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 |
|---|---|---|---|---|---|---|---|---|---|
| 3816 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5q_1\tilde{q}_2$ + $ M_4M_5$ + $ M_1X_1$ + $ M_3M_6$ + $ M_7\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6056 | 0.7571 | 0.7998 | [X:[1.3448], M:[0.6552, 1.1149, 0.8084, 1.0383, 0.9617, 1.1916, 0.6724], q:[0.7787, 0.5661], qb:[0.6255, 0.2596], phi:[0.4425]] | [X:[[36]], M:[[-36], [12], [-20], [4], [-4], [20], [18]], q:[[3], [33]], qb:[[-13], [1]], phi:[[-6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_7$, $ q_2\tilde{q}_2$, $ \phi_1^2$, $ M_5$, $ M_4$, $ M_2$, $ M_6$, $ \phi_1q_2\tilde{q}_2$, $ M_7^2$, $ X_1$, $ q_1\tilde{q}_1$, $ M_7q_2\tilde{q}_2$, $ M_7\phi_1^2$, $ \phi_1q_2^2$, $ M_5M_7$, $ \phi_1q_2\tilde{q}_1$, $ q_2^2\tilde{q}_2^2$, $ M_4M_7$, $ \phi_1^2q_2\tilde{q}_2$, $ \phi_1^4$, $ M_2M_7$, $ \phi_1q_1q_2$, $ M_5q_2\tilde{q}_2$, $ M_5\phi_1^2$, $ \phi_1q_1\tilde{q}_1$, $ M_6M_7$, $ M_4q_2\tilde{q}_2$, $ M_5^2$, $ M_4\phi_1^2$, $ M_7\phi_1q_2\tilde{q}_2$ | . | -1 | t^2.02 + t^2.48 + t^2.66 + t^2.89 + t^3.11 + t^3.34 + t^3.57 + t^3.8 + 2*t^4.03 + t^4.21 + t^4.49 + t^4.67 + t^4.72 + t^4.9 + t^4.95 + 2*t^5.13 + t^5.31 + 2*t^5.36 + t^5.54 + 2*t^5.59 + t^5.77 + t^5.82 - t^6. + 3*t^6.05 - t^6.18 + 2*t^6.23 + t^6.28 - t^6.41 + t^6.46 + 2*t^6.51 - t^6.64 + 4*t^6.69 + t^6.74 + 2*t^6.92 + t^6.97 - t^7.1 + 3*t^7.15 + t^7.2 - t^7.33 + 4*t^7.38 + t^7.43 - t^7.51 + 5*t^7.61 + t^7.79 + 3*t^7.84 - t^8.02 + 5*t^8.07 - t^8.2 + 3*t^8.25 + 2*t^8.3 - t^8.48 + 4*t^8.53 + t^8.6 - 3*t^8.66 + 3*t^8.71 + 3*t^8.76 - t^8.83 - 3*t^8.89 + 3*t^8.94 + 2*t^8.99 - t^4.33/y - t^6.34/y + t^7.49/y + t^7.67/y + t^7.9/y + (2*t^8.13)/y + t^8.31/y + t^8.36/y + t^8.54/y + (2*t^8.59)/y + t^8.77/y + (2*t^8.82)/y - t^4.33*y - t^6.34*y + t^7.49*y + t^7.67*y + t^7.9*y + 2*t^8.13*y + t^8.31*y + t^8.36*y + t^8.54*y + 2*t^8.59*y + t^8.77*y + 2*t^8.82*y | g1^18*t^2.02 + g1^34*t^2.48 + t^2.66/g1^12 + t^2.89/g1^4 + g1^4*t^3.11 + g1^12*t^3.34 + g1^20*t^3.57 + g1^28*t^3.8 + 2*g1^36*t^4.03 + t^4.21/g1^10 + g1^52*t^4.49 + g1^6*t^4.67 + g1^60*t^4.72 + g1^14*t^4.9 + g1^68*t^4.95 + 2*g1^22*t^5.13 + t^5.31/g1^24 + 2*g1^30*t^5.36 + t^5.54/g1^16 + 2*g1^38*t^5.59 + t^5.77/g1^8 + g1^46*t^5.82 - t^6. + 3*g1^54*t^6.05 - t^6.18/g1^46 + 2*g1^8*t^6.23 + g1^62*t^6.28 - t^6.41/g1^38 + g1^16*t^6.46 + 2*g1^70*t^6.51 - t^6.64/g1^30 + 4*g1^24*t^6.69 + g1^78*t^6.74 + 2*g1^32*t^6.92 + g1^86*t^6.97 - t^7.1/g1^14 + 3*g1^40*t^7.15 + g1^94*t^7.2 - t^7.33/g1^6 + 4*g1^48*t^7.38 + g1^102*t^7.43 - t^7.51/g1^52 + 5*g1^56*t^7.61 + g1^10*t^7.79 + 3*g1^64*t^7.84 - g1^18*t^8.02 + 5*g1^72*t^8.07 - t^8.2/g1^28 + 3*g1^26*t^8.25 + 2*g1^80*t^8.3 - g1^34*t^8.48 + 4*g1^88*t^8.53 + t^8.6/g1^66 - (3*t^8.66)/g1^12 + 3*g1^42*t^8.71 + 3*g1^96*t^8.76 - t^8.83/g1^58 - (3*t^8.89)/g1^4 + 3*g1^50*t^8.94 + 2*g1^104*t^8.99 - t^4.33/(g1^6*y) - (g1^12*t^6.34)/y + (g1^52*t^7.49)/y + (g1^6*t^7.67)/y + (g1^14*t^7.9)/y + (2*g1^22*t^8.13)/y + t^8.31/(g1^24*y) + (g1^30*t^8.36)/y + t^8.54/(g1^16*y) + (2*g1^38*t^8.59)/y + t^8.77/(g1^8*y) + (2*g1^46*t^8.82)/y - (t^4.33*y)/g1^6 - g1^12*t^6.34*y + g1^52*t^7.49*y + g1^6*t^7.67*y + g1^14*t^7.9*y + 2*g1^22*t^8.13*y + (t^8.31*y)/g1^24 + g1^30*t^8.36*y + (t^8.54*y)/g1^16 + 2*g1^38*t^8.59*y + (t^8.77*y)/g1^8 + 2*g1^46*t^8.82*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 |
|---|---|---|---|---|---|---|---|---|
| 5413 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5q_1\tilde{q}_2$ + $ M_4M_5$ + $ M_1X_1$ + $ M_3M_6$ + $ M_7\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4M_8$ | 0.6092 | 0.7625 | 0.7989 | [X:[1.3513], M:[0.6487, 1.1171, 0.8048, 1.039, 0.961, 1.1952, 0.6756, 0.961], q:[0.7793, 0.572], qb:[0.6231, 0.2598], phi:[0.4415]] | t^2.03 + t^2.5 + t^2.65 + 2*t^2.88 + t^3.35 + t^3.59 + t^3.82 + 2*t^4.05 + t^4.21 + t^4.52 + t^4.68 + t^4.76 + 2*t^4.91 + t^4.99 + t^5.14 + t^5.3 + 3*t^5.38 + 2*t^5.53 + t^5.61 + 2*t^5.77 + t^5.85 - 2*t^6. - t^4.32/y - t^4.32*y | detail | |
| 5412 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5q_1\tilde{q}_2$ + $ M_4M_5$ + $ M_1X_1$ + $ M_3M_6$ + $ M_7\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5M_8$ | 0.602 | 0.7519 | 0.8006 | [X:[1.3384], M:[0.6616, 1.1128, 0.812, 1.0376, 0.9624, 1.188, 0.6692, 1.0376], q:[0.7782, 0.5602], qb:[0.6278, 0.2594], phi:[0.4436]] | t^2.01 + t^2.46 + t^2.66 + 2*t^3.11 + t^3.34 + t^3.56 + t^3.79 + 2*t^4.02 + t^4.22 + t^4.47 + t^4.67 + t^4.69 + t^4.92 + 3*t^5.12 + t^5.32 + t^5.35 + 3*t^5.57 + t^5.77 + t^5.8 - 2*t^6. - t^4.33/y - t^4.33*y | detail | |
| 5409 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5q_1\tilde{q}_2$ + $ M_4M_5$ + $ M_1X_1$ + $ M_3M_6$ + $ M_7\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_7\phi_1q_2\tilde{q}_2$ | 0.6039 | 0.7506 | 0.8045 | [X:[1.3913], M:[0.6087, 1.1304, 0.7826, 1.0435, 0.9565, 1.2174, 0.6957], q:[0.7826, 0.6087], qb:[0.6087, 0.2609], phi:[0.4348]] | t^2.09 + 2*t^2.61 + t^2.87 + t^3.13 + t^3.39 + t^3.65 + t^3.91 + 3*t^4.17 + 2*t^4.7 + 2*t^4.96 + 4*t^5.22 + 3*t^5.48 + 3*t^5.74 - t^6. - t^4.3/y - t^4.3*y | detail | {a: 58779/97336, c: 36531/48668, X1: 32/23, M1: 14/23, M2: 26/23, M3: 18/23, M4: 24/23, M5: 22/23, M6: 28/23, M7: 16/23, q1: 18/23, q2: 14/23, qb1: 14/23, qb2: 6/23, phi1: 10/23} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 3358 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5q_1\tilde{q}_2$ + $ M_4M_5$ + $ M_1X_1$ + $ M_3M_6$ | 0.5847 | 0.7158 | 0.8169 | [X:[1.3459], M:[0.6541, 1.1153, 0.8078, 1.0384, 0.9616, 1.1922], q:[0.7788, 0.5671], qb:[0.6251, 0.2596], phi:[0.4423]] | t^2.48 + t^2.65 + t^2.88 + t^3.12 + t^3.35 + t^3.58 + t^3.81 + t^3.98 + t^4.04 + t^4.21 + t^4.73 + t^4.96 + t^5.13 + t^5.31 + t^5.36 + t^5.54 + t^5.6 + t^5.77 - t^6. - t^4.33/y - t^4.33*y | detail |