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 |
|---|---|---|---|---|---|---|---|---|---|
| 55420 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1\phi_1^2$ + $ M_1M_5$ + $ \phi_1\tilde{q}_1^2$ + $ M_4M_5$ + $ M_6q_1\tilde{q}_2$ | 0.6882 | 0.8597 | 0.8005 | [X:[], M:[1.0931, 0.7208, 0.7208, 1.0931, 0.9069, 0.9881], q:[0.506, 0.401], qb:[0.7733, 0.506], phi:[0.4535]] | [X:[], M:[[4], [-12], [-12], [4], [-4], [-22]], q:[[11], [-15]], qb:[[1], [11]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_3$, $ M_5$, $ \phi_1^2$, $ M_6$, $ M_4$, $ q_2\tilde{q}_1$, $ \phi_1q_2^2$, $ \phi_1q_1q_2$, $ \phi_1q_2\tilde{q}_2$, $ M_2^2$, $ M_2M_3$, $ M_3^2$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_2M_5$, $ M_3M_5$, $ M_2\phi_1^2$, $ M_3\phi_1^2$, $ \phi_1q_2\tilde{q}_1$, $ M_2M_6$, $ M_3M_6$, $ M_2M_4$, $ M_3M_4$, $ M_5^2$, $ M_5\phi_1^2$, $ \phi_1^4$, $ M_5M_6$, $ M_6\phi_1^2$, $ M_2q_2\tilde{q}_1$, $ M_6^2$, $ M_2\phi_1q_2^2$, $ M_3\phi_1q_2^2$ | $M_4\phi_1^2$ | -3 | 2*t^2.16 + 2*t^2.72 + t^2.96 + t^3.28 + t^3.52 + t^3.77 + 2*t^4.08 + 3*t^4.32 + 3*t^4.4 + 4*t^4.88 + 2*t^5.13 + 5*t^5.44 + 2*t^5.68 + 3*t^5.93 - 3*t^6. + 6*t^6.24 - 2*t^6.32 + 7*t^6.49 + 4*t^6.56 + t^6.73 + 2*t^6.8 + 7*t^7.05 + 3*t^7.12 + 4*t^7.29 - t^7.36 + t^7.53 + 9*t^7.6 - 2*t^7.68 + 5*t^7.85 - t^7.92 + 5*t^8.09 - 2*t^8.23 + 9*t^8.41 - 2*t^8.48 + 11*t^8.65 - 2*t^8.72 + 5*t^8.79 + 3*t^8.89 + 3*t^8.96 - t^4.36/y - (2*t^6.52)/y + t^7.4/y + (4*t^7.88)/y + (2*t^8.13)/y + (2*t^8.2)/y + (3*t^8.44)/y + t^8.68/y + (2*t^8.93)/y - t^4.36*y - 2*t^6.52*y + t^7.4*y + 4*t^7.88*y + 2*t^8.13*y + 2*t^8.2*y + 3*t^8.44*y + t^8.68*y + 2*t^8.93*y | (2*t^2.16)/g1^12 + (2*t^2.72)/g1^4 + t^2.96/g1^22 + g1^4*t^3.28 + t^3.52/g1^14 + t^3.77/g1^32 + (2*t^4.08)/g1^6 + (3*t^4.32)/g1^24 + 3*g1^20*t^4.4 + (4*t^4.88)/g1^16 + (2*t^5.13)/g1^34 + (5*t^5.44)/g1^8 + (2*t^5.68)/g1^26 + (3*t^5.93)/g1^44 - 3*t^6. + (6*t^6.24)/g1^18 - 2*g1^26*t^6.32 + (7*t^6.49)/g1^36 + 4*g1^8*t^6.56 + t^6.73/g1^54 + (2*t^6.8)/g1^10 + (7*t^7.05)/g1^28 + 3*g1^16*t^7.12 + (4*t^7.29)/g1^46 - t^7.36/g1^2 + t^7.53/g1^64 + (9*t^7.6)/g1^20 - 2*g1^24*t^7.68 + (5*t^7.85)/g1^38 - g1^6*t^7.92 + (5*t^8.09)/g1^56 - 2*g1^32*t^8.23 + (9*t^8.41)/g1^30 - 2*g1^14*t^8.48 + (11*t^8.65)/g1^48 - (2*t^8.72)/g1^4 + 5*g1^40*t^8.79 + (3*t^8.89)/g1^66 + (3*t^8.96)/g1^22 - t^4.36/(g1^2*y) - (2*t^6.52)/(g1^14*y) + (g1^20*t^7.4)/y + (4*t^7.88)/(g1^16*y) + (2*t^8.13)/(g1^34*y) + (2*g1^10*t^8.2)/y + (3*t^8.44)/(g1^8*y) + t^8.68/(g1^26*y) + (2*t^8.93)/(g1^44*y) - (t^4.36*y)/g1^2 - (2*t^6.52*y)/g1^14 + g1^20*t^7.4*y + (4*t^7.88*y)/g1^16 + (2*t^8.13*y)/g1^34 + 2*g1^10*t^8.2*y + (3*t^8.44*y)/g1^8 + (t^8.68*y)/g1^26 + (2*t^8.93*y)/g1^44 |
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 |
|---|---|---|---|---|---|---|---|---|
| 57013 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1\phi_1^2$ + $ M_1M_5$ + $ \phi_1\tilde{q}_1^2$ + $ M_4M_5$ + $ M_6q_1\tilde{q}_2$ + $ M_5M_6$ | 0.6802 | 0.8437 | 0.8062 | [X:[], M:[1.0769, 0.7692, 0.7692, 1.0769, 0.9231, 1.0769], q:[0.4615, 0.4615], qb:[0.7692, 0.4615], phi:[0.4615]] | 2*t^2.31 + 2*t^2.77 + 2*t^3.23 + t^3.69 + 6*t^4.15 + 3*t^4.62 + 4*t^5.08 + 7*t^5.54 - 3*t^6. - t^4.38/y - t^4.38*y | detail | {a: 11955/17576, c: 3707/4394, M1: 14/13, M2: 10/13, M3: 10/13, M4: 14/13, M5: 12/13, M6: 14/13, q1: 6/13, q2: 6/13, qb1: 10/13, qb2: 6/13, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 46807 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1\phi_1^2$ + $ M_1M_5$ + $ \phi_1\tilde{q}_1^2$ + $ M_4M_5$ | 0.6892 | 0.8587 | 0.8026 | [X:[], M:[1.0848, 0.7456, 0.7456, 1.0848, 0.9152], q:[0.4832, 0.432], qb:[0.7712, 0.4832], phi:[0.4576]] | 2*t^2.24 + 2*t^2.75 + t^2.9 + t^3.25 + t^3.61 + t^3.96 + 2*t^4.12 + 3*t^4.27 + 3*t^4.47 + 4*t^4.98 + 2*t^5.14 + 5*t^5.49 + 2*t^5.64 + t^5.8 - 3*t^6. - t^4.37/y - t^4.37*y | detail |