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 |
---|---|---|---|---|---|---|---|---|---|
57312 | SU3adj1nf2 | ${}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$ + ${ }q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{3}X_{2}$ | 0.9085 | 0.9521 | 0.9542 | [X:[1.6403, 1.4605], q:[0.4342, 0.614], qb:[1.386, 0.4868], phi:[0.1798]] | [X:[[2], [3]], q:[[5], [4]], qb:[[-4], [1]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }X_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$ | ${}$ | -1 | t^2.763 + t^3.303 + t^3.842 + t^4.382 + t^4.921 + 2*t^5.526 - t^6. + t^6.066 - t^6.539 + 2*t^6.605 + 2*t^7.145 + t^7.618 + 2*t^7.684 + 2*t^8.289 - t^8.763 + 2*t^8.829 + t^7.618/y^2 - t^3.539/y - t^4.079/y - t^6.303/y - t^6.842/y - t^7.382/y - t^7.921/y - t^8.461/y - t^3.539*y - t^4.079*y - t^6.303*y - t^6.842*y - t^7.382*y - t^7.921*y - t^8.461*y + t^7.618*y^2 | g1^6*t^2.763 + g1^5*t^3.303 + g1^4*t^3.842 + g1^3*t^4.382 + g1^2*t^4.921 + 2*g1^12*t^5.526 - t^6. + g1^11*t^6.066 - t^6.539/g1 + 2*g1^10*t^6.605 + 2*g1^9*t^7.145 + t^7.618/g1^3 + 2*g1^8*t^7.684 + 2*g1^18*t^8.289 - g1^6*t^8.763 + 2*g1^17*t^8.829 + t^7.618/(g1^3*y^2) - t^3.539/(g1*y) - t^4.079/(g1^2*y) - (g1^5*t^6.303)/y - (g1^4*t^6.842)/y - (g1^3*t^7.382)/y - (g1^2*t^7.921)/y - (g1*t^8.461)/y - (t^3.539*y)/g1 - (t^4.079*y)/g1^2 - g1^5*t^6.303*y - g1^4*t^6.842*y - g1^3*t^7.382*y - g1^2*t^7.921*y - g1*t^8.461*y + (t^7.618*y^2)/g1^3 |
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 |
---|---|---|---|---|---|---|---|---|
58009 | ${}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$ + ${ }q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{3}X_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{2}$ | 0.9033 | 0.9375 | 0.9635 | [X:[1.656, 1.484], M:[1.032], q:[0.4733, 0.6453], qb:[1.3547, 0.4947], phi:[0.172]] | t^3.1 + t^3.42 + t^3.94 + t^4.45 + t^4.97 + t^5.81 - t^6. - t^3.52/y - t^4.03/y - t^3.52*y - t^4.03*y | detail | |
58010 | ${}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$ + ${ }q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{3}X_{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ | 0.9188 | 0.9653 | 0.9519 | [X:[1.6514, 1.4771], M:[0.8714], q:[0.4619, 0.6362], qb:[1.3638, 0.4924], phi:[0.1743]] | t^2.61 + t^2.86 + t^3.91 + t^4.43 + t^4.95 + t^5.23 + t^5.48 + 2*t^5.73 - t^6. - t^3.52/y - t^4.05/y - t^3.52*y - t^4.05*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 |
---|---|---|---|---|---|---|---|---|---|
47880 | SU3adj1nf2 | ${}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$ | 1.1092 | 1.2232 | 0.9068 | [X:[1.5292], q:[0.8823, 0.3918], qb:[0.8823, 0.4313], phi:[0.2354]] | t^2.118 + t^2.469 + t^3.175 + t^3.822 + t^3.882 + t^3.941 + t^4.237 + 2*t^4.588 + t^4.939 + 2*t^5.294 + 2*t^5.645 + t^5.704 + t^5.941 - t^6. - t^3.706/y - t^4.412/y - t^5.825/y - t^3.706*y - t^4.412*y - t^5.825*y | detail |