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 |
|---|---|---|---|---|---|---|---|---|---|
| 2385 | 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\tilde{q}_2$ | 0.5909 | 0.7517 | 0.786 | [X:[], M:[0.6939, 1.1466, 1.013, 0.7199, 0.987, 1.2801, 0.7199], q:[0.9332, 0.3729], qb:[0.3469, 0.6401], phi:[0.4267]] | [X:[], M:[[22], [-4], [-14], [-6], [14], [6], [-6]], q:[[-5], [-17]], qb:[[11], [3]], 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$, $ \phi_1\tilde{q}_1^2$, $ M_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2^2$, $ M_1^2$, $ M_1M_4$, $ M_1M_7$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ M_4M_7$, $ M_7^2$, $ \phi_1q_2\tilde{q}_2$, $ q_1\tilde{q}_2$, $ M_1M_5$, $ M_1M_3$, $ M_4M_5$, $ M_5M_7$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ M_3M_4$, $ M_3M_7$, $ \phi_1q_1q_2$, $ M_1\phi_1\tilde{q}_1^2$, $ M_1M_2$, $ M_4\phi_1\tilde{q}_1^2$, $ M_7\phi_1\tilde{q}_1^2$, $ M_2M_4$, $ M_2M_7$, $ M_4\phi_1q_2\tilde{q}_1$, $ M_7\phi_1q_2\tilde{q}_1$, $ M_4\phi_1q_2^2$, $ M_7\phi_1q_2^2$ | . | -2 | t^2.08 + 2*t^2.16 + t^2.96 + t^3.04 + t^3.36 + 2*t^3.44 + t^3.52 + t^4.16 + 2*t^4.24 + 3*t^4.32 + t^4.72 + t^5.04 + 3*t^5.12 + 2*t^5.2 + t^5.44 + 3*t^5.52 + 4*t^5.6 + 2*t^5.68 - 2*t^6. + t^6.24 + 3*t^6.32 + 4*t^6.4 + 5*t^6.48 + t^6.56 + t^6.72 + t^6.8 + 2*t^6.88 + t^6.96 + t^7.04 + t^7.12 + 2*t^7.2 + 2*t^7.28 + t^7.36 + t^7.53 + 3*t^7.6 + 4*t^7.68 + 5*t^7.76 + 3*t^7.84 - 2*t^8.08 - 4*t^8.16 + t^8.33 + 3*t^8.4 + 5*t^8.48 + 5*t^8.56 + 6*t^8.64 + 2*t^8.72 + t^8.81 + 2*t^8.88 - 2*t^8.96 - t^4.28/y - t^6.36/y - t^6.44/y + (2*t^7.24)/y + t^7.32/y + t^8.04/y + (4*t^8.12)/y + (3*t^8.2)/y + (3*t^8.52)/y + (4*t^8.6)/y + (2*t^8.68)/y - t^4.28*y - t^6.36*y - t^6.44*y + 2*t^7.24*y + t^7.32*y + t^8.04*y + 4*t^8.12*y + 3*t^8.2*y + 3*t^8.52*y + 4*t^8.6*y + 2*t^8.68*y | g1^22*t^2.08 + (2*t^2.16)/g1^6 + g1^14*t^2.96 + t^3.04/g1^14 + g1^24*t^3.36 + (2*t^3.44)/g1^4 + t^3.52/g1^32 + g1^44*t^4.16 + 2*g1^16*t^4.24 + (3*t^4.32)/g1^12 + t^4.72/g1^2 + g1^36*t^5.04 + 3*g1^8*t^5.12 + (2*t^5.2)/g1^20 + g1^46*t^5.44 + 3*g1^18*t^5.52 + (4*t^5.6)/g1^10 + (2*t^5.68)/g1^38 - 2*t^6. + g1^66*t^6.24 + 3*g1^38*t^6.32 + 4*g1^10*t^6.4 + (5*t^6.48)/g1^18 + t^6.56/g1^46 + g1^48*t^6.72 + g1^20*t^6.8 + (2*t^6.88)/g1^8 + t^6.96/g1^36 + t^7.04/g1^64 + g1^58*t^7.12 + 2*g1^30*t^7.2 + 2*g1^2*t^7.28 + t^7.36/g1^26 + g1^68*t^7.53 + 3*g1^40*t^7.6 + 4*g1^12*t^7.68 + (5*t^7.76)/g1^16 + (3*t^7.84)/g1^44 - 2*g1^22*t^8.08 - (4*t^8.16)/g1^6 + g1^88*t^8.33 + 3*g1^60*t^8.4 + 5*g1^32*t^8.48 + 5*g1^4*t^8.56 + (6*t^8.64)/g1^24 + (2*t^8.72)/g1^52 + g1^70*t^8.81 + 2*g1^42*t^8.88 - 2*g1^14*t^8.96 - (g1^2*t^4.28)/y - (g1^24*t^6.36)/y - t^6.44/(g1^4*y) + (2*g1^16*t^7.24)/y + t^7.32/(g1^12*y) + (g1^36*t^8.04)/y + (4*g1^8*t^8.12)/y + (3*t^8.2)/(g1^20*y) + (3*g1^18*t^8.52)/y + (4*t^8.6)/(g1^10*y) + (2*t^8.68)/(g1^38*y) - g1^2*t^4.28*y - g1^24*t^6.36*y - (t^6.44*y)/g1^4 + 2*g1^16*t^7.24*y + (t^7.32*y)/g1^12 + g1^36*t^8.04*y + 4*g1^8*t^8.12*y + (3*t^8.2*y)/g1^20 + 3*g1^18*t^8.52*y + (4*t^8.6*y)/g1^10 + (2*t^8.68*y)/g1^38 |
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 |
|---|---|---|---|---|---|---|---|---|
| 4400 | $M_1q_1q_2$ + $ 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\tilde{q}_2$ + $ M_1\phi_1\tilde{q}_1^2$ | 0.5814 | 0.7418 | 0.7839 | [X:[], M:[0.7826, 1.1304, 0.9565, 0.6957, 1.0435, 1.3043, 0.6957], q:[0.913, 0.3043], qb:[0.3913, 0.6522], phi:[0.4348]] | 2*t^2.09 + t^2.35 + t^2.87 + 2*t^3.13 + 2*t^3.39 + t^3.65 + 3*t^4.17 + 2*t^4.43 + 2*t^4.7 + 2*t^4.96 + 5*t^5.22 + 5*t^5.48 + 3*t^5.74 - t^4.3/y - t^4.3*y | detail | {a: 113187/194672, c: 72199/97336, M1: 18/23, M2: 26/23, M3: 22/23, M4: 16/23, M5: 24/23, M6: 30/23, M7: 16/23, q1: 21/23, q2: 7/23, qb1: 9/23, qb2: 15/23, phi1: 10/23} |
| 4410 | $M_1q_1q_2$ + $ 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\tilde{q}_2$ + $ M_8\phi_1q_2^2$ + $ M_1X_1$ | 0.5864 | 0.74 | 0.7924 | [X:[1.3391], M:[0.6609, 1.1526, 1.034, 0.7288, 0.966, 1.2712, 0.7288, 0.7795], q:[0.9407, 0.3984], qb:[0.3304, 0.6356], phi:[0.4237]] | 2*t^2.19 + t^2.34 + t^2.9 + t^3.1 + t^3.25 + 2*t^3.46 + t^4.02 + 3*t^4.37 + 2*t^4.52 + t^4.68 + t^4.73 + 2*t^5.08 + t^5.24 + 2*t^5.29 + 2*t^5.44 + t^5.59 + 3*t^5.64 + 2*t^5.8 - 2*t^6. - t^4.27/y - t^4.27*y | detail | |
| 4409 | $M_1q_1q_2$ + $ 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\tilde{q}_2$ + $ M_8\phi_1\tilde{q}_1^2$ | 0.6032 | 0.7736 | 0.7797 | [X:[], M:[0.727, 1.1406, 0.9919, 0.7108, 1.0081, 1.2892, 0.7108, 0.8433], q:[0.9257, 0.3474], qb:[0.3635, 0.6446], phi:[0.4297]] | 2*t^2.13 + t^2.18 + t^2.53 + t^2.98 + t^3.02 + t^3.37 + 2*t^3.42 + 3*t^4.26 + 2*t^4.31 + t^4.36 + 2*t^4.66 + 2*t^4.71 + t^5.06 + 2*t^5.11 + 3*t^5.16 + t^5.21 + 3*t^5.51 + 5*t^5.55 + t^5.6 + t^5.9 + 2*t^5.95 - 2*t^6. - t^4.29/y - t^4.29*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 |