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 |
|---|---|---|---|---|---|---|---|---|---|
| 3030 | 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_2\phi_1^2$ + $ M_4\phi_1q_2^2$ + $ M_1M_4$ + $ M_1M_5$ + $ M_6q_1\tilde{q}_1$ + $ M_7\phi_1^2$ | 0.6618 | 0.823 | 0.8042 | [X:[], M:[1.1565, 1.0884, 0.9456, 0.8435, 0.8435, 0.7347, 1.0884], q:[0.7721, 0.3503], qb:[0.4932, 0.5612], phi:[0.4558]] | [X:[], M:[[8], [-4], [10], [-8], [-8], [12], [-4]], q:[[-1], [3]], qb:[[-11], [1]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_4$, $ M_5$, $ M_3$, $ M_2$, $ M_7$, $ q_1q_2$, $ \phi_1q_2\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_6^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4M_6$, $ M_5M_6$, $ \phi_1\tilde{q}_2^2$, $ M_3M_6$, $ M_4^2$, $ M_4M_5$, $ M_5^2$, $ M_3M_4$, $ M_3M_5$, $ M_2M_6$, $ M_6M_7$, $ M_3^2$, $ M_2M_4$, $ M_2M_5$, $ M_4M_7$, $ M_5M_7$, $ M_4q_1q_2$, $ M_5q_1q_2$ | . | -3 | t^2.2 + 2*t^2.53 + t^2.84 + 2*t^3.27 + t^3.37 + t^3.9 + t^4. + t^4.1 + t^4.33 + t^4.41 + t^4.53 + 3*t^4.73 + t^5.04 + 3*t^5.06 + t^5.37 + 2*t^5.47 + t^5.67 + 3*t^5.8 + 2*t^5.9 - 3*t^6. + 2*t^6.1 + t^6.2 + t^6.31 + t^6.43 + 4*t^6.53 + t^6.61 + t^6.63 + 2*t^6.86 + 3*t^6.94 + t^7.06 + t^7.16 + t^7.24 + 5*t^7.27 + t^7.37 + t^7.57 + 5*t^7.59 + 2*t^7.67 + t^7.88 + t^7.9 + 3*t^8. + t^8.1 - 2*t^8.2 + t^8.22 + 2*t^8.31 + 4*t^8.33 + 3*t^8.43 + 2*t^8.51 - 6*t^8.53 + t^8.63 + t^8.65 + 4*t^8.73 + t^8.82 - 2*t^8.84 + t^8.86 + t^8.96 - t^4.37/y - t^6.57/y - t^6.9/y + t^7.1/y - t^7.2/y + t^7.53/y - t^7.63/y + (2*t^7.73)/y + t^7.84/y + t^8.04/y + t^8.06/y + t^8.16/y + (2*t^8.37)/y + (2*t^8.47)/y + t^8.57/y - t^8.78/y + (4*t^8.8)/y + (2*t^8.9)/y - t^4.37*y - t^6.57*y - t^6.9*y + t^7.1*y - t^7.2*y + t^7.53*y - t^7.63*y + 2*t^7.73*y + t^7.84*y + t^8.04*y + t^8.06*y + t^8.16*y + 2*t^8.37*y + 2*t^8.47*y + t^8.57*y - t^8.78*y + 4*t^8.8*y + 2*t^8.9*y | g1^12*t^2.2 + (2*t^2.53)/g1^8 + g1^10*t^2.84 + (2*t^3.27)/g1^4 + g1^2*t^3.37 + t^3.9/g1^6 + t^4. + g1^6*t^4.1 + t^4.33/g1^20 + g1^24*t^4.41 + t^4.53/g1^8 + 3*g1^4*t^4.73 + g1^22*t^5.04 + (3*t^5.06)/g1^16 + g1^2*t^5.37 + 2*g1^8*t^5.47 + g1^20*t^5.67 + (3*t^5.8)/g1^12 + (2*t^5.9)/g1^6 - 3*t^6. + 2*g1^6*t^6.1 + g1^12*t^6.2 + g1^18*t^6.31 + t^6.43/g1^14 + (4*t^6.53)/g1^8 + g1^36*t^6.61 + t^6.63/g1^2 + (2*t^6.86)/g1^28 + 3*g1^16*t^6.94 + t^7.06/g1^16 + t^7.16/g1^10 + g1^34*t^7.24 + (5*t^7.27)/g1^4 + g1^2*t^7.37 + g1^14*t^7.57 + (5*t^7.59)/g1^24 + 2*g1^20*t^7.67 + g1^32*t^7.88 + t^7.9/g1^6 + 3*t^8. + g1^6*t^8.1 - 2*g1^12*t^8.2 + t^8.22/g1^26 + 2*g1^18*t^8.31 + (4*t^8.33)/g1^20 + (3*t^8.43)/g1^14 + 2*g1^30*t^8.51 - (6*t^8.53)/g1^8 + t^8.63/g1^2 + t^8.65/g1^40 + 4*g1^4*t^8.73 + g1^48*t^8.82 - 2*g1^10*t^8.84 + t^8.86/g1^28 + t^8.96/g1^22 - (g1^2*t^4.37)/y - (g1^14*t^6.57)/y - t^6.9/(g1^6*y) + (g1^6*t^7.1)/y - (g1^12*t^7.2)/y + t^7.53/(g1^8*y) - t^7.63/(g1^2*y) + (2*g1^4*t^7.73)/y + (g1^10*t^7.84)/y + (g1^22*t^8.04)/y + t^8.06/(g1^16*y) + t^8.16/(g1^10*y) + (2*g1^2*t^8.37)/y + (2*g1^8*t^8.47)/y + (g1^14*t^8.57)/y - (g1^26*t^8.78)/y + (4*t^8.8)/(g1^12*y) + (2*t^8.9)/(g1^6*y) - g1^2*t^4.37*y - g1^14*t^6.57*y - (t^6.9*y)/g1^6 + g1^6*t^7.1*y - g1^12*t^7.2*y + (t^7.53*y)/g1^8 - (t^7.63*y)/g1^2 + 2*g1^4*t^7.73*y + g1^10*t^7.84*y + g1^22*t^8.04*y + (t^8.06*y)/g1^16 + (t^8.16*y)/g1^10 + 2*g1^2*t^8.37*y + 2*g1^8*t^8.47*y + g1^14*t^8.57*y - g1^26*t^8.78*y + (4*t^8.8*y)/g1^12 + (2*t^8.9*y)/g1^6 |
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 |
|---|---|---|---|---|---|---|---|---|
| 4900 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2^2$ + $ M_1M_4$ + $ M_1M_5$ + $ M_6q_1\tilde{q}_1$ + $ M_7\phi_1^2$ + $ M_3M_6$ | 0.627 | 0.7918 | 0.7919 | [X:[], M:[1.2727, 1.0303, 1.0909, 0.7273, 0.7273, 0.9091, 1.0303], q:[0.7576, 0.3939], qb:[0.3333, 0.5758], phi:[0.4848]] | 2*t^2.18 + t^2.73 + 2*t^3.09 + t^3.27 + 2*t^3.45 + t^3.64 + t^4. + t^4.18 + 4*t^4.36 + 3*t^4.91 + 3*t^5.27 + 2*t^5.45 + 4*t^5.64 + 3*t^5.82 - 2*t^6. - t^4.45/y - t^4.45*y | detail | {a: 13353/21296, c: 8431/10648, M1: 14/11, M2: 34/33, M3: 12/11, M4: 8/11, M5: 8/11, M6: 10/11, M7: 34/33, q1: 25/33, q2: 13/33, qb1: 1/3, qb2: 19/33, phi1: 16/33} |
| 4901 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2^2$ + $ M_1M_4$ + $ M_1M_5$ + $ M_6q_1\tilde{q}_1$ + $ M_7\phi_1^2$ + $ M_3M_8$ | 0.6581 | 0.8183 | 0.8042 | [X:[], M:[1.1793, 1.077, 0.9741, 0.8207, 0.8207, 0.7689, 1.077, 1.0259], q:[0.7693, 0.3589], qb:[0.4618, 0.5641], phi:[0.4615]] | t^2.31 + 2*t^2.46 + t^3.08 + 2*t^3.23 + t^3.38 + t^3.85 + t^4. + t^4.15 + t^4.16 + t^4.46 + t^4.61 + 3*t^4.77 + 3*t^4.92 + 4*t^5.54 + 3*t^5.69 + 2*t^5.85 - 3*t^6. - t^4.38/y - t^4.38*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1978 | 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_2\phi_1^2$ + $ M_4\phi_1q_2^2$ + $ M_1M_4$ + $ M_1M_5$ + $ M_6q_1\tilde{q}_1$ | 0.6701 | 0.8368 | 0.8008 | [X:[], M:[1.148, 1.0927, 0.9349, 0.852, 0.852, 0.7219], q:[0.7732, 0.3472], qb:[0.5049, 0.5602], phi:[0.4537]] | t^2.17 + 2*t^2.56 + t^2.72 + t^2.8 + t^3.28 + t^3.36 + t^3.92 + t^4. + t^4.08 + t^4.33 + t^4.39 + t^4.56 + 3*t^4.72 + t^4.89 + t^4.97 + 3*t^5.11 + 2*t^5.28 + t^5.36 + 2*t^5.44 + t^5.53 + t^5.61 + t^5.83 + 2*t^5.92 - 2*t^6. - t^4.36/y - t^4.36*y | detail |