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 |
|---|---|---|---|---|---|---|---|---|---|
| 3419 | 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_3\phi_1^2$ + $ M_3M_5$ + $ \phi_1q_2\tilde{q}_2$ + $ M_4X_1$ + $ M_6q_2\tilde{q}_1$ + $ M_7\phi_1q_1\tilde{q}_1$ | 0.6642 | 0.8417 | 0.7891 | [X:[1.6], M:[0.7866, 0.8134, 1.2, 0.4, 0.8, 0.7599, 0.8], q:[0.3866, 0.8267], qb:[0.4134, 0.7733], phi:[0.4]] | [X:[[0, 0]], M:[[1, 1], [-1, -1], [0, 0], [0, 0], [0, 0], [-1, 1], [0, 0]], q:[[-1, 0], [0, -1]], qb:[[1, 0], [0, 1]], phi:[[0, 0]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_1$, $ M_5$, $ M_7$, $ \phi_1^2$, $ M_2$, $ q_1\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1\tilde{q}_1^2$, $ M_6^2$, $ M_1M_6$, $ M_5M_6$, $ M_6M_7$, $ M_6\phi_1^2$, $ \phi_1q_1\tilde{q}_2$, $ M_2M_6$, $ M_1^2$, $ M_1M_5$, $ M_1M_7$, $ M_1\phi_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1M_2$, $ M_5^2$, $ M_5M_7$, $ M_7^2$, $ M_5\phi_1^2$, $ M_7\phi_1^2$, $ \phi_1^4$, $ X_1$, $ M_2M_5$, $ M_2M_7$, $ M_2\phi_1^2$, $ \phi_1q_1q_2$, $ M_2^2$, $ M_6q_1\tilde{q}_2$, $ M_6\phi_1q_1^2$, $ \phi_1\tilde{q}_2^2$, $ M_5q_1\tilde{q}_2$, $ M_7q_1\tilde{q}_2$, $ \phi_1^2q_1\tilde{q}_2$, $ M_5\phi_1q_1^2$, $ M_7\phi_1q_1^2$, $ \phi_1^3q_1^2$, $ M_2\phi_1q_1^2$ | . | -3 | t^2.28 + t^2.36 + 3*t^2.4 + t^2.44 + t^3.48 + t^3.52 + t^3.68 + t^4.56 + t^4.64 + 3*t^4.68 + 2*t^4.72 + 3*t^4.76 + 8*t^4.8 + 3*t^4.84 + t^4.88 + t^5.76 + t^5.8 + t^5.84 + 3*t^5.88 + 3*t^5.92 + t^5.96 - 3*t^6. + 2*t^6.08 + t^6.84 + t^6.92 + 4*t^6.96 + 3*t^7. + 4*t^7.04 + 7*t^7.08 + 4*t^7.12 + 8*t^7.16 + 12*t^7.2 + 6*t^7.24 + t^7.28 - t^7.32 + t^7.36 + t^8.04 + t^8.08 + t^8.12 + 3*t^8.16 + 4*t^8.2 + 4*t^8.24 + 3*t^8.28 + 5*t^8.32 - 2*t^8.36 - 10*t^8.4 - 5*t^8.44 + 2*t^8.48 - 2*t^8.52 - t^4.2/y - t^6.48/y - t^6.56/y - (2*t^6.6)/y - t^6.64/y + t^7.64/y + (3*t^7.68)/y + t^7.72/y + (4*t^7.76)/y + (6*t^7.8)/y + (4*t^7.84)/y + t^7.92/y + t^8.8/y + (2*t^8.88)/y + (2*t^8.92)/y - t^4.2*y - t^6.48*y - t^6.56*y - 2*t^6.6*y - t^6.64*y + t^7.64*y + 3*t^7.68*y + t^7.72*y + 4*t^7.76*y + 6*t^7.8*y + 4*t^7.84*y + t^7.92*y + t^8.8*y + 2*t^8.88*y + 2*t^8.92*y | (g2*t^2.28)/g1 + g1*g2*t^2.36 + 3*t^2.4 + t^2.44/(g1*g2) + (g2*t^3.48)/g1 + t^3.52/g1^2 + g1^2*t^3.68 + (g2^2*t^4.56)/g1^2 + g2^2*t^4.64 + (3*g2*t^4.68)/g1 + t^4.72/g1^2 + g1^2*g2^2*t^4.72 + 3*g1*g2*t^4.76 + 8*t^4.8 + (3*t^4.84)/(g1*g2) + t^4.88/(g1^2*g2^2) + (g2^2*t^5.76)/g1^2 + (g2*t^5.8)/g1^3 + g2^2*t^5.84 + (3*g2*t^5.88)/g1 + (3*t^5.92)/g1^2 + t^5.96/(g1^3*g2) - 3*t^6. - t^6.04/(g1*g2) + g1^3*g2*t^6.04 + 2*g1^2*t^6.08 + (g2^3*t^6.84)/g1^3 + (g2^3*t^6.92)/g1 + (4*g2^2*t^6.96)/g1^2 + (2*g2*t^7.)/g1^3 + g1*g2^3*t^7. + t^7.04/g1^4 + 3*g2^2*t^7.04 + (6*g2*t^7.08)/g1 + g1^3*g2^3*t^7.08 + t^7.12/g1^2 + 3*g1^2*g2^2*t^7.12 + t^7.16/(g1^3*g2) + 7*g1*g2*t^7.16 + 12*t^7.2 + (6*t^7.24)/(g1*g2) - 2*g1^2*t^7.28 + (3*t^7.28)/(g1^2*g2^2) + t^7.32/(g1^3*g2^3) - (2*g1*t^7.32)/g2 + g1^4*t^7.36 + (g2^3*t^8.04)/g1^3 + (g2^2*t^8.08)/g1^4 + (g2^3*t^8.12)/g1 + (3*g2^2*t^8.16)/g1^2 + (3*g2*t^8.2)/g1^3 + g1*g2^3*t^8.2 + t^8.24/g1^4 + 3*g2^2*t^8.24 + (3*g2*t^8.28)/g1 + (5*t^8.32)/g1^2 + (3*t^8.36)/(g1^3*g2) - 5*g1*g2*t^8.36 - 12*t^8.4 + t^8.4/(g1^4*g2^2) + g1^4*g2^2*t^8.4 - (7*t^8.44)/(g1*g2) + 2*g1^3*g2*t^8.44 + 3*g1^2*t^8.48 - t^8.48/(g1^2*g2^2) - (2*g1*t^8.52)/g2 - t^4.2/y - (g2*t^6.48)/(g1*y) - (g1*g2*t^6.56)/y - (2*t^6.6)/y - t^6.64/(g1*g2*y) + (g2^2*t^7.64)/y + (3*g2*t^7.68)/(g1*y) + t^7.72/(g1^2*y) + (4*g1*g2*t^7.76)/y + (6*t^7.8)/y + (4*t^7.84)/(g1*g2*y) + (g1*t^7.92)/(g2*y) + (g2*t^8.8)/(g1^3*y) + (2*g2*t^8.88)/(g1*y) + (3*t^8.92)/(g1^2*y) - (g1^2*g2^2*t^8.92)/y + t^8.96/(g1^3*g2*y) - (g1*g2*t^8.96)/y - t^4.2*y - (g2*t^6.48*y)/g1 - g1*g2*t^6.56*y - 2*t^6.6*y - (t^6.64*y)/(g1*g2) + g2^2*t^7.64*y + (3*g2*t^7.68*y)/g1 + (t^7.72*y)/g1^2 + 4*g1*g2*t^7.76*y + 6*t^7.8*y + (4*t^7.84*y)/(g1*g2) + (g1*t^7.92*y)/g2 + (g2*t^8.8*y)/g1^3 + (2*g2*t^8.88*y)/g1 + (3*t^8.92*y)/g1^2 - g1^2*g2^2*t^8.92*y + (t^8.96*y)/(g1^3*g2) - g1*g2*t^8.96*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 |
|---|---|---|---|---|---|---|---|---|
| 3909 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_3\phi_1^2$ + $ M_3M_5$ + $ \phi_1q_2\tilde{q}_2$ + $ M_4X_1$ + $ M_6q_2\tilde{q}_1$ + $ M_7\phi_1q_1\tilde{q}_1$ + $ M_6\phi_1q_1^2$ | 0.6633 | 0.8388 | 0.7907 | [X:[1.6], M:[0.7831, 0.8169, 1.2, 0.4, 0.8, 0.7915, 0.8], q:[0.4042, 0.8127], qb:[0.3958, 0.7873], phi:[0.4]] | t^2.35 + t^2.37 + 3*t^2.4 + t^2.45 + 2*t^3.57 + t^3.63 + t^4.7 + t^4.72 + 4*t^4.75 + 3*t^4.77 + 8*t^4.8 + t^4.83 + 3*t^4.85 + t^4.9 + 2*t^5.92 + t^5.95 + 5*t^5.97 - 2*t^6. - t^4.2/y - t^4.2*y | detail | |
| 3910 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_3\phi_1^2$ + $ M_3M_5$ + $ \phi_1q_2\tilde{q}_2$ + $ M_4X_1$ + $ M_6q_2\tilde{q}_1$ + $ M_7\phi_1q_1\tilde{q}_1$ + $ M_8\phi_1\tilde{q}_1^2$ | 0.6829 | 0.8775 | 0.7783 | [X:[1.6], M:[0.8, 0.8, 1.2, 0.4, 0.8, 0.7434, 0.8, 0.7434], q:[0.3717, 0.8283], qb:[0.4283, 0.7717], phi:[0.4]] | 2*t^2.23 + 5*t^2.4 + 2*t^3.43 + 3*t^4.46 + 10*t^4.63 + 16*t^4.8 + 4*t^5.66 + 8*t^5.83 - 5*t^6. - t^4.2/y - t^4.2*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 |
|---|
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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 2854 | 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_3\phi_1^2$ + $ M_3M_5$ + $ \phi_1q_2\tilde{q}_2$ + $ M_4X_1$ + $ M_6q_2\tilde{q}_1$ | 0.6477 | 0.8127 | 0.797 | [X:[1.6], M:[0.7866, 0.8134, 1.2, 0.4, 0.8, 0.7599], q:[0.3866, 0.8267], qb:[0.4134, 0.7733], phi:[0.4]] | t^2.28 + t^2.36 + 2*t^2.4 + t^2.44 + t^3.48 + t^3.52 + t^3.6 + t^3.68 + t^4.56 + t^4.64 + 2*t^4.68 + 2*t^4.72 + 2*t^4.76 + 5*t^4.8 + 2*t^4.84 + t^4.88 + t^5.76 + t^5.8 + t^5.84 + 3*t^5.88 + 2*t^5.92 + 2*t^5.96 - t^6. - t^4.2/y - t^4.2*y | detail |