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 |
|---|---|---|---|---|---|---|---|---|---|
| 3206 | 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$ + $ M_1M_6$ + $ \phi_1\tilde{q}_1^2$ + $ M_7\phi_1q_1q_2$ | 0.6909 | 0.8885 | 0.7776 | [X:[], M:[1.1951, 0.7368, 0.8049, 1.1269, 0.8731, 0.8049, 0.7121], q:[0.4365, 0.3684], qb:[0.7585, 0.5047], phi:[0.483]] | [X:[], M:[[10], [-34], [-10], [-14], [14], [-10], [16]], q:[[7], [-17]], qb:[[3], [31]], phi:[[-6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_7$, $ M_2$, $ M_3$, $ M_6$, $ M_5$, $ q_1\tilde{q}_2$, $ \phi_1^2$, $ M_4$, $ \phi_1q_2^2$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_7^2$, $ \phi_1q_1\tilde{q}_2$, $ M_2M_7$, $ M_2^2$, $ \phi_1\tilde{q}_2^2$, $ M_3M_7$, $ M_6M_7$, $ M_2M_3$, $ M_2M_6$, $ M_5M_7$, $ M_3^2$, $ M_2M_5$, $ M_3M_6$, $ M_6^2$, $ \phi_1q_2\tilde{q}_1$, $ M_7q_1\tilde{q}_2$, $ M_3M_5$, $ M_5M_6$, $ M_7\phi_1^2$, $ \phi_1q_1\tilde{q}_1$, $ M_2\phi_1^2$, $ M_5^2$, $ M_3q_1\tilde{q}_2$, $ M_6q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_3\phi_1^2$, $ M_6\phi_1^2$, $ M_5q_1\tilde{q}_2$, $ M_4M_7$, $ M_5\phi_1^2$, $ q_1^2\tilde{q}_2^2$, $ \phi_1^2q_1\tilde{q}_2$, $ M_3M_4$, $ M_4M_6$, $ \phi_1^4$, $ M_7\phi_1q_2^2$, $ M_2\phi_1q_2^2$ | . | -2 | t^2.14 + t^2.21 + 2*t^2.41 + t^2.62 + t^2.82 + t^2.9 + t^3.38 + t^3.66 + 2*t^4.07 + 2*t^4.27 + t^4.35 + t^4.42 + t^4.48 + 2*t^4.55 + 2*t^4.63 + t^4.76 + 4*t^4.83 + t^4.96 + 4*t^5.03 + t^5.11 + 3*t^5.24 + 2*t^5.31 + t^5.44 + 2*t^5.52 + t^5.65 + t^5.72 + 2*t^5.8 + t^5.87 - 2*t^6. + 2*t^6.07 + 3*t^6.28 + t^6.41 + 5*t^6.48 + 2*t^6.56 + t^6.61 + t^6.63 + 5*t^6.69 + t^6.76 + 2*t^6.84 + 5*t^6.89 + 4*t^6.97 + 4*t^7.04 + 3*t^7.1 + 2*t^7.17 + 5*t^7.24 + t^7.3 + 2*t^7.32 + 3*t^7.37 + 6*t^7.45 + 2*t^7.52 + 5*t^7.65 + 5*t^7.73 + t^7.78 + 3*t^7.86 + 4*t^7.93 + 2*t^8.06 + t^8.08 + 2*t^8.14 + t^8.27 + 2*t^8.28 + t^8.34 - 5*t^8.41 + t^8.47 + 5*t^8.49 + 4*t^8.55 - 3*t^8.62 + 7*t^8.69 + 2*t^8.75 + 2*t^8.77 - 2*t^8.82 + t^8.84 + 6*t^8.9 + t^8.95 + 3*t^8.97 - t^4.45/y - t^6.59/y - t^6.66/y - t^6.86/y + (3*t^7.55)/y + (2*t^7.63)/y + t^7.76/y + (2*t^7.83)/y + t^7.96/y + (5*t^8.03)/y + t^8.11/y + (3*t^8.24)/y + (3*t^8.31)/y + t^8.44/y + (2*t^8.52)/y + t^8.59/y + (2*t^8.8)/y - t^4.45*y - t^6.59*y - t^6.66*y - t^6.86*y + 3*t^7.55*y + 2*t^7.63*y + t^7.76*y + 2*t^7.83*y + t^7.96*y + 5*t^8.03*y + t^8.11*y + 3*t^8.24*y + 3*t^8.31*y + t^8.44*y + 2*t^8.52*y + t^8.59*y + 2*t^8.8*y | g1^16*t^2.14 + t^2.21/g1^34 + (2*t^2.41)/g1^10 + g1^14*t^2.62 + g1^38*t^2.82 + t^2.9/g1^12 + t^3.38/g1^14 + t^3.66/g1^40 + 2*g1^8*t^4.07 + 2*g1^32*t^4.27 + t^4.35/g1^18 + t^4.42/g1^68 + g1^56*t^4.48 + 2*g1^6*t^4.55 + (2*t^4.63)/g1^44 + g1^30*t^4.76 + (4*t^4.83)/g1^20 + g1^54*t^4.96 + 4*g1^4*t^5.03 + t^5.11/g1^46 + 3*g1^28*t^5.24 + (2*t^5.31)/g1^22 + g1^52*t^5.44 + 2*g1^2*t^5.52 + g1^76*t^5.65 + g1^26*t^5.72 + (2*t^5.8)/g1^24 + t^5.87/g1^74 - 2*t^6. + (2*t^6.07)/g1^50 + (3*t^6.28)/g1^26 + g1^48*t^6.41 + (5*t^6.48)/g1^2 + (2*t^6.56)/g1^52 + g1^72*t^6.61 + t^6.63/g1^102 + 5*g1^22*t^6.69 + t^6.76/g1^28 + (2*t^6.84)/g1^78 + 5*g1^46*t^6.89 + (4*t^6.97)/g1^4 + (4*t^7.04)/g1^54 + 3*g1^70*t^7.1 + 2*g1^20*t^7.17 + (5*t^7.24)/g1^30 + g1^94*t^7.3 + (2*t^7.32)/g1^80 + 3*g1^44*t^7.37 + (6*t^7.45)/g1^6 + (2*t^7.52)/g1^56 + 5*g1^18*t^7.65 + (5*t^7.73)/g1^32 + g1^92*t^7.78 + 3*g1^42*t^7.86 + (4*t^7.93)/g1^8 + 2*g1^66*t^8.06 + t^8.08/g1^108 + 2*g1^16*t^8.14 + g1^90*t^8.27 + (2*t^8.28)/g1^84 + g1^40*t^8.34 - (5*t^8.41)/g1^10 + g1^114*t^8.47 + (5*t^8.49)/g1^60 + 4*g1^64*t^8.55 - 3*g1^14*t^8.62 + (7*t^8.69)/g1^36 + 2*g1^88*t^8.75 + (2*t^8.77)/g1^86 - 2*g1^38*t^8.82 + t^8.84/g1^136 + (6*t^8.9)/g1^12 + g1^112*t^8.95 + (3*t^8.97)/g1^62 - t^4.45/(g1^6*y) - (g1^10*t^6.59)/y - t^6.66/(g1^40*y) - t^6.86/(g1^16*y) + (3*g1^6*t^7.55)/y + (2*t^7.63)/(g1^44*y) + (g1^30*t^7.76)/y + (2*t^7.83)/(g1^20*y) + (g1^54*t^7.96)/y + (5*g1^4*t^8.03)/y + t^8.11/(g1^46*y) + (3*g1^28*t^8.24)/y + (3*t^8.31)/(g1^22*y) + (g1^52*t^8.44)/y + (2*g1^2*t^8.52)/y + t^8.59/(g1^48*y) + (2*t^8.8)/(g1^24*y) - (t^4.45*y)/g1^6 - g1^10*t^6.59*y - (t^6.66*y)/g1^40 - (t^6.86*y)/g1^16 + 3*g1^6*t^7.55*y + (2*t^7.63*y)/g1^44 + g1^30*t^7.76*y + (2*t^7.83*y)/g1^20 + g1^54*t^7.96*y + 5*g1^4*t^8.03*y + (t^8.11*y)/g1^46 + 3*g1^28*t^8.24*y + (3*t^8.31*y)/g1^22 + g1^52*t^8.44*y + 2*g1^2*t^8.52*y + (t^8.59*y)/g1^48 + (2*t^8.8*y)/g1^24 |
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 |
|---|---|---|---|---|---|---|---|---|
| 5092 | $M_1q_1q_2$ + $ 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$ + $ M_1M_6$ + $ \phi_1\tilde{q}_1^2$ + $ M_7\phi_1q_1q_2$ + $ M_7q_1\tilde{q}_2$ + $ M_2X_1$ | 0.6145 | 0.7812 | 0.7867 | [X:[1.4815], M:[1.2593, 0.5185, 0.7407, 1.037, 0.963, 0.7407, 0.8148], q:[0.4815, 0.2593], qb:[0.7778, 0.7037], phi:[0.4444]] | 2*t^2.22 + t^2.44 + t^2.67 + 2*t^2.89 + t^3.11 + t^3.56 + 2*t^4.22 + 4*t^4.44 + t^4.67 + 4*t^4.89 + 5*t^5.11 + 3*t^5.33 + 4*t^5.56 + 5*t^5.78 - t^6. - t^4.33/y - t^4.33*y | detail | {a: 448/729, c: 1139/1458, X1: 40/27, M1: 34/27, M2: 14/27, M3: 20/27, M4: 28/27, M5: 26/27, M6: 20/27, M7: 22/27, q1: 13/27, q2: 7/27, qb1: 7/9, qb2: 19/27, phi1: 4/9} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 2107 | 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$ + $ M_1M_6$ + $ \phi_1\tilde{q}_1^2$ | 0.6707 | 0.8503 | 0.7887 | [X:[], M:[1.1963, 0.7324, 0.8037, 1.1251, 0.8749, 0.8037], q:[0.4374, 0.3662], qb:[0.7589, 0.5087], phi:[0.4822]] | t^2.2 + 2*t^2.41 + t^2.62 + t^2.84 + t^2.89 + t^3.38 + t^3.64 + t^3.86 + 2*t^4.07 + t^4.28 + t^4.39 + t^4.5 + 2*t^4.61 + 4*t^4.82 + 3*t^5.04 + t^5.09 + 3*t^5.25 + 2*t^5.3 + t^5.46 + t^5.52 + t^5.68 + t^5.73 + t^5.79 + t^5.84 - 2*t^6. - t^4.45/y - t^4.45*y | detail |