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 |
---|---|---|---|---|---|---|---|---|---|
780 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$ + ${ }M_{3}M_{5}$ | 0.7232 | 0.8641 | 0.8369 | [M:[0.837, 1.163, 0.837, 0.837, 1.163], q:[0.5815, 0.5815], qb:[0.5815, 0.5815], phi:[0.4185]] | [M:[[-2], [2], [-2], [-2], [2]], q:[[1], [1]], qb:[[1], [1]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }M_{4}$, ${ }M_{2}$, ${ }M_{5}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}^{2}$ | ${}M_{1}M_{2}$, ${ }M_{1}M_{5}$, ${ }M_{4}M_{5}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ | -6 | 2*t^2.511 + 5*t^3.489 + 10*t^4.745 + 3*t^5.022 - 6*t^6. + 14*t^6.978 + 5*t^7.255 + 4*t^7.533 + 25*t^8.234 - 7*t^8.511 - t^4.255/y - (2*t^6.766)/y + (2*t^7.745)/y + t^8.022/y - t^4.255*y - 2*t^6.766*y + 2*t^7.745*y + t^8.022*y | (2*t^2.511)/g1^2 + 5*g1^2*t^3.489 + 10*g1*t^4.745 + (3*t^5.022)/g1^4 - 6*t^6. + 14*g1^4*t^6.978 + (5*t^7.255)/g1 + (4*t^7.533)/g1^6 + 25*g1^3*t^8.234 - (7*t^8.511)/g1^2 - t^4.255/(g1*y) - (2*t^6.766)/(g1^3*y) + (2*g1*t^7.745)/y + t^8.022/(g1^4*y) - (t^4.255*y)/g1 - (2*t^6.766*y)/g1^3 + 2*g1*t^7.745*y + (t^8.022*y)/g1^4 |
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 |
---|---|---|---|---|---|---|---|---|
1264 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$ + ${ }M_{3}M_{5}$ + ${ }M_{1}M_{6}$ | 0.7103 | 0.8462 | 0.8394 | [M:[0.8699, 1.1301, 0.8699, 0.8699, 1.1301, 1.1301], q:[0.5651, 0.5651], qb:[0.5651, 0.5651], phi:[0.4349]] | t^2.61 + 6*t^3.39 + 10*t^4.695 + t^5.219 - 10*t^6. - t^4.305/y - t^4.305*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 |
---|---|---|---|---|---|---|---|---|---|
491 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$ | 0.7382 | 0.8885 | 0.8308 | [M:[0.8108, 1.1892, 0.8108, 0.8108], q:[0.5946, 0.5946], qb:[0.5946, 0.5946], phi:[0.4054]] | 3*t^2.432 + 4*t^3.568 + 10*t^4.784 + 6*t^4.865 - 4*t^6. - t^4.216/y - t^4.216*y | detail |