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 |
|---|---|---|---|---|---|---|---|---|---|
| 2660 | 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_1\tilde{q}_2^2$ + $ M_6\phi_1^2$ + $ M_2\phi_1q_2^2$ + $ M_7\phi_1\tilde{q}_1^2$ | 0.6771 | 0.847 | 0.7994 | [X:[], M:[0.9949, 0.7783, 0.9408, 0.8325, 1.1675, 1.1134, 0.6701], q:[0.6159, 0.3892], qb:[0.4433, 0.7783], phi:[0.4433]] | [X:[], M:[[-18], [2], [-13], [-3], [3], [8], [12]], q:[[17], [1]], qb:[[-4], [2]], phi:[[-4]]] | 1 | {a: 1261243/1862832, c: 788911/931416, M1: 196/197, M2: 460/591, M3: 556/591, M4: 164/197, M5: 230/197, M6: 658/591, M7: 132/197, q1: 364/591, q2: 230/591, qb1: 262/591, qb2: 460/591, phi1: 262/591} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_7$, $ M_2$, $ M_4$, $ M_3$, $ M_1$, $ M_6$, $ M_5$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ M_7^2$, $ q_1\tilde{q}_2$, $ M_2M_7$, $ \phi_1q_1q_2$, $ M_4M_7$, $ \phi_1q_1\tilde{q}_1$, $ M_2^2$, $ M_2M_4$, $ M_3M_7$, $ \phi_1q_2\tilde{q}_2$, $ M_4^2$, $ M_1M_7$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1^2$, $ M_2M_3$, $ M_1M_2$, $ M_3M_4$, $ M_6M_7$, $ M_5M_7$, $ \phi_1q_1\tilde{q}_2$, $ M_3^2$, $ M_2M_6$, $ M_7\phi_1q_2^2$, $ M_1M_3$, $ M_2M_5$, $ M_4M_6$, $ M_7\phi_1q_2\tilde{q}_1$, $ M_1^2$ | . | -1 | t^2.01 + t^2.34 + t^2.5 + t^2.82 + t^2.98 + t^3.34 + t^3.5 + t^3.66 + t^3.83 + t^4.02 + t^4.18 + 2*t^4.35 + 2*t^4.51 + t^4.67 + 2*t^4.83 + 2*t^4.99 + t^5.03 + t^5.16 + t^5.32 + t^5.35 + t^5.51 + t^5.64 + 2*t^5.68 + t^5.81 + 2*t^5.84 + t^5.97 - t^6. + t^6.03 + t^6.16 + t^6.19 + 2*t^6.32 + 2*t^6.36 + t^6.49 + 2*t^6.52 + t^6.65 + 2*t^6.68 + 3*t^6.84 + 4*t^7.01 + t^7.04 + 3*t^7.17 + 2*t^7.33 + 2*t^7.36 + 2*t^7.49 + 2*t^7.52 + 2*t^7.65 + 3*t^7.69 + t^7.82 + 3*t^7.85 + 2*t^7.98 + t^8.01 + t^8.04 + t^8.14 + t^8.17 + t^8.2 + t^8.3 + 3*t^8.37 + t^8.47 + 3*t^8.53 + t^8.63 + t^8.66 + 3*t^8.69 + t^8.79 - 2*t^8.82 + 3*t^8.85 + t^8.95 - 2*t^8.98 - t^4.33/y - t^6.34/y - t^6.66/y - t^7.15/y - t^7.31/y + (2*t^7.35)/y + (2*t^7.51)/y + (2*t^7.83)/y + (2*t^7.99)/y + t^8.16/y + (3*t^8.32)/y + t^8.48/y + t^8.51/y + t^8.68/y + t^8.81/y + (3*t^8.84)/y - t^4.33*y - t^6.34*y - t^6.66*y - t^7.15*y - t^7.31*y + 2*t^7.35*y + 2*t^7.51*y + 2*t^7.83*y + 2*t^7.99*y + t^8.16*y + 3*t^8.32*y + t^8.48*y + t^8.51*y + t^8.68*y + t^8.81*y + 3*t^8.84*y | g1^12*t^2.01 + g1^2*t^2.34 + t^2.5/g1^3 + t^2.82/g1^13 + t^2.98/g1^18 + g1^8*t^3.34 + g1^3*t^3.5 + t^3.66/g1^2 + t^3.83/g1^7 + g1^24*t^4.02 + g1^19*t^4.18 + 2*g1^14*t^4.35 + 2*g1^9*t^4.51 + g1^4*t^4.67 + (2*t^4.83)/g1 + (2*t^4.99)/g1^6 + g1^30*t^5.03 + t^5.16/g1^11 + t^5.32/g1^16 + g1^20*t^5.35 + g1^15*t^5.51 + t^5.64/g1^26 + 2*g1^10*t^5.68 + t^5.81/g1^31 + 2*g1^5*t^5.84 + t^5.97/g1^36 - t^6. + g1^36*t^6.03 + t^6.16/g1^5 + g1^31*t^6.19 + (2*t^6.32)/g1^10 + 2*g1^26*t^6.36 + t^6.49/g1^15 + 2*g1^21*t^6.52 + t^6.65/g1^20 + 2*g1^16*t^6.68 + 3*g1^11*t^6.84 + 4*g1^6*t^7.01 + g1^42*t^7.04 + 3*g1*t^7.17 + (2*t^7.33)/g1^4 + 2*g1^32*t^7.36 + (2*t^7.49)/g1^9 + 2*g1^27*t^7.52 + (2*t^7.65)/g1^14 + 3*g1^22*t^7.69 + t^7.82/g1^19 + 3*g1^17*t^7.85 + (2*t^7.98)/g1^24 + g1^12*t^8.01 + g1^48*t^8.04 + t^8.14/g1^29 + g1^7*t^8.17 + g1^43*t^8.2 + t^8.3/g1^34 + 3*g1^38*t^8.37 + t^8.47/g1^39 + 3*g1^33*t^8.53 + t^8.63/g1^44 + t^8.66/g1^8 + 3*g1^28*t^8.69 + t^8.79/g1^49 - (2*t^8.82)/g1^13 + 3*g1^23*t^8.85 + t^8.95/g1^54 - (2*t^8.98)/g1^18 - t^4.33/(g1^4*y) - (g1^8*t^6.34)/y - t^6.66/(g1^2*y) - t^7.15/(g1^17*y) - t^7.31/(g1^22*y) + (2*g1^14*t^7.35)/y + (2*g1^9*t^7.51)/y + (2*t^7.83)/(g1*y) + (2*t^7.99)/(g1^6*y) + t^8.16/(g1^11*y) + (3*t^8.32)/(g1^16*y) + t^8.48/(g1^21*y) + (g1^15*t^8.51)/y + (g1^10*t^8.68)/y + t^8.81/(g1^31*y) + (3*g1^5*t^8.84)/y - (t^4.33*y)/g1^4 - g1^8*t^6.34*y - (t^6.66*y)/g1^2 - (t^7.15*y)/g1^17 - (t^7.31*y)/g1^22 + 2*g1^14*t^7.35*y + 2*g1^9*t^7.51*y + (2*t^7.83*y)/g1 + (2*t^7.99*y)/g1^6 + (t^8.16*y)/g1^11 + (3*t^8.32*y)/g1^16 + (t^8.48*y)/g1^21 + g1^15*t^8.51*y + g1^10*t^8.68*y + (t^8.81*y)/g1^31 + 3*g1^5*t^8.84*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 |
|---|---|---|---|---|---|---|---|---|
| 4808 | $M_1q_1q_2$ + $ 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_1\tilde{q}_2^2$ + $ M_6\phi_1^2$ + $ M_2\phi_1q_2^2$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_2M_8$ | 0.6593 | 0.8153 | 0.8087 | [X:[], M:[0.9914, 0.7787, 0.9383, 0.8319, 1.1681, 1.1149, 0.6724, 1.2213], q:[0.6192, 0.3894], qb:[0.4425, 0.7787], phi:[0.4425]] | t^2.02 + t^2.5 + t^2.81 + t^2.97 + t^3.34 + t^3.5 + 2*t^3.66 + t^3.82 + t^4.03 + t^4.19 + t^4.35 + 2*t^4.51 + t^4.83 + 2*t^4.99 + t^5.04 + t^5.36 + t^5.52 + t^5.63 + 2*t^5.68 + t^5.79 + t^5.84 + t^5.95 - 2*t^6. - t^4.33/y - t^4.33*y | detail | |
| 4811 | $M_1q_1q_2$ + $ 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_1\tilde{q}_2^2$ + $ M_6\phi_1^2$ + $ M_2\phi_1q_2^2$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_5M_8$ | 0.6915 | 0.8717 | 0.7933 | [X:[], M:[0.988, 0.7791, 0.9358, 0.8313, 1.1687, 1.1165, 0.6747, 0.8313], q:[0.6225, 0.3896], qb:[0.4418, 0.7791], phi:[0.4418]] | t^2.02 + t^2.34 + 2*t^2.49 + t^2.81 + t^2.96 + t^3.35 + t^3.66 + t^3.82 + t^4.05 + t^4.2 + 2*t^4.36 + 3*t^4.52 + t^4.67 + 3*t^4.83 + 4*t^4.99 + t^5.06 + t^5.14 + 2*t^5.3 + t^5.37 + t^5.46 + t^5.61 + 2*t^5.69 + t^5.77 + 2*t^5.84 + t^5.93 - 2*t^6. - t^4.33/y - t^4.33*y | detail | |
| 4813 | $M_1q_1q_2$ + $ 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_1\tilde{q}_2^2$ + $ M_6\phi_1^2$ + $ M_2\phi_1q_2^2$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_8\phi_1q_2^2$ + $ M_7X_1$ | 0.674 | 0.8371 | 0.8051 | [X:[1.3321], M:[0.9981, 0.778, 0.9431, 0.833, 1.167, 1.112, 0.6679, 0.778], q:[0.6129, 0.389], qb:[0.444, 0.778], phi:[0.444]] | 2*t^2.33 + t^2.5 + t^2.83 + t^2.99 + t^3.34 + t^3.5 + t^3.83 + t^4. + t^4.17 + t^4.34 + t^4.5 + 3*t^4.67 + 2*t^4.83 + t^5. + t^5.01 + 2*t^5.16 + 2*t^5.33 + t^5.66 + 2*t^5.67 + t^5.82 + 2*t^5.83 + t^5.99 - 2*t^6. - t^4.33/y - t^4.33*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1543 | 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_1\tilde{q}_2^2$ + $ M_6\phi_1^2$ + $ M_2\phi_1q_2^2$ | 0.6562 | 0.8056 | 0.8146 | [X:[], M:[0.994, 0.7784, 0.9401, 0.8323, 1.1677, 1.1138], q:[0.6167, 0.3892], qb:[0.4431, 0.7784], phi:[0.4431]] | t^2.34 + t^2.5 + t^2.82 + t^2.98 + t^3.34 + t^3.5 + t^3.66 + t^3.83 + t^3.99 + t^4.19 + t^4.35 + t^4.51 + t^4.67 + t^4.83 + t^4.99 + t^5.03 + t^5.16 + t^5.32 + t^5.64 + t^5.68 + t^5.8 + t^5.84 + t^5.96 - t^6. - t^4.33/y - t^4.33*y | detail |