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 |
|---|---|---|---|---|---|---|---|---|---|
| 3496 | 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$ + $ M_6\phi_1\tilde{q}_2^2$ + $ M_7\phi_1q_2^2$ | 0.651 | 0.8665 | 0.7513 | [X:[], M:[0.9534, 1.1397, 0.9534, 0.8603, 0.6918, 0.7095, 0.8603], q:[0.7384, 0.3082], qb:[0.4767, 0.3836], phi:[0.5233]] | [X:[], M:[[4], [-12], [4], [12], [5], [-18], [12]], 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$, $ M_6$, $ q_2\tilde{q}_1$, $ M_4$, $ M_7$, $ M_1$, $ M_3$, $ q_1\tilde{q}_2$, $ q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_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_5M_6$, $ M_6q_2\tilde{q}_2$, $ M_6^2$, $ M_5q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ M_6q_2\tilde{q}_1$, $ M_4M_5$, $ M_5M_7$, $ M_4q_2\tilde{q}_2$, $ M_7q_2\tilde{q}_2$, $ M_4M_6$, $ M_6M_7$, $ \phi_1q_1q_2$, $ q_2^2\tilde{q}_1^2$, $ M_1M_5$, $ M_3M_5$, $ M_4q_2\tilde{q}_1$, $ M_7q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ M_1M_6$, $ M_3M_6$, $ M_4^2$, $ M_4M_7$, $ M_7^2$, $ \phi_1q_1\tilde{q}_1$, $ M_3q_2\tilde{q}_1$, $ M_1M_4$, $ M_3M_4$, $ M_1M_7$, $ M_3M_7$, $ 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_6q_1\tilde{q}_1$, $ M_6\phi_1q_2\tilde{q}_2$, $ M_4q_1\tilde{q}_2$, $ M_7q_1\tilde{q}_2$ | . | -2 | 2*t^2.08 + t^2.13 + t^2.35 + 2*t^2.58 + 2*t^2.86 + t^3.37 + 2*t^3.65 + 4*t^4.15 + 2*t^4.2 + t^4.26 + 3*t^4.43 + t^4.48 + 4*t^4.66 + 3*t^4.71 + 6*t^4.94 + 2*t^4.99 + 3*t^5.16 + 2*t^5.22 + 6*t^5.44 + 6*t^5.72 + t^5.77 + 2*t^5.95 - 2*t^6. + 10*t^6.23 + t^6.28 + 2*t^6.33 + t^6.39 + 6*t^6.51 + 3*t^6.56 + t^6.61 + 8*t^6.73 + 3*t^6.78 + 3*t^6.84 + 14*t^7.01 + 4*t^7.06 + 2*t^7.12 + 6*t^7.24 + 8*t^7.29 + t^7.34 + 14*t^7.52 + t^7.57 + 4*t^7.74 + 13*t^7.8 + t^7.85 + t^7.9 + 10*t^8.02 - 3*t^8.08 - 3*t^8.13 + 20*t^8.3 - 2*t^8.35 + t^8.41 + 2*t^8.46 + t^8.51 + 3*t^8.53 + 6*t^8.58 + t^8.63 + 3*t^8.69 + t^8.74 + 18*t^8.81 - 6*t^8.86 + 3*t^8.91 + 3*t^8.97 - t^4.57/y - t^6.65/y - t^6.7/y + (2*t^7.2)/y + t^7.43/y + t^7.48/y + (4*t^7.66)/y + (3*t^7.71)/y + (6*t^7.94)/y + (3*t^7.99)/y + t^8.16/y + (2*t^8.22)/y + (7*t^8.44)/y + (2*t^8.49)/y + (5*t^8.72)/y + t^8.77/y - t^8.83/y + (2*t^8.95)/y - t^4.57*y - t^6.65*y - t^6.7*y + 2*t^7.2*y + t^7.43*y + t^7.48*y + 4*t^7.66*y + 3*t^7.71*y + 6*t^7.94*y + 3*t^7.99*y + t^8.16*y + 2*t^8.22*y + 7*t^8.44*y + 2*t^8.49*y + 5*t^8.72*y + t^8.77*y - t^8.83*y + 2*t^8.95*y | 2*g1^5*t^2.08 + t^2.13/g1^18 + t^2.35/g1^3 + 2*g1^12*t^2.58 + 2*g1^4*t^2.86 + g1^11*t^3.37 + 2*g1^3*t^3.65 + 4*g1^10*t^4.15 + (2*t^4.2)/g1^13 + t^4.26/g1^36 + 3*g1^2*t^4.43 + t^4.48/g1^21 + 4*g1^17*t^4.66 + (3*t^4.71)/g1^6 + 6*g1^9*t^4.94 + (2*t^4.99)/g1^14 + 3*g1^24*t^5.16 + 2*g1*t^5.22 + 6*g1^16*t^5.44 + 6*g1^8*t^5.72 + t^5.77/g1^15 + 2*g1^23*t^5.95 - 2*t^6. + 10*g1^15*t^6.23 + t^6.28/g1^8 + (2*t^6.33)/g1^31 + t^6.39/g1^54 + 6*g1^7*t^6.51 + (3*t^6.56)/g1^16 + t^6.61/g1^39 + 8*g1^22*t^6.73 + (3*t^6.78)/g1 + (3*t^6.84)/g1^24 + 14*g1^14*t^7.01 + (4*t^7.06)/g1^9 + (2*t^7.12)/g1^32 + 6*g1^29*t^7.24 + 8*g1^6*t^7.29 + t^7.34/g1^17 + 14*g1^21*t^7.52 + t^7.57/g1^2 + 4*g1^36*t^7.74 + 13*g1^13*t^7.8 + t^7.85/g1^10 + t^7.9/g1^33 + 10*g1^28*t^8.02 - 3*g1^5*t^8.08 - (3*t^8.13)/g1^18 + 20*g1^20*t^8.3 - (2*t^8.35)/g1^3 + t^8.41/g1^26 + (2*t^8.46)/g1^49 + t^8.51/g1^72 + 3*g1^35*t^8.53 + 6*g1^12*t^8.58 + t^8.63/g1^11 + (3*t^8.69)/g1^34 + t^8.74/g1^57 + 18*g1^27*t^8.81 - 6*g1^4*t^8.86 + (3*t^8.91)/g1^19 + (3*t^8.97)/g1^42 - t^4.57/(g1^2*y) - (g1^3*t^6.65)/y - t^6.7/(g1^20*y) + (2*t^7.2)/(g1^13*y) + (g1^2*t^7.43)/y + t^7.48/(g1^21*y) + (4*g1^17*t^7.66)/y + (3*t^7.71)/(g1^6*y) + (6*g1^9*t^7.94)/y + (3*t^7.99)/(g1^14*y) + (g1^24*t^8.16)/y + (2*g1*t^8.22)/y + (7*g1^16*t^8.44)/y + (2*t^8.49)/(g1^7*y) + (5*g1^8*t^8.72)/y + t^8.77/(g1^15*y) - t^8.83/(g1^38*y) + (2*g1^23*t^8.95)/y - (t^4.57*y)/g1^2 - g1^3*t^6.65*y - (t^6.7*y)/g1^20 + (2*t^7.2*y)/g1^13 + g1^2*t^7.43*y + (t^7.48*y)/g1^21 + 4*g1^17*t^7.66*y + (3*t^7.71*y)/g1^6 + 6*g1^9*t^7.94*y + (3*t^7.99*y)/g1^14 + g1^24*t^8.16*y + 2*g1*t^8.22*y + 7*g1^16*t^8.44*y + (2*t^8.49*y)/g1^7 + 5*g1^8*t^8.72*y + (t^8.77*y)/g1^15 - (t^8.83*y)/g1^38 + 2*g1^23*t^8.95*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 |
|---|---|---|---|---|---|---|---|---|
| 5151 | $M_1q_1q_2$ + $ 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$ + $ M_7\phi_1q_2^2$ + $ M_3M_8$ | 0.6468 | 0.8588 | 0.7532 | [X:[], M:[0.9564, 1.1307, 0.9564, 0.8693, 0.6955, 0.6961, 0.8693, 1.0436], q:[0.7391, 0.3045], qb:[0.4782, 0.3911], phi:[0.5218]] | 3*t^2.09 + t^2.35 + 2*t^2.61 + t^2.87 + t^3.13 + t^3.39 + 2*t^3.65 + 6*t^4.17 + t^4.18 + 3*t^4.43 + t^4.44 + 4*t^4.69 + 3*t^4.7 + 5*t^4.96 + 7*t^5.22 + 5*t^5.48 + 7*t^5.74 + t^6. - t^4.57/y - t^4.57*y | detail | |
| 5158 | $M_1q_1q_2$ + $ 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$ + $ M_7\phi_1q_2^2$ + $ M_4q_1\tilde{q}_2$ | 0.6508 | 0.8655 | 0.752 | [X:[], M:[0.9565, 1.1304, 0.9565, 0.8696, 0.6957, 0.6957, 0.8696], q:[0.7391, 0.3043], qb:[0.4783, 0.3913], phi:[0.5217]] | 3*t^2.09 + t^2.35 + 2*t^2.61 + 2*t^2.87 + t^3.39 + 2*t^3.65 + 7*t^4.17 + 4*t^4.43 + 7*t^4.7 + 8*t^4.96 + 5*t^5.22 + 6*t^5.48 + 7*t^5.74 - t^4.57/y - t^4.57*y | detail | {a: 126699/194672, c: 84245/97336, M1: 22/23, M2: 26/23, M3: 22/23, M4: 20/23, M5: 16/23, M6: 16/23, M7: 20/23, q1: 17/23, q2: 7/23, qb1: 11/23, qb2: 9/23, phi1: 12/23} |
| 5153 | $M_1q_1q_2$ + $ 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$ + $ M_7\phi_1q_2^2$ + $ M_8q_1\tilde{q}_1$ | 0.6684 | 0.897 | 0.7451 | [X:[], M:[0.9548, 1.1357, 0.9548, 0.8643, 0.6935, 0.7036, 0.8643, 0.7839], q:[0.7387, 0.3065], qb:[0.4774, 0.3869], phi:[0.5226]] | 2*t^2.08 + t^2.11 + 2*t^2.35 + 2*t^2.59 + 2*t^2.86 + t^3.38 + t^3.65 + 4*t^4.16 + 2*t^4.19 + t^4.22 + 5*t^4.43 + 2*t^4.46 + 4*t^4.67 + 5*t^4.7 + 8*t^4.94 + 2*t^4.97 + 3*t^5.19 + 4*t^5.22 + 6*t^5.46 + 5*t^5.73 + 2*t^5.97 - 2*t^6. - t^4.57/y - t^4.57*y | detail | |
| 5152 | $M_1q_1q_2$ + $ 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$ + $ M_7\phi_1q_2^2$ + $ M_8q_1\tilde{q}_2$ | 0.6627 | 0.8851 | 0.7487 | [X:[], M:[0.9603, 1.1191, 0.9603, 0.8809, 0.7004, 0.6787, 0.8809, 0.8592], q:[0.7401, 0.2996], qb:[0.4801, 0.4007], phi:[0.5199]] | t^2.04 + 2*t^2.1 + t^2.34 + t^2.58 + 2*t^2.64 + 2*t^2.88 + 2*t^3.66 + t^4.07 + 2*t^4.14 + 4*t^4.2 + t^4.38 + 3*t^4.44 + t^4.61 + 5*t^4.68 + 4*t^4.74 + 3*t^4.92 + 6*t^4.98 + t^5.16 + 4*t^5.22 + 3*t^5.29 + t^5.46 + 4*t^5.52 + t^5.7 + 5*t^5.76 - 2*t^6. - t^4.56/y - t^4.56*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2908 | 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$ + $ 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 |