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 |
|---|---|---|---|---|---|---|---|---|---|
| 55481 | 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_3M_4$ + $ \phi_1q_1q_2$ + $ M_1X_1$ + $ M_5q_1\tilde{q}_2$ + $ M_2M_5$ + $ M_6\phi_1\tilde{q}_1^2$ | 0.58 | 0.7267 | 0.7981 | [X:[1.577], M:[0.423, 0.9607, 1.2689, 0.7311, 1.0393, 0.7673], q:[0.6344, 0.9426], qb:[0.4049, 0.3263], phi:[0.423]] | [X:[[2]], M:[[-2], [-14], [-6], [6], [14], [-32]], q:[[-3], [5]], qb:[[17], [-11]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_6$, $ \phi_1^2$, $ M_2$, $ M_5$, $ \phi_1\tilde{q}_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_3$, $ q_2\tilde{q}_1$, $ M_4^2$, $ \phi_1q_1\tilde{q}_1$, $ M_4M_6$, $ M_6^2$, $ M_4\phi_1^2$, $ X_1$, $ M_6\phi_1^2$, $ M_2M_4$, $ \phi_1^4$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_2M_6$, $ M_4M_5$, $ \phi_1q_2\tilde{q}_1$, $ M_5M_6$, $ M_2\phi_1^2$, $ M_4\phi_1\tilde{q}_2^2$, $ M_6\phi_1\tilde{q}_2^2$, $ M_5\phi_1^2$, $ M_4\phi_1\tilde{q}_1\tilde{q}_2$, $ M_2^2$, $ M_6\phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1^3\tilde{q}_2^2$ | $\phi_1^3\tilde{q}_1\tilde{q}_2$ | 0 | t^2.19 + t^2.3 + t^2.54 + t^2.88 + t^3.12 + t^3.23 + t^3.46 + t^3.81 + t^4.04 + t^4.39 + t^4.5 + t^4.6 + 2*t^4.73 + t^4.84 + 2*t^5.08 + t^5.18 + t^5.31 + 2*t^5.42 + t^5.53 + t^5.66 + 2*t^5.76 + 2*t^6.11 + t^6.24 + 2*t^6.34 + t^6.45 + t^6.58 + t^6.69 + t^6.8 + t^6.91 + t^6.92 + 2*t^7.03 + t^7.14 + 2*t^7.27 + 2*t^7.38 + t^7.49 + 3*t^7.61 + 2*t^7.72 + t^7.83 + t^7.85 + 2*t^7.96 + 2*t^8.07 + t^8.08 - t^8.19 + t^8.3 + 2*t^8.41 + 3*t^8.65 + t^8.75 - t^8.88 + 2*t^8.99 - t^4.27/y - t^6.57/y - t^6.81/y + t^7.5/y + (2*t^7.73)/y + t^7.84/y + t^7.97/y + t^8.08/y + t^8.18/y + t^8.31/y + (3*t^8.42)/y + t^8.53/y + (2*t^8.66)/y + (2*t^8.76)/y - t^8.87/y - t^4.27*y - t^6.57*y - t^6.81*y + t^7.5*y + 2*t^7.73*y + t^7.84*y + t^7.97*y + t^8.08*y + t^8.18*y + t^8.31*y + 3*t^8.42*y + t^8.53*y + 2*t^8.66*y + 2*t^8.76*y - t^8.87*y | g1^6*t^2.19 + t^2.3/g1^32 + t^2.54/g1^4 + t^2.88/g1^14 + g1^14*t^3.12 + t^3.23/g1^24 + g1^4*t^3.46 + t^3.81/g1^6 + g1^22*t^4.04 + g1^12*t^4.39 + t^4.5/g1^26 + t^4.6/g1^64 + 2*g1^2*t^4.73 + t^4.84/g1^36 + (2*t^5.08)/g1^8 + t^5.18/g1^46 + g1^20*t^5.31 + (2*t^5.42)/g1^18 + t^5.53/g1^56 + g1^10*t^5.66 + (2*t^5.76)/g1^28 + (2*t^6.11)/g1^38 + g1^28*t^6.24 + (2*t^6.34)/g1^10 + t^6.45/g1^48 + g1^18*t^6.58 + t^6.69/g1^20 + t^6.8/g1^58 + t^6.91/g1^96 + g1^8*t^6.92 + (2*t^7.03)/g1^30 + t^7.14/g1^68 + (2*t^7.27)/g1^2 + (2*t^7.38)/g1^40 + t^7.49/g1^78 + (3*t^7.61)/g1^12 + (2*t^7.72)/g1^50 + t^7.83/g1^88 + g1^16*t^7.85 + (2*t^7.96)/g1^22 + (2*t^8.07)/g1^60 + g1^44*t^8.08 - g1^6*t^8.19 + t^8.3/g1^32 + (2*t^8.41)/g1^70 + (3*t^8.65)/g1^42 + t^8.75/g1^80 - t^8.88/g1^14 + (2*t^8.99)/g1^52 - t^4.27/(g1^2*y) - t^6.57/(g1^34*y) - t^6.81/(g1^6*y) + t^7.5/(g1^26*y) + (2*g1^2*t^7.73)/y + t^7.84/(g1^36*y) + (g1^30*t^7.97)/y + t^8.08/(g1^8*y) + t^8.18/(g1^46*y) + (g1^20*t^8.31)/y + (3*t^8.42)/(g1^18*y) + t^8.53/(g1^56*y) + (2*g1^10*t^8.66)/y + (2*t^8.76)/(g1^28*y) - t^8.87/(g1^66*y) - (t^4.27*y)/g1^2 - (t^6.57*y)/g1^34 - (t^6.81*y)/g1^6 + (t^7.5*y)/g1^26 + 2*g1^2*t^7.73*y + (t^7.84*y)/g1^36 + g1^30*t^7.97*y + (t^8.08*y)/g1^8 + (t^8.18*y)/g1^46 + g1^20*t^8.31*y + (3*t^8.42*y)/g1^18 + (t^8.53*y)/g1^56 + 2*g1^10*t^8.66*y + (2*t^8.76*y)/g1^28 - (t^8.87*y)/g1^66 |
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 |
|---|---|---|---|---|---|---|---|---|
| 57062 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3M_4$ + $ \phi_1q_1q_2$ + $ M_1X_1$ + $ M_5q_1\tilde{q}_2$ + $ M_2M_5$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_2M_6$ | 0.559 | 0.6976 | 0.8013 | [X:[1.5652], M:[0.4348, 1.0435, 1.3043, 0.6957, 0.9565, 0.9565], q:[0.6522, 0.913], qb:[0.3043, 0.3913], phi:[0.4348]] | t^2.09 + t^2.61 + 2*t^2.87 + t^3.13 + t^3.39 + 2*t^3.65 + t^3.91 + t^4.17 + 2*t^4.7 + 2*t^4.96 + 2*t^5.22 + 2*t^5.48 + 4*t^5.74 + t^6. - t^4.3/y - t^4.3*y | detail | {a: 108819/194672, c: 67899/97336, X1: 36/23, M1: 10/23, M2: 24/23, M3: 30/23, M4: 16/23, M5: 22/23, M6: 22/23, q1: 15/23, q2: 21/23, qb1: 7/23, qb2: 9/23, phi1: 10/23} |
| 57063 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3M_4$ + $ \phi_1q_1q_2$ + $ M_1X_1$ + $ M_5q_1\tilde{q}_2$ + $ M_2M_5$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_2M_7$ | 0.577 | 0.7207 | 0.8006 | [X:[1.575], M:[0.425, 0.9752, 1.2751, 0.7249, 1.0248, 0.8004, 1.0248], q:[0.6375, 0.9374], qb:[0.3873, 0.3376], phi:[0.425]] | t^2.17 + t^2.4 + t^2.55 + 2*t^3.07 + t^3.3 + t^3.45 + t^3.83 + t^3.97 + t^4.35 + t^4.58 + 2*t^4.72 + t^4.8 + t^4.95 + t^5.1 + 2*t^5.25 + 2*t^5.48 + 2*t^5.62 + t^5.7 + t^5.85 - t^6. - t^4.28/y - t^4.28*y | detail | |
| 57061 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3M_4$ + $ \phi_1q_1q_2$ + $ M_1X_1$ + $ M_5q_1\tilde{q}_2$ + $ M_2M_5$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_6^2$ | 0.5487 | 0.6855 | 0.8005 | [X:[1.5625], M:[0.4375, 1.0625, 1.3125, 0.6875, 0.9375, 1.0], q:[0.6562, 0.9062], qb:[0.2812, 0.4062], phi:[0.4375]] | t^2.06 + t^2.62 + t^2.81 + t^3. + t^3.19 + t^3.38 + t^3.56 + t^3.75 + t^3.94 + t^4.12 + 2*t^4.69 + t^4.88 + t^5.06 + 2*t^5.25 + t^5.44 + 2*t^5.62 + 2*t^5.81 + t^6. - t^4.31/y - t^4.31*y | detail | {a: 71925/131072, c: 89845/131072, X1: 25/16, M1: 7/16, M2: 17/16, M3: 21/16, M4: 11/16, M5: 15/16, M6: 1, q1: 21/32, q2: 29/32, qb1: 9/32, qb2: 13/32, phi1: 7/16} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 48117 | 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_3M_4$ + $ \phi_1q_1q_2$ + $ M_1X_1$ + $ M_5q_1\tilde{q}_2$ + $ M_2M_5$ | 0.563 | 0.6963 | 0.8086 | [X:[1.5736], M:[0.4264, 0.9848, 1.2792, 0.7208, 1.0152], q:[0.6396, 0.934], qb:[0.3756, 0.3452], phi:[0.4264]] | t^2.16 + t^2.56 + t^2.95 + t^3.05 + t^3.35 + t^3.44 + t^3.53 + t^3.84 + t^3.93 + t^4.32 + 2*t^4.72 + 2*t^5.12 + t^5.21 + t^5.51 + t^5.6 + t^5.7 + t^5.91 - t^4.28/y - t^4.28*y | detail |