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 |
---|---|---|---|---|---|---|---|---|---|
54824 | 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_6q_2\tilde{q}_1$ + $ M_1X_1$ + $ M_4M_6$ | 0.6914 | 0.8438 | 0.8194 | [X:[1.2806], M:[0.7194, 0.6954, 0.988, 1.012, 1.012, 0.988], q:[0.7866, 0.494], qb:[0.518, 0.494], phi:[0.4269]] | [X:[[6]], M:[[-6], [22], [14], [-14], [-14], [14]], q:[[-1], [7]], qb:[[-21], [7]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_2$, $ \phi_1^2$, $ M_6$, $ M_4$, $ M_5$, $ q_1\tilde{q}_2$, $ X_1$, $ M_2^2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_2\phi_1^2$, $ M_2M_6$, $ M_2M_4$, $ M_2M_5$, $ \phi_1^4$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_2$, $ M_6\phi_1^2$, $ M_4\phi_1^2$, $ M_5\phi_1^2$, $ M_6^2$, $ M_2X_1$ | $M_5M_6$ | -3 | 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^6.07 + t^6.26 + 3*t^6.33 + 2*t^6.4 + t^6.73 + 4*t^6.81 + 3*t^6.88 + t^6.95 + t^7.14 + 4*t^7.21 + 2*t^7.28 + 2*t^7.35 + 2*t^7.42 + t^7.61 + 3*t^7.68 - 2*t^7.76 - t^7.83 + t^8.01 + 2*t^8.09 + 3*t^8.16 + t^8.34 + 3*t^8.42 + 6*t^8.49 - t^8.56 + 3*t^8.63 + 2*t^8.71 + t^8.78 + t^8.82 + 4*t^8.89 - 2*t^8.96 - t^4.28/y - t^6.37/y - t^6.84/y + t^7.65/y + t^7.72/y + t^8.05/y + (2*t^8.12)/y + t^8.19/y - t^8.45/y + t^8.53/y + (2*t^8.6)/y + t^8.93/y - t^4.28*y - t^6.37*y - t^6.84*y + t^7.65*y + t^7.72*y + t^8.05*y + 2*t^8.12*y + t^8.19*y - t^8.45*y + t^8.53*y + 2*t^8.6*y + t^8.93*y | g1^22*t^2.09 + g1^4*t^2.56 + g1^14*t^2.96 + (2*t^3.04)/g1^14 + 2*g1^6*t^3.84 + g1^44*t^4.17 + 3*g1^16*t^4.24 + (2*t^4.32)/g1^12 + t^4.39/g1^40 + g1^26*t^4.65 + g1^36*t^5.05 + 3*g1^8*t^5.12 + g1^18*t^5.53 + (2*t^5.6)/g1^10 + g1^28*t^5.93 - 3*t^6. + t^6.07/g1^28 + g1^66*t^6.26 + 3*g1^38*t^6.33 + 2*g1^10*t^6.4 + g1^48*t^6.73 + 4*g1^20*t^6.81 + (3*t^6.88)/g1^8 + t^6.95/g1^36 + g1^58*t^7.14 + 4*g1^30*t^7.21 + 2*g1^2*t^7.28 + (2*t^7.35)/g1^26 + (2*t^7.42)/g1^54 + g1^40*t^7.61 + 3*g1^12*t^7.68 - (2*t^7.76)/g1^16 - t^7.83/g1^44 + g1^50*t^8.01 + 2*g1^22*t^8.09 + (3*t^8.16)/g1^6 + g1^88*t^8.34 + 3*g1^60*t^8.42 + 6*g1^32*t^8.49 - g1^4*t^8.56 + (3*t^8.63)/g1^24 + (2*t^8.71)/g1^52 + t^8.78/g1^80 + g1^70*t^8.82 + 4*g1^42*t^8.89 - 2*g1^14*t^8.96 - (g1^2*t^4.28)/y - (g1^24*t^6.37)/y - (g1^6*t^6.84)/y + (g1^26*t^7.65)/y + t^7.72/(g1^2*y) + (g1^36*t^8.05)/y + (2*g1^8*t^8.12)/y + t^8.19/(g1^20*y) - (g1^46*t^8.45)/y + (g1^18*t^8.53)/y + (2*t^8.6)/(g1^10*y) + (g1^28*t^8.93)/y - g1^2*t^4.28*y - g1^24*t^6.37*y - g1^6*t^6.84*y + g1^26*t^7.65*y + (t^7.72*y)/g1^2 + g1^36*t^8.05*y + 2*g1^8*t^8.12*y + (t^8.19*y)/g1^20 - g1^46*t^8.45*y + g1^18*t^8.53*y + (2*t^8.6*y)/g1^10 + g1^28*t^8.93*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 |
---|---|---|---|---|---|---|---|---|
56615 | $M_1q_1q_2$ + $ 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_6q_2\tilde{q}_1$ + $ M_1X_1$ + $ M_4M_6$ + $ M_6M_7$ | 0.691 | 0.8428 | 0.8199 | [X:[1.2874], M:[0.7126, 0.7205, 1.0039, 0.9961, 0.9961, 1.0039, 0.9961], q:[0.7854, 0.502], qb:[0.4941, 0.502], phi:[0.4291]] | t^2.16 + t^2.57 + 3*t^2.99 + 2*t^3.86 + t^4.25 + 2*t^4.28 + 3*t^4.3 + t^4.32 + t^4.74 + 4*t^5.15 + 3*t^5.56 + 4*t^5.98 - 5*t^6. - t^4.29/y - t^4.29*y | detail | |
56616 | $M_1q_1q_2$ + $ 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_6q_2\tilde{q}_1$ + $ M_1X_1$ + $ M_4M_6$ + $ M_7q_1\tilde{q}_2$ | 0.7115 | 0.8814 | 0.8072 | [X:[1.2814], M:[0.7186, 0.6985, 0.99, 1.01, 1.01, 0.99, 0.7186], q:[0.7864, 0.495], qb:[0.5151, 0.495], phi:[0.4271]] | 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^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 |
---|---|---|---|---|---|---|---|---|---|
47154 | 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_6q_2\tilde{q}_1$ + $ M_1X_1$ | 0.6986 | 0.8555 | 0.8166 | [X:[1.3672], M:[0.6328, 0.6867, 1.0269, 0.9731, 0.9731, 0.9045], q:[0.7925, 0.5747], qb:[0.5208, 0.4523], phi:[0.4149]] | t^2.06 + t^2.49 + t^2.71 + 2*t^2.92 + t^3.73 + t^3.96 + t^4.1 + t^4.12 + t^4.16 + t^4.33 + t^4.37 + t^4.53 + t^4.55 + t^4.69 + t^4.77 + 3*t^4.98 + t^5.2 + 2*t^5.41 + t^5.43 + t^5.63 + 2*t^5.84 - 3*t^6. - t^4.24/y - t^4.24*y | detail |