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 |
---|---|---|---|---|---|---|---|---|---|
45968 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ | 0.5474 | 0.627 | 0.8731 | [X:[1.4551], M:[0.8174, 0.8174], q:[1.0, 0.7275], qb:[0.4551, 0.7275], phi:[0.2725]] | [X:[[2]], M:[[-3], [-3]], q:[[0], [1]], qb:[[2], [1]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }M_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}^{2}$, ${ }q_{1}q_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$ | ${}M_{2}q_{2}\tilde{q}_{1}$ | -5 | 2*t^2.452 + t^3.548 + 4*t^4.365 + 3*t^4.905 + t^5.183 - 5*t^6. + 2*t^6.817 + t^7.095 + 4*t^7.357 + 3*t^7.635 + 2*t^7.913 - 7*t^8.452 + 4*t^8.73 - t^3.817/y - (2*t^6.27)/y + (2*t^7.365)/y + t^7.905/y - (3*t^8.722)/y - t^3.817*y - 2*t^6.27*y + 2*t^7.365*y + t^7.905*y - 3*t^8.722*y | (2*t^2.452)/g1^3 + g1^3*t^3.548 + 4*g1^2*t^4.365 + (3*t^4.905)/g1^6 + g1*t^5.183 - 5*t^6. + (2*t^6.817)/g1 + g1^6*t^7.095 + (4*t^7.357)/g1^9 + (3*t^7.635)/g1^2 + 2*g1^5*t^7.913 - (7*t^8.452)/g1^3 + 4*g1^4*t^8.73 - t^3.817/(g1*y) - (2*t^6.27)/(g1^4*y) + (2*g1^2*t^7.365)/y + t^7.905/(g1^6*y) - (3*t^8.722)/(g1^7*y) - (t^3.817*y)/g1 - (2*t^6.27*y)/g1^4 + 2*g1^2*t^7.365*y + (t^7.905*y)/g1^6 - (3*t^8.722*y)/g1^7 |
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 |
---|---|---|---|---|---|---|---|---|
46248 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ | 0.5639 | 0.6561 | 0.8594 | [X:[1.4762], M:[0.7857, 0.7857, 0.7857], q:[1.0, 0.7381], qb:[0.4762, 0.7381], phi:[0.2619]] | 3*t^2.357 + 4*t^4.429 + 6*t^4.714 + t^5.214 - 7*t^6. - t^3.786/y - t^3.786*y | detail | {a: 5305/9408, c: 6173/9408, X1: 31/21, M1: 11/14, M2: 11/14, M3: 11/14, q1: 1, q2: 31/42, qb1: 10/21, qb2: 31/42, phi1: 11/42} |
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 |
---|---|---|---|---|---|---|---|---|---|
45937 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ | 0.5336 | 0.6056 | 0.881 | [X:[1.4237], M:[0.8645], q:[1.0, 0.7118], qb:[0.4237, 0.7118], phi:[0.2882]] | t^2.593 + 2*t^3.407 + 4*t^4.271 + t^5.136 + t^5.187 - 5*t^6. - t^3.864/y - t^3.864*y | detail |