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 |
|---|---|---|---|---|---|---|---|---|---|
| 4999 | 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_1M_3$ + $ M_3M_5$ + $ M_2\phi_1^2$ + $ M_6\phi_1^2$ + $ \phi_1q_2^2$ + $ M_7q_1\tilde{q}_2$ + $ M_8\phi_1\tilde{q}_1^2$ | 0.6837 | 0.8675 | 0.7881 | [X:[], M:[0.8233, 1.0589, 1.1767, 0.7055, 0.8233, 1.0589, 1.0583, 0.7067], q:[0.412, 0.7647], qb:[0.4114, 0.5298], phi:[0.4706]] | [X:[], M:[[-12], [4], [12], [-20], [-12], [4], [-30], [48]], q:[[11], [1]], qb:[[-23], [19]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_8$, $ M_1$, $ M_5$, $ M_7$, $ M_2$, $ M_6$, $ q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1^2$, $ M_4^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4M_8$, $ \phi_1q_1\tilde{q}_2$, $ M_8^2$, $ M_1M_4$, $ M_4M_5$, $ M_1M_8$, $ M_5M_8$, $ \phi_1\tilde{q}_2^2$, $ M_1^2$, $ M_1M_5$, $ M_5^2$, $ \phi_1q_2\tilde{q}_1$, $ M_4M_7$, $ M_2M_4$, $ M_4M_6$, $ M_7M_8$, $ \phi_1q_2\tilde{q}_2$, $ M_2M_8$, $ M_6M_8$, $ M_1M_7$, $ M_5M_7$, $ M_4q_2\tilde{q}_1$, $ M_1M_2$, $ M_2M_5$, $ M_1M_6$, $ M_5M_6$, $ M_8q_2\tilde{q}_1$ | $M_4\phi_1q_1^2$, $ M_8\phi_1q_1^2$, $ M_4\phi_1q_1\tilde{q}_1$, $ M_8\phi_1q_1\tilde{q}_1$, $ M_5q_2\tilde{q}_1$ | 1 | 2*t^2.12 + 2*t^2.47 + t^3.17 + 2*t^3.18 + t^3.53 + 2*t^3.88 + 2*t^4.23 + 3*t^4.24 + 5*t^4.59 + 3*t^4.94 + 3*t^5.29 + 3*t^5.3 + 2*t^5.64 + 4*t^5.65 + t^6. + 10*t^6.35 + 3*t^6.36 + 5*t^6.7 + 6*t^6.71 + 7*t^7.06 + 10*t^7.41 + 3*t^7.42 + 5*t^7.76 + 6*t^7.77 + 3*t^8.11 + t^8.12 + 12*t^8.47 + 3*t^8.48 + 14*t^8.82 + 8*t^8.83 - t^4.41/y - (2*t^6.53)/y - t^6.88/y + t^7.23/y + (2*t^7.24)/y + (2*t^7.59)/y + (2*t^7.94)/y + (4*t^8.29)/y + (4*t^8.3)/y + (2*t^8.64)/y + (3*t^8.65)/y - t^4.41*y - 2*t^6.53*y - t^6.88*y + t^7.23*y + 2*t^7.24*y + 2*t^7.59*y + 2*t^7.94*y + 4*t^8.29*y + 4*t^8.3*y + 2*t^8.64*y + 3*t^8.65*y | t^2.12/g1^20 + g1^48*t^2.12 + (2*t^2.47)/g1^12 + t^3.17/g1^30 + 2*g1^4*t^3.18 + t^3.53/g1^22 + t^3.88/g1^14 + g1^20*t^3.88 + t^4.23/g1^40 + t^4.23/g1^6 + 2*g1^28*t^4.24 + g1^96*t^4.24 + (2*t^4.59)/g1^32 + 3*g1^36*t^4.59 + (3*t^4.94)/g1^24 + t^5.29/g1^50 + (2*t^5.29)/g1^16 + g1^18*t^5.3 + 2*g1^52*t^5.3 + (2*t^5.64)/g1^42 + (3*t^5.65)/g1^8 + g1^26*t^5.65 - 2*t^6. + (2*t^6.)/g1^34 + g1^68*t^6. + (2*t^6.35)/g1^60 + (4*t^6.35)/g1^26 + 4*g1^8*t^6.35 + 2*g1^76*t^6.36 + g1^144*t^6.36 + (3*t^6.7)/g1^52 + (2*t^6.7)/g1^18 + 3*g1^16*t^6.71 + 3*g1^84*t^6.71 + (3*t^7.06)/g1^44 + 4*g1^24*t^7.06 + t^7.41/g1^70 + (6*t^7.41)/g1^36 + t^7.41/g1^2 + 2*g1^32*t^7.41 + g1^66*t^7.42 + 2*g1^100*t^7.42 + (2*t^7.76)/g1^62 + (3*t^7.76)/g1^28 + 2*g1^6*t^7.77 + 3*g1^40*t^7.77 + g1^74*t^7.77 + (3*t^8.11)/g1^54 + t^8.12/g1^20 + g1^14*t^8.12 - 2*g1^48*t^8.12 + g1^116*t^8.12 + (2*t^8.47)/g1^80 + (5*t^8.47)/g1^46 - t^8.47/g1^12 + g1^22*t^8.47 + 5*g1^56*t^8.47 + 2*g1^124*t^8.48 + g1^192*t^8.48 + (4*t^8.82)/g1^72 + (5*t^8.82)/g1^38 + (5*t^8.82)/g1^4 + g1^30*t^8.83 + 4*g1^64*t^8.83 + 3*g1^132*t^8.83 - t^4.41/(g1^2*y) - t^6.53/(g1^22*y) - (g1^46*t^6.53)/y - t^6.88/(g1^14*y) + t^7.23/(g1^6*y) + (2*g1^28*t^7.24)/y + t^7.59/(g1^32*y) - (g1^2*t^7.59)/y + (2*g1^36*t^7.59)/y + t^7.94/(g1^24*y) + (g1^10*t^7.94)/y + (2*t^8.29)/(g1^50*y) + (2*t^8.29)/(g1^16*y) + (2*g1^18*t^8.3)/y + (2*g1^52*t^8.3)/y + (2*t^8.64)/(g1^42*y) + (4*t^8.65)/(g1^8*y) - (g1^94*t^8.65)/y - (t^4.41*y)/g1^2 - (t^6.53*y)/g1^22 - g1^46*t^6.53*y - (t^6.88*y)/g1^14 + (t^7.23*y)/g1^6 + 2*g1^28*t^7.24*y + (t^7.59*y)/g1^32 - g1^2*t^7.59*y + 2*g1^36*t^7.59*y + (t^7.94*y)/g1^24 + g1^10*t^7.94*y + (2*t^8.29*y)/g1^50 + (2*t^8.29*y)/g1^16 + 2*g1^18*t^8.3*y + 2*g1^52*t^8.3*y + (2*t^8.64*y)/g1^42 + (4*t^8.65*y)/g1^8 - g1^94*t^8.65*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 |
|---|---|---|---|---|---|---|---|---|
| 6586 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ M_2\phi_1^2$ + $ M_6\phi_1^2$ + $ \phi_1q_2^2$ + $ M_7q_1\tilde{q}_2$ + $ M_8\phi_1\tilde{q}_1^2$ + $ M_8^2$ + $ M_4X_1$ | 0.6101 | 0.7664 | 0.7961 | [X:[1.4167], M:[0.75, 1.0833, 1.25, 0.5833, 0.75, 1.0833, 0.875, 1.0], q:[0.4792, 0.7708], qb:[0.2708, 0.6458], phi:[0.4583]] | 2*t^2.25 + t^2.62 + t^3. + t^3.12 + 2*t^3.25 + t^3.62 + t^4.12 + 2*t^4.25 + 3*t^4.5 + t^4.75 + t^4.88 + 4*t^5.25 + t^5.38 + 3*t^5.5 + t^5.62 + t^5.75 + 3*t^5.88 - 2*t^6. - t^4.38/y - t^4.38*y | detail | {a: 2499/4096, c: 3139/4096, X1: 17/12, M1: 3/4, M2: 13/12, M3: 5/4, M4: 7/12, M5: 3/4, M6: 13/12, M7: 7/8, M8: 1, q1: 23/48, q2: 37/48, qb1: 13/48, qb2: 31/48, phi1: 11/24} |
| 6574 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ M_2\phi_1^2$ + $ M_6\phi_1^2$ + $ \phi_1q_2^2$ + $ M_7q_1\tilde{q}_2$ + $ M_8\phi_1\tilde{q}_1^2$ + $ M_9\phi_1q_1\tilde{q}_1$ | 0.7041 | 0.9064 | 0.7768 | [X:[], M:[0.8244, 1.0585, 1.1756, 0.7073, 0.8244, 1.0585, 1.061, 0.7025, 0.7049], q:[0.411, 0.7646], qb:[0.4134, 0.5281], phi:[0.4707]] | 2*t^2.11 + t^2.12 + 2*t^2.47 + 3*t^3.18 + t^3.53 + t^3.88 + t^4.21 + t^4.22 + 3*t^4.23 + 3*t^4.24 + 3*t^4.58 + 2*t^4.59 + 2*t^4.6 + 3*t^4.95 + 2*t^5.28 + 3*t^5.29 + 4*t^5.3 + t^5.64 + 4*t^5.65 + 2*t^5.66 + t^5.99 - 2*t^6. - t^4.41/y - t^4.41*y | detail | |
| 6573 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ M_2\phi_1^2$ + $ M_6\phi_1^2$ + $ \phi_1q_2^2$ + $ M_7q_1\tilde{q}_2$ + $ M_8\phi_1\tilde{q}_1^2$ + $ M_9\phi_1q_1^2$ | 0.7041 | 0.9065 | 0.7768 | [X:[], M:[0.8218, 1.0594, 1.1782, 0.7031, 0.8218, 1.0594, 1.0546, 0.7126, 0.7031], q:[0.4133, 0.7648], qb:[0.4085, 0.5321], phi:[0.4703]] | 2*t^2.11 + t^2.14 + 2*t^2.47 + t^3.16 + 2*t^3.18 + t^3.52 + t^3.88 + 3*t^4.22 + t^4.23 + 3*t^4.25 + t^4.28 + 4*t^4.57 + 3*t^4.6 + 3*t^4.93 + 2*t^5.27 + 4*t^5.29 + t^5.3 + 2*t^5.32 + 3*t^5.63 + 3*t^5.64 + t^5.66 + 3*t^5.99 - 3*t^6. - t^4.41/y - t^4.41*y | detail | {a: 111092477/157774512, c: 71508797/78887256, M1: 1490/1813, M2: 5762/5439, M3: 2136/1813, M4: 3824/5439, M5: 1490/1813, M6: 5762/5439, M7: 1912/1813, M8: 1292/1813, M9: 3824/5439, q1: 2248/5439, q2: 4160/5439, qb1: 2222/5439, qb2: 2894/5439, phi1: 2558/5439} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 3131 | 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_1M_3$ + $ M_3M_5$ + $ M_2\phi_1^2$ + $ M_6\phi_1^2$ + $ \phi_1q_2^2$ + $ M_7q_1\tilde{q}_2$ | 0.6635 | 0.8304 | 0.7991 | [X:[], M:[0.8173, 1.0609, 1.1827, 0.6956, 0.8173, 1.0609, 1.0434], q:[0.4174, 0.7652], qb:[0.3999, 0.5392], phi:[0.4696]] | t^2.09 + 2*t^2.45 + t^3.13 + 2*t^3.18 + t^3.5 + t^3.81 + t^3.86 + t^3.91 + t^4.17 + t^4.23 + t^4.28 + 2*t^4.54 + t^4.64 + 3*t^4.9 + t^5.22 + 2*t^5.27 + 2*t^5.58 + 3*t^5.63 + t^5.89 + 2*t^5.95 - 2*t^6. - t^4.41/y - t^4.41*y | detail |