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 |
|---|---|---|---|---|---|---|---|---|---|
| 2411 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_2$ + $ M_1X_1$ + $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_2M_7$ | 0.6728 | 0.8548 | 0.7871 | [X:[1.5604], M:[0.4396, 1.1868, 0.7802, 0.8792, 0.7802, 0.6812, 0.8132], q:[0.7967, 0.7637], qb:[0.4561, 0.3571], phi:[0.4066]] | [X:[[12]], M:[[-12], [4], [6], [-24], [6], [36], [-4]], q:[[1], [11]], qb:[[-17], [13]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_3$, $ M_5$, $ M_7$, $ \phi_1^2$, $ M_4$, $ q_2\tilde{q}_2$, $ q_1\tilde{q}_2$, $ q_1\tilde{q}_1$, $ M_6^2$, $ M_3M_6$, $ M_5M_6$, $ M_6M_7$, $ M_6\phi_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_3^2$, $ M_3M_5$, $ M_5^2$, $ M_4M_6$, $ \phi_1q_1\tilde{q}_2$, $ X_1$, $ M_3M_7$, $ M_5M_7$, $ M_3\phi_1^2$, $ M_5\phi_1^2$, $ M_7^2$, $ M_7\phi_1^2$, $ \phi_1^4$, $ \phi_1q_2\tilde{q}_1$, $ M_3M_4$, $ M_4M_5$, $ \phi_1q_1\tilde{q}_1$, $ M_4M_7$, $ M_4\phi_1^2$, $ M_4^2$, $ M_6q_2\tilde{q}_2$, $ M_6q_1\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ M_5q_2\tilde{q}_2$, $ \phi_1q_2^2$, $ M_6q_1\tilde{q}_1$, $ M_3q_1\tilde{q}_2$, $ M_5q_1\tilde{q}_2$, $ M_7q_2\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ \phi_1q_1q_2$, $ M_7q_1\tilde{q}_2$, $ \phi_1^2q_1\tilde{q}_2$ | . | -3 | t^2.04 + 2*t^2.34 + 2*t^2.44 + t^2.64 + t^3.36 + t^3.46 + t^3.76 + t^4.09 + 2*t^4.38 + 2*t^4.48 + t^4.58 + 5*t^4.68 + 3*t^4.78 + 4*t^4.88 + 2*t^4.98 + t^5.08 + t^5.28 + t^5.41 + t^5.5 + t^5.7 + 6*t^5.8 + t^5.9 - 3*t^6. + 2*t^6.1 + t^6.13 + t^6.2 - 2*t^6.3 + t^6.4 + 2*t^6.43 + 2*t^6.53 + t^6.63 + 6*t^6.72 + 4*t^6.82 + 4*t^6.92 + 8*t^7.02 + 5*t^7.12 + 4*t^7.22 + 8*t^7.32 + t^7.42 + t^7.45 + t^7.52 + t^7.55 + 2*t^7.62 + t^7.72 + t^7.75 + 6*t^7.85 + t^7.91 + 2*t^7.94 - t^8.04 + 7*t^8.14 + t^8.17 + 5*t^8.24 - 7*t^8.34 - 2*t^8.44 + 2*t^8.47 - t^8.54 + 2*t^8.57 - 5*t^8.64 + t^8.67 - t^8.74 + 6*t^8.77 + 4*t^8.87 - 2*t^8.93 + 4*t^8.97 - t^4.22/y - t^6.26/y - (2*t^6.56)/y - t^6.66/y - t^6.86/y + (2*t^7.38)/y + (2*t^7.48)/y + t^7.58/y + (2*t^7.68)/y + (5*t^7.78)/y + (3*t^7.88)/y + (2*t^7.98)/y + (2*t^8.08)/y + t^8.18/y - t^8.31/y + t^8.41/y + t^8.5/y - (2*t^8.6)/y + t^8.7/y + (5*t^8.8)/y - (2*t^8.9)/y - t^4.22*y - t^6.26*y - 2*t^6.56*y - t^6.66*y - t^6.86*y + 2*t^7.38*y + 2*t^7.48*y + t^7.58*y + 2*t^7.68*y + 5*t^7.78*y + 3*t^7.88*y + 2*t^7.98*y + 2*t^8.08*y + t^8.18*y - t^8.31*y + t^8.41*y + t^8.5*y - 2*t^8.6*y + t^8.7*y + 5*t^8.8*y - 2*t^8.9*y | g1^36*t^2.04 + 2*g1^6*t^2.34 + (2*t^2.44)/g1^4 + t^2.64/g1^24 + g1^24*t^3.36 + g1^14*t^3.46 + t^3.76/g1^16 + g1^72*t^4.09 + 2*g1^42*t^4.38 + 2*g1^32*t^4.48 + g1^22*t^4.58 + 5*g1^12*t^4.68 + 3*g1^2*t^4.78 + (4*t^4.88)/g1^8 + (2*t^4.98)/g1^18 + t^5.08/g1^28 + t^5.28/g1^48 + g1^60*t^5.41 + g1^50*t^5.5 + g1^30*t^5.7 + 6*g1^20*t^5.8 + g1^10*t^5.9 - 3*t^6. + (2*t^6.1)/g1^10 + g1^108*t^6.13 + t^6.2/g1^20 - (2*t^6.3)/g1^30 + t^6.4/g1^40 + 2*g1^78*t^6.43 + 2*g1^68*t^6.53 + g1^58*t^6.63 + 6*g1^48*t^6.72 + 4*g1^38*t^6.82 + 4*g1^28*t^6.92 + 8*g1^18*t^7.02 + 5*g1^8*t^7.12 + (4*t^7.22)/g1^2 + (8*t^7.32)/g1^12 + t^7.42/g1^22 + g1^96*t^7.45 + t^7.52/g1^32 + g1^86*t^7.55 + (2*t^7.62)/g1^42 + t^7.72/g1^52 + g1^66*t^7.75 + 6*g1^56*t^7.85 + t^7.91/g1^72 + 2*g1^46*t^7.94 - g1^36*t^8.04 + 7*g1^26*t^8.14 + g1^144*t^8.17 + 5*g1^16*t^8.24 - 7*g1^6*t^8.34 - (2*t^8.44)/g1^4 + 2*g1^114*t^8.47 - t^8.54/g1^14 + 2*g1^104*t^8.57 - (5*t^8.64)/g1^24 + g1^94*t^8.67 - t^8.74/g1^34 + 6*g1^84*t^8.77 + 4*g1^74*t^8.87 - (2*t^8.93)/g1^54 + 4*g1^64*t^8.97 - t^4.22/(g1^2*y) - (g1^34*t^6.26)/y - (2*g1^4*t^6.56)/y - t^6.66/(g1^6*y) - t^6.86/(g1^26*y) + (2*g1^42*t^7.38)/y + (2*g1^32*t^7.48)/y + (g1^22*t^7.58)/y + (2*g1^12*t^7.68)/y + (5*g1^2*t^7.78)/y + (3*t^7.88)/(g1^8*y) + (2*t^7.98)/(g1^18*y) + (2*t^8.08)/(g1^28*y) + t^8.18/(g1^38*y) - (g1^70*t^8.31)/y + (g1^60*t^8.41)/y + (g1^50*t^8.5)/y - (2*g1^40*t^8.6)/y + (g1^30*t^8.7)/y + (5*g1^20*t^8.8)/y - (2*g1^10*t^8.9)/y - (t^4.22*y)/g1^2 - g1^34*t^6.26*y - 2*g1^4*t^6.56*y - (t^6.66*y)/g1^6 - (t^6.86*y)/g1^26 + 2*g1^42*t^7.38*y + 2*g1^32*t^7.48*y + g1^22*t^7.58*y + 2*g1^12*t^7.68*y + 5*g1^2*t^7.78*y + (3*t^7.88*y)/g1^8 + (2*t^7.98*y)/g1^18 + (2*t^8.08*y)/g1^28 + (t^8.18*y)/g1^38 - g1^70*t^8.31*y + g1^60*t^8.41*y + g1^50*t^8.5*y - 2*g1^40*t^8.6*y + g1^30*t^8.7*y + 5*g1^20*t^8.8*y - 2*g1^10*t^8.9*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 |
|---|---|---|---|---|---|---|---|---|
| 4448 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_2$ + $ M_1X_1$ + $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_2M_7$ + $ M_3M_6$ + $ M_4X_2$ | 0.5208 | 0.6488 | 0.8028 | [X:[1.7143, 1.4286], M:[0.2857, 1.2381, 0.8571, 0.5714, 0.8571, 1.1429, 0.7619], q:[0.8095, 0.9048], qb:[0.2381, 0.5238], phi:[0.381]] | 2*t^2.29 + 2*t^2.57 + t^3.14 + t^3.43 + 2*t^4.29 + 4*t^4.57 + 3*t^4.86 + 2*t^5.14 + 2*t^5.43 + 3*t^5.71 - 2*t^6. - t^4.14/y - t^4.14*y | detail | {a: 25/48, c: 109/168, X1: 12/7, X2: 10/7, M1: 2/7, M2: 26/21, M3: 6/7, M4: 4/7, M5: 6/7, M6: 8/7, M7: 16/21, q1: 17/21, q2: 19/21, qb1: 5/21, qb2: 11/21, phi1: 8/21} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 1356 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_2$ + $ M_1X_1$ + $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_6\phi_1\tilde{q}_1^2$ | 0.6571 | 0.8278 | 0.7938 | [X:[1.5587], M:[0.4413, 1.1862, 0.7794, 0.8826, 0.7794, 0.6761], q:[0.7966, 0.7622], qb:[0.4585, 0.3553], phi:[0.4069]] | t^2.03 + 2*t^2.34 + t^2.44 + t^2.65 + t^3.35 + t^3.46 + t^3.56 + t^3.77 + t^4.06 + 2*t^4.37 + t^4.47 + t^4.57 + 5*t^4.68 + t^4.78 + 2*t^4.88 + 2*t^4.99 + t^5.3 + t^5.38 + t^5.48 + t^5.59 + t^5.69 + 5*t^5.79 + 2*t^5.9 - 2*t^6. - t^4.22/y - t^4.22*y | detail |