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 |
|---|---|---|---|---|---|---|---|---|---|
| 2341 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_3M_6$ + $ M_6q_2\tilde{q}_1$ + $ M_7q_1\tilde{q}_2$ | 0.6308 | 0.8234 | 0.7661 | [X:[], M:[1.0, 1.0808, 0.8384, 0.702, 0.7576, 1.1616, 0.6768], q:[0.7702, 0.2298], qb:[0.6086, 0.553], phi:[0.4596]] | [X:[], M:[[0], [4], [-8], [10], [-12], [8], [-16]], q:[[1], [-1]], qb:[[-7], [15]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_7$, $ M_4$, $ M_5$, $ q_2\tilde{q}_2$, $ q_2\tilde{q}_1$, $ \phi_1q_2^2$, $ M_1$, $ M_2$, $ M_6$, $ M_7^2$, $ M_4M_7$, $ q_1\tilde{q}_1$, $ M_4^2$, $ M_5M_7$, $ M_4M_5$, $ \phi_1q_1q_2$, $ M_7q_2\tilde{q}_2$, $ M_4q_2\tilde{q}_2$, $ M_5^2$, $ M_7q_2\tilde{q}_1$, $ M_4q_2\tilde{q}_1$, $ M_5q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ q_2^2\tilde{q}_2^2$, $ M_7\phi_1q_2^2$, $ M_5q_2\tilde{q}_1$, $ M_4\phi_1q_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ M_1M_7$, $ M_5\phi_1q_2^2$, $ \phi_1\tilde{q}_1^2$, $ q_2^2\tilde{q}_1^2$, $ M_1M_4$, $ \phi_1q_2^3\tilde{q}_2$, $ M_1M_5$, $ M_2M_7$, $ \phi_1q_2^3\tilde{q}_1$, $ M_2M_4$, $ \phi_1q_1\tilde{q}_2$, $ M_2M_5$, $ M_6M_7$, $ \phi_1^2q_2^4$, $ \phi_1q_1\tilde{q}_1$, $ M_4M_6$, $ M_2q_2\tilde{q}_2$, $ M_5M_6$, $ M_2q_2\tilde{q}_1$ | . | -1 | t^2.03 + t^2.11 + t^2.27 + t^2.35 + t^2.52 + t^2.76 + t^3. + t^3.24 + t^3.48 + t^4.06 + 2*t^4.14 + t^4.21 + t^4.3 + 2*t^4.38 + t^4.45 + 2*t^4.55 + 2*t^4.62 + 2*t^4.7 + 2*t^4.79 + 2*t^4.86 + 3*t^5.03 + 2*t^5.11 + 3*t^5.27 + 2*t^5.35 + 4*t^5.52 + 2*t^5.59 + 2*t^5.76 - t^6. + t^6.09 + t^6.17 + 2*t^6.24 + t^6.32 + t^6.33 + 2*t^6.41 + 3*t^6.48 + t^6.56 + 2*t^6.58 + 3*t^6.65 + 3*t^6.73 + 2*t^6.8 + 3*t^6.82 + 3*t^6.89 + 3*t^6.97 + 2*t^7.04 + 4*t^7.06 + 4*t^7.14 + 2*t^7.21 + 5*t^7.3 + 4*t^7.38 + 3*t^7.45 + 6*t^7.55 + 5*t^7.62 + 3*t^7.7 + 5*t^7.79 + 3*t^7.86 + t^7.94 + 2*t^8.03 - t^8.11 + t^8.12 + t^8.18 + t^8.2 + 2*t^8.27 + t^8.36 + t^8.42 + t^8.44 + t^8.52 + t^8.59 + 2*t^8.61 + t^8.67 + 3*t^8.68 + t^8.76 + 4*t^8.83 + 3*t^8.85 + 2*t^8.91 + 3*t^8.92 - t^4.38/y - t^6.41/y - t^6.48/y - t^6.65/y + t^7.14/y + t^7.3/y + (2*t^7.38)/y + t^7.45/y + t^7.55/y + (2*t^7.62)/y + (2*t^7.79)/y + (2*t^7.86)/y + (2*t^8.03)/y + (3*t^8.11)/y + (4*t^8.27)/y + (3*t^8.35)/y - t^8.44/y + (2*t^8.52)/y + t^8.59/y - t^8.68/y + (2*t^8.76)/y + t^8.83/y - t^8.92/y - t^4.38*y - t^6.41*y - t^6.48*y - t^6.65*y + t^7.14*y + t^7.3*y + 2*t^7.38*y + t^7.45*y + t^7.55*y + 2*t^7.62*y + 2*t^7.79*y + 2*t^7.86*y + 2*t^8.03*y + 3*t^8.11*y + 4*t^8.27*y + 3*t^8.35*y - t^8.44*y + 2*t^8.52*y + t^8.59*y - t^8.68*y + 2*t^8.76*y + t^8.83*y - t^8.92*y | t^2.03/g1^16 + g1^10*t^2.11 + t^2.27/g1^12 + g1^14*t^2.35 + t^2.52/g1^8 + t^2.76/g1^4 + t^3. + g1^4*t^3.24 + g1^8*t^3.48 + t^4.06/g1^32 + (2*t^4.14)/g1^6 + g1^20*t^4.21 + t^4.3/g1^28 + (2*t^4.38)/g1^2 + g1^24*t^4.45 + (2*t^4.55)/g1^24 + 2*g1^2*t^4.62 + 2*g1^28*t^4.7 + (2*t^4.79)/g1^20 + 2*g1^6*t^4.86 + (3*t^5.03)/g1^16 + 2*g1^10*t^5.11 + (3*t^5.27)/g1^12 + 2*g1^14*t^5.35 + (4*t^5.52)/g1^8 + 2*g1^18*t^5.59 + (2*t^5.76)/g1^4 - t^6. + t^6.09/g1^48 + t^6.17/g1^22 + 2*g1^4*t^6.24 + g1^30*t^6.32 + t^6.33/g1^44 + (2*t^6.41)/g1^18 + 3*g1^8*t^6.48 + g1^34*t^6.56 + (2*t^6.58)/g1^40 + (3*t^6.65)/g1^14 + 3*g1^12*t^6.73 + 2*g1^38*t^6.8 + (3*t^6.82)/g1^36 + (3*t^6.89)/g1^10 + 3*g1^16*t^6.97 + 2*g1^42*t^7.04 + (4*t^7.06)/g1^32 + (4*t^7.14)/g1^6 + 2*g1^20*t^7.21 + (5*t^7.3)/g1^28 + (4*t^7.38)/g1^2 + 3*g1^24*t^7.45 + (6*t^7.55)/g1^24 + 5*g1^2*t^7.62 + 3*g1^28*t^7.7 + (5*t^7.79)/g1^20 + 3*g1^6*t^7.86 + g1^32*t^7.94 + (2*t^8.03)/g1^16 - g1^10*t^8.11 + t^8.12/g1^64 + g1^36*t^8.18 + t^8.2/g1^38 + (2*t^8.27)/g1^12 + t^8.36/g1^60 + g1^40*t^8.42 + t^8.44/g1^34 + t^8.52/g1^8 + g1^18*t^8.59 + (2*t^8.61)/g1^56 + g1^44*t^8.67 + (3*t^8.68)/g1^30 + t^8.76/g1^4 + 4*g1^22*t^8.83 + (3*t^8.85)/g1^52 + 2*g1^48*t^8.91 + (3*t^8.92)/g1^26 - t^4.38/(g1^2*y) - t^6.41/(g1^18*y) - (g1^8*t^6.48)/y - t^6.65/(g1^14*y) + t^7.14/(g1^6*y) + t^7.3/(g1^28*y) + (2*t^7.38)/(g1^2*y) + (g1^24*t^7.45)/y + t^7.55/(g1^24*y) + (2*g1^2*t^7.62)/y + (2*t^7.79)/(g1^20*y) + (2*g1^6*t^7.86)/y + (2*t^8.03)/(g1^16*y) + (3*g1^10*t^8.11)/y + (4*t^8.27)/(g1^12*y) + (3*g1^14*t^8.35)/y - t^8.44/(g1^34*y) + (2*t^8.52)/(g1^8*y) + (g1^18*t^8.59)/y - t^8.68/(g1^30*y) + (2*t^8.76)/(g1^4*y) + (g1^22*t^8.83)/y - t^8.92/(g1^26*y) - (t^4.38*y)/g1^2 - (t^6.41*y)/g1^18 - g1^8*t^6.48*y - (t^6.65*y)/g1^14 + (t^7.14*y)/g1^6 + (t^7.3*y)/g1^28 + (2*t^7.38*y)/g1^2 + g1^24*t^7.45*y + (t^7.55*y)/g1^24 + 2*g1^2*t^7.62*y + (2*t^7.79*y)/g1^20 + 2*g1^6*t^7.86*y + (2*t^8.03*y)/g1^16 + 3*g1^10*t^8.11*y + (4*t^8.27*y)/g1^12 + 3*g1^14*t^8.35*y - (t^8.44*y)/g1^34 + (2*t^8.52*y)/g1^8 + g1^18*t^8.59*y - (t^8.68*y)/g1^30 + (2*t^8.76*y)/g1^4 + g1^22*t^8.83*y - (t^8.92*y)/g1^26 |
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 |
|---|---|---|---|---|---|---|---|---|
| 4333 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_3M_6$ + $ M_6q_2\tilde{q}_1$ + $ M_7q_1\tilde{q}_2$ + $ M_8\phi_1q_2^2$ | 0.6235 | 0.811 | 0.7688 | [X:[], M:[1.0, 1.0787, 0.8427, 0.6967, 0.764, 1.1573, 0.6853, 1.0787], q:[0.7697, 0.2303], qb:[0.6123, 0.545], phi:[0.4607]] | t^2.06 + t^2.09 + t^2.29 + t^2.33 + t^2.53 + t^3. + 2*t^3.24 + t^3.47 + t^4.11 + 2*t^4.15 + t^4.18 + t^4.35 + 2*t^4.38 + t^4.42 + 2*t^4.58 + 2*t^4.62 + 2*t^4.65 + t^4.82 + t^4.85 + 2*t^5.06 + t^5.09 + 3*t^5.29 + 3*t^5.33 + 4*t^5.53 + 3*t^5.56 + 2*t^5.76 - 2*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1298 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_3M_6$ + $ M_6q_2\tilde{q}_1$ | 0.61 | 0.7825 | 0.7796 | [X:[], M:[1.0, 1.0801, 0.8398, 0.7003, 0.7597, 1.1602], q:[0.77, 0.23], qb:[0.6098, 0.5504], phi:[0.4599]] | t^2.1 + t^2.28 + t^2.34 + t^2.52 + t^2.76 + t^3. + t^3.24 + t^3.48 + t^3.96 + t^4.14 + t^4.2 + t^4.38 + t^4.44 + t^4.56 + 2*t^4.62 + 2*t^4.68 + t^4.8 + 2*t^4.86 + 2*t^5.04 + 2*t^5.1 + 2*t^5.28 + 2*t^5.34 + 3*t^5.52 + 2*t^5.58 + 2*t^5.76 - t^6. - t^4.38/y - t^4.38*y | detail |