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 |
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4080 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_5\phi_1q_2^2$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_1q_2$ + $ M_3M_7$ + $ M_4X_1$ + $ M_2M_8$ | 0.6881 | 0.8524 | 0.8073 | [X:[1.3242], M:[1.0209, 1.1172, 0.9518, 0.6758, 0.7448, 0.8138, 1.0482, 0.8828], q:[0.7793, 0.4069], qb:[0.5722, 0.4759], phi:[0.4414]] | [X:[[18]], M:[[32], [-12], [22], [-18], [-8], [2], [-22], [12]], q:[[-3], [1]], qb:[[-33], [11]], phi:[[6]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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$M_5$, $ M_6$, $ M_8$, $ \phi_1^2$, $ M_1$, $ M_7$, $ q_1\tilde{q}_2$, $ X_1$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_1$, $ M_5^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_5M_6$, $ \phi_1\tilde{q}_1^2$, $ M_6^2$, $ M_5M_8$, $ M_5\phi_1^2$, $ M_6M_8$, $ M_6\phi_1^2$, $ M_1M_5$, $ M_8^2$, $ M_8\phi_1^2$, $ \phi_1^4$, $ M_5M_7$, $ M_6M_7$, $ M_1M_8$, $ M_1\phi_1^2$, $ M_7M_8$, $ M_7\phi_1^2$ | . | -2 | t^2.23 + t^2.44 + 2*t^2.65 + t^3.06 + t^3.14 + t^3.77 + t^3.97 + t^4.05 + t^4.18 + t^4.26 + 2*t^4.47 + t^4.68 + t^4.76 + 3*t^4.88 + 2*t^5.09 + 4*t^5.3 + t^5.38 + t^5.59 + t^5.71 + t^5.79 - 2*t^6. + t^6.13 + t^6.21 + t^6.29 + 3*t^6.41 + t^6.5 + 2*t^6.62 + 3*t^6.7 + 2*t^6.83 + 3*t^6.91 + t^6.99 + 3*t^7.12 + 2*t^7.2 + t^7.24 + 2*t^7.32 + 2*t^7.41 + 5*t^7.53 + 3*t^7.74 + t^7.9 + 6*t^7.95 + 2*t^8.03 - t^8.23 + 3*t^8.36 - t^8.44 + 2*t^8.52 + t^8.57 - 3*t^8.65 + t^8.73 + t^8.77 + t^8.81 + t^8.86 + 3*t^8.94 - t^4.32/y - t^6.56/y - t^6.77/y - t^6.97/y + t^7.26/y - t^7.39/y + (2*t^7.68)/y + (3*t^7.88)/y + (3*t^8.09)/y + (2*t^8.3)/y + t^8.38/y + t^8.5/y + t^8.59/y + (2*t^8.71)/y + t^8.79/y - t^4.32*y - t^6.56*y - t^6.77*y - t^6.97*y + t^7.26*y - t^7.39*y + 2*t^7.68*y + 3*t^7.88*y + 3*t^8.09*y + 2*t^8.3*y + t^8.38*y + t^8.5*y + t^8.59*y + 2*t^8.71*y + t^8.79*y | t^2.23/g1^8 + g1^2*t^2.44 + 2*g1^12*t^2.65 + g1^32*t^3.06 + t^3.14/g1^22 + g1^8*t^3.77 + g1^18*t^3.97 + t^4.05/g1^36 + g1^28*t^4.18 + t^4.26/g1^26 + (2*t^4.47)/g1^16 + t^4.68/g1^6 + t^4.76/g1^60 + 3*g1^4*t^4.88 + 2*g1^14*t^5.09 + 4*g1^24*t^5.3 + t^5.38/g1^30 + t^5.59/g1^20 + g1^44*t^5.71 + t^5.79/g1^10 - 2*t^6. + g1^64*t^6.13 + g1^10*t^6.21 + t^6.29/g1^44 + 3*g1^20*t^6.41 + t^6.5/g1^34 + 2*g1^30*t^6.62 + (3*t^6.7)/g1^24 + 2*g1^40*t^6.83 + (3*t^6.91)/g1^14 + t^6.99/g1^68 + (3*t^7.12)/g1^4 + (2*t^7.2)/g1^58 + g1^60*t^7.24 + 2*g1^6*t^7.32 + (2*t^7.41)/g1^48 + 5*g1^16*t^7.53 + 3*g1^26*t^7.74 + t^7.9/g1^82 + 6*g1^36*t^7.95 + (2*t^8.03)/g1^18 - t^8.23/g1^8 + 3*g1^56*t^8.36 - g1^2*t^8.44 + (2*t^8.52)/g1^52 + g1^66*t^8.57 - 3*g1^12*t^8.65 + t^8.73/g1^42 + g1^76*t^8.77 + t^8.81/g1^96 + g1^22*t^8.86 + (3*t^8.94)/g1^32 - (g1^6*t^4.32)/y - t^6.56/(g1^2*y) - (g1^8*t^6.77)/y - (g1^18*t^6.97)/y + t^7.26/(g1^26*y) - (g1^38*t^7.39)/y + (2*t^7.68)/(g1^6*y) + (3*g1^4*t^7.88)/y + (3*g1^14*t^8.09)/y + (2*g1^24*t^8.3)/y + t^8.38/(g1^30*y) + (g1^34*t^8.5)/y + t^8.59/(g1^20*y) + (2*g1^44*t^8.71)/y + t^8.79/(g1^10*y) - g1^6*t^4.32*y - (t^6.56*y)/g1^2 - g1^8*t^6.77*y - g1^18*t^6.97*y + (t^7.26*y)/g1^26 - g1^38*t^7.39*y + (2*t^7.68*y)/g1^6 + 3*g1^4*t^7.88*y + 3*g1^14*t^8.09*y + 2*g1^24*t^8.3*y + (t^8.38*y)/g1^30 + g1^34*t^8.5*y + (t^8.59*y)/g1^20 + 2*g1^44*t^8.71*y + (t^8.79*y)/g1^10 |
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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
1691 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_5\phi_1q_2^2$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_1q_2$ + $ M_3M_7$ + $ M_4X_1$ | 0.6779 | 0.8353 | 0.8115 | [X:[1.3337], M:[1.0377, 1.1109, 0.9634, 0.6663, 0.7406, 0.8149, 1.0366], q:[0.7777, 0.4074], qb:[0.5549, 0.4817], phi:[0.4446]] | t^2.22 + t^2.44 + t^2.67 + 2*t^3.11 + t^3.33 + t^3.78 + 2*t^4. + 2*t^4.22 + 2*t^4.44 + t^4.66 + t^4.67 + 2*t^4.89 + t^5.11 + 3*t^5.33 + 2*t^5.55 + t^5.78 - t^6. - t^4.33/y - t^4.33*y | detail |