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 |
|---|---|---|---|---|---|---|---|---|---|
| 3418 | 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_1^2$ | 0.664 | 0.841 | 0.7895 | [X:[1.6], M:[0.7678, 0.8322, 1.2, 0.4, 0.8, 0.7839, 0.7839], q:[0.4081, 0.8242], qb:[0.3919, 0.7758], phi:[0.4]] | [X:[[0, 0]], M:[[1, 1], [-1, -1], [0, 0], [0, 0], [0, 0], [-1, 1], [2, 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 |
|---|---|---|---|---|
| $M_1$, $ M_7$, $ M_6$, $ M_5$, $ \phi_1^2$, $ M_2$, $ \phi_1\tilde{q}_1^2$, $ q_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ M_1^2$, $ M_1M_7$, $ M_1M_6$, $ M_7^2$, $ M_1M_5$, $ M_6M_7$, $ M_1\phi_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_6^2$, $ M_5M_7$, $ M_7\phi_1^2$, $ M_5M_6$, $ M_6\phi_1^2$, $ \phi_1q_1\tilde{q}_2$, $ M_1M_2$, $ M_5^2$, $ M_5\phi_1^2$, $ \phi_1^4$, $ X_1$, $ M_2M_6$, $ M_2M_7$, $ \phi_1q_2\tilde{q}_1$, $ M_2M_5$, $ M_2\phi_1^2$, $ \phi_1q_1q_2$, $ M_2^2$, $ M_1\phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_2^2$, $ M_7\phi_1\tilde{q}_1^2$, $ M_6\phi_1\tilde{q}_1^2$, $ M_7q_1\tilde{q}_2$, $ M_6q_1\tilde{q}_2$, $ M_7\phi_1q_1\tilde{q}_1$, $ M_5\phi_1\tilde{q}_1^2$, $ \phi_1^3\tilde{q}_1^2$, $ M_6\phi_1q_1\tilde{q}_1$, $ M_5q_1\tilde{q}_2$, $ \phi_1^2q_1\tilde{q}_2$ | $M_5\phi_1q_1\tilde{q}_1$, $ \phi_1^3q_1\tilde{q}_1$ | -1 | t^2.3 + 2*t^2.35 + 2*t^2.4 + t^2.5 + 2*t^3.55 + t^3.6 + t^4.61 + 2*t^4.66 + 5*t^4.7 + 4*t^4.75 + 5*t^4.8 + 2*t^4.85 + 2*t^4.9 + t^4.99 + 2*t^5.86 + 4*t^5.9 + 4*t^5.95 - t^6. + t^6.91 + 2*t^6.96 + 5*t^7.01 + 8*t^7.06 + 12*t^7.1 + 8*t^7.15 + 7*t^7.2 + 3*t^7.3 + 2*t^7.34 + 2*t^7.39 + t^7.49 + 2*t^8.16 + 4*t^8.21 + 8*t^8.26 + 3*t^8.3 - 4*t^8.4 - 4*t^8.45 - 4*t^8.5 - t^4.2/y - t^6.5/y - (2*t^6.55)/y - t^6.6/y - t^6.7/y + (2*t^7.66)/y + (4*t^7.7)/y + (4*t^7.75)/y + (3*t^7.8)/y + (4*t^7.85)/y + (3*t^7.9)/y - t^8.81/y + t^8.9/y + (4*t^8.95)/y - t^4.2*y - t^6.5*y - 2*t^6.55*y - t^6.6*y - t^6.7*y + 2*t^7.66*y + 4*t^7.7*y + 4*t^7.75*y + 3*t^7.8*y + 4*t^7.85*y + 3*t^7.9*y - t^8.81*y + t^8.9*y + 4*t^8.95*y | g1*g2*t^2.3 + g1^2*t^2.35 + (g2*t^2.35)/g1 + 2*t^2.4 + t^2.5/(g1*g2) + g1^2*t^3.55 + (g2*t^3.55)/g1 + t^3.6 + g1^2*g2^2*t^4.61 + g1^3*g2*t^4.66 + g2^2*t^4.66 + g1^4*t^4.7 + 3*g1*g2*t^4.7 + (g2^2*t^4.7)/g1^2 + 2*g1^2*t^4.75 + (2*g2*t^4.75)/g1 + 5*t^4.8 + t^4.85/g1^2 + (g1*t^4.85)/g2 + (2*t^4.9)/(g1*g2) + t^4.99/(g1^2*g2^2) + g1^3*g2*t^5.86 + g2^2*t^5.86 + g1^4*t^5.9 + 2*g1*g2*t^5.9 + (g2^2*t^5.9)/g1^2 + 2*g1^2*t^5.95 + (2*g2*t^5.95)/g1 - t^6. + g1^3*g2^3*t^6.91 + g1^4*g2^2*t^6.96 + g1*g2^3*t^6.96 + g1^5*g2*t^7.01 + 3*g1^2*g2^2*t^7.01 + (g2^3*t^7.01)/g1 + g1^6*t^7.06 + 3*g1^3*g2*t^7.06 + 3*g2^2*t^7.06 + (g2^3*t^7.06)/g1^3 + 3*g1^4*t^7.1 + 6*g1*g2*t^7.1 + (3*g2^2*t^7.1)/g1^2 + 4*g1^2*t^7.15 + (4*g2*t^7.15)/g1 + 5*t^7.2 + (g1^3*t^7.2)/g2 + (g2*t^7.2)/g1^3 + (3*t^7.3)/(g1*g2) + t^7.34/g2^2 + t^7.34/(g1^3*g2) + (2*t^7.39)/(g1^2*g2^2) + t^7.49/(g1^3*g2^3) + g1^4*g2^2*t^8.16 + g1*g2^3*t^8.16 + g1^5*g2*t^8.21 + 2*g1^2*g2^2*t^8.21 + (g2^3*t^8.21)/g1 + g1^6*t^8.26 + 3*g1^3*g2*t^8.26 + 3*g2^2*t^8.26 + (g2^3*t^8.26)/g1^3 + 2*g1^4*t^8.3 - g1*g2*t^8.3 + (2*g2^2*t^8.3)/g1^2 - 4*t^8.4 - (2*t^8.45)/g1^2 - (2*g1*t^8.45)/g2 - (4*t^8.5)/(g1*g2) - t^4.2/y - (g1*g2*t^6.5)/y - (g1^2*t^6.55)/y - (g2*t^6.55)/(g1*y) - t^6.6/y - t^6.7/(g1*g2*y) + (g1^3*g2*t^7.66)/y + (g2^2*t^7.66)/y + (4*g1*g2*t^7.7)/y + (2*g1^2*t^7.75)/y + (2*g2*t^7.75)/(g1*y) + (3*t^7.8)/y + (2*t^7.85)/(g1^2*y) + (2*g1*t^7.85)/(g2*y) + (3*t^7.9)/(g1*g2*y) - (g1^2*g2^2*t^8.81)/y + (g1*g2*t^8.9)/y + (2*g1^2*t^8.95)/y + (2*g2*t^8.95)/(g1*y) - t^4.2*y - g1*g2*t^6.5*y - g1^2*t^6.55*y - (g2*t^6.55*y)/g1 - t^6.6*y - (t^6.7*y)/(g1*g2) + g1^3*g2*t^7.66*y + g2^2*t^7.66*y + 4*g1*g2*t^7.7*y + 2*g1^2*t^7.75*y + (2*g2*t^7.75*y)/g1 + 3*t^7.8*y + (2*t^7.85*y)/g1^2 + (2*g1*t^7.85*y)/g2 + (3*t^7.9*y)/(g1*g2) - g1^2*g2^2*t^8.81*y + g1*g2*t^8.9*y + 2*g1^2*t^8.95*y + (2*g2*t^8.95*y)/g1 |
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 |
|---|---|---|---|---|---|---|---|---|
| 3907 | $M_1q_1q_2$ + $ 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_1^2$ + $ M_1^2$ + $ M_2X_2$ | 0.5949 | 0.7324 | 0.8123 | [X:[1.6, 1.4], M:[1.0, 0.6, 1.2, 0.4, 0.8, 0.9, 0.9], q:[0.35, 0.65], qb:[0.45, 0.95], phi:[0.4]] | 2*t^2.4 + 2*t^2.7 + t^3. + t^3.6 + 2*t^3.9 + t^4.2 + 4*t^4.8 + 4*t^5.1 + 4*t^5.4 - t^4.2/y - t^4.2*y | detail | {a: 9519/16000, c: 11719/16000, X1: 8/5, X2: 7/5, M1: 1, M2: 3/5, M3: 6/5, M4: 2/5, M5: 4/5, M6: 9/10, M7: 9/10, q1: 7/20, q2: 13/20, qb1: 9/20, qb2: 19/20, phi1: 2/5} |
| 3908 | $M_1q_1q_2$ + $ 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_1^2$ + $ M_8\phi_1q_1\tilde{q}_1$ | 0.6805 | 0.87 | 0.7822 | [X:[1.6], M:[0.7678, 0.8322, 1.2, 0.4, 0.8, 0.7839, 0.7839, 0.8], q:[0.4081, 0.8242], qb:[0.3919, 0.7758], phi:[0.4]] | t^2.3 + 2*t^2.35 + 3*t^2.4 + t^2.5 + 2*t^3.55 + t^4.61 + 2*t^4.66 + 6*t^4.7 + 6*t^4.75 + 8*t^4.8 + 2*t^4.85 + 3*t^4.9 + t^4.99 + 2*t^5.86 + 3*t^5.9 + 4*t^5.95 - 3*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 |