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 |
|---|---|---|---|---|---|---|---|---|---|
| 2318 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_2M_4$ + $ M_1M_3$ + $ M_3M_5$ + $ M_6\tilde{q}_1\tilde{q}_2$ + $ M_4M_7$ | 0.6995 | 0.8591 | 0.8142 | [X:[], M:[0.9785, 0.9356, 1.0215, 1.0644, 0.9785, 0.9785, 0.9356], q:[0.5751, 0.4464], qb:[0.4893, 0.5322], phi:[0.4893]] | [X:[], M:[[-2], [-6], [2], [6], [-2], [-2], [-6]], q:[[7], [-5]], qb:[[-1], [3]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_7$, $ M_1$, $ M_5$, $ M_6$, $ \phi_1^2$, $ q_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1^2$, $ M_2^2$, $ M_2M_7$, $ M_7^2$, $ M_1M_2$, $ M_2M_5$, $ M_2M_6$, $ M_1M_7$, $ M_5M_7$, $ M_6M_7$, $ M_2\phi_1^2$, $ M_7\phi_1^2$, $ M_1^2$, $ M_1M_5$, $ M_5^2$, $ M_1M_6$, $ M_5M_6$, $ M_6^2$, $ M_1\phi_1^2$, $ M_5\phi_1^2$, $ M_6\phi_1^2$, $ \phi_1^4$ | . | -4 | 2*t^2.81 + 4*t^2.94 + t^3.32 + t^4.15 + t^4.27 + 2*t^4.4 + 2*t^4.53 + 2*t^4.66 + t^4.79 + t^4.92 + 2*t^5.61 + 6*t^5.74 + 7*t^5.87 - 4*t^6. - 2*t^6.13 + 2*t^6.26 - t^6.39 + t^6.64 + 2*t^6.95 + 5*t^7.08 + 4*t^7.21 + 6*t^7.34 + 5*t^7.47 + 3*t^7.6 + t^7.73 + 2*t^7.85 + t^8.11 + t^8.24 + t^8.29 + 3*t^8.42 + 7*t^8.55 + 11*t^8.68 + 7*t^8.81 - 14*t^8.94 - t^4.47/y - t^7.27/y - (3*t^7.4)/y + (3*t^7.53)/y + t^7.66/y + t^8.61/y + (8*t^8.74)/y + (6*t^8.87)/y - t^4.47*y - t^7.27*y - 3*t^7.4*y + 3*t^7.53*y + t^7.66*y + t^8.61*y + 8*t^8.74*y + 6*t^8.87*y | (2*t^2.81)/g1^6 + (4*t^2.94)/g1^2 + g1^10*t^3.32 + t^4.15/g1^11 + t^4.27/g1^7 + (2*t^4.4)/g1^3 + 2*g1*t^4.53 + 2*g1^5*t^4.66 + g1^9*t^4.79 + g1^13*t^4.92 + (2*t^5.61)/g1^12 + (6*t^5.74)/g1^8 + (7*t^5.87)/g1^4 - 4*t^6. - 2*g1^4*t^6.13 + 2*g1^8*t^6.26 - g1^12*t^6.39 + g1^20*t^6.64 + (2*t^6.95)/g1^17 + (5*t^7.08)/g1^13 + (4*t^7.21)/g1^9 + (6*t^7.34)/g1^5 + (5*t^7.47)/g1 + 3*g1^3*t^7.6 + g1^7*t^7.73 + 2*g1^11*t^7.85 + g1^19*t^8.11 + g1^23*t^8.24 + t^8.29/g1^22 + (3*t^8.42)/g1^18 + (7*t^8.55)/g1^14 + (11*t^8.68)/g1^10 + (7*t^8.81)/g1^6 - (14*t^8.94)/g1^2 - t^4.47/(g1*y) - t^7.27/(g1^7*y) - (3*t^7.4)/(g1^3*y) + (3*g1*t^7.53)/y + (g1^5*t^7.66)/y + t^8.61/(g1^12*y) + (8*t^8.74)/(g1^8*y) + (6*t^8.87)/(g1^4*y) - (t^4.47*y)/g1 - (t^7.27*y)/g1^7 - (3*t^7.4*y)/g1^3 + 3*g1*t^7.53*y + g1^5*t^7.66*y + (t^8.61*y)/g1^12 + (8*t^8.74*y)/g1^8 + (6*t^8.87*y)/g1^4 |
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 |
|---|---|---|---|---|---|---|---|---|
| 4311 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_2M_4$ + $ M_1M_3$ + $ M_3M_5$ + $ M_6\tilde{q}_1\tilde{q}_2$ + $ M_4M_7$ + $ M_8q_1\tilde{q}_2$ | 0.7115 | 0.8827 | 0.806 | [X:[], M:[0.9681, 0.9043, 1.0319, 1.0957, 0.9681, 0.9681, 0.9043, 0.8405], q:[0.6116, 0.4203], qb:[0.4841, 0.5478], phi:[0.4841]] | t^2.52 + 2*t^2.71 + 4*t^2.9 + t^3.97 + t^4.17 + 2*t^4.36 + 2*t^4.55 + 2*t^4.74 + t^4.93 + t^5.04 + t^5.12 + 2*t^5.23 + 6*t^5.43 + 6*t^5.62 + 7*t^5.81 - 4*t^6. - t^4.45/y - t^4.45*y | detail | |
| 4309 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_2M_4$ + $ M_1M_3$ + $ M_3M_5$ + $ M_6\tilde{q}_1\tilde{q}_2$ + $ M_4M_7$ + $ \phi_1q_1^2$ | 0.6473 | 0.8156 | 0.7937 | [X:[], M:[0.9231, 0.7692, 1.0769, 1.2308, 0.9231, 0.9231, 0.7692], q:[0.7692, 0.3077], qb:[0.4615, 0.6154], phi:[0.4615]] | 2*t^2.31 + 4*t^2.77 + t^3.23 + t^3.69 + 3*t^4.15 + 4*t^4.62 + 8*t^5.08 + 10*t^5.54 + 2*t^6. - t^4.38/y - t^4.38*y | detail | {a: 22755/35152, c: 14335/17576, M1: 12/13, M2: 10/13, M3: 14/13, M4: 16/13, M5: 12/13, M6: 12/13, M7: 10/13, q1: 10/13, q2: 4/13, qb1: 6/13, qb2: 8/13, phi1: 6/13} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 1281 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_2M_4$ + $ M_1M_3$ + $ M_3M_5$ + $ M_6\tilde{q}_1\tilde{q}_2$ | 0.6946 | 0.8505 | 0.8168 | [X:[], M:[0.9864, 0.9593, 1.0136, 1.0407, 0.9864, 0.9864], q:[0.5475, 0.4661], qb:[0.4932, 0.5204], phi:[0.4932]] | t^2.88 + 4*t^2.96 + t^3.12 + t^3.2 + t^4.28 + t^4.36 + 2*t^4.44 + 2*t^4.52 + 2*t^4.6 + t^4.68 + t^4.76 + 2*t^5.84 + 7*t^5.92 - 3*t^6. - t^4.48/y - t^4.48*y | detail |