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 |
---|---|---|---|---|---|---|---|---|---|
59 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ | 0.5876 | 0.6839 | 0.8592 | [M:[1.274], q:[0.8185, 0.8185], qb:[0.4555, 0.4555], phi:[0.363]] | [M:[[4, 4]], q:[[1, 1], [1, 1]], qb:[[6, 0], [0, 6]], phi:[[-2, -2]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{1}q_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$ | ${}$ | -9 | t^2.733 + 8*t^3.822 + t^4.911 + t^5.466 - 9*t^6. + 8*t^6.555 - 8*t^7.089 + 28*t^7.644 + t^8.178 + t^8.199 - 9*t^8.733 - t^4.089/y - t^4.089*y | g1^6*g2^6*t^2.733 + (g1^10*t^3.822)/g2^2 + 2*g1^7*g2*t^3.822 + 2*g1^4*g2^4*t^3.822 + 2*g1*g2^7*t^3.822 + (g2^10*t^3.822)/g1^2 + g1^2*g2^2*t^4.911 + g1^12*g2^12*t^5.466 - 3*t^6. - (g1^6*t^6.)/g2^6 - (2*g1^3*t^6.)/g2^3 - (2*g2^3*t^6.)/g1^3 - (g2^6*t^6.)/g1^6 + g1^16*g2^4*t^6.555 + 2*g1^13*g2^7*t^6.555 + 2*g1^10*g2^10*t^6.555 + 2*g1^7*g2^13*t^6.555 + g1^4*g2^16*t^6.555 - (g1^4*t^7.089)/g2^8 - (2*g1*t^7.089)/g2^5 - (2*t^7.089)/(g1^2*g2^2) - (2*g2*t^7.089)/g1^5 - (g2^4*t^7.089)/g1^8 + (g1^20*t^7.644)/g2^4 + (2*g1^17*t^7.644)/g2 + 4*g1^14*g2^2*t^7.644 + 4*g1^11*g2^5*t^7.644 + 6*g1^8*g2^8*t^7.644 + 4*g1^5*g2^11*t^7.644 + 4*g1^2*g2^14*t^7.644 + (2*g2^17*t^7.644)/g1 + (g2^20*t^7.644)/g1^4 + t^8.178/(g1^4*g2^4) + g1^18*g2^18*t^8.199 - g1^12*t^8.733 - 2*g1^9*g2^3*t^8.733 - 3*g1^6*g2^6*t^8.733 - 2*g1^3*g2^9*t^8.733 - g2^12*t^8.733 - t^4.089/(g1^2*g2^2*y) - (t^4.089*y)/(g1^2*g2^2) |
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 |
---|---|---|---|---|---|---|---|---|
88 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6079 | 0.7214 | 0.8426 | [M:[1.2812, 0.6995], q:[0.8203, 0.8203], qb:[0.4705, 0.4512], phi:[0.3594]] | t^2.099 + t^2.765 + t^3.786 + 2*t^3.815 + 2*t^3.844 + 2*t^3.872 + t^4.197 + t^4.864 + t^4.922 + t^5.531 + t^5.884 + 2*t^5.913 + t^5.942 - 3*t^6. - t^4.078/y - t^4.078*y | detail | |
86 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ | 0.6077 | 0.7201 | 0.8439 | [M:[1.2833, 0.7104], q:[0.8208, 0.8208], qb:[0.4688, 0.4562], phi:[0.3583]] | t^2.131 + t^2.775 + t^3.812 + 2*t^3.831 + 2*t^3.85 + t^3.869 + t^3.888 + t^4.262 + t^4.906 + t^4.925 + t^5.55 + t^5.943 + t^5.962 - 2*t^6. - t^4.075/y - t^4.075*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 |
---|---|---|---|---|---|---|---|---|---|
43 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ | 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 |