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 |
---|---|---|---|---|---|---|---|---|---|
3805 | 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_5q_1\tilde{q}_2$ + $ M_4M_5$ + $ M_1X_1$ + $ M_3M_6$ + $ M_7\phi_1^2$ | 0.5746 | 0.7002 | 0.8206 | [X:[1.3271], M:[0.6729, 1.109, 0.8183, 1.0363, 0.9637, 1.1817, 1.109], q:[0.7773, 0.5498], qb:[0.6319, 0.2591], phi:[0.4455]] | [X:[[36]], M:[[-36], [12], [-20], [4], [-4], [20], [12]], q:[[3], [33]], qb:[[-13], [1]], phi:[[-6]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$q_2\tilde{q}_2$, $ M_5$, $ M_4$, $ M_2$, $ M_7$, $ M_6$, $ \phi_1q_2\tilde{q}_2$, $ X_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_1$, $ \phi_1q_2^2$, $ q_2^2\tilde{q}_2^2$, $ \phi_1q_1q_2$, $ M_5q_2\tilde{q}_2$, $ M_4q_2\tilde{q}_2$, $ M_7q_2\tilde{q}_2$, $ M_6q_2\tilde{q}_2$ | . | -2 | t^2.43 + t^2.89 + t^3.11 + 2*t^3.33 + t^3.55 + t^3.76 + t^3.98 + t^4.01 + t^4.23 + t^4.64 + t^4.85 + t^5.32 + t^5.54 + t^5.75 + t^5.97 - 2*t^6. + t^6.19 + t^6.22 - t^6.25 + t^6.41 + 2*t^6.44 - t^6.46 + 4*t^6.65 - t^6.68 + 2*t^6.87 + t^7.06 + 2*t^7.09 + t^7.28 + 2*t^7.31 + 2*t^7.53 + t^7.55 - t^7.58 + 2*t^7.74 + 3*t^7.96 + 2*t^8.18 + 2*t^8.4 - 2*t^8.43 + 2*t^8.62 - t^8.67 + t^8.7 + t^8.83 + 2*t^8.86 - 4*t^8.89 - t^4.34/y + t^7.01/y - t^7.66/y + t^8.32/y + t^8.54/y + (2*t^8.75)/y + t^8.97/y - t^4.34*y + t^7.01*y - t^7.66*y + t^8.32*y + t^8.54*y + 2*t^8.75*y + t^8.97*y | g1^34*t^2.43 + t^2.89/g1^4 + g1^4*t^3.11 + 2*g1^12*t^3.33 + g1^20*t^3.55 + g1^28*t^3.76 + g1^36*t^3.98 + t^4.01/g1^18 + t^4.23/g1^10 + g1^60*t^4.64 + g1^68*t^4.85 + g1^30*t^5.32 + g1^38*t^5.54 + g1^46*t^5.75 + g1^54*t^5.97 - 2*t^6. + g1^62*t^6.19 + g1^8*t^6.22 - t^6.25/g1^46 + g1^70*t^6.41 + 2*g1^16*t^6.44 - t^6.46/g1^38 + 4*g1^24*t^6.65 - t^6.68/g1^30 + 2*g1^32*t^6.87 + g1^94*t^7.06 + 2*g1^40*t^7.09 + g1^102*t^7.28 + 2*g1^48*t^7.31 + 2*g1^56*t^7.53 + g1^2*t^7.55 - t^7.58/g1^52 + 2*g1^64*t^7.74 + 3*g1^72*t^7.96 + 2*g1^80*t^8.18 + 2*g1^88*t^8.4 - 2*g1^34*t^8.43 + 2*g1^96*t^8.62 - t^8.67/g1^12 + t^8.7/g1^66 + g1^104*t^8.83 + 2*g1^50*t^8.86 - (4*t^8.89)/g1^4 - t^4.34/(g1^6*y) + t^7.01/(g1^18*y) - (g1^6*t^7.66)/y + (g1^30*t^8.32)/y + (g1^38*t^8.54)/y + (2*g1^46*t^8.75)/y + (g1^54*t^8.97)/y - (t^4.34*y)/g1^6 + (t^7.01*y)/g1^18 - g1^6*t^7.66*y + g1^30*t^8.32*y + g1^38*t^8.54*y + 2*g1^46*t^8.75*y + g1^54*t^8.97*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 |
---|---|---|---|---|---|---|---|---|
5410 | $M_1q_1q_2$ + $ 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_5q_1\tilde{q}_2$ + $ M_4M_5$ + $ M_1X_1$ + $ M_3M_6$ + $ M_7\phi_1^2$ + $ M_4M_8$ | 0.578 | 0.7053 | 0.8196 | [X:[1.334], M:[0.666, 1.1113, 0.8144, 1.0371, 0.9629, 1.1856, 1.1113, 0.9629], q:[0.7778, 0.5562], qb:[0.6294, 0.2593], phi:[0.4443]] | t^2.45 + 2*t^2.89 + 2*t^3.33 + t^3.56 + t^3.78 + 2*t^4. + t^4.22 + t^4.67 + t^4.89 + 2*t^5.34 + 3*t^5.78 - 2*t^6. - t^4.33/y - t^4.33*y | detail | |
5402 | $M_1q_1q_2$ + $ 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_5q_1\tilde{q}_2$ + $ M_4M_5$ + $ M_1X_1$ + $ M_3M_6$ + $ M_7\phi_1^2$ + $ M_6q_2\tilde{q}_2$ | 0.5746 | 0.6996 | 0.8213 | [X:[1.3333], M:[0.6667, 1.1111, 0.8148, 1.037, 0.963, 1.1852, 1.1111], q:[0.7778, 0.5556], qb:[0.6296, 0.2593], phi:[0.4444]] | t^2.44 + t^2.89 + t^3.11 + 2*t^3.33 + t^3.56 + t^3.78 + 2*t^4. + t^4.22 + t^4.67 + t^4.89 + t^5.33 + t^5.56 + t^5.78 - t^6. - t^4.33/y - t^4.33*y | detail | {a: 1117/1944, c: 170/243, X1: 4/3, M1: 2/3, M2: 10/9, M3: 22/27, M4: 28/27, M5: 26/27, M6: 32/27, M7: 10/9, q1: 7/9, q2: 5/9, qb1: 17/27, qb2: 7/27, phi1: 4/9} |
5414 | $M_1q_1q_2$ + $ 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_5q_1\tilde{q}_2$ + $ M_4M_5$ + $ M_1X_1$ + $ M_3M_6$ + $ M_7\phi_1^2$ + $ M_8X_1$ | 0.5954 | 0.7414 | 0.8031 | [X:[1.3288], M:[0.6712, 1.1096, 0.8173, 1.0365, 0.9635, 1.1827, 1.1096, 0.6712], q:[0.7774, 0.5514], qb:[0.6313, 0.2591], phi:[0.4452]] | t^2.01 + t^2.43 + t^2.89 + t^3.11 + 2*t^3.33 + t^3.55 + t^3.77 + t^4.01 + t^4.03 + t^4.23 + t^4.45 + t^4.64 + t^4.86 + t^4.9 + t^5.12 + t^5.32 + 2*t^5.34 + t^5.54 + t^5.56 + t^5.76 + t^5.78 + t^5.98 - 2*t^6. - t^4.34/y - t^4.34*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 |
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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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
3358 | 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_5q_1\tilde{q}_2$ + $ M_4M_5$ + $ M_1X_1$ + $ M_3M_6$ | 0.5847 | 0.7158 | 0.8169 | [X:[1.3459], M:[0.6541, 1.1153, 0.8078, 1.0384, 0.9616, 1.1922], q:[0.7788, 0.5671], qb:[0.6251, 0.2596], phi:[0.4423]] | t^2.48 + t^2.65 + t^2.88 + t^3.12 + t^3.35 + t^3.58 + t^3.81 + t^3.98 + t^4.04 + t^4.21 + t^4.73 + t^4.96 + t^5.13 + t^5.31 + t^5.36 + t^5.54 + t^5.6 + t^5.77 - t^6. - t^4.33/y - t^4.33*y | detail |