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 |
---|---|---|---|---|---|---|---|---|---|
55522 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3M_4$ + $ M_3M_5$ + $ \phi_1q_1^2$ + $ M_2M_6$ + $ M_5q_2\tilde{q}_1$ | 0.6933 | 0.8483 | 0.8172 | [X:[], M:[0.6702, 0.7263, 1.028, 0.972, 0.972, 1.2737], q:[0.7877, 0.542], qb:[0.486, 0.486], phi:[0.4246]] | [X:[], M:[[22], [-6], [-14], [14], [14], [6]], q:[[-1], [-21]], qb:[[7], [7]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_1$, $ \phi_1^2$, $ M_4$, $ M_5$, $ q_2\tilde{q}_1$, $ M_6$, $ q_1\tilde{q}_2$, $ M_1^2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2^2$, $ M_1\phi_1^2$, $ M_1M_4$, $ M_1M_5$, $ \phi_1^4$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ M_4\phi_1^2$, $ M_5\phi_1^2$, $ \phi_1^2q_2\tilde{q}_1$, $ M_4^2$, $ M_4M_5$, $ M_5^2$, $ M_1M_6$ | $M_4q_2\tilde{q}_1$ | -3 | t^2.01 + t^2.55 + 2*t^2.92 + t^3.08 + 2*t^3.82 + t^4.02 + 3*t^4.19 + 2*t^4.36 + t^4.53 + t^4.56 + 2*t^4.93 + 2*t^5.09 + 2*t^5.46 + t^5.63 + 3*t^5.83 - 3*t^6. + t^6.03 - t^6.17 + 3*t^6.2 + 2*t^6.37 + t^6.57 + 6*t^6.74 + t^6.91 + 2*t^6.94 + t^7.07 + 6*t^7.11 + t^7.27 + t^7.44 + 2*t^7.47 + t^7.61 + 2*t^7.64 - 2*t^7.81 + 3*t^7.84 - t^7.98 + 3*t^8.01 + t^8.04 + 3*t^8.21 + 8*t^8.38 - t^8.55 + t^8.58 + t^8.72 + 7*t^8.75 + 2*t^8.88 - 6*t^8.92 + 2*t^8.95 - t^4.27/y - t^6.28/y - t^6.82/y - t^7.19/y + t^7.36/y + t^7.56/y + t^7.73/y + (2*t^7.93)/y + t^8.09/y + t^8.26/y - t^8.3/y + (2*t^8.46)/y + t^8.63/y + (2*t^8.83)/y - t^4.27*y - t^6.28*y - t^6.82*y - t^7.19*y + t^7.36*y + t^7.56*y + t^7.73*y + 2*t^7.93*y + t^8.09*y + t^8.26*y - t^8.3*y + 2*t^8.46*y + t^8.63*y + 2*t^8.83*y | g1^22*t^2.01 + g1^4*t^2.55 + 2*g1^14*t^2.92 + t^3.08/g1^14 + 2*g1^6*t^3.82 + g1^44*t^4.02 + 3*g1^16*t^4.19 + (2*t^4.36)/g1^12 + t^4.53/g1^40 + g1^26*t^4.56 + 2*g1^36*t^4.93 + 2*g1^8*t^5.09 + 2*g1^18*t^5.46 + t^5.63/g1^10 + 3*g1^28*t^5.83 - 3*t^6. + g1^66*t^6.03 - t^6.17/g1^28 + 3*g1^38*t^6.2 + 2*g1^10*t^6.37 + g1^48*t^6.57 + 6*g1^20*t^6.74 + t^6.91/g1^8 + 2*g1^58*t^6.94 + t^7.07/g1^36 + 6*g1^30*t^7.11 + g1^2*t^7.27 + t^7.44/g1^26 + 2*g1^40*t^7.47 + t^7.61/g1^54 + 2*g1^12*t^7.64 - (2*t^7.81)/g1^16 + 3*g1^50*t^7.84 - t^7.98/g1^44 + 3*g1^22*t^8.01 + g1^88*t^8.04 + 3*g1^60*t^8.21 + 8*g1^32*t^8.38 - g1^4*t^8.55 + g1^70*t^8.58 + t^8.72/g1^24 + 7*g1^42*t^8.75 + (2*t^8.88)/g1^52 - 6*g1^14*t^8.92 + 2*g1^80*t^8.95 - (g1^2*t^4.27)/y - (g1^24*t^6.28)/y - (g1^6*t^6.82)/y - (g1^16*t^7.19)/y + t^7.36/(g1^12*y) + (g1^26*t^7.56)/y + t^7.73/(g1^2*y) + (2*g1^36*t^7.93)/y + (g1^8*t^8.09)/y + t^8.26/(g1^20*y) - (g1^46*t^8.3)/y + (2*g1^18*t^8.46)/y + t^8.63/(g1^10*y) + (2*g1^28*t^8.83)/y - g1^2*t^4.27*y - g1^24*t^6.28*y - g1^6*t^6.82*y - g1^16*t^7.19*y + (t^7.36*y)/g1^12 + g1^26*t^7.56*y + (t^7.73*y)/g1^2 + 2*g1^36*t^7.93*y + g1^8*t^8.09*y + (t^8.26*y)/g1^20 - g1^46*t^8.3*y + 2*g1^18*t^8.46*y + (t^8.63*y)/g1^10 + 2*g1^28*t^8.83*y |
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 |
---|---|---|---|---|---|---|---|---|
57109 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3M_4$ + $ M_3M_5$ + $ \phi_1q_1^2$ + $ M_2M_6$ + $ M_5q_2\tilde{q}_1$ + $ M_6M_7$ | 0.7132 | 0.8851 | 0.8057 | [X:[], M:[0.6737, 0.7253, 1.0258, 0.9742, 0.9742, 1.2747, 0.7253], q:[0.7876, 0.5387], qb:[0.4871, 0.4871], phi:[0.4249]] | t^2.02 + t^2.18 + t^2.55 + 2*t^2.92 + t^3.08 + t^3.82 + t^4.04 + 4*t^4.2 + 3*t^4.35 + t^4.51 + t^4.57 + t^4.73 + 2*t^4.94 + 4*t^5.1 + t^5.25 + 2*t^5.47 + t^5.63 + 2*t^5.85 - 2*t^6. - t^4.27/y - t^4.27*y | detail | |
57108 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3M_4$ + $ M_3M_5$ + $ \phi_1q_1^2$ + $ M_2M_6$ + $ M_5q_2\tilde{q}_1$ + $ M_7q_2\tilde{q}_1$ + $ M_1X_1$ | 0.676 | 0.8138 | 0.8307 | [X:[1.3617], M:[0.6383, 0.735, 1.0483, 0.9517, 0.9517, 1.265, 0.9517], q:[0.7892, 0.5725], qb:[0.4758, 0.4758], phi:[0.4217]] | t^2.53 + 3*t^2.86 + 2*t^3.8 + t^4.08 + 3*t^4.12 + 2*t^4.41 + t^4.7 + t^5.06 + 3*t^5.39 + 4*t^5.71 - 5*t^6. - t^4.27/y - t^4.27*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 |
---|---|---|---|---|---|---|---|---|---|
47233 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3M_4$ + $ M_3M_5$ + $ \phi_1q_1^2$ + $ M_2M_6$ | 0.6933 | 0.8484 | 0.8171 | [X:[], M:[0.6706, 0.7285, 1.029, 0.971, 0.971, 1.2715], q:[0.7876, 0.5419], qb:[0.4839, 0.4871], phi:[0.4249]] | t^2.01 + t^2.55 + 2*t^2.91 + t^3.08 + t^3.81 + t^3.82 + t^4.02 + t^4.18 + t^4.19 + t^4.2 + t^4.35 + t^4.36 + t^4.53 + t^4.56 + 2*t^4.92 + t^5.09 + t^5.1 + 2*t^5.46 + t^5.63 + 3*t^5.83 + t^5.99 - 3*t^6. - t^4.27/y - t^4.27*y | detail |