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 |
|---|---|---|---|---|---|---|---|---|---|
| 3132 | 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$ + $ M_6\phi_1^2$ + $ \phi_1q_2^2$ + $ M_7\phi_1q_1^2$ | 0.6895 | 0.8758 | 0.7872 | [X:[], M:[0.8301, 1.0566, 1.1699, 0.7168, 0.8301, 1.0566, 0.7168], q:[0.4058, 0.7642], qb:[0.4243, 0.519], phi:[0.4717]] | [X:[], M:[[-12], [4], [12], [-20], [-12], [4], [-20]], q:[[11], [1]], qb:[[-23], [19]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_7$, $ M_1$, $ M_5$, $ q_1\tilde{q}_2$, $ M_2$, $ M_6$, $ q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ M_4M_7$, $ M_7^2$, $ \phi_1\tilde{q}_2^2$, $ M_1M_4$, $ M_4M_5$, $ M_1M_7$, $ M_5M_7$, $ \phi_1q_1q_2$, $ M_4q_1\tilde{q}_2$, $ M_7q_1\tilde{q}_2$, $ M_1^2$, $ M_1M_5$, $ M_5^2$, $ \phi_1q_2\tilde{q}_1$, $ M_5q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ M_2M_4$, $ M_4M_6$, $ M_2M_7$, $ M_6M_7$, $ q_1^2\tilde{q}_2^2$, $ M_1M_2$, $ M_2M_5$, $ M_1M_6$, $ M_5M_6$, $ M_4q_2\tilde{q}_1$, $ M_7q_2\tilde{q}_1$, $ M_6q_1\tilde{q}_2$ | . | -3 | 2*t^2.15 + 2*t^2.49 + t^2.77 + 2*t^3.17 + t^3.57 + t^3.91 + t^3.96 + t^4.19 + t^4.25 + 3*t^4.3 + t^4.53 + 4*t^4.64 + 2*t^4.92 + 3*t^4.98 + 2*t^5.26 + 4*t^5.32 + t^5.55 + 3*t^5.66 + t^5.72 + t^5.94 - 3*t^6. + 3*t^6.06 + 2*t^6.11 - t^6.28 + 3*t^6.34 + 3*t^6.4 + 6*t^6.45 + 3*t^6.68 + 3*t^6.74 + 6*t^6.79 + t^6.96 + 2*t^7.08 + 7*t^7.13 + t^7.3 + 2*t^7.42 + 9*t^7.47 + t^7.53 + t^7.7 + t^7.75 + 6*t^7.81 + 2*t^7.87 + t^7.92 + t^8.04 + t^8.09 - 2*t^8.15 + 4*t^8.21 + 3*t^8.26 + t^8.32 - t^8.43 - t^8.49 + 6*t^8.55 + 9*t^8.6 + 2*t^8.72 - 4*t^8.77 + 4*t^8.83 + 6*t^8.89 + 11*t^8.94 - t^4.42/y - (2*t^6.57)/y - t^6.91/y + t^7.25/y + t^7.3/y - t^7.58/y + (4*t^7.64)/y + (3*t^7.92)/y + t^7.98/y + (4*t^8.26)/y + (4*t^8.32)/y + (4*t^8.66)/y - t^8.72/y + (2*t^8.94)/y - t^4.42*y - 2*t^6.57*y - t^6.91*y + t^7.25*y + t^7.3*y - t^7.58*y + 4*t^7.64*y + 3*t^7.92*y + t^7.98*y + 4*t^8.26*y + 4*t^8.32*y + 4*t^8.66*y - t^8.72*y + 2*t^8.94*y | (2*t^2.15)/g1^20 + (2*t^2.49)/g1^12 + g1^30*t^2.77 + 2*g1^4*t^3.17 + t^3.57/g1^22 + t^3.91/g1^14 + t^3.96/g1^48 + g1^28*t^4.19 + t^4.25/g1^6 + (3*t^4.3)/g1^40 + g1^36*t^4.53 + (4*t^4.64)/g1^32 + 2*g1^10*t^4.92 + (3*t^4.98)/g1^24 + 2*g1^18*t^5.26 + (4*t^5.32)/g1^16 + g1^60*t^5.55 + (3*t^5.66)/g1^8 + t^5.72/g1^42 + g1^34*t^5.94 - 3*t^6. + (3*t^6.06)/g1^34 + (2*t^6.11)/g1^68 - g1^42*t^6.28 + 3*g1^8*t^6.34 + (3*t^6.4)/g1^26 + (6*t^6.45)/g1^60 + 3*g1^16*t^6.68 + (3*t^6.74)/g1^18 + (6*t^6.79)/g1^52 + g1^58*t^6.96 + (2*t^7.08)/g1^10 + (7*t^7.13)/g1^44 + g1^66*t^7.3 + (2*t^7.42)/g1^2 + (9*t^7.47)/g1^36 + t^7.53/g1^70 + g1^40*t^7.7 + g1^6*t^7.75 + (6*t^7.81)/g1^28 + (2*t^7.87)/g1^62 + t^7.92/g1^96 + g1^48*t^8.04 + g1^14*t^8.09 - (2*t^8.15)/g1^20 + (4*t^8.21)/g1^54 + (3*t^8.26)/g1^88 + g1^90*t^8.32 - g1^22*t^8.43 - t^8.49/g1^12 + (6*t^8.55)/g1^46 + (9*t^8.6)/g1^80 + 2*g1^64*t^8.72 - 4*g1^30*t^8.77 + (4*t^8.83)/g1^4 + (6*t^8.89)/g1^38 + (11*t^8.94)/g1^72 - t^4.42/(g1^2*y) - (2*t^6.57)/(g1^22*y) - t^6.91/(g1^14*y) + t^7.25/(g1^6*y) + t^7.3/(g1^40*y) - (g1^2*t^7.58)/y + (4*t^7.64)/(g1^32*y) + (3*g1^10*t^7.92)/y + t^7.98/(g1^24*y) + (4*g1^18*t^8.26)/y + (4*t^8.32)/(g1^16*y) + (4*t^8.66)/(g1^8*y) - t^8.72/(g1^42*y) + (2*g1^34*t^8.94)/y - (t^4.42*y)/g1^2 - (2*t^6.57*y)/g1^22 - (t^6.91*y)/g1^14 + (t^7.25*y)/g1^6 + (t^7.3*y)/g1^40 - g1^2*t^7.58*y + (4*t^7.64*y)/g1^32 + 3*g1^10*t^7.92*y + (t^7.98*y)/g1^24 + 4*g1^18*t^8.26*y + (4*t^8.32*y)/g1^16 + (4*t^8.66*y)/g1^8 - (t^8.72*y)/g1^42 + 2*g1^34*t^8.94*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 |
|---|---|---|---|---|---|---|---|---|
| 5010 | $M_1q_1q_2$ + $ 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$ + $ M_6\phi_1^2$ + $ \phi_1q_2^2$ + $ M_7\phi_1q_1^2$ + $ M_4q_2\tilde{q}_1$ | 0.6837 | 0.8653 | 0.7902 | [X:[], M:[0.8571, 1.0476, 1.1429, 0.7619, 0.8571, 1.0476, 0.7619], q:[0.381, 0.7619], qb:[0.4762, 0.4762], phi:[0.4762]] | 2*t^2.29 + 3*t^2.57 + 2*t^3.14 + t^3.71 + 2*t^4. + 3*t^4.29 + 3*t^4.57 + 6*t^4.86 + 6*t^5.14 + 4*t^5.43 + 4*t^5.71 - 3*t^6. - t^4.43/y - t^4.43*y | detail | {a: 11257/16464, c: 7123/8232, M1: 6/7, M2: 22/21, M3: 8/7, M4: 16/21, M5: 6/7, M6: 22/21, M7: 16/21, q1: 8/21, q2: 16/21, qb1: 10/21, qb2: 10/21, phi1: 10/21} |
| 5012 | $M_1q_1q_2$ + $ 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$ + $ M_6\phi_1^2$ + $ \phi_1q_2^2$ + $ M_7\phi_1q_1^2$ + $ M_8\phi_1q_1\tilde{q}_1$ | 0.71 | 0.9151 | 0.7759 | [X:[], M:[0.8313, 1.0562, 1.1687, 0.7188, 0.8313, 1.0562, 0.7188, 0.6968], q:[0.4047, 0.7641], qb:[0.4266, 0.5172], phi:[0.4719]] | t^2.09 + 2*t^2.16 + 2*t^2.49 + t^2.77 + 2*t^3.17 + t^3.57 + t^3.98 + 2*t^4.18 + 3*t^4.25 + 3*t^4.31 + t^4.52 + 2*t^4.58 + 4*t^4.65 + t^4.86 + 2*t^4.92 + 3*t^4.99 + 4*t^5.26 + 4*t^5.33 + t^5.53 + 4*t^5.66 + t^5.73 + t^5.93 - 3*t^6. - t^4.42/y - t^4.42*y | detail | |
| 5013 | $M_1q_1q_2$ + $ 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$ + $ M_6\phi_1^2$ + $ \phi_1q_2^2$ + $ M_7\phi_1q_1^2$ + $ M_8\phi_1\tilde{q}_1^2$ | 0.7103 | 0.9167 | 0.7748 | [X:[], M:[0.8312, 1.0563, 1.1688, 0.7187, 0.8312, 1.0563, 0.7187, 0.675], q:[0.4047, 0.7641], qb:[0.4266, 0.5172], phi:[0.4719]] | t^2.03 + 2*t^2.16 + 2*t^2.49 + t^2.77 + 2*t^3.17 + t^3.57 + t^3.91 + t^4.05 + 3*t^4.18 + t^4.25 + 3*t^4.31 + 3*t^4.52 + 4*t^4.65 + t^4.79 + 2*t^4.92 + 3*t^4.99 + 2*t^5.19 + 2*t^5.26 + 4*t^5.32 + t^5.53 + t^5.6 + 3*t^5.66 + t^5.73 + 2*t^5.93 - 3*t^6. - t^4.42/y - t^4.42*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2063 | 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$ + $ M_6\phi_1^2$ + $ \phi_1q_2^2$ | 0.6694 | 0.8378 | 0.799 | [X:[], M:[0.8331, 1.0556, 1.1669, 0.7218, 0.8331, 1.0556], q:[0.403, 0.7639], qb:[0.4301, 0.5143], phi:[0.4722]] | t^2.17 + 2*t^2.5 + t^2.75 + 2*t^3.17 + t^3.58 + t^3.83 + t^3.92 + t^4. + t^4.17 + t^4.25 + t^4.33 + t^4.5 + 2*t^4.66 + t^4.92 + 3*t^5. + 2*t^5.25 + 2*t^5.33 + t^5.5 + 3*t^5.67 + t^5.92 - 2*t^6. - t^4.42/y - t^4.42*y | detail |