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 |
|---|---|---|---|---|---|---|---|---|---|
| 3189 | 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_3M_6$ + $ \phi_1q_1\tilde{q}_2$ + $ M_7\phi_1\tilde{q}_1^2$ | 0.5978 | 0.762 | 0.7845 | [X:[], M:[1.0258, 0.6737, 0.9742, 0.7254, 1.2746, 1.0258, 0.7981], q:[0.6373, 0.3369], qb:[0.3885, 0.9378], phi:[0.4249]] | [X:[], M:[[14], [-22], [-14], [6], [-6], [14], [-32]], q:[[-3], [-11]], qb:[[17], [5]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_4$, $ M_7$, $ \phi_1^2$, $ M_1$, $ M_6$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ M_5$, $ M_2^2$, $ M_2M_4$, $ \phi_1q_1q_2$, $ M_4^2$, $ \phi_1q_1\tilde{q}_1$, $ M_2M_7$, $ M_4M_7$, $ M_2\phi_1^2$, $ M_4\phi_1^2$, $ q_1\tilde{q}_2$, $ M_7^2$, $ M_7\phi_1^2$, $ M_1M_2$, $ M_2M_6$, $ \phi_1^4$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_1M_4$, $ M_4M_6$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2\phi_1q_2^2$, $ M_1M_7$, $ M_6M_7$, $ M_4\phi_1q_2^2$, $ M_1\phi_1^2$, $ M_6\phi_1^2$, $ M_4\phi_1q_2\tilde{q}_1$, $ M_7\phi_1q_2^2$, $ M_2M_5$, $ \phi_1^3q_2^2$, $ M_7\phi_1q_2\tilde{q}_1$ | $\phi_1^3q_2\tilde{q}_1$ | -1 | t^2.02 + t^2.18 + t^2.39 + t^2.55 + 2*t^3.08 + t^3.3 + t^3.45 + t^3.82 + t^4.04 + t^4.2 + t^4.35 + t^4.42 + 2*t^4.57 + 2*t^4.73 + t^4.79 + t^4.94 + 3*t^5.1 + 2*t^5.25 + t^5.32 + 3*t^5.47 + 2*t^5.63 + t^5.69 + 2*t^5.85 - t^6. + t^6.06 + 2*t^6.15 + 2*t^6.22 + 2*t^6.37 + t^6.44 + t^6.53 + 3*t^6.59 + 2*t^6.75 + t^6.81 + t^6.9 + 2*t^6.96 - t^7.06 + 5*t^7.12 + t^7.18 + 2*t^7.27 + 2*t^7.34 + 4*t^7.49 + 4*t^7.65 + t^7.71 + 2*t^7.8 + 4*t^7.87 + 2*t^8.08 + t^8.18 + 3*t^8.24 + t^8.33 + t^8.39 + t^8.46 + t^8.55 + 4*t^8.61 + 3*t^8.77 + t^8.83 + 3*t^8.99 - t^4.27/y - t^6.3/y - t^6.67/y - t^6.82/y + (2*t^7.2)/y - t^7.35/y + t^7.42/y + (2*t^7.57)/y + (2*t^7.73)/y + t^7.88/y + t^7.94/y + (2*t^8.1)/y + (3*t^8.25)/y + (4*t^8.47)/y + (3*t^8.63)/y + (2*t^8.85)/y - t^4.27*y - t^6.3*y - t^6.67*y - t^6.82*y + 2*t^7.2*y - t^7.35*y + t^7.42*y + 2*t^7.57*y + 2*t^7.73*y + t^7.88*y + t^7.94*y + 2*t^8.1*y + 3*t^8.25*y + 4*t^8.47*y + 3*t^8.63*y + 2*t^8.85*y | t^2.02/g1^22 + g1^6*t^2.18 + t^2.39/g1^32 + t^2.55/g1^4 + 2*g1^14*t^3.08 + t^3.3/g1^24 + g1^4*t^3.45 + t^3.82/g1^6 + t^4.04/g1^44 + t^4.2/g1^16 + g1^12*t^4.35 + t^4.42/g1^54 + (2*t^4.57)/g1^26 + 2*g1^2*t^4.73 + t^4.79/g1^64 + t^4.94/g1^36 + (3*t^5.1)/g1^8 + 2*g1^20*t^5.25 + t^5.32/g1^46 + (3*t^5.47)/g1^18 + 2*g1^10*t^5.63 + t^5.69/g1^56 + (2*t^5.85)/g1^28 - t^6. + t^6.06/g1^66 + 2*g1^28*t^6.15 + (2*t^6.22)/g1^38 + (2*t^6.37)/g1^10 + t^6.44/g1^76 + g1^18*t^6.53 + (3*t^6.59)/g1^48 + (2*t^6.75)/g1^20 + t^6.81/g1^86 + g1^8*t^6.9 + (2*t^6.96)/g1^58 - g1^36*t^7.06 + (5*t^7.12)/g1^30 + t^7.18/g1^96 + (2*t^7.27)/g1^2 + (2*t^7.34)/g1^68 + (4*t^7.49)/g1^40 + (4*t^7.65)/g1^12 + t^7.71/g1^78 + 2*g1^16*t^7.8 + (4*t^7.87)/g1^50 + (2*t^8.08)/g1^88 + g1^6*t^8.18 + (3*t^8.24)/g1^60 + g1^34*t^8.33 + t^8.39/g1^32 + t^8.46/g1^98 + t^8.55/g1^4 + (4*t^8.61)/g1^70 + (3*t^8.77)/g1^42 + t^8.83/g1^108 + (3*t^8.99)/g1^80 - t^4.27/(g1^2*y) - t^6.3/(g1^24*y) - t^6.67/(g1^34*y) - t^6.82/(g1^6*y) + (2*t^7.2)/(g1^16*y) - (g1^12*t^7.35)/y + t^7.42/(g1^54*y) + (2*t^7.57)/(g1^26*y) + (2*g1^2*t^7.73)/y + (g1^30*t^7.88)/y + t^7.94/(g1^36*y) + (2*t^8.1)/(g1^8*y) + (3*g1^20*t^8.25)/y + (4*t^8.47)/(g1^18*y) + (3*g1^10*t^8.63)/y + (2*t^8.85)/(g1^28*y) - (t^4.27*y)/g1^2 - (t^6.3*y)/g1^24 - (t^6.67*y)/g1^34 - (t^6.82*y)/g1^6 + (2*t^7.2*y)/g1^16 - g1^12*t^7.35*y + (t^7.42*y)/g1^54 + (2*t^7.57*y)/g1^26 + 2*g1^2*t^7.73*y + g1^30*t^7.88*y + (t^7.94*y)/g1^36 + (2*t^8.1*y)/g1^8 + 3*g1^20*t^8.25*y + (4*t^8.47*y)/g1^18 + 3*g1^10*t^8.63*y + (2*t^8.85*y)/g1^28 |
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 |
|---|---|---|---|---|---|---|---|---|
| 5060 | $M_1q_1q_2$ + $ 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_3M_6$ + $ \phi_1q_1\tilde{q}_2$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_2\phi_1q_2^2$ | 0.5805 | 0.7354 | 0.7894 | [X:[], M:[0.9565, 0.7826, 1.0435, 0.6957, 1.3043, 0.9565, 0.9565], q:[0.6522, 0.3913], qb:[0.3043, 0.913], phi:[0.4348]] | t^2.09 + t^2.35 + t^2.61 + 3*t^2.87 + t^3.39 + t^3.65 + t^3.91 + t^4.17 + t^4.43 + 3*t^4.7 + 4*t^4.96 + 4*t^5.22 + 3*t^5.48 + 6*t^5.74 - t^4.3/y - t^4.3*y | detail | {a: 113013/194672, c: 71583/97336, M1: 22/23, M2: 18/23, M3: 24/23, M4: 16/23, M5: 30/23, M6: 22/23, M7: 22/23, q1: 15/23, q2: 9/23, qb1: 7/23, qb2: 21/23, phi1: 10/23} |
| 5066 | $M_1q_1q_2$ + $ 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_3M_6$ + $ \phi_1q_1\tilde{q}_2$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_5M_8$ | 0.6177 | 0.7989 | 0.7732 | [X:[], M:[1.0242, 0.6763, 0.9758, 0.7246, 1.2754, 1.0242, 0.8019, 0.7246], q:[0.6377, 0.3382], qb:[0.3865, 0.9372], phi:[0.4251]] | t^2.03 + 2*t^2.17 + t^2.41 + t^2.55 + 2*t^3.07 + t^3.3 + t^3.45 + t^4.06 + 2*t^4.2 + 3*t^4.35 + t^4.43 + 3*t^4.58 + 3*t^4.72 + t^4.81 + t^4.96 + 3*t^5.1 + 4*t^5.25 + t^5.33 + 4*t^5.48 + 3*t^5.62 + t^5.71 + t^5.86 - 2*t^6. - t^4.28/y - t^4.28*y | detail | {a: 2941/4761, c: 7607/9522, M1: 212/207, M2: 140/207, M3: 202/207, M4: 50/69, M5: 88/69, M6: 212/207, M7: 166/207, M8: 50/69, q1: 44/69, q2: 70/207, qb1: 80/207, qb2: 194/207, phi1: 88/207} |
| 5059 | $M_1q_1q_2$ + $ 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_3M_6$ + $ \phi_1q_1\tilde{q}_2$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_7^2$ | 0.5703 | 0.7226 | 0.7892 | [X:[], M:[0.9375, 0.8125, 1.0625, 0.6875, 1.3125, 0.9375, 1.0], q:[0.6562, 0.4062], qb:[0.2812, 0.9062], phi:[0.4375]] | t^2.06 + t^2.44 + t^2.62 + 2*t^2.81 + t^3. + t^3.38 + t^3.75 + t^3.94 + t^4.12 + t^4.5 + 2*t^4.69 + 3*t^4.88 + 2*t^5.06 + 3*t^5.25 + 3*t^5.44 + 3*t^5.62 + 3*t^5.81 - t^4.31/y - t^4.31*y | detail | {a: 74745/131072, c: 94713/131072, M1: 15/16, M2: 13/16, M3: 17/16, M4: 11/16, M5: 21/16, M6: 15/16, M7: 1, q1: 21/32, q2: 13/32, qb1: 9/32, qb2: 29/32, phi1: 7/16} |
| 5065 | $M_1q_1q_2$ + $ 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_3M_6$ + $ \phi_1q_1\tilde{q}_2$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_8\phi_1q_2\tilde{q}_1$ | 0.611 | 0.7849 | 0.7783 | [X:[], M:[1.0286, 0.6694, 0.9714, 0.7265, 1.2735, 1.0286, 0.7918, 0.849], q:[0.6367, 0.3347], qb:[0.3919, 0.9388], phi:[0.4245]] | t^2.01 + t^2.18 + t^2.38 + 2*t^2.55 + 2*t^3.09 + t^3.28 + t^3.82 + t^4.02 + t^4.19 + t^4.36 + t^4.38 + 3*t^4.55 + 3*t^4.73 + t^4.75 + 2*t^4.92 + 5*t^5.09 + 2*t^5.27 + t^5.29 + 2*t^5.46 + 3*t^5.63 + t^5.66 + 2*t^5.83 - 2*t^6. - t^4.27/y - t^4.27*y | detail | |
| 5063 | $M_1q_1q_2$ + $ 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_3M_6$ + $ \phi_1q_1\tilde{q}_2$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_8\phi_1q_2^2$ | 0.6081 | 0.7779 | 0.7817 | [X:[], M:[1.0076, 0.7024, 0.9924, 0.7175, 1.2825, 1.0076, 0.8398, 0.8702], q:[0.6412, 0.3512], qb:[0.3664, 0.9313], phi:[0.4275]] | t^2.11 + t^2.15 + t^2.52 + t^2.56 + t^2.61 + 2*t^3.02 + t^3.44 + t^3.85 + t^4.21 + t^4.26 + t^4.31 + t^4.63 + 2*t^4.67 + 3*t^4.72 + t^4.76 + t^5.04 + t^5.08 + 4*t^5.13 + 3*t^5.18 + t^5.22 + 2*t^5.54 + 2*t^5.59 + 2*t^5.63 + t^5.95 - t^6. - t^4.28/y - t^4.28*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2103 | 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_3M_6$ + $ \phi_1q_1\tilde{q}_2$ | 0.5827 | 0.7345 | 0.7934 | [X:[], M:[1.0027, 0.71, 0.9973, 0.7155, 1.2845, 1.0027], q:[0.6423, 0.355], qb:[0.3605, 0.9296], phi:[0.4282]] | t^2.13 + t^2.15 + t^2.57 + 2*t^3.01 + t^3.41 + t^3.43 + t^3.45 + t^3.85 + t^4.26 + t^4.28 + t^4.29 + t^4.7 + 2*t^4.72 + 3*t^5.14 + 2*t^5.15 + t^5.54 + t^5.56 + 3*t^5.58 + t^5.59 + t^5.98 - t^6. - t^4.28/y - t^4.28*y | detail |