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 |
---|---|---|---|---|---|---|---|---|---|
1301 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_5q_1\tilde{q}_2$ + $ M_2M_4$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_2M_6$ + $ M_3X_1$ | 0.652 | 0.8153 | 0.7997 | [X:[1.6126], M:[0.7747, 1.1621, 0.3874, 0.8379, 0.7116, 0.8379], q:[0.4505, 0.7747], qb:[0.3874, 0.8379], phi:[0.3874]] | [X:[[1]], M:[[-2], [-3], [-1], [3], [-7], [3]], q:[[4], [-2]], qb:[[-1], [3]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_5$, $ M_1$, $ \phi_1^2$, $ M_4$, $ M_6$, $ M_2$, $ \phi_1q_1\tilde{q}_1$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1q_1^2$, $ M_5^2$, $ M_1M_5$, $ M_5\phi_1^2$, $ M_1^2$, $ M_4M_5$, $ M_5M_6$, $ M_1\phi_1^2$, $ \phi_1^4$, $ \phi_1q_2\tilde{q}_1$, $ M_1M_4$, $ M_1M_6$, $ M_4\phi_1^2$, $ M_6\phi_1^2$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ X_1$, $ M_4^2$, $ M_4M_6$, $ M_6^2$, $ \phi_1q_1\tilde{q}_2$, $ M_2M_5$, $ M_1M_2$, $ M_2\phi_1^2$, $ \phi_1q_2^2$, $ M_5\phi_1q_1\tilde{q}_1$, $ M_5\tilde{q}_1\tilde{q}_2$ | $M_5\phi_1q_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_1\tilde{q}_1\tilde{q}_2$ | 2 | t^2.13 + 2*t^2.32 + 2*t^2.51 + t^3.49 + 2*t^3.68 + t^3.87 + t^4.27 + 2*t^4.46 + 5*t^4.65 + 5*t^4.84 + 3*t^5.03 + t^5.62 + 2*t^5.81 + 2*t^6. + 4*t^6.19 + 2*t^6.38 + t^6.4 + 2*t^6.59 + 5*t^6.78 + 8*t^6.97 + 7*t^7.16 + 5*t^7.35 + 4*t^7.54 + t^7.73 + t^7.76 + 2*t^7.95 + t^8.13 + t^8.54 + 5*t^8.7 + 2*t^8.73 + 3*t^8.89 + 5*t^8.92 - t^4.16/y - t^6.3/y - (2*t^6.49)/y - t^6.68/y + (2*t^7.46)/y + (4*t^7.65)/y + (6*t^7.84)/y + (2*t^8.03)/y - t^8.43/y - t^8.62/y - t^4.16*y - t^6.3*y - 2*t^6.49*y - t^6.68*y + 2*t^7.46*y + 4*t^7.65*y + 6*t^7.84*y + 2*t^8.03*y - t^8.43*y - t^8.62*y | t^2.13/g1^7 + (2*t^2.32)/g1^2 + 2*g1^3*t^2.51 + t^3.49/g1^3 + 2*g1^2*t^3.68 + g1^7*t^3.87 + t^4.27/g1^14 + (2*t^4.46)/g1^9 + (5*t^4.65)/g1^4 + 5*g1*t^4.84 + 3*g1^6*t^5.03 + t^5.62/g1^10 + (2*t^5.81)/g1^5 + 2*t^6. + 4*g1^5*t^6.19 + 2*g1^10*t^6.38 + t^6.4/g1^21 + (2*t^6.59)/g1^16 + (5*t^6.78)/g1^11 + (8*t^6.97)/g1^6 + (7*t^7.16)/g1 + 5*g1^4*t^7.35 + 4*g1^9*t^7.54 + g1^14*t^7.73 + t^7.76/g1^17 + (2*t^7.95)/g1^12 + t^8.13/g1^7 + t^8.54/g1^28 + 5*g1^8*t^8.7 + (2*t^8.73)/g1^23 + 3*g1^13*t^8.89 + (5*t^8.92)/g1^18 - t^4.16/(g1*y) - t^6.3/(g1^8*y) - (2*t^6.49)/(g1^3*y) - (g1^2*t^6.68)/y + (2*t^7.46)/(g1^9*y) + (4*t^7.65)/(g1^4*y) + (6*g1*t^7.84)/y + (2*g1^6*t^8.03)/y - t^8.43/(g1^15*y) - t^8.62/(g1^10*y) - (t^4.16*y)/g1 - (t^6.3*y)/g1^8 - (2*t^6.49*y)/g1^3 - g1^2*t^6.68*y + (2*t^7.46*y)/g1^9 + (4*t^7.65*y)/g1^4 + 6*g1*t^7.84*y + 2*g1^6*t^8.03*y - (t^8.43*y)/g1^15 - (t^8.62*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 |
---|---|---|---|---|---|---|---|---|
2332 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_5q_1\tilde{q}_2$ + $ M_2M_4$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_2M_6$ + $ M_3X_1$ + $ M_2M_7$ | 0.6664 | 0.8401 | 0.7931 | [X:[1.6097], M:[0.7806, 1.171, 0.3903, 0.829, 0.7323, 0.829, 0.829], q:[0.4387, 0.7806], qb:[0.3903, 0.829], phi:[0.3903]] | t^2.2 + 2*t^2.34 + 3*t^2.49 + 2*t^3.66 + t^3.8 + t^4.39 + 2*t^4.54 + 6*t^4.68 + 7*t^4.83 + 6*t^4.97 - t^4.17/y - t^4.17*y | detail | |
2331 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_5q_1\tilde{q}_2$ + $ M_2M_4$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_2M_6$ + $ M_3X_1$ + $ M_5M_7$ | 0.632 | 0.7786 | 0.8118 | [X:[1.6091], M:[0.7817, 1.1726, 0.3909, 0.8274, 0.736, 0.8274, 1.264], q:[0.4366, 0.7817], qb:[0.3909, 0.8274], phi:[0.3909]] | 2*t^2.35 + 2*t^2.48 + t^3.52 + 2*t^3.65 + 2*t^3.79 + 3*t^4.69 + 5*t^4.83 + 3*t^4.96 + t^6. - t^4.17/y - t^4.17*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 |
---|---|---|---|---|---|---|---|---|---|
824 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_5q_1\tilde{q}_2$ + $ M_2M_4$ + $ M_6\phi_1\tilde{q}_1^2$ | 0.7577 | 0.9523 | 0.7957 | [X:[], M:[0.8866, 1.0, 0.7731, 1.0, 0.7731, 0.6702], q:[0.5567, 0.5567], qb:[0.4433, 0.6702], phi:[0.4433]] | t^2.01 + 2*t^2.32 + 2*t^2.66 + 2*t^3. + t^3.34 + t^4.02 + 4*t^4.33 + 3*t^4.64 + 6*t^4.67 + 4*t^4.98 + 4*t^5.01 + 6*t^5.32 + 2*t^5.35 + 2*t^5.66 - t^6. - t^4.33/y - t^4.33*y | detail |