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 |
|---|---|---|---|---|---|---|---|---|---|
| 3542 | 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_1M_3$ + $ M_3M_5$ + $ M_2\phi_1^2$ + $ \phi_1q_2^2$ + $ M_6\phi_1q_1\tilde{q}_1$ + $ M_7\phi_1\tilde{q}_1^2$ | 0.716 | 0.9276 | 0.7718 | [X:[], M:[0.8326, 1.0558, 1.1674, 0.7211, 0.8326, 0.6953, 0.6694], q:[0.4034, 0.7639], qb:[0.4292, 0.515], phi:[0.4721]] | [X:[], M:[[-12], [4], [12], [-20], [-12], [14], [48]], q:[[11], [1]], qb:[[-23], [19]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_7$, $ M_6$, $ M_4$, $ M_1$, $ M_5$, $ q_1\tilde{q}_2$, $ \phi_1^2$, $ M_2$, $ q_2\tilde{q}_1$, $ \phi_1q_1^2$, $ M_7^2$, $ M_6M_7$, $ M_6^2$, $ M_4M_7$, $ \phi_1q_1\tilde{q}_2$, $ M_4M_6$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ M_1M_7$, $ M_5M_7$, $ \phi_1\tilde{q}_2^2$, $ M_1M_6$, $ M_5M_6$, $ M_1M_4$, $ M_4M_5$, $ M_7q_1\tilde{q}_2$, $ M_7\phi_1^2$, $ M_6q_1\tilde{q}_2$, $ M_6\phi_1^2$, $ \phi_1q_1q_2$, $ M_4q_1\tilde{q}_2$, $ M_1^2$, $ M_1M_5$, $ M_5^2$, $ M_4\phi_1^2$, $ \phi_1q_2\tilde{q}_1$, $ M_2M_7$, $ M_2M_6$, $ M_5q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ M_2M_4$, $ M_1\phi_1^2$, $ M_5\phi_1^2$, $ q_1^2\tilde{q}_2^2$, $ M_7q_2\tilde{q}_1$, $ \phi_1^2q_1\tilde{q}_2$, $ M_1M_2$, $ M_2M_5$, $ \phi_1^4$, $ M_6q_2\tilde{q}_1$, $ M_7\phi_1q_1^2$, $ M_6\phi_1q_1^2$ | $M_4\phi_1q_1^2$ | -1 | t^2.01 + t^2.09 + t^2.16 + 2*t^2.5 + t^2.76 + t^2.83 + t^3.17 + t^3.58 + t^3.84 + t^4.02 + t^4.09 + 3*t^4.17 + 2*t^4.25 + t^4.33 + 3*t^4.51 + 2*t^4.58 + 2*t^4.66 + t^4.76 + 2*t^4.84 + 2*t^4.92 + 4*t^5. + t^5.18 + 3*t^5.25 + 3*t^5.33 + t^5.51 + 2*t^5.59 + 3*t^5.67 + t^5.85 + t^5.92 - t^6. + t^6.02 + t^6.08 + t^6.1 + 3*t^6.18 + 3*t^6.26 + 5*t^6.33 + 2*t^6.41 + t^6.49 + 3*t^6.51 + 4*t^6.59 + 6*t^6.67 + 3*t^6.75 + t^6.77 + 2*t^6.82 + 2*t^6.85 + 4*t^6.93 + 8*t^7. + 3*t^7.08 + 3*t^7.16 + t^7.18 + 4*t^7.26 + 6*t^7.34 + 3*t^7.42 + 5*t^7.49 + t^7.52 + 3*t^7.6 + 4*t^7.67 + 5*t^7.75 + 4*t^7.83 + t^7.85 + t^7.93 + 2*t^8.01 + t^8.03 + t^8.09 + t^8.11 + t^8.16 + 3*t^8.19 - t^8.24 + 4*t^8.27 + 8*t^8.34 + 4*t^8.42 + 3*t^8.52 + 2*t^8.58 + 4*t^8.6 + t^8.65 + 9*t^8.68 + 4*t^8.76 + t^8.78 + 4*t^8.83 + 2*t^8.86 + 2*t^8.91 + 4*t^8.93 + 2*t^8.99 - t^4.42/y - t^6.42/y - t^6.5/y - t^6.58/y - t^6.91/y + t^7.09/y + t^7.17/y + t^7.25/y + (2*t^7.51)/y + (2*t^7.58)/y + (2*t^7.66)/y + t^7.76/y + (2*t^7.84)/y + (3*t^7.92)/y + (2*t^8.)/y + t^8.18/y + (4*t^8.25)/y + (4*t^8.33)/y + t^8.41/y - t^8.43/y - t^8.51/y + (2*t^8.67)/y + t^8.85/y + t^8.92/y - t^4.42*y - t^6.42*y - t^6.5*y - t^6.58*y - t^6.91*y + t^7.09*y + t^7.17*y + t^7.25*y + 2*t^7.51*y + 2*t^7.58*y + 2*t^7.66*y + t^7.76*y + 2*t^7.84*y + 3*t^7.92*y + 2*t^8.*y + t^8.18*y + 4*t^8.25*y + 4*t^8.33*y + t^8.41*y - t^8.43*y - t^8.51*y + 2*t^8.67*y + t^8.85*y + t^8.92*y | g1^48*t^2.01 + g1^14*t^2.09 + t^2.16/g1^20 + (2*t^2.5)/g1^12 + g1^30*t^2.76 + t^2.83/g1^4 + g1^4*t^3.17 + t^3.58/g1^22 + g1^20*t^3.84 + g1^96*t^4.02 + g1^62*t^4.09 + 3*g1^28*t^4.17 + (2*t^4.25)/g1^6 + t^4.33/g1^40 + 3*g1^36*t^4.51 + 2*g1^2*t^4.58 + (2*t^4.66)/g1^32 + g1^78*t^4.76 + 2*g1^44*t^4.84 + 2*g1^10*t^4.92 + (4*t^5.)/g1^24 + g1^52*t^5.18 + 3*g1^18*t^5.25 + (3*t^5.33)/g1^16 + g1^60*t^5.51 + 2*g1^26*t^5.59 + (3*t^5.67)/g1^8 + g1^68*t^5.85 + g1^34*t^5.92 - t^6. + g1^144*t^6.02 + t^6.08/g1^34 + g1^110*t^6.1 + 3*g1^76*t^6.18 + 3*g1^42*t^6.26 + 5*g1^8*t^6.33 + (2*t^6.41)/g1^26 + t^6.49/g1^60 + 3*g1^84*t^6.51 + 4*g1^50*t^6.59 + 6*g1^16*t^6.67 + (3*t^6.75)/g1^18 + g1^126*t^6.77 + (2*t^6.82)/g1^52 + 2*g1^92*t^6.85 + 4*g1^58*t^6.93 + 8*g1^24*t^7. + (3*t^7.08)/g1^10 + (3*t^7.16)/g1^44 + g1^100*t^7.18 + 4*g1^66*t^7.26 + 6*g1^32*t^7.34 + (3*t^7.42)/g1^2 + (5*t^7.49)/g1^36 + g1^108*t^7.52 + 3*g1^74*t^7.6 + 4*g1^40*t^7.67 + 5*g1^6*t^7.75 + (4*t^7.83)/g1^28 + g1^116*t^7.85 + g1^82*t^7.93 + 2*g1^48*t^8.01 + g1^192*t^8.03 + g1^14*t^8.09 + g1^158*t^8.11 + t^8.16/g1^20 + 3*g1^124*t^8.19 - t^8.24/g1^54 + 4*g1^90*t^8.27 + 8*g1^56*t^8.34 + 4*g1^22*t^8.42 + 3*g1^132*t^8.52 + (2*t^8.58)/g1^46 + 4*g1^98*t^8.6 + t^8.65/g1^80 + 9*g1^64*t^8.68 + 4*g1^30*t^8.76 + g1^174*t^8.78 + (4*t^8.83)/g1^4 + 2*g1^140*t^8.86 + (2*t^8.91)/g1^38 + 4*g1^106*t^8.93 + (2*t^8.99)/g1^72 - t^4.42/(g1^2*y) - (g1^46*t^6.42)/y - (g1^12*t^6.5)/y - t^6.58/(g1^22*y) - t^6.91/(g1^14*y) + (g1^62*t^7.09)/y + (g1^28*t^7.17)/y + t^7.25/(g1^6*y) + (2*g1^36*t^7.51)/y + (2*g1^2*t^7.58)/y + (2*t^7.66)/(g1^32*y) + (g1^78*t^7.76)/y + (2*g1^44*t^7.84)/y + (3*g1^10*t^7.92)/y + (2*t^8.)/(g1^24*y) + (g1^52*t^8.18)/y + (4*g1^18*t^8.25)/y + (4*t^8.33)/(g1^16*y) + t^8.41/(g1^50*y) - (g1^94*t^8.43)/y - (g1^60*t^8.51)/y + (2*t^8.67)/(g1^8*y) + (g1^68*t^8.85)/y + (g1^34*t^8.92)/y - (t^4.42*y)/g1^2 - g1^46*t^6.42*y - g1^12*t^6.5*y - (t^6.58*y)/g1^22 - (t^6.91*y)/g1^14 + g1^62*t^7.09*y + g1^28*t^7.17*y + (t^7.25*y)/g1^6 + 2*g1^36*t^7.51*y + 2*g1^2*t^7.58*y + (2*t^7.66*y)/g1^32 + g1^78*t^7.76*y + 2*g1^44*t^7.84*y + 3*g1^10*t^7.92*y + (2*t^8.*y)/g1^24 + g1^52*t^8.18*y + 4*g1^18*t^8.25*y + (4*t^8.33*y)/g1^16 + (t^8.41*y)/g1^50 - g1^94*t^8.43*y - g1^60*t^8.51*y + (2*t^8.67*y)/g1^8 + g1^68*t^8.85*y + g1^34*t^8.92*y |
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 |
|---|---|---|---|---|---|---|---|---|
| 5218 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ M_2\phi_1^2$ + $ \phi_1q_2^2$ + $ M_6\phi_1q_1\tilde{q}_1$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_6M_7$ + $ M_4X_1$ | 0.5488 | 0.702 | 0.7817 | [X:[1.4839], M:[0.7097, 1.0968, 1.2903, 0.5161, 0.7097, 0.8387, 1.1613], q:[0.5161, 0.7742], qb:[0.1935, 0.7097], phi:[0.4516]] | 2*t^2.13 + t^2.52 + t^2.71 + t^2.9 + t^3.29 + t^3.48 + t^3.68 + t^4.06 + 3*t^4.26 + t^4.45 + 2*t^4.65 + 2*t^4.84 + 3*t^5.03 + t^5.23 + 3*t^5.42 + 3*t^5.61 + 2*t^5.81 - t^6. - t^4.35/y - t^4.35*y | detail | {a: 16350/29791, c: 83659/119164, X1: 46/31, M1: 22/31, M2: 34/31, M3: 40/31, M4: 16/31, M5: 22/31, M6: 26/31, M7: 36/31, q1: 16/31, q2: 24/31, qb1: 6/31, qb2: 22/31, phi1: 14/31} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 2954 | 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_1M_3$ + $ M_3M_5$ + $ M_2\phi_1^2$ + $ \phi_1q_2^2$ + $ M_6\phi_1q_1\tilde{q}_1$ | 0.6952 | 0.8862 | 0.7845 | [X:[], M:[0.8322, 1.0559, 1.1678, 0.7204, 0.8322, 0.6957], q:[0.4038, 0.764], qb:[0.4285, 0.5156], phi:[0.472]] | t^2.09 + t^2.16 + 2*t^2.5 + t^2.76 + t^2.83 + t^3.17 + t^3.58 + t^3.84 + t^3.99 + 2*t^4.17 + 2*t^4.25 + t^4.32 + t^4.51 + 2*t^4.58 + 2*t^4.66 + t^4.85 + 2*t^4.92 + 4*t^4.99 + 3*t^5.25 + 3*t^5.33 + t^5.52 + t^5.59 + 3*t^5.66 + t^5.93 - t^6. - t^4.42/y - t^4.42*y | detail |