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 |
|---|---|---|---|---|---|---|---|---|---|
| 2386 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3M_5$ + $ M_6M_7$ + $ \phi_1q_1^2$ | 0.6693 | 0.8286 | 0.8077 | [X:[], M:[0.763, 1.0983, 1.0405, 0.8439, 0.9595, 1.1561, 0.8439], q:[0.7746, 0.4624], qb:[0.3815, 0.578], phi:[0.4509]] | [X:[], M:[[30], [-4], [-22], [-14], [22], [14], [-14]], q:[[-1], [-29]], qb:[[15], [7]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ M_4$, $ M_7$, $ M_5$, $ M_3$, $ M_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ M_1^2$, $ M_1M_4$, $ M_1M_7$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ M_4^2$, $ M_4M_7$, $ M_7^2$, $ \phi_1q_1q_2$, $ M_1M_5$, $ M_1M_3$, $ M_4M_5$, $ M_5M_7$, $ \phi_1q_1\tilde{q}_2$, $ M_1M_2$, $ M_3M_4$, $ M_3M_7$, $ M_2M_4$, $ M_2M_7$, $ M_1\phi_1\tilde{q}_1^2$ | . | -2 | t^2.29 + 2*t^2.53 + t^2.88 + t^3.12 + t^3.29 + t^3.64 + t^3.88 + t^4.06 + t^4.13 + t^4.23 + t^4.47 + t^4.58 + 3*t^4.82 + 3*t^5.06 + t^5.17 + 2*t^5.41 + t^5.58 + t^5.65 + 2*t^5.83 + t^5.93 - 2*t^6. + 3*t^6.17 + 3*t^6.42 + 2*t^6.52 + 2*t^6.66 + 2*t^6.76 + t^6.87 + 2*t^7.01 + 3*t^7.11 + t^7.25 + t^7.28 + 4*t^7.35 + t^7.46 + t^7.53 + 3*t^7.6 + 2*t^7.7 + t^7.77 + 2*t^7.87 + t^7.94 + t^8.01 + 3*t^8.12 + t^8.19 + t^8.22 + t^8.25 - 3*t^8.29 + 3*t^8.36 + 4*t^8.46 - 5*t^8.53 + t^8.6 + 5*t^8.71 - t^8.77 + 2*t^8.81 - 3*t^8.88 + 5*t^8.95 - t^4.35/y - t^6.64/y - t^6.88/y + (3*t^7.82)/y + (2*t^8.06)/y + t^8.17/y + (3*t^8.41)/y + t^8.58/y + (2*t^8.65)/y + (2*t^8.83)/y - t^4.35*y - t^6.64*y - t^6.88*y + 3*t^7.82*y + 2*t^8.06*y + t^8.17*y + 3*t^8.41*y + t^8.58*y + 2*t^8.65*y + 2*t^8.83*y | g1^30*t^2.29 + (2*t^2.53)/g1^14 + g1^22*t^2.88 + t^3.12/g1^22 + t^3.29/g1^4 + g1^32*t^3.64 + t^3.88/g1^12 + g1^6*t^4.06 + t^4.13/g1^56 + g1^24*t^4.23 + t^4.47/g1^20 + g1^60*t^4.58 + 3*g1^16*t^4.82 + (3*t^5.06)/g1^28 + g1^52*t^5.17 + 2*g1^8*t^5.41 + g1^26*t^5.58 + t^5.65/g1^36 + (2*t^5.83)/g1^18 + g1^62*t^5.93 - 2*t^6. + 3*g1^18*t^6.17 + (3*t^6.42)/g1^26 + 2*g1^54*t^6.52 + (2*t^6.66)/g1^70 + 2*g1^10*t^6.76 + g1^90*t^6.87 + (2*t^7.01)/g1^34 + 3*g1^46*t^7.11 + t^7.25/g1^78 + g1^64*t^7.28 + 4*g1^2*t^7.35 + g1^82*t^7.46 + g1^20*t^7.53 + (3*t^7.6)/g1^42 + 2*g1^38*t^7.7 + t^7.77/g1^24 + 2*g1^56*t^7.87 + t^7.94/g1^6 + t^8.01/g1^68 + 3*g1^12*t^8.12 + t^8.19/g1^50 + g1^92*t^8.22 + t^8.25/g1^112 - 3*g1^30*t^8.29 + (3*t^8.36)/g1^32 + 4*g1^48*t^8.46 - (5*t^8.53)/g1^14 + t^8.6/g1^76 + 5*g1^4*t^8.71 - t^8.77/g1^58 + 2*g1^84*t^8.81 - 3*g1^22*t^8.88 + (5*t^8.95)/g1^40 - (g1^2*t^4.35)/y - (g1^32*t^6.64)/y - t^6.88/(g1^12*y) + (3*g1^16*t^7.82)/y + (2*t^8.06)/(g1^28*y) + (g1^52*t^8.17)/y + (3*g1^8*t^8.41)/y + (g1^26*t^8.58)/y + (2*t^8.65)/(g1^36*y) + (2*t^8.83)/(g1^18*y) - g1^2*t^4.35*y - g1^32*t^6.64*y - (t^6.88*y)/g1^12 + 3*g1^16*t^7.82*y + (2*t^8.06*y)/g1^28 + g1^52*t^8.17*y + 3*g1^8*t^8.41*y + g1^26*t^8.58*y + (2*t^8.65*y)/g1^36 + (2*t^8.83*y)/g1^18 |
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 |
|---|---|---|---|---|---|---|---|---|
| 4414 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3M_5$ + $ M_6M_7$ + $ \phi_1q_1^2$ + $ M_1\phi_1\tilde{q}_1^2$ | 0.6691 | 0.8284 | 0.8077 | [X:[], M:[0.7742, 1.0968, 1.0323, 0.8387, 0.9677, 1.1613, 0.8387], q:[0.7742, 0.4516], qb:[0.3871, 0.5806], phi:[0.4516]] | t^2.32 + 2*t^2.52 + t^2.9 + t^3.1 + t^3.29 + t^3.68 + t^3.87 + 2*t^4.06 + t^4.26 + t^4.45 + t^4.65 + 3*t^4.84 + 3*t^5.03 + t^5.23 + 2*t^5.42 + 2*t^5.61 + 2*t^5.81 - t^6. - t^4.35/y - t^4.35*y | detail | {a: 318939/476656, c: 197429/238328, M1: 24/31, M2: 34/31, M3: 32/31, M4: 26/31, M5: 30/31, M6: 36/31, M7: 26/31, q1: 24/31, q2: 14/31, qb1: 12/31, qb2: 18/31, phi1: 14/31} |
| 4399 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3M_5$ + $ M_6M_7$ + $ \phi_1q_1^2$ + $ M_8\phi_1q_2\tilde{q}_1$ | 0.6897 | 0.8676 | 0.795 | [X:[], M:[0.7601, 1.0987, 1.0426, 0.8453, 0.9574, 1.1547, 0.8453, 0.704], q:[0.7747, 0.4652], qb:[0.3801, 0.5774], phi:[0.4507]] | t^2.11 + t^2.28 + 2*t^2.54 + t^2.87 + t^3.13 + t^3.3 + t^3.63 + t^4.06 + t^4.14 + 2*t^4.22 + t^4.39 + t^4.48 + t^4.56 + 2*t^4.65 + 3*t^4.82 + t^4.98 + 3*t^5.07 + t^5.15 + t^5.24 + 3*t^5.41 + t^5.58 + t^5.66 + t^5.74 + 2*t^5.83 + t^5.91 - 2*t^6. - t^4.35/y - t^4.35*y | detail | |
| 4398 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3M_5$ + $ M_6M_7$ + $ \phi_1q_1^2$ + $ M_8\phi_1\tilde{q}_1^2$ | 0.6871 | 0.861 | 0.7981 | [X:[], M:[0.7814, 1.0958, 1.027, 0.8354, 0.973, 1.1646, 0.8354, 0.7665], q:[0.774, 0.4447], qb:[0.3907, 0.5823], phi:[0.4521]] | t^2.3 + t^2.34 + 2*t^2.51 + t^2.92 + t^3.08 + t^3.29 + t^3.86 + t^4.02 + t^4.07 + t^4.28 + t^4.44 + t^4.6 + t^4.64 + t^4.69 + 2*t^4.81 + 3*t^4.85 + 3*t^5.01 + t^5.22 + t^5.26 + t^5.38 + 2*t^5.43 + 2*t^5.59 + t^5.63 + 2*t^5.79 - 2*t^6. - t^4.36/y - t^4.36*y | detail |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 1329 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3M_5$ + $ M_6M_7$ | 0.7018 | 0.8592 | 0.8168 | [X:[], M:[0.8944, 1.0363, 1.0329, 0.9602, 0.9671, 1.0398, 0.9602], q:[0.5926, 0.513], qb:[0.4472, 0.5199], phi:[0.4818]] | t^2.68 + 2*t^2.88 + t^2.9 + t^3.1 + t^3.11 + t^3.34 + t^4.13 + t^4.33 + t^4.35 + t^4.52 + t^4.54 + 2*t^4.56 + t^4.76 + t^4.78 + t^5. + t^5.37 + t^5.56 + t^5.58 + 2*t^5.76 + t^5.78 + t^5.79 + t^5.98 + 2*t^5.99 - 3*t^6. - t^4.45/y - t^4.45*y | detail |