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 |
|---|---|---|---|---|---|---|---|---|---|
| 4808 | 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$ + $ 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]] | [X:[], M:[[-18], [2], [-13], [-3], [3], [8], [12], [-2]], q:[[17], [1]], qb:[[-4], [2]], phi:[[-4]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_7$, $ M_4$, $ M_3$, $ M_1$, $ M_6$, $ M_5$, $ M_8$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ M_7^2$, $ q_1\tilde{q}_2$, $ \phi_1q_1q_2$, $ M_4M_7$, $ \phi_1q_1\tilde{q}_1$, $ 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_6M_7$, $ M_5M_7$, $ \phi_1q_1\tilde{q}_2$, $ M_3^2$, $ M_7M_8$, $ M_7\phi_1q_2^2$, $ M_1M_3$, $ M_4M_6$, $ M_7\phi_1q_2\tilde{q}_1$, $ M_1^2$ | . | -2 | 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^6.05 + t^6.16 + t^6.21 + 2*t^6.32 + t^6.37 + 2*t^6.48 + t^6.53 + 2*t^6.64 + t^6.85 + 4*t^7.01 + t^7.06 + 2*t^7.17 + 2*t^7.33 + t^7.38 + 2*t^7.49 + 2*t^7.54 + t^7.65 + 3*t^7.7 + t^7.81 + 3*t^7.86 + t^7.97 + t^8.07 + t^8.18 + t^8.23 + t^8.34 + 2*t^8.39 + t^8.44 + 2*t^8.55 + t^8.6 + t^8.66 + 2*t^8.71 + t^8.76 - 3*t^8.81 + t^8.87 + t^8.92 - 3*t^8.97 - t^4.33/y - t^6.34/y - t^7.14/y - t^7.3/y + t^7.35/y + (2*t^7.51)/y + t^7.83/y + t^7.99/y + (2*t^8.31)/y + t^8.47/y + t^8.52/y + (2*t^8.68)/y + t^8.79/y + (2*t^8.84)/y - t^4.33*y - t^6.34*y - t^7.14*y - t^7.3*y + t^7.35*y + 2*t^7.51*y + t^7.83*y + t^7.99*y + 2*t^8.31*y + t^8.47*y + t^8.52*y + 2*t^8.68*y + t^8.79*y + 2*t^8.84*y | g1^12*t^2.02 + t^2.5/g1^3 + t^2.81/g1^13 + t^2.97/g1^18 + g1^8*t^3.34 + g1^3*t^3.5 + (2*t^3.66)/g1^2 + t^3.82/g1^7 + g1^24*t^4.03 + g1^19*t^4.19 + g1^14*t^4.35 + 2*g1^9*t^4.51 + t^4.83/g1 + (2*t^4.99)/g1^6 + g1^30*t^5.04 + g1^20*t^5.36 + g1^15*t^5.52 + t^5.63/g1^26 + 2*g1^10*t^5.68 + t^5.79/g1^31 + g1^5*t^5.84 + t^5.95/g1^36 - 2*t^6. + g1^36*t^6.05 + t^6.16/g1^5 + g1^31*t^6.21 + (2*t^6.32)/g1^10 + g1^26*t^6.37 + (2*t^6.48)/g1^15 + g1^21*t^6.53 + (2*t^6.64)/g1^20 + g1^11*t^6.85 + 4*g1^6*t^7.01 + g1^42*t^7.06 + 2*g1*t^7.17 + (2*t^7.33)/g1^4 + g1^32*t^7.38 + (2*t^7.49)/g1^9 + 2*g1^27*t^7.54 + t^7.65/g1^14 + 3*g1^22*t^7.7 + t^7.81/g1^19 + 3*g1^17*t^7.86 + t^7.97/g1^24 + g1^48*t^8.07 + g1^7*t^8.18 + g1^43*t^8.23 + g1^2*t^8.34 + 2*g1^38*t^8.39 + t^8.44/g1^39 + 2*g1^33*t^8.55 + t^8.6/g1^44 + t^8.66/g1^8 + 2*g1^28*t^8.71 + t^8.76/g1^49 - (3*t^8.81)/g1^13 + g1^23*t^8.87 + t^8.92/g1^54 - (3*t^8.97)/g1^18 - t^4.33/(g1^4*y) - (g1^8*t^6.34)/y - t^7.14/(g1^17*y) - t^7.3/(g1^22*y) + (g1^14*t^7.35)/y + (2*g1^9*t^7.51)/y + t^7.83/(g1*y) + t^7.99/(g1^6*y) + (2*t^8.31)/(g1^16*y) + t^8.47/(g1^21*y) + (g1^15*t^8.52)/y + (2*g1^10*t^8.68)/y + t^8.79/(g1^31*y) + (2*g1^5*t^8.84)/y - (t^4.33*y)/g1^4 - g1^8*t^6.34*y - (t^7.14*y)/g1^17 - (t^7.3*y)/g1^22 + g1^14*t^7.35*y + 2*g1^9*t^7.51*y + (t^7.83*y)/g1 + (t^7.99*y)/g1^6 + (2*t^8.31*y)/g1^16 + (t^8.47*y)/g1^21 + g1^15*t^8.52*y + 2*g1^10*t^8.68*y + (t^8.79*y)/g1^31 + 2*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 |
|---|---|---|---|---|---|---|---|---|
| 6430 | $M_1q_1q_2$ + $ 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$ + $ M_5M_9$ | 0.6738 | 0.8402 | 0.802 | [X:[], M:[0.9845, 0.7795, 0.9332, 0.8307, 1.1693, 1.118, 0.677, 1.2205, 0.8307], q:[0.6258, 0.3898], qb:[0.441, 0.7795], phi:[0.441]] | t^2.03 + 2*t^2.49 + t^2.8 + t^2.95 + t^3.35 + 2*t^3.66 + t^3.82 + t^4.06 + t^4.22 + t^4.37 + 3*t^4.52 + t^4.83 + 4*t^4.98 + t^5.08 + t^5.29 + t^5.39 + t^5.45 + t^5.6 + 2*t^5.69 + t^5.75 + 2*t^5.85 + t^5.91 - 3*t^6. - t^4.32/y - t^4.32*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 |
|---|---|---|---|---|---|---|---|---|---|
| 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]] | 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^4.33/y - t^4.33*y | detail | {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} |