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 |
---|---|---|---|---|---|---|---|---|---|
50905 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_2^2$ + $ M_5\phi_1q_1^2$ + $ M_5^2$ + $ M_4X_1$ + $ M_6\phi_1q_1q_2$ | 0.6217 | 0.7664 | 0.8112 | [X:[1.4074], M:[1.0926, 1.0372, 0.9074, 0.5926, 1.0, 0.6851], q:[0.2963, 0.6112], qb:[0.6665, 0.7963], phi:[0.4074]] | [X:[[2]], M:[[-2], [10], [2], [-2], [0], [-4]], q:[[-1], [3]], qb:[[-9], [-1]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_6$, $ \phi_1^2$, $ M_3$, $ M_5$, $ M_2$, $ M_1$, $ q_2\tilde{q}_1$, $ M_6^2$, $ \phi_1q_1\tilde{q}_1$, $ X_1$, $ \tilde{q}_1\tilde{q}_2$, $ M_6\phi_1^2$, $ \phi_1q_1\tilde{q}_2$, $ M_3M_6$, $ \phi_1^4$, $ \phi_1q_2^2$, $ M_5M_6$, $ \phi_1q_2\tilde{q}_1$, $ M_2M_6$, $ M_3\phi_1^2$, $ \phi_1\tilde{q}_1^2$, $ M_1M_6$, $ M_3^2$, $ M_5\phi_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_2\phi_1^2$, $ M_3M_5$, $ M_1\phi_1^2$, $ M_6q_2\tilde{q}_1$ | . | -1 | t^2.06 + t^2.44 + t^2.72 + t^3. + t^3.11 + t^3.28 + t^3.83 + 2*t^4.11 + t^4.22 + t^4.39 + t^4.5 + t^4.78 + t^4.89 + t^5.06 + 2*t^5.17 + t^5.22 + t^5.33 + 2*t^5.44 + t^5.56 + t^5.72 + t^5.89 - t^6. + t^6.17 + t^6.22 + 2*t^6.28 + t^6.44 + 2*t^6.56 + 2*t^6.83 + 2*t^6.94 - t^7.06 + 2*t^7.11 + t^7.22 + t^7.28 + 2*t^7.33 + t^7.39 + 2*t^7.5 + 2*t^7.61 + 2*t^7.67 + t^7.89 + 2*t^7.94 + 2*t^8. - 2*t^8.06 + t^8.17 + 3*t^8.22 + t^8.28 + 2*t^8.33 - t^8.44 + 2*t^8.5 + t^8.61 + t^8.67 - t^8.72 + t^8.89 - t^4.22/y - t^6.28/y - t^6.67/y + t^7.11/y - t^7.33/y + t^7.5/y + (2*t^7.78)/y + t^8.06/y + (3*t^8.17)/y + t^8.44/y + t^8.56/y + t^8.72/y + t^8.83/y + t^8.89/y - t^4.22*y - t^6.28*y - t^6.67*y + t^7.11*y - t^7.33*y + t^7.5*y + 2*t^7.78*y + t^8.06*y + 3*t^8.17*y + t^8.44*y + t^8.56*y + t^8.72*y + t^8.83*y + t^8.89*y | t^2.06/g1^4 + g1^4*t^2.44 + g1^2*t^2.72 + t^3. + g1^10*t^3.11 + t^3.28/g1^2 + t^3.83/g1^6 + (2*t^4.11)/g1^8 + g1^2*t^4.22 + t^4.39/g1^10 + t^4.5 + t^4.78/g1^2 + g1^8*t^4.89 + t^5.06/g1^4 + 2*g1^6*t^5.17 + t^5.22/g1^16 + t^5.33/g1^6 + 2*g1^4*t^5.44 + g1^14*t^5.56 + g1^2*t^5.72 + t^5.89/g1^10 - t^6. + t^6.17/g1^12 + g1^20*t^6.22 + (2*t^6.28)/g1^2 + t^6.44/g1^14 + (2*t^6.56)/g1^4 + (2*t^6.83)/g1^6 + 2*g1^4*t^6.94 - g1^14*t^7.06 + (2*t^7.11)/g1^8 + g1^2*t^7.22 + t^7.28/g1^20 + 2*g1^12*t^7.33 + t^7.39/g1^10 + 2*t^7.5 + 2*g1^10*t^7.61 + (2*t^7.67)/g1^12 + g1^8*t^7.89 + (2*t^7.94)/g1^14 + 2*g1^18*t^8. - (2*t^8.06)/g1^4 + g1^6*t^8.17 + (3*t^8.22)/g1^16 + g1^16*t^8.28 + (2*t^8.33)/g1^6 - g1^4*t^8.44 + (2*t^8.5)/g1^18 + t^8.61/g1^8 + g1^24*t^8.67 - g1^2*t^8.72 + t^8.89/g1^10 - (g1^2*t^4.22)/y - t^6.28/(g1^2*y) - (g1^6*t^6.67)/y + t^7.11/(g1^8*y) - (g1^12*t^7.33)/y + t^7.5/y + (2*t^7.78)/(g1^2*y) + t^8.06/(g1^4*y) + (3*g1^6*t^8.17)/y + (g1^4*t^8.44)/y + (g1^14*t^8.56)/y + (g1^2*t^8.72)/y + (g1^12*t^8.83)/y + t^8.89/(g1^10*y) - g1^2*t^4.22*y - (t^6.28*y)/g1^2 - g1^6*t^6.67*y + (t^7.11*y)/g1^8 - g1^12*t^7.33*y + t^7.5*y + (2*t^7.78*y)/g1^2 + (t^8.06*y)/g1^4 + 3*g1^6*t^8.17*y + g1^4*t^8.44*y + g1^14*t^8.56*y + g1^2*t^8.72*y + g1^12*t^8.83*y + (t^8.89*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 |
---|---|---|---|---|---|---|---|---|
56157 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_2^2$ + $ M_5\phi_1q_1^2$ + $ M_5^2$ + $ M_4X_1$ + $ M_6\phi_1q_1q_2$ + $ M_1M_7$ | 0.6303 | 0.7806 | 0.8075 | [X:[1.4046], M:[1.0954, 1.0229, 0.9046, 0.5954, 1.0, 0.6909, 0.9046], q:[0.2977, 0.6069], qb:[0.6794, 0.7977], phi:[0.4046]] | t^2.07 + t^2.43 + 2*t^2.71 + t^3. + t^3.07 + t^3.86 + 2*t^4.15 + t^4.21 + t^4.43 + t^4.5 + 2*t^4.79 + t^4.85 + t^5.07 + 3*t^5.14 + t^5.29 + 4*t^5.43 + t^5.5 + t^5.71 + t^5.78 + t^5.93 - 2*t^6. - t^4.21/y - t^4.21*y | detail | |
56155 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_2^2$ + $ M_5\phi_1q_1^2$ + $ M_5^2$ + $ M_4X_1$ + $ M_6\phi_1q_1q_2$ + $ M_7\phi_1^2$ | 0.6065 | 0.7407 | 0.8188 | [X:[1.4119], M:[1.0881, 1.0595, 0.9119, 0.5881, 1.0, 0.6762, 1.1762], q:[0.294, 0.6179], qb:[0.6464, 0.794], phi:[0.4119]] | t^2.03 + t^2.74 + t^3. + t^3.18 + t^3.26 + t^3.53 + t^3.79 + 2*t^4.06 + t^4.24 + t^4.32 + t^4.76 + t^5.03 + t^5.11 + t^5.21 + t^5.29 + t^5.47 + t^5.56 + t^5.82 - t^6. - t^4.24/y - t^4.24*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 |
---|---|---|---|---|---|---|---|---|---|
48277 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_2^2$ + $ M_5\phi_1q_1^2$ + $ M_5^2$ + $ M_4X_1$ | 0.601 | 0.726 | 0.8278 | [X:[1.4067], M:[1.0933, 1.0336, 0.9067, 0.5933, 1.0], q:[0.2966, 0.6101], qb:[0.6697, 0.7966], phi:[0.4067]] | t^2.44 + t^2.72 + t^3. + t^3.1 + t^3.28 + t^3.84 + t^3.94 + t^4.12 + t^4.22 + t^4.4 + t^4.88 + t^5.16 + t^5.24 + 2*t^5.44 + t^5.54 + t^5.72 - t^6. - t^4.22/y - t^4.22*y | detail |