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 |
|---|---|---|---|---|---|---|---|---|---|
| 2255 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_1q_2$ + $ M_2M_5$ + $ M_4X_1$ + $ M_6\phi_1q_2^2$ + $ M_2M_7$ | 0.6786 | 0.8465 | 0.8017 | [X:[1.3592], M:[1.0164, 1.1714, 0.9836, 0.6408, 0.8286, 0.7511, 0.8286], q:[0.7735, 0.3979], qb:[0.5857, 0.4307], phi:[0.4531]] | [X:[[6]], M:[[-22], [14], [22], [-6], [-14], [-32], [-14]], q:[[-1], [15]], qb:[[7], [-29]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_5$, $ M_7$, $ \phi_1^2$, $ M_3$, $ M_1$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ X_1$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_6^2$, $ M_5M_6$, $ M_6M_7$, $ \phi_1\tilde{q}_1^2$, $ M_5^2$, $ M_5M_7$, $ M_7^2$, $ M_6\phi_1^2$, $ M_3M_6$, $ M_5\phi_1^2$, $ M_7\phi_1^2$, $ M_1M_6$, $ M_3M_5$, $ M_3M_7$, $ \phi_1^4$, $ M_1M_5$, $ M_1M_7$, $ M_3\phi_1^2$, $ M_1\phi_1^2$, $ M_6q_1\tilde{q}_2$ | . | -2 | t^2.25 + 2*t^2.49 + t^2.72 + t^2.95 + t^3.05 + t^3.61 + t^3.84 + t^3.94 + t^4.08 + t^4.31 + t^4.41 + t^4.51 + 2*t^4.74 + t^4.87 + 4*t^4.97 + 3*t^5.2 + t^5.3 + 2*t^5.44 + t^5.53 + t^5.67 + t^5.77 + t^5.87 - 2*t^6. + 3*t^6.1 + t^6.2 - t^6.23 + 3*t^6.33 + 2*t^6.43 - t^6.47 + 2*t^6.56 + 3*t^6.66 + t^6.76 + t^6.8 + 2*t^6.89 + 3*t^6.99 + t^7.13 + 4*t^7.22 + 7*t^7.46 + 2*t^7.56 + 5*t^7.69 + 2*t^7.79 - t^7.82 + t^7.89 + 4*t^7.92 + 3*t^8.02 + t^8.12 + t^8.16 - t^8.25 + 4*t^8.35 + t^8.45 - 4*t^8.49 + 5*t^8.58 + 2*t^8.68 - 5*t^8.72 + 6*t^8.82 + 6*t^8.91 - 4*t^8.95 - t^4.36/y - t^6.61/y - t^6.84/y - t^7.08/y + t^7.64/y + (2*t^7.74)/y + t^7.87/y + (2*t^7.97)/y + t^8.11/y + (3*t^8.2)/y + t^8.3/y + (2*t^8.44)/y + (2*t^8.53)/y + t^8.67/y + t^8.77/y - t^4.36*y - t^6.61*y - t^6.84*y - t^7.08*y + t^7.64*y + 2*t^7.74*y + t^7.87*y + 2*t^7.97*y + t^8.11*y + 3*t^8.2*y + t^8.3*y + 2*t^8.44*y + 2*t^8.53*y + t^8.67*y + t^8.77*y | t^2.25/g1^32 + (2*t^2.49)/g1^14 + g1^4*t^2.72 + g1^22*t^2.95 + t^3.05/g1^22 + t^3.61/g1^30 + t^3.84/g1^12 + t^3.94/g1^56 + g1^6*t^4.08 + g1^24*t^4.31 + t^4.41/g1^20 + t^4.51/g1^64 + (2*t^4.74)/g1^46 + g1^16*t^4.87 + (4*t^4.97)/g1^28 + (3*t^5.2)/g1^10 + t^5.3/g1^54 + 2*g1^8*t^5.44 + t^5.53/g1^36 + g1^26*t^5.67 + t^5.77/g1^18 + t^5.87/g1^62 - 2*t^6. + (3*t^6.1)/g1^44 + t^6.2/g1^88 - g1^18*t^6.23 + (3*t^6.33)/g1^26 + (2*t^6.43)/g1^70 - g1^36*t^6.47 + (2*t^6.56)/g1^8 + (3*t^6.66)/g1^52 + t^6.76/g1^96 + g1^10*t^6.8 + (2*t^6.89)/g1^34 + (3*t^6.99)/g1^78 + t^7.13/g1^16 + (4*t^7.22)/g1^60 + (7*t^7.46)/g1^42 + (2*t^7.56)/g1^86 + (5*t^7.69)/g1^24 + (2*t^7.79)/g1^68 - g1^38*t^7.82 + t^7.89/g1^112 + (4*t^7.92)/g1^6 + (3*t^8.02)/g1^50 + t^8.12/g1^94 + g1^12*t^8.16 - t^8.25/g1^32 + (4*t^8.35)/g1^76 + t^8.45/g1^120 - (4*t^8.49)/g1^14 + (5*t^8.58)/g1^58 + (2*t^8.68)/g1^102 - 5*g1^4*t^8.72 + (6*t^8.82)/g1^40 + (6*t^8.91)/g1^84 - 4*g1^22*t^8.95 - (g1^2*t^4.36)/y - t^6.61/(g1^30*y) - t^6.84/(g1^12*y) - (g1^6*t^7.08)/y + t^7.64/(g1^2*y) + (2*t^7.74)/(g1^46*y) + (g1^16*t^7.87)/y + (2*t^7.97)/(g1^28*y) + (g1^34*t^8.11)/y + (3*t^8.2)/(g1^10*y) + t^8.3/(g1^54*y) + (2*g1^8*t^8.44)/y + (2*t^8.53)/(g1^36*y) + (g1^26*t^8.67)/y + t^8.77/(g1^18*y) - g1^2*t^4.36*y - (t^6.61*y)/g1^30 - (t^6.84*y)/g1^12 - g1^6*t^7.08*y + (t^7.64*y)/g1^2 + (2*t^7.74*y)/g1^46 + g1^16*t^7.87*y + (2*t^7.97*y)/g1^28 + g1^34*t^8.11*y + (3*t^8.2*y)/g1^10 + (t^8.3*y)/g1^54 + 2*g1^8*t^8.44*y + (2*t^8.53*y)/g1^36 + g1^26*t^8.67*y + (t^8.77*y)/g1^18 |
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 |
|---|---|---|---|---|---|---|---|---|
| 4257 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_1q_2$ + $ M_2M_5$ + $ M_4X_1$ + $ M_6\phi_1q_2^2$ + $ M_2M_7$ + $ M_3M_8$ | 0.6779 | 0.8484 | 0.799 | [X:[1.3638], M:[0.9995, 1.1821, 1.0005, 0.6362, 0.8179, 0.7266, 0.8179, 0.9995], q:[0.7727, 0.4094], qb:[0.5911, 0.4085], phi:[0.4546]] | t^2.18 + 2*t^2.45 + t^2.73 + 2*t^3. + t^3.54 + t^3.81 + t^3.82 + t^4.09 + 2*t^4.36 + t^4.37 + 2*t^4.63 + 5*t^4.91 + 4*t^5.18 + 3*t^5.45 + t^5.72 + 2*t^5.73 + t^5.99 + t^6. - t^4.36/y - t^4.36*y | detail | |
| 4255 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_1q_2$ + $ M_2M_5$ + $ M_4X_1$ + $ M_6\phi_1q_2^2$ + $ M_2M_7$ + $ M_5M_6$ | 0.5849 | 0.7208 | 0.8115 | [X:[1.3043], M:[1.2174, 1.0435, 0.7826, 0.6957, 0.9565, 1.0435, 0.9565], q:[0.7826, 0.2609], qb:[0.5217, 0.6957], phi:[0.4348]] | t^2.35 + t^2.61 + 2*t^2.87 + t^3.13 + 2*t^3.65 + t^3.91 + t^4.17 + 2*t^4.43 + 2*t^4.96 + 2*t^5.22 + 3*t^5.48 + 3*t^5.74 - t^4.3/y - t^4.3*y | detail | {a: 56931/97336, c: 17539/24334, X1: 30/23, M1: 28/23, M2: 24/23, M3: 18/23, M4: 16/23, M5: 22/23, M6: 24/23, M7: 22/23, q1: 18/23, q2: 6/23, qb1: 12/23, qb2: 16/23, phi1: 10/23} |
| 4254 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_1q_2$ + $ M_2M_5$ + $ M_4X_1$ + $ M_6\phi_1q_2^2$ + $ M_2M_7$ + $ M_6^2$ | 0.6089 | 0.7495 | 0.8124 | [X:[1.3125], M:[1.1875, 1.0625, 0.8125, 0.6875, 0.9375, 1.0, 0.9375], q:[0.7812, 0.2812], qb:[0.5312, 0.6562], phi:[0.4375]] | t^2.44 + t^2.62 + 2*t^2.81 + t^3. + t^3.56 + t^3.75 + t^3.94 + t^4.12 + t^4.31 + t^4.5 + t^4.88 + t^5.06 + 3*t^5.25 + 3*t^5.44 + 3*t^5.62 + t^5.81 - t^6. - t^4.31/y - t^4.31*y | detail | {a: 19953/32768, c: 24561/32768, X1: 21/16, M1: 19/16, M2: 17/16, M3: 13/16, M4: 11/16, M5: 15/16, M6: 1, M7: 15/16, q1: 25/32, q2: 9/32, qb1: 17/32, qb2: 21/32, phi1: 7/16} |
| 4258 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_1q_2$ + $ M_2M_5$ + $ M_4X_1$ + $ M_6\phi_1q_2^2$ + $ M_2M_7$ + $ M_8\phi_1\tilde{q}_2^2$ | 0.6994 | 0.8869 | 0.7886 | [X:[1.3584], M:[1.0193, 1.1695, 0.9807, 0.6416, 0.8305, 0.7554, 0.8305, 0.6781], q:[0.7736, 0.3959], qb:[0.5848, 0.4346], phi:[0.4528]] | t^2.03 + t^2.27 + 2*t^2.49 + t^2.72 + t^2.94 + t^3.06 + t^3.62 + t^3.85 + t^4.07 + t^4.08 + 2*t^4.3 + t^4.42 + 3*t^4.53 + t^4.75 + 2*t^4.76 + t^4.87 + 5*t^4.98 + t^5.09 + 3*t^5.21 + t^5.32 + 2*t^5.43 + t^5.55 + 2*t^5.66 + t^5.77 + t^5.88 + t^5.89 - 2*t^6. - t^4.36/y - t^4.36*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1198 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_1q_2$ + $ M_2M_5$ + $ M_4X_1$ + $ M_6\phi_1q_2^2$ | 0.6641 | 0.8203 | 0.8096 | [X:[1.3569], M:[1.0247, 1.1661, 0.9753, 0.6431, 0.8339, 0.7632], q:[0.7738, 0.3923], qb:[0.5831, 0.4416], phi:[0.4523]] | t^2.29 + t^2.5 + t^2.71 + t^2.93 + t^3.07 + t^3.5 + t^3.65 + t^3.86 + t^4.01 + t^4.07 + t^4.28 + t^4.43 + t^4.58 + t^4.79 + t^4.86 + 2*t^5. + 2*t^5.22 + t^5.36 + t^5.43 + t^5.64 + 2*t^5.79 + t^5.94 - t^6. - t^4.36/y - t^4.36*y | detail |