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 |
---|---|---|---|---|---|---|---|---|---|
3394 | 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_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ \phi_1q_1\tilde{q}_2$ + $ M_2\phi_1q_2^2$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_3X_1$ | 0.6565 | 0.8232 | 0.7974 | [X:[1.336], M:[0.7126, 0.8097, 0.664, 0.8583, 1.1417, 0.7126], q:[0.8825, 0.4049], qb:[0.4534, 0.7369], phi:[0.3806]] | [X:[[28]], M:[[-18], [2], [-28], [12], [-12], [-18]], q:[[17], [1]], qb:[[11], [-13]], phi:[[-4]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_1$, $ M_6$, $ \phi_1^2$, $ M_2$, $ M_4$, $ M_5$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ X_1$, $ M_1^2$, $ M_1M_6$, $ M_6^2$, $ M_1\phi_1^2$, $ M_6\phi_1^2$, $ M_1M_2$, $ M_2M_6$, $ \phi_1^4$, $ \phi_1q_2\tilde{q}_2$, $ M_1M_4$, $ M_4M_6$, $ M_2\phi_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2^2$, $ M_4\phi_1^2$, $ q_1\tilde{q}_2$, $ M_2M_4$, $ \phi_1q_1q_2$, $ M_4^2$, $ \phi_1q_1\tilde{q}_1$, $ M_1M_5$, $ M_5M_6$, $ \phi_1\tilde{q}_2^2$, $ M_5\phi_1^2$, $ M_6\phi_1q_2^2$, $ M_2M_5$, $ \phi_1^3q_2^2$, $ M_6\phi_1q_2\tilde{q}_1$ | $\phi_1^3q_2\tilde{q}_1$ | 0 | 2*t^2.14 + t^2.28 + t^2.43 + t^2.57 + t^3.43 + t^3.57 + t^3.72 + t^4.01 + 3*t^4.28 + 2*t^4.42 + 3*t^4.57 + 3*t^4.71 + 3*t^4.86 + t^5. + t^5.15 + 2*t^5.56 + 2*t^5.71 + 2*t^5.85 + 2*t^6.15 + t^6.29 + 4*t^6.41 + t^6.44 + 3*t^6.56 + t^6.58 + 5*t^6.7 + 6*t^6.85 + 6*t^7. + 4*t^7.14 + 2*t^7.29 + t^7.43 + 3*t^7.7 + t^7.72 + 3*t^7.85 + 3*t^7.99 + t^8.02 - t^8.14 + 2*t^8.28 - 2*t^8.43 + 5*t^8.55 + 4*t^8.7 + 7*t^8.84 + 2*t^8.87 + 9*t^8.99 - t^4.14/y - (2*t^6.28)/y - t^6.43/y - t^6.57/y + t^7.28/y + (2*t^7.42)/y + (2*t^7.57)/y + (4*t^7.71)/y + (2*t^7.86)/y + (3*t^8.)/y - (3*t^8.42)/y + (3*t^8.85)/y - t^4.14*y - 2*t^6.28*y - t^6.43*y - t^6.57*y + t^7.28*y + 2*t^7.42*y + 2*t^7.57*y + 4*t^7.71*y + 2*t^7.86*y + 3*t^8.*y - 3*t^8.42*y + 3*t^8.85*y | (2*t^2.14)/g1^18 + t^2.28/g1^8 + g1^2*t^2.43 + g1^12*t^2.57 + t^3.43/g1^12 + t^3.57/g1^2 + g1^8*t^3.72 + g1^28*t^4.01 + (3*t^4.28)/g1^36 + (2*t^4.42)/g1^26 + (3*t^4.57)/g1^16 + (3*t^4.71)/g1^6 + 3*g1^4*t^4.86 + g1^14*t^5. + g1^24*t^5.15 + (2*t^5.56)/g1^30 + (2*t^5.71)/g1^20 + (2*t^5.85)/g1^10 + 2*g1^10*t^6.15 + g1^20*t^6.29 + (4*t^6.41)/g1^54 + g1^30*t^6.44 + (3*t^6.56)/g1^44 + g1^40*t^6.58 + (5*t^6.7)/g1^34 + (6*t^6.85)/g1^24 + (6*t^7.)/g1^14 + (4*t^7.14)/g1^4 + 2*g1^6*t^7.29 + g1^16*t^7.43 + (3*t^7.7)/g1^48 + g1^36*t^7.72 + (3*t^7.85)/g1^38 + (3*t^7.99)/g1^28 + g1^56*t^8.02 - t^8.14/g1^18 + (2*t^8.28)/g1^8 - 2*g1^2*t^8.43 + (5*t^8.55)/g1^72 + (4*t^8.7)/g1^62 + (7*t^8.84)/g1^52 + 2*g1^32*t^8.87 + (9*t^8.99)/g1^42 - t^4.14/(g1^4*y) - (2*t^6.28)/(g1^22*y) - t^6.43/(g1^12*y) - t^6.57/(g1^2*y) + t^7.28/(g1^36*y) + (2*t^7.42)/(g1^26*y) + (2*t^7.57)/(g1^16*y) + (4*t^7.71)/(g1^6*y) + (2*g1^4*t^7.86)/y + (3*g1^14*t^8.)/y - (3*t^8.42)/(g1^40*y) + (3*t^8.85)/(g1^10*y) - (t^4.14*y)/g1^4 - (2*t^6.28*y)/g1^22 - (t^6.43*y)/g1^12 - (t^6.57*y)/g1^2 + (t^7.28*y)/g1^36 + (2*t^7.42*y)/g1^26 + (2*t^7.57*y)/g1^16 + (4*t^7.71*y)/g1^6 + 2*g1^4*t^7.86*y + 3*g1^14*t^8.*y - (3*t^8.42*y)/g1^40 + (3*t^8.85*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 |
---|---|---|---|---|---|---|---|---|
3876 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ \phi_1q_1\tilde{q}_2$ + $ M_2\phi_1q_2^2$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_3X_1$ + $ M_5M_7$ | 0.6694 | 0.8449 | 0.7923 | [X:[1.3069], M:[0.7313, 0.8076, 0.6931, 0.8458, 1.1542, 0.7313, 0.8458], q:[0.8649, 0.4038], qb:[0.442, 0.7504], phi:[0.3847]] | 2*t^2.19 + t^2.31 + t^2.42 + 2*t^2.54 + t^3.58 + t^3.69 + t^3.92 + 3*t^4.39 + 2*t^4.5 + 3*t^4.62 + 5*t^4.73 + 4*t^4.85 + 2*t^4.96 + 3*t^5.07 + t^5.77 + t^5.89 - t^6. - t^4.15/y - t^4.15*y | detail | |
3879 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ \phi_1q_1\tilde{q}_2$ + $ M_2\phi_1q_2^2$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_3X_1$ + $ M_7\phi_1q_2^2$ | 0.6724 | 0.8509 | 0.7902 | [X:[1.3318], M:[0.7153, 0.8094, 0.6682, 0.8565, 1.1435, 0.7153, 0.8094], q:[0.88, 0.4047], qb:[0.4518, 0.7388], phi:[0.3812]] | 2*t^2.15 + t^2.29 + 2*t^2.43 + t^2.57 + t^3.43 + t^3.71 + t^4. + 3*t^4.29 + 2*t^4.43 + 5*t^4.57 + 4*t^4.72 + 5*t^4.86 + 2*t^5. + t^5.14 + 2*t^5.58 + 2*t^5.86 - t^6. - t^4.14/y - t^4.14*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 |
---|---|---|---|---|---|---|---|---|---|
2841 | 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_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ \phi_1q_1\tilde{q}_2$ + $ M_2\phi_1q_2^2$ | 0.6571 | 0.8263 | 0.7953 | [X:[], M:[0.7201, 0.8089, 0.6757, 0.8533, 1.1467], q:[0.8754, 0.4044], qb:[0.4488, 0.7423], phi:[0.3822]] | t^2.03 + t^2.16 + t^2.29 + t^2.43 + t^2.56 + t^3.44 + t^3.57 + t^3.71 + t^3.84 + t^4.05 + t^4.19 + 2*t^4.32 + 2*t^4.45 + 3*t^4.59 + 2*t^4.72 + 3*t^4.85 + t^4.99 + t^5.12 + t^5.47 + 2*t^5.6 + 2*t^5.73 + 2*t^5.87 + t^6. - t^4.15/y - t^4.15*y | detail |