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 |
---|---|---|---|---|---|---|---|---|---|
3862 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ \phi_1\tilde{q}_2^2$ + $ M_6q_2\tilde{q}_1$ + $ M_4X_1$ + $ M_5M_6$ + $ M_7q_1\tilde{q}_2$ | 0.7115 | 0.8814 | 0.8072 | [X:[1.2814], M:[1.01, 0.6985, 0.99, 0.7186, 1.01, 0.99, 0.7186], q:[0.495, 0.495], qb:[0.5151, 0.7864], phi:[0.4271]] | [X:[[6]], M:[[-14], [22], [14], [-6], [-14], [14], [-6]], q:[[7], [7]], qb:[[-21], [-1]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_2$, $ M_7$, $ \phi_1^2$, $ M_6$, $ M_1$, $ M_5$, $ X_1$, $ M_2^2$, $ M_2M_7$, $ \phi_1q_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_2^2$, $ M_7^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ M_2\phi_1^2$, $ M_7\phi_1^2$, $ M_2M_6$, $ M_1M_2$, $ M_2M_5$, $ M_6M_7$, $ \phi_1^4$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ M_1M_7$, $ M_5M_7$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_6\phi_1^2$, $ M_1\phi_1^2$, $ M_5\phi_1^2$ | $M_1M_6$, $ M_7X_1$ | -2 | t^2.1 + t^2.16 + t^2.56 + t^2.97 + 2*t^3.03 + t^3.84 + t^4.19 + 4*t^4.25 + 3*t^4.31 + t^4.37 + t^4.66 + t^4.72 + t^5.07 + 4*t^5.13 + 2*t^5.19 + t^5.53 + 2*t^5.59 - 2*t^6. + t^6.06 + t^6.29 + 4*t^6.35 + 5*t^6.41 + 3*t^6.47 + t^6.53 + t^6.75 + 4*t^6.81 + 2*t^6.87 + t^6.93 + t^7.16 + 5*t^7.22 + 6*t^7.28 + 4*t^7.34 + 2*t^7.4 + t^7.63 + 2*t^7.69 - t^7.81 - t^8.1 - t^8.16 + t^8.38 + 4*t^8.44 + 9*t^8.5 + 4*t^8.56 + 6*t^8.62 + 3*t^8.68 + t^8.74 + t^8.85 + 4*t^8.91 - t^8.97 - t^4.28/y - t^6.38/y - t^6.44/y - t^6.84/y + t^7.25/y + t^7.66/y + (2*t^7.72)/y + t^8.07/y + (4*t^8.13)/y + (3*t^8.19)/y - t^8.47/y + t^8.59/y - t^4.28*y - t^6.38*y - t^6.44*y - t^6.84*y + t^7.25*y + t^7.66*y + 2*t^7.72*y + t^8.07*y + 4*t^8.13*y + 3*t^8.19*y - t^8.47*y + t^8.59*y | g1^22*t^2.1 + t^2.16/g1^6 + g1^4*t^2.56 + g1^14*t^2.97 + (2*t^3.03)/g1^14 + g1^6*t^3.84 + g1^44*t^4.19 + 4*g1^16*t^4.25 + (3*t^4.31)/g1^12 + t^4.37/g1^40 + g1^26*t^4.66 + t^4.72/g1^2 + g1^36*t^5.07 + 4*g1^8*t^5.13 + (2*t^5.19)/g1^20 + g1^18*t^5.53 + (2*t^5.59)/g1^10 - 2*t^6. + t^6.06/g1^28 + g1^66*t^6.29 + 4*g1^38*t^6.35 + 5*g1^10*t^6.41 + (3*t^6.47)/g1^18 + t^6.53/g1^46 + g1^48*t^6.75 + 4*g1^20*t^6.81 + (2*t^6.87)/g1^8 + t^6.93/g1^36 + g1^58*t^7.16 + 5*g1^30*t^7.22 + 6*g1^2*t^7.28 + (4*t^7.34)/g1^26 + (2*t^7.4)/g1^54 + g1^40*t^7.63 + 2*g1^12*t^7.69 - t^7.81/g1^44 - g1^22*t^8.1 - t^8.16/g1^6 + g1^88*t^8.38 + 4*g1^60*t^8.44 + 9*g1^32*t^8.5 + 4*g1^4*t^8.56 + (6*t^8.62)/g1^24 + (3*t^8.68)/g1^52 + t^8.74/g1^80 + g1^70*t^8.85 + 4*g1^42*t^8.91 - g1^14*t^8.97 - (g1^2*t^4.28)/y - (g1^24*t^6.38)/y - t^6.44/(g1^4*y) - (g1^6*t^6.84)/y + (g1^16*t^7.25)/y + (g1^26*t^7.66)/y + (2*t^7.72)/(g1^2*y) + (g1^36*t^8.07)/y + (4*g1^8*t^8.13)/y + (3*t^8.19)/(g1^20*y) - (g1^46*t^8.47)/y + t^8.59/(g1^10*y) - g1^2*t^4.28*y - g1^24*t^6.38*y - (t^6.44*y)/g1^4 - g1^6*t^6.84*y + g1^16*t^7.25*y + g1^26*t^7.66*y + (2*t^7.72*y)/g1^2 + g1^36*t^8.07*y + 4*g1^8*t^8.13*y + (3*t^8.19*y)/g1^20 - g1^46*t^8.47*y + (t^8.59*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 |
---|---|---|---|---|---|---|---|---|
5459 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ \phi_1\tilde{q}_2^2$ + $ M_6q_2\tilde{q}_1$ + $ M_4X_1$ + $ M_5M_6$ + $ M_7q_1\tilde{q}_2$ + $ M_8\phi_1^2$ | 0.6987 | 0.8595 | 0.8129 | [X:[1.283], M:[1.0064, 0.7043, 0.9936, 0.717, 1.0064, 0.9936, 0.717, 1.1447], q:[0.4968, 0.4968], qb:[0.5096, 0.7862], phi:[0.4277]] | t^2.11 + t^2.15 + t^2.98 + 2*t^3.02 + t^3.43 + t^3.85 + t^4.23 + 4*t^4.26 + 3*t^4.3 + t^4.34 + t^5.09 + 3*t^5.13 + 2*t^5.17 + t^5.55 + t^5.59 - 2*t^6. - t^4.28/y - t^4.28*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 |
---|---|---|---|---|---|---|---|---|---|
3383 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ \phi_1\tilde{q}_2^2$ + $ M_6q_2\tilde{q}_1$ + $ M_4X_1$ + $ M_5M_6$ | 0.6914 | 0.8438 | 0.8194 | [X:[1.2806], M:[1.012, 0.6954, 0.988, 0.7194, 1.012, 0.988], q:[0.494, 0.494], qb:[0.518, 0.7866], phi:[0.4269]] | t^2.09 + t^2.56 + t^2.96 + 2*t^3.04 + 2*t^3.84 + t^4.17 + 3*t^4.24 + 2*t^4.32 + t^4.39 + t^4.65 + t^5.05 + 3*t^5.12 + t^5.53 + 2*t^5.6 + t^5.93 - 3*t^6. - t^4.28/y - t^4.28*y | detail |