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 |
|---|---|---|---|---|---|---|---|---|---|
| 846 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_4M_5$ | 0.5509 | 0.7087 | 0.7773 | [X:[], M:[1.0508, 0.8475, 0.9492, 1.1525, 0.8475], q:[0.7627, 0.1865], qb:[0.4915, 0.661], phi:[0.4746]] | [X:[], M:[[-4], [12], [4], [-12], [12]], q:[[-1], [5]], qb:[[-19], [7]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $q_2\tilde{q}_1$, $ M_5$, $ \phi_1q_2^2$, $ q_2\tilde{q}_2$, $ M_3$, $ \phi_1^2$, $ M_4$, $ q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ q_2^2\tilde{q}_1^2$, $ \phi_1q_1q_2$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_5q_2\tilde{q}_1$, $ \phi_1q_2^3\tilde{q}_1$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ M_3q_2\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_5^2$, $ M_5\phi_1q_2^2$, $ \phi_1^2q_2^4$, $ M_5q_2\tilde{q}_2$, $ \phi_1q_2^3\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_3M_5$, $ M_5\phi_1^2$, $ M_3\phi_1q_2^2$, $ \phi_1^3q_2^2$, $ M_3q_2\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_3^2$, $ M_3\phi_1^2$, $ \phi_1^4$, $ \phi_1q_1\tilde{q}_2$, $ q_1q_2\tilde{q}_1^2$ | $M_4\phi_1q_2^2$, $ M_4q_2\tilde{q}_2$ | -1 | t^2.03 + 3*t^2.54 + 2*t^2.85 + t^3.46 + t^3.76 + t^3.97 + t^4.07 + t^4.27 + t^4.37 + 2*t^4.58 + 3*t^4.88 + 5*t^5.09 + 7*t^5.39 + t^5.7 + t^5.8 - t^6. + t^6.1 + 3*t^6.3 + t^6.41 + t^6.51 + 2*t^6.61 + 3*t^6.81 + 3*t^6.91 + 2*t^7.12 + 2*t^7.22 + 3*t^7.42 + 7*t^7.63 + 2*t^7.73 + 2*t^7.83 + 12*t^7.93 - 3*t^8.03 + 2*t^8.13 + 5*t^8.24 + t^8.44 - 7*t^8.54 + 3*t^8.64 + t^8.74 - 3*t^8.85 + 2*t^8.95 - t^4.42/y - t^6.97/y - t^7.27/y + (4*t^7.58)/y + (3*t^7.88)/y + (3*t^8.09)/y + (6*t^8.39)/y + t^8.49/y + t^8.7/y + t^8.8/y - t^4.42*y - t^6.97*y - t^7.27*y + 4*t^7.58*y + 3*t^7.88*y + 3*t^8.09*y + 6*t^8.39*y + t^8.49*y + t^8.7*y + t^8.8*y | t^2.03/g1^14 + 3*g1^12*t^2.54 + 2*g1^4*t^2.85 + t^3.46/g1^12 + t^3.76/g1^20 + g1^14*t^3.97 + t^4.07/g1^28 + g1^6*t^4.27 + t^4.37/g1^36 + (2*t^4.58)/g1^2 + (3*t^4.88)/g1^10 + 5*g1^24*t^5.09 + 7*g1^16*t^5.39 + g1^8*t^5.7 + t^5.8/g1^34 - t^6. + t^6.1/g1^42 + (3*t^6.3)/g1^8 + t^6.41/g1^50 + g1^26*t^6.51 + (2*t^6.61)/g1^16 + 3*g1^18*t^6.81 + (3*t^6.91)/g1^24 + 2*g1^10*t^7.12 + (2*t^7.22)/g1^32 + 3*g1^2*t^7.42 + 7*g1^36*t^7.63 + (2*t^7.73)/g1^6 + (2*t^7.83)/g1^48 + 12*g1^28*t^7.93 - (3*t^8.03)/g1^14 + (2*t^8.13)/g1^56 + 5*g1^20*t^8.24 + t^8.44/g1^64 - 7*g1^12*t^8.54 + (3*t^8.64)/g1^30 + t^8.74/g1^72 - 3*g1^4*t^8.85 + (2*t^8.95)/g1^38 - (g1^2*t^4.42)/y - (g1^14*t^6.97)/y - (g1^6*t^7.27)/y + (4*t^7.58)/(g1^2*y) + (3*t^7.88)/(g1^10*y) + (3*g1^24*t^8.09)/y + (6*g1^16*t^8.39)/y + t^8.49/(g1^26*y) + (g1^8*t^8.7)/y + t^8.8/(g1^34*y) - g1^2*t^4.42*y - g1^14*t^6.97*y - g1^6*t^7.27*y + (4*t^7.58*y)/g1^2 + (3*t^7.88*y)/g1^10 + 3*g1^24*t^8.09*y + 6*g1^16*t^8.39*y + (t^8.49*y)/g1^26 + g1^8*t^8.7*y + (t^8.8*y)/g1^34 |
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 |
|---|---|---|---|---|---|---|---|---|
| 1340 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_6\phi_1q_2\tilde{q}_2$ | 0.5717 | 0.7497 | 0.7625 | [X:[], M:[1.0504, 0.8487, 0.9496, 1.1513, 0.8487, 0.6766], q:[0.7626, 0.1869], qb:[0.4896, 0.6617], phi:[0.4748]] | 2*t^2.03 + 3*t^2.55 + 2*t^2.85 + t^3.45 + t^3.76 + 3*t^4.06 + t^4.27 + t^4.36 + 5*t^4.58 + 5*t^4.88 + 5*t^5.09 + 7*t^5.39 + t^5.48 + t^5.7 + 2*t^5.79 - 2*t^6. - t^4.42/y - t^4.42*y | detail | |
| 2027 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_6q_1\tilde{q}_1$ | 0.5704 | 0.7452 | 0.7654 | [X:[], M:[1.0541, 0.8377, 0.9459, 1.1623, 0.8377, 0.7295], q:[0.7635, 0.1824], qb:[0.507, 0.6553], phi:[0.473]] | t^2.07 + t^2.19 + 3*t^2.51 + 2*t^2.84 + t^3.49 + t^3.93 + t^4.14 + 2*t^4.26 + t^4.38 + t^4.46 + 2*t^4.58 + 3*t^4.7 + 3*t^4.91 + 7*t^5.03 + 7*t^5.35 + 2*t^5.68 - t^6. - t^4.42/y - t^4.42*y | detail | |
| 2026 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_4M_5$ + $ q_1q_2\tilde{q}_1^2$ | 0.5493 | 0.7074 | 0.7765 | [X:[], M:[1.0588, 0.8235, 0.9412, 1.1765, 0.8235], q:[0.7647, 0.1765], qb:[0.5294, 0.6471], phi:[0.4706]] | t^2.12 + 3*t^2.47 + 2*t^2.82 + t^3.53 + 2*t^3.88 + 2*t^4.24 + 3*t^4.59 + 8*t^4.94 + 7*t^5.29 + t^5.65 - t^4.41/y - t^4.41*y | detail | {a: 43179/78608, c: 27803/39304, M1: 18/17, M2: 14/17, M3: 16/17, M4: 20/17, M5: 14/17, q1: 13/17, q2: 3/17, qb1: 9/17, qb2: 11/17, phi1: 8/17} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 541 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ | 0.6135 | 0.7921 | 0.7745 | [X:[], M:[0.9638, 1.1086, 1.0362, 0.8914, 0.7321], q:[0.7409, 0.2953], qb:[0.4546, 0.4368], phi:[0.5181]] | 2*t^2.2 + t^2.25 + t^2.67 + 2*t^3.11 + t^3.33 + t^3.53 + t^3.59 + t^3.75 + t^4.18 + t^4.23 + t^4.28 + 3*t^4.39 + 2*t^4.45 + t^4.5 + 2*t^4.87 + t^4.92 + 4*t^5.3 + t^5.35 + 2*t^5.36 + t^5.52 + 2*t^5.73 + 4*t^5.78 + t^5.84 + t^5.95 - 2*t^6. - t^4.55/y - t^4.55*y | detail |