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 |
|---|---|---|---|---|---|---|---|---|---|
| 2990 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1^2$ + $ M_6\phi_1q_2^2$ | 0.6728 | 0.8554 | 0.7865 | [X:[], M:[1.1885, 0.7593, 0.8115, 1.1362, 0.8638, 0.7538], q:[0.4319, 0.3796], qb:[0.7565, 0.4842], phi:[0.4869]] | [X:[], M:[[10], [-34], [-10], [-14], [14], [40]], q:[[7], [-17]], qb:[[3], [31]], phi:[[-6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_2$, $ M_3$, $ M_5$, $ q_1\tilde{q}_2$, $ \phi_1^2$, $ M_4$, $ M_1$, $ \phi_1q_1q_2$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_6^2$, $ M_2M_6$, $ M_2^2$, $ M_3M_6$, $ M_2M_3$, $ M_5M_6$, $ M_3^2$, $ M_2M_5$, $ \phi_1q_2\tilde{q}_1$, $ M_6q_1\tilde{q}_2$, $ M_3M_5$, $ \phi_1q_1\tilde{q}_1$, $ M_5^2$, $ M_6\phi_1^2$, $ M_3q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2\phi_1^2$, $ M_5q_1\tilde{q}_2$, $ M_3\phi_1^2$, $ q_1^2\tilde{q}_2^2$, $ M_5\phi_1^2$, $ M_4M_6$, $ \phi_1^2q_1\tilde{q}_2$, $ M_1M_6$, $ M_1M_2$, $ M_3M_4$, $ \phi_1^4$ | . | -1 | t^2.26 + t^2.28 + t^2.43 + t^2.59 + t^2.75 + t^2.92 + t^3.41 + t^3.57 + t^3.9 + 2*t^4.05 + t^4.21 + t^4.37 + t^4.52 + t^4.54 + t^4.56 + t^4.7 + t^4.71 + t^4.85 + 2*t^4.87 + t^5.01 + 2*t^5.03 + 3*t^5.18 + t^5.2 + t^5.34 + t^5.36 + t^5.5 + t^5.51 + 2*t^5.67 + t^5.83 + t^5.84 - t^6. + t^6.17 + 2*t^6.31 + 3*t^6.33 + t^6.47 + 3*t^6.49 + t^6.63 + 3*t^6.64 + t^6.78 + 4*t^6.8 + t^6.82 + t^6.83 + 3*t^6.96 + 2*t^6.97 + t^6.99 + 2*t^7.11 + t^7.13 + t^7.15 + t^7.27 + 2*t^7.29 + t^7.3 + 2*t^7.44 + 3*t^7.46 + t^7.48 + t^7.6 + 3*t^7.62 + t^7.63 + t^7.76 + 3*t^7.77 + 2*t^7.79 + 4*t^7.93 + 2*t^7.95 + 2*t^8.09 + 4*t^8.1 + t^8.24 + t^8.26 - 2*t^8.28 + 3*t^8.42 - 3*t^8.43 + t^8.45 + 3*t^8.58 - t^8.59 + 2*t^8.61 + 2*t^8.73 - t^8.75 + 3*t^8.76 + t^8.89 + t^8.91 + 2*t^8.92 - t^4.46/y - t^6.72/y - t^6.74/y - t^7.38/y + (2*t^7.54)/y + t^7.7/y + t^7.71/y + t^7.85/y + t^7.87/y + t^8.01/y + (2*t^8.03)/y + (3*t^8.18)/y + (2*t^8.2)/y + t^8.34/y + t^8.36/y + t^8.51/y + (2*t^8.67)/y + t^8.69/y + t^8.83/y + (2*t^8.84)/y - t^8.98/y - t^4.46*y - t^6.72*y - t^6.74*y - t^7.38*y + 2*t^7.54*y + t^7.7*y + t^7.71*y + t^7.85*y + t^7.87*y + t^8.01*y + 2*t^8.03*y + 3*t^8.18*y + 2*t^8.2*y + t^8.34*y + t^8.36*y + t^8.51*y + 2*t^8.67*y + t^8.69*y + t^8.83*y + 2*t^8.84*y - t^8.98*y | g1^40*t^2.26 + t^2.28/g1^34 + t^2.43/g1^10 + g1^14*t^2.59 + g1^38*t^2.75 + t^2.92/g1^12 + t^3.41/g1^14 + g1^10*t^3.57 + t^3.9/g1^16 + 2*g1^8*t^4.05 + g1^32*t^4.21 + g1^56*t^4.37 + g1^80*t^4.52 + g1^6*t^4.54 + t^4.56/g1^68 + g1^30*t^4.7 + t^4.71/g1^44 + g1^54*t^4.85 + (2*t^4.87)/g1^20 + g1^78*t^5.01 + 2*g1^4*t^5.03 + 3*g1^28*t^5.18 + t^5.2/g1^46 + g1^52*t^5.34 + t^5.36/g1^22 + g1^76*t^5.5 + g1^2*t^5.51 + 2*g1^26*t^5.67 + g1^50*t^5.83 + t^5.84/g1^24 - t^6. + t^6.17/g1^50 + 2*g1^48*t^6.31 + (3*t^6.33)/g1^26 + g1^72*t^6.47 + (3*t^6.49)/g1^2 + g1^96*t^6.63 + 3*g1^22*t^6.64 + g1^120*t^6.78 + 4*g1^46*t^6.8 + t^6.82/g1^28 + t^6.83/g1^102 + 3*g1^70*t^6.96 + (2*t^6.97)/g1^4 + t^6.99/g1^78 + 2*g1^94*t^7.11 + g1^20*t^7.13 + t^7.15/g1^54 + g1^118*t^7.27 + 2*g1^44*t^7.29 + t^7.3/g1^30 + 2*g1^68*t^7.44 + (3*t^7.46)/g1^6 + t^7.48/g1^80 + g1^92*t^7.6 + 3*g1^18*t^7.62 + t^7.63/g1^56 + g1^116*t^7.76 + 3*g1^42*t^7.77 + (2*t^7.79)/g1^32 + 4*g1^66*t^7.93 + (2*t^7.95)/g1^8 + 2*g1^90*t^8.09 + 4*g1^16*t^8.1 + g1^114*t^8.24 + g1^40*t^8.26 - (2*t^8.28)/g1^34 + 3*g1^64*t^8.42 - (3*t^8.43)/g1^10 + t^8.45/g1^84 + 3*g1^88*t^8.58 - g1^14*t^8.59 + (2*t^8.61)/g1^60 + 2*g1^112*t^8.73 - g1^38*t^8.75 + (3*t^8.76)/g1^36 + g1^136*t^8.89 + g1^62*t^8.91 + (2*t^8.92)/g1^12 - t^4.46/(g1^6*y) - (g1^34*t^6.72)/y - t^6.74/(g1^40*y) - t^7.38/(g1^18*y) + (2*g1^6*t^7.54)/y + (g1^30*t^7.7)/y + t^7.71/(g1^44*y) + (g1^54*t^7.85)/y + t^7.87/(g1^20*y) + (g1^78*t^8.01)/y + (2*g1^4*t^8.03)/y + (3*g1^28*t^8.18)/y + (2*t^8.2)/(g1^46*y) + (g1^52*t^8.34)/y + t^8.36/(g1^22*y) + (g1^2*t^8.51)/y + (2*g1^26*t^8.67)/y + t^8.69/(g1^48*y) + (g1^50*t^8.83)/y + (2*t^8.84)/(g1^24*y) - (g1^74*t^8.98)/y - (t^4.46*y)/g1^6 - g1^34*t^6.72*y - (t^6.74*y)/g1^40 - (t^7.38*y)/g1^18 + 2*g1^6*t^7.54*y + g1^30*t^7.7*y + (t^7.71*y)/g1^44 + g1^54*t^7.85*y + (t^7.87*y)/g1^20 + g1^78*t^8.01*y + 2*g1^4*t^8.03*y + 3*g1^28*t^8.18*y + (2*t^8.2*y)/g1^46 + g1^52*t^8.34*y + (t^8.36*y)/g1^22 + g1^2*t^8.51*y + 2*g1^26*t^8.67*y + (t^8.69*y)/g1^48 + g1^50*t^8.83*y + (2*t^8.84*y)/g1^24 - g1^74*t^8.98*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 |
|---|---|---|---|---|---|---|---|---|
| 3603 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1^2$ + $ M_6\phi_1q_2^2$ + $ M_1M_6$ | 0.6705 | 0.8505 | 0.7884 | [X:[], M:[1.2, 0.72, 0.8, 1.12, 0.88, 0.8], q:[0.44, 0.36], qb:[0.76, 0.52], phi:[0.48]] | t^2.16 + 2*t^2.4 + t^2.64 + 2*t^2.88 + t^3.36 + t^3.6 + t^3.84 + 2*t^4.08 + 2*t^4.32 + 3*t^4.56 + 4*t^4.8 + 4*t^5.04 + 5*t^5.28 + 2*t^5.52 + 4*t^5.76 + t^6. - t^4.44/y - t^4.44*y | detail | {a: 10476/15625, c: 26577/31250, M1: 6/5, M2: 18/25, M3: 4/5, M4: 28/25, M5: 22/25, M6: 4/5, q1: 11/25, q2: 9/25, qb1: 19/25, qb2: 13/25, phi1: 12/25} |
| 3604 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1^2$ + $ M_6\phi_1q_2^2$ + $ M_6^2$ + $ M_2X_1$ | 0.5928 | 0.7335 | 0.8083 | [X:[1.45], M:[1.25, 0.55, 0.75, 1.05, 0.95, 1.0], q:[0.475, 0.275], qb:[0.775, 0.675], phi:[0.45]] | t^2.25 + t^2.7 + t^2.85 + t^3. + t^3.15 + t^3.45 + t^3.6 + t^3.75 + 2*t^4.2 + t^4.35 + t^4.5 + t^4.95 + t^5.1 + t^5.25 + t^5.4 + t^5.55 + 3*t^5.7 + 2*t^5.85 - t^4.35/y - t^4.35*y | detail | {a: 151767/256000, c: 187767/256000, X1: 29/20, M1: 5/4, M2: 11/20, M3: 3/4, M4: 21/20, M5: 19/20, M6: 1, q1: 19/40, q2: 11/40, qb1: 31/40, qb2: 27/40, phi1: 9/20} |
| 3606 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1^2$ + $ M_6\phi_1q_2^2$ + $ M_7\phi_1q_1q_2$ | 0.6934 | 0.8949 | 0.7748 | [X:[], M:[1.1877, 0.762, 0.8123, 1.1373, 0.8627, 0.7506, 0.7002], q:[0.4314, 0.381], qb:[0.7563, 0.4817], phi:[0.4874]] | t^2.1 + t^2.25 + t^2.29 + t^2.44 + t^2.59 + t^2.74 + t^2.92 + t^3.41 + t^3.56 + 2*t^4.05 + 2*t^4.2 + 2*t^4.35 + t^4.39 + t^4.5 + 2*t^4.54 + t^4.57 + 2*t^4.69 + t^4.72 + 2*t^4.84 + 2*t^4.87 + t^4.99 + 3*t^5.03 + 3*t^5.18 + t^5.21 + t^5.33 + t^5.36 + t^5.48 + 2*t^5.51 + 3*t^5.66 + t^5.81 + t^5.85 - t^6. - t^4.46/y - t^4.46*y | detail | |
| 3611 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1^2$ + $ M_6\phi_1q_2^2$ + $ q_1^2\tilde{q}_2^2$ | 0.6643 | 0.8419 | 0.789 | [X:[], M:[1.2105, 0.6842, 0.7895, 1.1053, 0.8947, 0.8421], q:[0.4474, 0.3421], qb:[0.7632, 0.5526], phi:[0.4737]] | t^2.05 + t^2.37 + t^2.53 + t^2.68 + t^2.84 + t^3. + t^3.32 + t^3.63 + t^3.79 + 3*t^4.11 + 2*t^4.42 + t^4.58 + 3*t^4.74 + 2*t^4.89 + 3*t^5.05 + 2*t^5.21 + 3*t^5.37 + 2*t^5.53 + 2*t^5.68 + 3*t^5.84 - t^4.42/y - t^4.42*y | detail | {a: 18225/27436, c: 46197/54872, M1: 23/19, M2: 13/19, M3: 15/19, M4: 21/19, M5: 17/19, M6: 16/19, q1: 17/38, q2: 13/38, qb1: 29/38, qb2: 21/38, phi1: 9/19} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 1948 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1^2$ | 0.6544 | 0.8218 | 0.7964 | [X:[], M:[1.1943, 0.7395, 0.8057, 1.128, 0.872], q:[0.436, 0.3698], qb:[0.7583, 0.5022], phi:[0.4834]] | t^2.22 + t^2.42 + t^2.62 + t^2.81 + t^2.9 + t^3.38 + t^3.58 + t^3.67 + t^3.87 + 2*t^4.07 + t^4.26 + t^4.44 + t^4.46 + t^4.64 + 2*t^4.83 + 2*t^5.03 + t^5.12 + 2*t^5.23 + t^5.32 + t^5.43 + t^5.52 + t^5.63 + t^5.72 + t^5.8 + t^5.89 - t^6. - t^4.45/y - t^4.45*y | detail |