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 |
|---|---|---|---|---|---|---|---|---|---|
| 1886 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ q_1q_2\tilde{q}_1^2$ | 0.6188 | 0.8048 | 0.7688 | [X:[], M:[0.9605, 1.1186, 0.9605, 0.8814, 0.7006], q:[0.7401, 0.2994], qb:[0.4802, 0.4012], phi:[0.5198]] | [X:[], M:[[4], [-12], [4], [12], [5]], q:[[1], [-5]], qb:[[2], [10]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ q_2\tilde{q}_2$, $ q_2\tilde{q}_1$, $ M_4$, $ M_1$, $ M_3$, $ \phi_1q_2^2$, $ q_1\tilde{q}_2$, $ q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_5^2$, $ M_5q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_5q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1q_2$, $ q_2^2\tilde{q}_1^2$, $ M_4M_5$, $ M_4q_2\tilde{q}_2$, $ M_1M_5$, $ M_3M_5$, $ M_4q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ M_3q_2\tilde{q}_1$, $ M_4^2$, $ M_5\phi_1q_2^2$, $ \phi_1q_2^3\tilde{q}_2$, $ M_1M_4$, $ M_3M_4$, $ M_5q_1\tilde{q}_2$, $ q_1q_2\tilde{q}_2^2$, $ M_1^2$, $ M_1M_3$, $ M_3^2$, $ M_5q_1\tilde{q}_1$, $ M_5\phi_1q_2\tilde{q}_2$, $ q_1q_2\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2\tilde{q}_2^2$ | $M_4\phi_1q_2^2$ | -1 | 2*t^2.1 + t^2.34 + t^2.64 + 2*t^2.88 + t^3.36 + t^3.42 + 2*t^3.66 + t^3.97 + 4*t^4.2 + 3*t^4.44 + t^4.68 + 2*t^4.75 + 5*t^4.98 + 2*t^5.22 + t^5.29 + t^5.46 + 4*t^5.53 + 6*t^5.76 - t^6. + 3*t^6.07 - t^6.24 + 9*t^6.31 + 6*t^6.54 + t^6.61 + t^6.71 + 6*t^6.85 + 11*t^7.09 - t^7.25 + 5*t^7.32 + 3*t^7.39 - t^7.56 + 10*t^7.63 - 2*t^7.8 + 11*t^7.86 + 2*t^7.93 - 2*t^8.1 + 8*t^8.17 - 6*t^8.34 + 17*t^8.41 - 3*t^8.58 + 10*t^8.64 + 3*t^8.71 + t^8.81 - 7*t^8.88 + 13*t^8.95 - t^4.56/y - t^6.66/y + t^7.2/y + t^7.44/y + t^7.68/y + (2*t^7.75)/y + (5*t^7.98)/y + (2*t^8.22)/y + (3*t^8.46)/y + (4*t^8.53)/y + t^8.69/y + (5*t^8.76)/y - t^4.56*y - t^6.66*y + t^7.2*y + t^7.44*y + t^7.68*y + 2*t^7.75*y + 5*t^7.98*y + 2*t^8.22*y + 3*t^8.46*y + 4*t^8.53*y + t^8.69*y + 5*t^8.76*y | 2*g1^5*t^2.1 + t^2.34/g1^3 + g1^12*t^2.64 + 2*g1^4*t^2.88 + t^3.36/g1^12 + g1^11*t^3.42 + 2*g1^3*t^3.66 + g1^18*t^3.97 + 4*g1^10*t^4.2 + 3*g1^2*t^4.44 + t^4.68/g1^6 + 2*g1^17*t^4.75 + 5*g1^9*t^4.98 + 2*g1*t^5.22 + g1^24*t^5.29 + t^5.46/g1^7 + 4*g1^16*t^5.53 + 6*g1^8*t^5.76 - t^6. + 3*g1^23*t^6.07 - t^6.24/g1^8 + 9*g1^15*t^6.31 + 6*g1^7*t^6.54 + g1^30*t^6.61 + t^6.71/g1^24 + 6*g1^22*t^6.85 + 11*g1^14*t^7.09 - t^7.25/g1^17 + 5*g1^6*t^7.32 + 3*g1^29*t^7.39 - t^7.56/g1^2 + 10*g1^21*t^7.63 - (2*t^7.8)/g1^10 + 11*g1^13*t^7.86 + 2*g1^36*t^7.93 - 2*g1^5*t^8.1 + 8*g1^28*t^8.17 - (6*t^8.34)/g1^3 + 17*g1^20*t^8.41 - (3*t^8.58)/g1^11 + 10*g1^12*t^8.64 + 3*g1^35*t^8.71 + t^8.81/g1^19 - 7*g1^4*t^8.88 + 13*g1^27*t^8.95 - t^4.56/(g1^2*y) - (g1^3*t^6.66)/y + (g1^10*t^7.2)/y + (g1^2*t^7.44)/y + t^7.68/(g1^6*y) + (2*g1^17*t^7.75)/y + (5*g1^9*t^7.98)/y + (2*g1*t^8.22)/y + (3*t^8.46)/(g1^7*y) + (4*g1^16*t^8.53)/y + t^8.69/(g1^15*y) + (5*g1^8*t^8.76)/y - (t^4.56*y)/g1^2 - g1^3*t^6.66*y + g1^10*t^7.2*y + g1^2*t^7.44*y + (t^7.68*y)/g1^6 + 2*g1^17*t^7.75*y + 5*g1^9*t^7.98*y + 2*g1*t^8.22*y + (3*t^8.46*y)/g1^7 + 4*g1^16*t^8.53*y + (t^8.69*y)/g1^15 + 5*g1^8*t^8.76*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 |
|---|---|---|---|---|---|---|---|---|
| 2906 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ q_1q_2\tilde{q}_1^2$ + $ M_4M_5$ | 0.5384 | 0.6891 | 0.7813 | [X:[], M:[1.0588, 0.8235, 1.0588, 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^3.18 + t^3.53 + 2*t^3.88 + 2*t^4.24 + 3*t^4.59 + 6*t^4.94 + 3*t^5.29 + 4*t^5.65 - t^4.41/y - t^4.41*y | detail | {a: 42321/78608, c: 27085/39304, M1: 18/17, M2: 14/17, M3: 18/17, M4: 20/17, M5: 14/17, q1: 13/17, q2: 3/17, qb1: 9/17, qb2: 11/17, phi1: 8/17} |
| 2908 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ q_1q_2\tilde{q}_1^2$ + $ M_6\phi_1\tilde{q}_2^2$ | 0.6396 | 0.8457 | 0.7563 | [X:[], M:[0.9614, 1.1157, 0.9614, 0.8843, 0.7018, 0.6736], q:[0.7404, 0.2982], qb:[0.4807, 0.4036], phi:[0.5193]] | t^2.02 + 2*t^2.11 + t^2.34 + t^2.65 + 2*t^2.88 + t^3.35 + t^3.43 + 2*t^3.66 + t^4.04 + 2*t^4.13 + 4*t^4.21 + t^4.36 + 3*t^4.44 + 2*t^4.67 + 2*t^4.76 + 2*t^4.91 + 5*t^4.99 + 2*t^5.22 + t^5.31 + t^5.37 + 2*t^5.45 + 4*t^5.54 + 2*t^5.68 + 6*t^5.77 - t^6. - t^4.56/y - t^4.56*y | detail | |
| 2907 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ q_1q_2\tilde{q}_1^2$ + $ M_6q_1\tilde{q}_2$ | 0.6323 | 0.8253 | 0.7662 | [X:[], M:[0.971, 1.0869, 0.971, 0.9131, 0.7138, 0.8297], q:[0.7428, 0.2862], qb:[0.4855, 0.4276], phi:[0.5145]] | 2*t^2.14 + t^2.32 + t^2.49 + t^2.74 + 2*t^2.91 + t^3.26 + 2*t^3.68 + t^4.11 + 4*t^4.28 + 3*t^4.46 + 3*t^4.63 + t^4.8 + 2*t^4.88 + t^4.98 + 5*t^5.05 + 3*t^5.23 + 3*t^5.4 + t^5.48 + 2*t^5.65 + t^5.75 + 5*t^5.83 - t^6. - t^4.54/y - t^4.54*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 |
|---|---|---|---|---|---|---|---|---|---|
| 545 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ | 0.6216 | 0.8089 | 0.7684 | [X:[], M:[0.9496, 1.1511, 0.9496, 0.8489, 0.7292], q:[0.7374, 0.313], qb:[0.4326, 0.4162], phi:[0.5252]] | 2*t^2.19 + t^2.24 + t^2.55 + 2*t^2.85 + t^3.45 + t^3.46 + t^3.51 + t^3.76 + t^4.07 + t^4.12 + t^4.17 + 3*t^4.38 + 2*t^4.42 + t^4.47 + 2*t^4.73 + t^4.78 + 4*t^5.04 + 3*t^5.09 + 2*t^5.4 + t^5.64 + 2*t^5.65 + 5*t^5.7 + t^5.75 + t^5.95 - 2*t^6. - t^4.58/y - t^4.58*y | detail |