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 |
|---|---|---|---|---|---|---|---|---|---|
| 46963 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_2M_4$ + $ M_5\tilde{q}_1\tilde{q}_2$ | 0.648 | 0.7954 | 0.8147 | [X:[], M:[0.931, 1.1448, 1.0943, 0.8552, 0.8805], q:[0.5093, 0.5598], qb:[0.346, 0.7736], phi:[0.4529]] | [X:[], M:[[-10], [-8], [4], [8], [2]], q:[[11], [-1]], qb:[[-3], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_5$, $ \phi_1^2$, $ M_1$, $ M_3$, $ M_2$, $ q_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ q_2\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_2^2$, $ M_4^2$, $ M_4M_5$, $ M_5^2$, $ M_4\phi_1^2$, $ M_1M_4$, $ M_5\phi_1^2$, $ M_1M_5$, $ \phi_1^4$, $ M_1^2$, $ M_3M_5$ | . | -1 | t^2.57 + t^2.64 + t^2.72 + t^2.79 + t^3.28 + t^3.43 + t^3.85 + t^3.92 + t^4. + t^4.08 + t^4.41 + t^4.57 + t^4.72 + t^5.13 + t^5.21 + 2*t^5.28 + t^5.36 + 2*t^5.43 + t^5.59 + t^5.92 - t^6. + t^6.08 + t^6.23 + t^6.41 + t^6.49 + 2*t^6.57 + t^6.64 + t^6.72 + t^6.79 + t^6.87 + t^6.98 + t^7.06 + 2*t^7.13 + t^7.21 + t^7.28 + t^7.36 + t^7.43 + t^7.51 + 2*t^7.7 + t^7.77 + 3*t^7.85 + 2*t^7.92 + 2*t^8. + t^8.08 + 2*t^8.15 + t^8.23 + t^8.26 + t^8.34 + t^8.38 + t^8.41 - 2*t^8.64 - 2*t^8.79 + t^8.83 + t^8.87 + 2*t^8.98 - t^4.36/y - t^7./y - t^7.15/y + t^7.57/y + t^7.72/y + t^8.21/y + t^8.28/y + (2*t^8.36)/y + t^8.43/y + t^8.51/y + t^8.85/y + t^8.92/y - t^4.36*y - t^7.*y - t^7.15*y + t^7.57*y + t^7.72*y + t^8.21*y + t^8.28*y + 2*t^8.36*y + t^8.43*y + t^8.51*y + t^8.85*y + t^8.92*y | g1^8*t^2.57 + g1^2*t^2.64 + t^2.72/g1^4 + t^2.79/g1^10 + g1^4*t^3.28 + t^3.43/g1^8 + g1^12*t^3.85 + g1^6*t^3.92 + t^4. + t^4.08/g1^6 + g1^20*t^4.41 + g1^8*t^4.57 + t^4.72/g1^4 + g1^16*t^5.13 + g1^10*t^5.21 + 2*g1^4*t^5.28 + t^5.36/g1^2 + (2*t^5.43)/g1^8 + t^5.59/g1^20 + g1^6*t^5.92 - t^6. + t^6.08/g1^6 + t^6.23/g1^18 + g1^20*t^6.41 + g1^14*t^6.49 + 2*g1^8*t^6.57 + g1^2*t^6.64 + t^6.72/g1^4 + t^6.79/g1^10 + t^6.87/g1^16 + g1^28*t^6.98 + g1^22*t^7.06 + 2*g1^16*t^7.13 + g1^10*t^7.21 + g1^4*t^7.28 + t^7.36/g1^2 + t^7.43/g1^8 + t^7.51/g1^14 + 2*g1^24*t^7.7 + g1^18*t^7.77 + 3*g1^12*t^7.85 + 2*g1^6*t^7.92 + 2*t^8. + t^8.08/g1^6 + (2*t^8.15)/g1^12 + t^8.23/g1^18 + g1^32*t^8.26 + g1^26*t^8.34 + t^8.38/g1^30 + g1^20*t^8.41 - 2*g1^2*t^8.64 - (2*t^8.79)/g1^10 + g1^40*t^8.83 + t^8.87/g1^16 + 2*g1^28*t^8.98 - t^4.36/(g1^2*y) - t^7./y - t^7.15/(g1^12*y) + (g1^8*t^7.57)/y + t^7.72/(g1^4*y) + (g1^10*t^8.21)/y + (g1^4*t^8.28)/y + (2*t^8.36)/(g1^2*y) + t^8.43/(g1^8*y) + t^8.51/(g1^14*y) + (g1^12*t^8.85)/y + (g1^6*t^8.92)/y - (t^4.36*y)/g1^2 - t^7.*y - (t^7.15*y)/g1^12 + g1^8*t^7.57*y + (t^7.72*y)/g1^4 + g1^10*t^8.21*y + g1^4*t^8.28*y + (2*t^8.36*y)/g1^2 + (t^8.43*y)/g1^8 + (t^8.51*y)/g1^14 + g1^12*t^8.85*y + g1^6*t^8.92*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 |
|---|---|---|---|---|---|---|---|---|
| 55239 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_2M_4$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ M_2M_6$ | 0.6614 | 0.8199 | 0.8067 | [X:[], M:[0.9541, 1.1633, 1.085, 0.8367, 0.8759, 0.8367], q:[0.4838, 0.5621], qb:[0.3529, 0.7713], phi:[0.4575]] | 2*t^2.51 + t^2.63 + t^2.74 + t^2.86 + t^3.26 + t^3.77 + t^3.88 + t^4. + t^4.12 + t^4.28 + t^4.51 + t^4.74 + 3*t^5.02 + 2*t^5.14 + 3*t^5.26 + 2*t^5.37 + 2*t^5.49 + t^5.72 + t^5.77 + t^5.88 - 2*t^6. - t^4.37/y - t^4.37*y | detail | |
| 55246 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_2M_4$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ M_4^2$ | 0.6108 | 0.7515 | 0.8129 | [X:[], M:[0.75, 1.0, 1.1667, 1.0, 0.9167], q:[0.7083, 0.5417], qb:[0.2917, 0.7917], phi:[0.4167]] | t^2.25 + t^2.5 + t^2.75 + 2*t^3. + t^3.5 + t^3.75 + t^4. + t^4.25 + 3*t^4.5 + 3*t^5. + 2*t^5.25 + 3*t^5.5 + 2*t^5.75 + t^6. - t^4.25/y - t^4.25*y | detail | {a: 1251/2048, c: 1539/2048, M1: 3/4, M2: 1, M3: 7/6, M4: 1, M5: 11/12, q1: 17/24, q2: 13/24, qb1: 7/24, qb2: 19/24, phi1: 5/12} |
| 55375 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_2M_4$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ M_6\phi_1q_1\tilde{q}_1$ | 0.6686 | 0.8353 | 0.8005 | [X:[], M:[0.9278, 1.1423, 1.0955, 0.8577, 0.8811, 0.69], q:[0.5127, 0.5595], qb:[0.345, 0.7739], phi:[0.4522]] | t^2.07 + t^2.57 + t^2.64 + t^2.71 + t^2.78 + t^3.29 + t^3.43 + t^3.86 + t^4. + t^4.07 + t^4.14 + t^4.43 + t^4.57 + t^4.64 + 2*t^4.71 + t^4.78 + t^4.85 + t^5.15 + t^5.22 + 2*t^5.29 + 2*t^5.36 + 2*t^5.43 + t^5.5 + t^5.57 + 2*t^5.93 - t^6. - t^4.36/y - t^4.36*y | detail | |
| 55342 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_2M_4$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ M_6q_1\tilde{q}_2$ | 0.6683 | 0.8337 | 0.8015 | [X:[], M:[0.9209, 1.1367, 1.0983, 0.8633, 0.8825, 0.7051], q:[0.5204, 0.5588], qb:[0.3429, 0.7746], phi:[0.4508]] | t^2.12 + t^2.59 + t^2.65 + t^2.71 + t^2.76 + t^3.29 + t^3.41 + t^3.94 + t^4. + t^4.06 + t^4.23 + t^4.47 + t^4.59 + 2*t^4.71 + t^4.76 + t^4.82 + t^4.88 + t^5.18 + t^5.24 + 2*t^5.29 + t^5.35 + 3*t^5.41 + 2*t^5.53 + t^5.94 - t^6. - t^4.35/y - t^4.35*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46699 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_2M_4$ | 0.6373 | 0.7771 | 0.8201 | [X:[], M:[0.9242, 1.1394, 1.097, 0.8606], q:[0.5167, 0.5591], qb:[0.3439, 0.7742], phi:[0.4515]] | t^2.58 + t^2.71 + t^2.77 + t^3.29 + t^3.35 + t^3.42 + t^3.87 + t^3.94 + t^4. + t^4.06 + t^4.45 + t^4.58 + t^4.71 + t^5.16 + t^5.29 + t^5.42 + t^5.55 + t^5.94 - t^6. - t^4.35/y - t^4.35*y | detail |