phi:[0.2849]] | 2*t^2.56 + t^2.58 + t^3.44 + t^4.27 + t^4.29 + t^4.31 + 2*t^4.72 + 2*t^5.13 + 3*t^5.15 + t^5.16 + 2*t^5.59 - t^6. - t^3.85/y - t^4.71/y - t^3.85*y - t^4.71*y | detail | |
59525 | ${}M_{1}\phi_{1}^{3}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }q_{1}\tilde{q}_{2}X_{2}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ | 0.9382 | 1.032 | 0.9092 | [X:[1.5, 1.25], M:[1.25], q:[0.2917, 1.2917], qb:[0.4583, 0.4583], phi:[0.25]] | t^2.25 + t^3. + 3*t^3.75 + t^4.5 + 2*t^4.88 + 3*t^5.25 - t^3.75/y - t^4.5/y - t^6./y - t^3.75*y - t^4.5*y - t^6.*y | detail | {a: 3843/4096, c: 4227/4096, X1: 3/2, X2: 5/4, M1: 5/4, q1: 7/24, q2: 31/24, qb1: 11/24, qb2: 11/24, phi1: 1/4} |
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 |
---|---|---|---|---|---|---|---|---|---|
47935 | SU3adj1nf2 | ${}M_{1}\phi_{1}^{3}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ | 1.4747 | 1.6858 | 0.8748 | [M:[0.9898], q:[0.5051, 0.4847], qb:[0.5051, 0.4847], phi:[0.3367]] | t^2.02 + t^2.908 + 3*t^2.969 + t^3.031 + t^3.919 + 2*t^3.98 + 2*t^4.041 + 2*t^4.929 + 5*t^4.99 + 2*t^5.051 + 2*t^5.434 + 2*t^5.495 + t^5.817 + 3*t^5.878 + 6*t^5.939 + t^6. - t^4.01/y - t^5.02/y - t^4.01*y - t^5.02*y | detail |