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 |
|---|---|---|---|---|---|---|---|---|---|
| 2265 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_1q_2$ + $ M_1M_4$ + $ M_6\phi_1q_2\tilde{q}_1$ + $ M_7\phi_1q_2^2$ | 0.6891 | 0.8883 | 0.7758 | [X:[], M:[1.172, 0.7346, 0.828, 0.828, 0.7346, 0.7813, 0.6878], q:[0.8047, 0.4608], qb:[0.3673, 0.8047], phi:[0.3907]] | [X:[], M:[[-6], [-14], [6], [6], [-14], [-4], [-24]], q:[[1], [13]], qb:[[-7], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_7$, $ M_2$, $ M_5$, $ M_6$, $ \phi_1^2$, $ M_3$, $ M_4$, $ \phi_1\tilde{q}_1^2$, $ M_1$, $ M_7^2$, $ M_2M_7$, $ M_5M_7$, $ M_2^2$, $ M_2M_5$, $ M_5^2$, $ M_6M_7$, $ M_7\phi_1^2$, $ M_2M_6$, $ M_5M_6$, $ M_3M_7$, $ M_4M_7$, $ M_2\phi_1^2$, $ M_5\phi_1^2$, $ M_2M_3$, $ M_2M_4$, $ M_3M_5$, $ M_4M_5$, $ M_6^2$, $ M_6\phi_1^2$, $ \phi_1^4$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_3M_6$, $ M_4M_6$, $ M_3\phi_1^2$, $ M_4\phi_1^2$, $ q_1\tilde{q}_2$, $ M_3^2$, $ M_3M_4$, $ M_4^2$, $ \phi_1q_2\tilde{q}_2$, $ M_7\phi_1\tilde{q}_1^2$, $ M_1M_7$, $ M_2\phi_1\tilde{q}_1^2$, $ M_5\phi_1\tilde{q}_1^2$, $ M_1M_2$, $ M_1M_5$, $ M_6\phi_1\tilde{q}_1^2$, $ \phi_1^3\tilde{q}_1^2$, $ M_1M_6$, $ M_1\phi_1^2$, $ M_3\phi_1\tilde{q}_1^2$, $ M_4\phi_1\tilde{q}_1^2$ | $\phi_1\tilde{q}_2^2$ | -1 | t^2.06 + 2*t^2.2 + 2*t^2.34 + 2*t^2.48 + t^3.38 + t^3.52 + t^4.13 + 2*t^4.27 + 5*t^4.41 + 6*t^4.55 + 7*t^4.69 + 5*t^4.83 + 3*t^4.97 + t^5.44 + 3*t^5.58 + 3*t^5.72 + 2*t^5.86 - t^6. - 2*t^6.14 + t^6.19 - t^6.28 + 2*t^6.33 + 5*t^6.47 + 10*t^6.61 + 14*t^6.75 + 17*t^6.89 + 15*t^7.03 + 10*t^7.17 + 3*t^7.31 + t^7.45 + t^7.5 - t^7.59 + 3*t^7.64 + 6*t^7.78 + 7*t^7.92 + 4*t^8.06 - 3*t^8.2 + t^8.25 - 8*t^8.34 + 2*t^8.39 - 11*t^8.48 + 5*t^8.53 - 8*t^8.62 + 10*t^8.67 - 3*t^8.76 + 19*t^8.81 + 27*t^8.96 - t^4.17/y - t^6.24/y - (2*t^6.38)/y - (2*t^6.52)/y - t^6.66/y + (2*t^7.27)/y + (3*t^7.41)/y + (6*t^7.55)/y + (6*t^7.69)/y + (6*t^7.83)/y + (3*t^7.97)/y + t^8.11/y - t^8.3/y - t^8.44/y - (2*t^8.58)/y - t^8.72/y - t^8.86/y - t^4.17*y - t^6.24*y - 2*t^6.38*y - 2*t^6.52*y - t^6.66*y + 2*t^7.27*y + 3*t^7.41*y + 6*t^7.55*y + 6*t^7.69*y + 6*t^7.83*y + 3*t^7.97*y + t^8.11*y - t^8.3*y - t^8.44*y - 2*t^8.58*y - t^8.72*y - t^8.86*y | t^2.06/g1^24 + (2*t^2.2)/g1^14 + (2*t^2.34)/g1^4 + 2*g1^6*t^2.48 + t^3.38/g1^16 + t^3.52/g1^6 + t^4.13/g1^48 + (2*t^4.27)/g1^38 + (5*t^4.41)/g1^28 + (6*t^4.55)/g1^18 + (7*t^4.69)/g1^8 + 5*g1^2*t^4.83 + 3*g1^12*t^4.97 + t^5.44/g1^40 + (3*t^5.58)/g1^30 + (3*t^5.72)/g1^20 + (2*t^5.86)/g1^10 - t^6. - 2*g1^10*t^6.14 + t^6.19/g1^72 - g1^20*t^6.28 + (2*t^6.33)/g1^62 + (5*t^6.47)/g1^52 + (10*t^6.61)/g1^42 + (14*t^6.75)/g1^32 + (17*t^6.89)/g1^22 + (15*t^7.03)/g1^12 + (10*t^7.17)/g1^2 + 3*g1^8*t^7.31 + g1^18*t^7.45 + t^7.5/g1^64 - g1^28*t^7.59 + (3*t^7.64)/g1^54 + (6*t^7.78)/g1^44 + (7*t^7.92)/g1^34 + (4*t^8.06)/g1^24 - (3*t^8.2)/g1^14 + t^8.25/g1^96 - (8*t^8.34)/g1^4 + (2*t^8.39)/g1^86 - 11*g1^6*t^8.48 + (5*t^8.53)/g1^76 - 8*g1^16*t^8.62 + (10*t^8.67)/g1^66 - 3*g1^26*t^8.76 + (19*t^8.81)/g1^56 + (27*t^8.96)/g1^46 - t^4.17/(g1^2*y) - t^6.24/(g1^26*y) - (2*t^6.38)/(g1^16*y) - (2*t^6.52)/(g1^6*y) - (g1^4*t^6.66)/y + (2*t^7.27)/(g1^38*y) + (3*t^7.41)/(g1^28*y) + (6*t^7.55)/(g1^18*y) + (6*t^7.69)/(g1^8*y) + (6*g1^2*t^7.83)/y + (3*g1^12*t^7.97)/y + (g1^22*t^8.11)/y - t^8.3/(g1^50*y) - t^8.44/(g1^40*y) - (2*t^8.58)/(g1^30*y) - t^8.72/(g1^20*y) - t^8.86/(g1^10*y) - (t^4.17*y)/g1^2 - (t^6.24*y)/g1^26 - (2*t^6.38*y)/g1^16 - (2*t^6.52*y)/g1^6 - g1^4*t^6.66*y + (2*t^7.27*y)/g1^38 + (3*t^7.41*y)/g1^28 + (6*t^7.55*y)/g1^18 + (6*t^7.69*y)/g1^8 + 6*g1^2*t^7.83*y + 3*g1^12*t^7.97*y + g1^22*t^8.11*y - (t^8.3*y)/g1^50 - (t^8.44*y)/g1^40 - (2*t^8.58*y)/g1^30 - (t^8.72*y)/g1^20 - (t^8.86*y)/g1^10 |
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 |
|---|---|---|---|---|---|---|---|---|
| 4271 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_1q_2$ + $ M_1M_4$ + $ M_6\phi_1q_2\tilde{q}_1$ + $ M_7\phi_1q_2^2$ + $ M_2M_7$ | 0.598 | 0.7592 | 0.7877 | [X:[], M:[1.2632, 0.9474, 0.7368, 0.7368, 0.9474, 0.8421, 1.0526], q:[0.7895, 0.2632], qb:[0.4737, 0.7895], phi:[0.4211]] | 2*t^2.21 + 2*t^2.53 + 2*t^2.84 + t^3.16 + t^3.79 + t^4.11 + 3*t^4.42 + 5*t^4.74 + 7*t^5.05 + 5*t^5.37 + 3*t^5.68 + t^6. - t^4.26/y - t^4.26*y | detail | {a: 65625/109744, c: 41657/54872, M1: 24/19, M2: 18/19, M3: 14/19, M4: 14/19, M5: 18/19, M6: 16/19, M7: 20/19, q1: 15/19, q2: 5/19, qb1: 9/19, qb2: 15/19, phi1: 8/19} |
| 4270 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_1q_2$ + $ M_1M_4$ + $ M_6\phi_1q_2\tilde{q}_1$ + $ M_7\phi_1q_2^2$ + $ M_7^2$ | 0.6208 | 0.7874 | 0.7883 | [X:[], M:[1.25, 0.9167, 0.75, 0.75, 0.9167, 0.8333, 1.0], q:[0.7917, 0.2917], qb:[0.4583, 0.7917], phi:[0.4167]] | 2*t^2.25 + 2*t^2.5 + 2*t^2.75 + t^3. + t^3.75 + t^4. + 3*t^4.5 + 5*t^4.75 + 7*t^5. + 6*t^5.25 + 4*t^5.5 - t^4.25/y - t^4.25*y | detail | {a: 1907/3072, c: 2419/3072, M1: 5/4, M2: 11/12, M3: 3/4, M4: 3/4, M5: 11/12, M6: 5/6, M7: 1, q1: 19/24, q2: 7/24, qb1: 11/24, qb2: 19/24, phi1: 5/12} |
| 4267 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_1q_2$ + $ M_1M_4$ + $ M_6\phi_1q_2\tilde{q}_1$ + $ M_7\phi_1q_2^2$ + $ M_8\phi_1\tilde{q}_1^2$ | 0.7012 | 0.9062 | 0.7738 | [X:[], M:[1.18, 0.7533, 0.82, 0.82, 0.7533, 0.7867, 0.72, 0.8534], q:[0.8033, 0.4434], qb:[0.3767, 0.8033], phi:[0.3933]] | t^2.16 + 2*t^2.26 + 2*t^2.36 + 2*t^2.46 + t^2.56 + t^3.54 + t^4.32 + 2*t^4.42 + 5*t^4.52 + 6*t^4.62 + 8*t^4.72 + 7*t^4.82 + 5*t^4.92 + 2*t^5.02 + t^5.12 + t^5.7 + t^5.8 - t^6. - t^4.18/y - t^4.18*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1204 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_1q_2$ + $ M_1M_4$ + $ M_6\phi_1q_2\tilde{q}_1$ | 0.6685 | 0.8477 | 0.7886 | [X:[], M:[1.1747, 0.7409, 0.8253, 0.8253, 0.7409, 0.7831], q:[0.8042, 0.4549], qb:[0.3704, 0.8042], phi:[0.3916]] | 2*t^2.22 + 2*t^2.35 + 2*t^2.48 + t^3.4 + t^3.52 + t^3.9 + 3*t^4.45 + 4*t^4.57 + 7*t^4.7 + 5*t^4.83 + 3*t^4.95 + 2*t^5.62 + 3*t^5.75 + 2*t^5.87 - t^6. - t^4.17/y - t^4.17*y | detail |