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 |
---|---|---|---|---|---|---|---|---|---|
50 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6279 | 0.7568 | 0.8297 | [M:[0.7082], q:[0.823, 0.823], qb:[0.4689, 0.4689], phi:[0.3541]] | [M:[[0, -2, -2]], q:[[-1, 1, 1], [1, 0, 0]], qb:[[0, 3, 0], [0, 0, 3]], phi:[[0, -1, -1]]] | 3 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }\phi_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }q_{1}q_{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$ | ${}M_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{2}$, ${ }M_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{2}$ | 3 | 2*t^2.125 + t^2.813 + 6*t^3.875 + 3*t^4.249 + 3*t^4.938 + t^5.626 + 3*t^6. + 4*t^6.374 + 6*t^6.689 - 3*t^7.062 + 15*t^7.751 + t^8.125 + t^8.44 + 5*t^8.498 + t^8.813 - t^4.062/y - (2*t^6.187)/y + t^7.249/y + (4*t^7.938)/y - (3*t^8.311)/y - t^4.062*y - 2*t^6.187*y + t^7.249*y + 4*t^7.938*y - 3*t^8.311*y | (2*t^2.125)/(g2^2*g3^2) + g2^3*g3^3*t^2.813 + g1*g2^3*t^3.875 + (g2^5*t^3.875)/g3 + (g2^4*g3*t^3.875)/g1 + g1*g3^3*t^3.875 + (g2*g3^4*t^3.875)/g1 + (g3^5*t^3.875)/g2 + (3*t^4.249)/(g2^4*g3^4) + 3*g2*g3*t^4.938 + g2^6*g3^6*t^5.626 - 3*t^6. + (g2^3*t^6.)/g3^3 + (g1*g2*t^6.)/g3^2 + (g2^2*t^6.)/(g1*g3) + (g1*g3*t^6.)/g2^2 + (g3^2*t^6.)/(g1*g2) + (g3^3*t^6.)/g2^3 + (4*t^6.374)/(g2^6*g3^6) + g2^8*g3^2*t^6.689 + g1*g2^6*g3^3*t^6.689 + (g2^7*g3^4*t^6.689)/g1 + g1*g2^3*g3^6*t^6.689 + (g2^4*g3^7*t^6.689)/g1 + g2^2*g3^8*t^6.689 - (g1*t^7.062)/g2^3 - (g2^2*t^7.062)/g3^4 - (g1*t^7.062)/g3^3 - (g2*t^7.062)/(g1*g3^2) + (3*t^7.062)/(g2*g3) - (g3*t^7.062)/(g1*g2^2) - (g3^2*t^7.062)/g2^4 + g1^2*g2^6*t^7.751 + (g2^9*t^7.751)/g1 + (g2^10*t^7.751)/g3^2 + (g1*g2^8*t^7.751)/g3 + (g2^8*g3^2*t^7.751)/g1^2 + g1^2*g2^3*g3^3*t^7.751 + 3*g2^4*g3^4*t^7.751 + (g2^5*g3^5*t^7.751)/g1^2 + g1^2*g3^6*t^7.751 + (g1*g3^8*t^7.751)/g2 + (g2^2*g3^8*t^7.751)/g1^2 + (g3^9*t^7.751)/g1 + (g3^10*t^7.751)/g2^2 + t^8.125/(g1*g2^3) + (g2*t^8.125)/g3^5 + (g1*t^8.125)/(g2*g3^4) + t^8.125/(g1*g3^3) - (5*t^8.125)/(g2^2*g3^2) + (g1*t^8.125)/(g2^4*g3) + (g3*t^8.125)/g2^5 + g2^9*g3^9*t^8.44 + (5*t^8.498)/(g2^8*g3^8) + g2^6*t^8.813 + g1*g2^4*g3*t^8.813 + (g2^5*g3^2*t^8.813)/g1 - 5*g2^3*g3^3*t^8.813 + g1*g2*g3^4*t^8.813 + (g2^2*g3^5*t^8.813)/g1 + g3^6*t^8.813 - t^4.062/(g2*g3*y) - (2*t^6.187)/(g2^3*g3^3*y) + t^7.249/(g2^4*g3^4*y) + (4*g2*g3*t^7.938)/y - (3*t^8.311)/(g2^5*g3^5*y) - (t^4.062*y)/(g2*g3) - (2*t^6.187*y)/(g2^3*g3^3) + (t^7.249*y)/(g2^4*g3^4) + 4*g2*g3*t^7.938*y - (3*t^8.311*y)/(g2^5*g3^5) |
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 |
---|---|---|---|---|---|---|---|---|
45852 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ | 0.6485 | 0.7964 | 0.8143 | [M:[0.7044, 0.6901], q:[0.8132, 0.8346], qb:[0.4753, 0.4681], phi:[0.3522]] | t^2.07 + 2*t^2.113 + t^2.83 + t^3.844 + 2*t^3.865 + 2*t^3.908 + t^4.141 + 2*t^4.184 + 3*t^4.226 + t^4.901 + 3*t^4.943 + t^5.66 + t^5.914 + 2*t^5.936 + t^5.957 + 4*t^5.979 - 3*t^6. - t^4.057/y - t^4.057*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 |
---|---|---|---|---|---|---|---|---|---|
39 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ | 0.6076 | 0.7195 | 0.8446 | [q:[0.8211, 0.8211], qb:[0.4632, 0.4632], phi:[0.3578]] | t^2.147 + t^2.779 + 7*t^3.853 + t^4.294 + 2*t^4.926 + t^5.559 - 2*t^6. - t^4.074/y - t^4.074*y | detail |