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 |
|---|---|---|---|---|---|---|---|---|---|
| 51684 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_2$ + $ M_1X_1$ + $ M_5\phi_1\tilde{q}_1^2$ + $ M_6q_1\tilde{q}_1$ | 0.6587 | 0.832 | 0.7917 | [X:[1.5568], M:[0.4432, 1.1856, 0.7784, 0.8863, 0.6705, 0.7424], q:[0.7964, 0.7604], qb:[0.4612, 0.3532], phi:[0.4072]] | [X:[[12]], M:[[-12], [4], [6], [-24], [36], [16]], q:[[1], [11]], qb:[[-17], [13]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_6$, $ M_3$, $ \phi_1^2$, $ M_4$, $ q_2\tilde{q}_2$, $ q_1\tilde{q}_2$, $ M_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_5^2$, $ M_5M_6$, $ M_3M_5$, $ M_6^2$, $ M_5\phi_1^2$, $ M_3M_6$, $ \phi_1q_2\tilde{q}_2$, $ M_3^2$, $ M_4M_5$, $ M_6\phi_1^2$, $ \phi_1q_1\tilde{q}_2$, $ X_1$, $ M_4M_6$, $ \phi_1^4$, $ \phi_1q_2\tilde{q}_1$, $ M_3M_4$, $ \phi_1q_1\tilde{q}_1$, $ M_4^2$, $ M_5q_2\tilde{q}_2$, $ M_5q_1\tilde{q}_2$, $ M_2M_5$, $ M_6q_2\tilde{q}_2$, $ M_6q_1\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ M_5\phi_1\tilde{q}_1\tilde{q}_2$, $ M_2M_6$, $ \phi_1q_2^2$, $ M_3q_1\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_2M_3$, $ \phi_1q_1q_2$, $ \phi_1^2q_1\tilde{q}_2$, $ M_6\phi_1\tilde{q}_1\tilde{q}_2$ | $M_3\phi_1\tilde{q}_1\tilde{q}_2$ | -1 | t^2.01 + t^2.23 + t^2.34 + t^2.44 + t^2.66 + t^3.34 + t^3.45 + t^3.56 + t^3.66 + t^4.02 + t^4.24 + t^4.35 + 2*t^4.45 + 2*t^4.56 + 4*t^4.67 + 3*t^4.89 + t^4.99 + t^5.32 + t^5.35 + t^5.46 + 2*t^5.57 + 2*t^5.68 + 4*t^5.78 + 2*t^5.89 - t^6. + t^6.03 + t^6.11 + t^6.25 - t^6.32 + t^6.36 + 2*t^6.47 + 2*t^6.57 + 6*t^6.68 + 3*t^6.79 + 6*t^6.9 + 4*t^7.01 + 3*t^7.11 + 3*t^7.33 + t^7.36 - t^7.44 + t^7.47 + 2*t^7.58 + t^7.65 + 2*t^7.69 + 5*t^7.8 + 4*t^7.9 + t^7.98 + 4*t^8.01 + t^8.05 + 4*t^8.12 + t^8.23 + t^8.26 - 2*t^8.34 + t^8.37 - 2*t^8.44 + 2*t^8.48 - t^8.55 + 2*t^8.59 - 5*t^8.66 + 6*t^8.69 - t^8.77 + 3*t^8.8 + 8*t^8.91 - t^8.98 - t^4.22/y - t^6.23/y - t^6.45/y - t^6.56/y - t^6.88/y + t^7.24/y + t^7.35/y + t^7.45/y + (2*t^7.56)/y + (2*t^7.67)/y + t^7.78/y + (2*t^7.89)/y + (2*t^7.99)/y + t^8.1/y + t^8.21/y - t^8.24/y + t^8.35/y + t^8.57/y + (2*t^8.68)/y + (2*t^8.78)/y + t^8.89/y - t^4.22*y - t^6.23*y - t^6.45*y - t^6.56*y - t^6.88*y + t^7.24*y + t^7.35*y + t^7.45*y + 2*t^7.56*y + 2*t^7.67*y + t^7.78*y + 2*t^7.89*y + 2*t^7.99*y + t^8.1*y + t^8.21*y - t^8.24*y + t^8.35*y + t^8.57*y + 2*t^8.68*y + 2*t^8.78*y + t^8.89*y | g1^36*t^2.01 + g1^16*t^2.23 + g1^6*t^2.34 + t^2.44/g1^4 + t^2.66/g1^24 + g1^24*t^3.34 + g1^14*t^3.45 + g1^4*t^3.56 + t^3.66/g1^6 + g1^72*t^4.02 + g1^52*t^4.24 + g1^42*t^4.35 + 2*g1^32*t^4.45 + 2*g1^22*t^4.56 + 4*g1^12*t^4.67 + (3*t^4.89)/g1^8 + t^4.99/g1^18 + t^5.32/g1^48 + g1^60*t^5.35 + g1^50*t^5.46 + 2*g1^40*t^5.57 + 2*g1^30*t^5.68 + 4*g1^20*t^5.78 + 2*g1^10*t^5.89 - t^6. + g1^108*t^6.03 + t^6.11/g1^10 + g1^88*t^6.25 - t^6.32/g1^30 + g1^78*t^6.36 + 2*g1^68*t^6.47 + 2*g1^58*t^6.57 + 6*g1^48*t^6.68 + 3*g1^38*t^6.79 + 6*g1^28*t^6.9 + 4*g1^18*t^7.01 + 3*g1^8*t^7.11 + (3*t^7.33)/g1^12 + g1^96*t^7.36 - t^7.44/g1^22 + g1^86*t^7.47 + 2*g1^76*t^7.58 + t^7.65/g1^42 + 2*g1^66*t^7.69 + 5*g1^56*t^7.8 + 4*g1^46*t^7.9 + t^7.98/g1^72 + 4*g1^36*t^8.01 + g1^144*t^8.05 + 4*g1^26*t^8.12 + g1^16*t^8.23 + g1^124*t^8.26 - 2*g1^6*t^8.34 + g1^114*t^8.37 - (2*t^8.44)/g1^4 + 2*g1^104*t^8.48 - t^8.55/g1^14 + 2*g1^94*t^8.59 - (5*t^8.66)/g1^24 + 6*g1^84*t^8.69 - t^8.77/g1^34 + 3*g1^74*t^8.8 + 8*g1^64*t^8.91 - t^8.98/g1^54 - t^4.22/(g1^2*y) - (g1^34*t^6.23)/y - (g1^14*t^6.45)/y - (g1^4*t^6.56)/y - t^6.88/(g1^26*y) + (g1^52*t^7.24)/y + (g1^42*t^7.35)/y + (g1^32*t^7.45)/y + (2*g1^22*t^7.56)/y + (2*g1^12*t^7.67)/y + (g1^2*t^7.78)/y + (2*t^7.89)/(g1^8*y) + (2*t^7.99)/(g1^18*y) + t^8.1/(g1^28*y) + t^8.21/(g1^38*y) - (g1^70*t^8.24)/y + (g1^60*t^8.35)/y + (g1^40*t^8.57)/y + (2*g1^30*t^8.68)/y + (2*g1^20*t^8.78)/y + (g1^10*t^8.89)/y - (t^4.22*y)/g1^2 - g1^34*t^6.23*y - g1^14*t^6.45*y - g1^4*t^6.56*y - (t^6.88*y)/g1^26 + g1^52*t^7.24*y + g1^42*t^7.35*y + g1^32*t^7.45*y + 2*g1^22*t^7.56*y + 2*g1^12*t^7.67*y + g1^2*t^7.78*y + (2*t^7.89*y)/g1^8 + (2*t^7.99*y)/g1^18 + (t^8.1*y)/g1^28 + (t^8.21*y)/g1^38 - g1^70*t^8.24*y + g1^60*t^8.35*y + g1^40*t^8.57*y + 2*g1^30*t^8.68*y + 2*g1^20*t^8.78*y + g1^10*t^8.89*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 |
|---|---|---|---|---|---|---|---|---|
| 56298 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_2$ + $ M_1X_1$ + $ M_5\phi_1\tilde{q}_1^2$ + $ M_6q_1\tilde{q}_1$ + $ M_2M_7$ | 0.6743 | 0.8589 | 0.7851 | [X:[1.5584], M:[0.4416, 1.1861, 0.7792, 0.8832, 0.6753, 0.7446, 0.8139], q:[0.7965, 0.7619], qb:[0.4589, 0.355], phi:[0.4069]] | t^2.03 + t^2.23 + t^2.34 + 2*t^2.44 + t^2.65 + t^3.35 + t^3.45 + t^3.66 + t^4.05 + t^4.26 + t^4.36 + 3*t^4.47 + 2*t^4.57 + 5*t^4.68 + t^4.78 + 5*t^4.88 + t^4.99 + t^5.09 + t^5.3 + t^5.38 + t^5.48 + t^5.58 + 2*t^5.69 + 4*t^5.79 + 2*t^5.9 - 2*t^6. - t^4.22/y - t^4.22*y | detail | |
| 56278 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_2$ + $ M_1X_1$ + $ M_5\phi_1\tilde{q}_1^2$ + $ M_6q_1\tilde{q}_1$ + $ M_3M_5$ + $ M_4X_2$ | 0.4942 | 0.6013 | 0.8218 | [X:[1.7143, 1.4286], M:[0.2857, 1.2381, 0.8571, 0.5714, 1.1429, 0.9524], q:[0.8095, 0.9048], qb:[0.2381, 0.5238], phi:[0.381]] | t^2.29 + t^2.57 + t^2.86 + 2*t^3.43 + t^3.71 + 2*t^4.29 + 2*t^4.57 + t^5.14 + t^5.43 + 2*t^5.71 - t^6. - t^4.14/y - t^4.14*y | detail | {a: 339/686, c: 825/1372, X1: 12/7, X2: 10/7, M1: 2/7, M2: 26/21, M3: 6/7, M4: 4/7, M5: 8/7, M6: 20/21, q1: 17/21, q2: 19/21, qb1: 5/21, qb2: 11/21, phi1: 8/21} |
| 56277 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_2$ + $ M_1X_1$ + $ M_5\phi_1\tilde{q}_1^2$ + $ M_6q_1\tilde{q}_1$ + $ M_5M_6$ + $ M_4X_2$ | 0.5279 | 0.6433 | 0.8206 | [X:[1.6923, 1.3846], M:[0.3077, 1.2308, 0.8462, 0.6154, 1.0769, 0.9231], q:[0.8077, 0.8846], qb:[0.2692, 0.5], phi:[0.3846]] | t^2.31 + t^2.54 + t^2.77 + t^3.23 + t^3.46 + t^3.69 + t^3.92 + t^4.15 + 2*t^4.62 + 3*t^5.08 + t^5.54 + t^5.77 - t^6. - t^4.15/y - t^4.15*y | detail | {a: 9279/17576, c: 11307/17576, X1: 22/13, X2: 18/13, M1: 4/13, M2: 16/13, M3: 11/13, M4: 8/13, M5: 14/13, M6: 12/13, q1: 21/26, q2: 23/26, qb1: 7/26, qb2: 1/2, phi1: 5/13} |
| 56297 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_2$ + $ M_1X_1$ + $ M_5\phi_1\tilde{q}_1^2$ + $ M_6q_1\tilde{q}_1$ + $ M_7q_1\tilde{q}_2$ | 0.6721 | 0.8536 | 0.7873 | [X:[1.5631], M:[0.4369, 1.1877, 0.7816, 0.8737, 0.6894, 0.7509, 0.843], q:[0.7969, 0.7662], qb:[0.4522, 0.3601], phi:[0.4061]] | t^2.07 + t^2.25 + t^2.34 + t^2.44 + t^2.53 + t^2.62 + t^3.38 + t^3.56 + t^3.66 + t^4.14 + t^4.32 + t^4.41 + 2*t^4.51 + 3*t^4.6 + 4*t^4.69 + t^4.78 + 4*t^4.87 + 2*t^4.97 + t^5.06 + t^5.15 + t^5.24 + t^5.45 + 2*t^5.63 + t^5.72 + 3*t^5.82 + 2*t^5.91 - t^6. - t^4.22/y - t^4.22*y | detail | |
| 56296 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_2$ + $ M_1X_1$ + $ M_5\phi_1\tilde{q}_1^2$ + $ M_6q_1\tilde{q}_1$ + $ M_7q_2\tilde{q}_2$ | 0.6699 | 0.8489 | 0.7892 | [X:[1.5685], M:[0.4315, 1.1895, 0.7842, 0.8631, 0.7054, 0.758, 0.8631], q:[0.7974, 0.7711], qb:[0.4447, 0.3658], phi:[0.4053]] | t^2.12 + t^2.27 + t^2.35 + t^2.43 + 2*t^2.59 + t^3.49 + t^3.57 + t^3.65 + t^4.23 + t^4.39 + t^4.47 + 2*t^4.55 + 2*t^4.63 + 5*t^4.71 + 4*t^4.86 + 2*t^4.94 + t^5.02 + 3*t^5.18 + t^5.61 + t^5.68 + t^5.76 + 3*t^5.84 + 2*t^5.92 - 2*t^6. - t^4.22/y - t^4.22*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 |
|---|---|---|---|---|---|---|---|---|---|
| 48300 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_2$ + $ M_1X_1$ + $ M_5\phi_1\tilde{q}_1^2$ | 0.6395 | 0.796 | 0.8033 | [X:[1.5608], M:[0.4392, 1.1869, 0.7804, 0.8784, 0.6823], q:[0.7967, 0.7641], qb:[0.4556, 0.3575], phi:[0.4065]] | t^2.05 + t^2.34 + t^2.44 + t^2.64 + t^3.36 + t^3.46 + t^3.56 + t^3.66 + t^3.76 + t^4.09 + t^4.39 + t^4.49 + t^4.58 + 3*t^4.68 + 2*t^4.88 + t^4.98 + t^5.27 + t^5.41 + t^5.51 + t^5.61 + t^5.71 + 4*t^5.8 + t^5.9 - t^6. - t^4.22/y - t^4.22*y | detail |