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 |
---|---|---|---|---|---|---|---|---|---|
46846 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_3M_4$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ | 0.6643 | 0.8125 | 0.8176 | [X:[], M:[1.0269, 1.086, 1.086, 0.914, 0.8011], q:[0.4866, 0.4866], qb:[0.4274, 0.7715], phi:[0.457]] | [X:[], M:[[-22], [4], [4], [-4], [14]], q:[[11], [11]], qb:[[-15], [1]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_5$, $ M_4$, $ \phi_1^2$, $ M_1$, $ M_2$, $ q_1\tilde{q}_2$, $ q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_2^2$, $ M_5^2$, $ M_4M_5$, $ M_5\phi_1^2$, $ M_4^2$, $ M_1M_5$, $ M_4\phi_1^2$, $ \phi_1^4$, $ M_2M_5$ | $M_2M_4$ | -3 | t^2.4 + 2*t^2.74 + t^3.08 + t^3.26 + 2*t^3.77 + t^3.94 + 2*t^4.11 + 3*t^4.29 + t^4.81 + 2*t^5.15 + 4*t^5.48 + t^5.66 - 3*t^6. + t^6.16 + t^6.34 + 4*t^6.52 + 2*t^6.68 + 3*t^6.69 + 3*t^6.85 + t^7.02 + 5*t^7.03 + t^7.21 - t^7.37 + 3*t^7.55 + t^7.87 + 4*t^7.89 + 2*t^8.05 + 5*t^8.06 + 6*t^8.23 - t^8.4 + 5*t^8.58 - 6*t^8.74 - t^4.37/y - t^6.77/y + t^7.29/y - t^7.45/y + t^7.97/y + (2*t^8.15)/y + (2*t^8.48)/y + t^8.66/y + (2*t^8.82)/y - t^4.37*y - t^6.77*y + t^7.29*y - t^7.45*y + t^7.97*y + 2*t^8.15*y + 2*t^8.48*y + t^8.66*y + 2*t^8.82*y | g1^14*t^2.4 + (2*t^2.74)/g1^4 + t^3.08/g1^22 + g1^4*t^3.26 + 2*g1^12*t^3.77 + t^3.94/g1^32 + (2*t^4.11)/g1^6 + 3*g1^20*t^4.29 + g1^28*t^4.81 + 2*g1^10*t^5.15 + (4*t^5.48)/g1^8 + g1^18*t^5.66 - 3*t^6. + t^6.16/g1^44 + t^6.34/g1^18 + 4*g1^8*t^6.52 + (2*t^6.68)/g1^36 + 3*g1^34*t^6.69 + (3*t^6.85)/g1^10 + t^7.02/g1^54 + 5*g1^16*t^7.03 + g1^42*t^7.21 - t^7.37/g1^2 + 3*g1^24*t^7.55 + t^7.87/g1^64 + 4*g1^6*t^7.89 + (2*t^8.05)/g1^38 + 5*g1^32*t^8.06 + (6*t^8.23)/g1^12 - g1^14*t^8.4 + 5*g1^40*t^8.58 - (6*t^8.74)/g1^4 - t^4.37/(g1^2*y) - (g1^12*t^6.77)/y + (g1^20*t^7.29)/y - t^7.45/(g1^24*y) + t^7.97/(g1^16*y) + (2*g1^10*t^8.15)/y + (2*t^8.48)/(g1^8*y) + (g1^18*t^8.66)/y + (2*t^8.82)/(g1^26*y) - (t^4.37*y)/g1^2 - g1^12*t^6.77*y + g1^20*t^7.29*y - (t^7.45*y)/g1^24 + (t^7.97*y)/g1^16 + 2*g1^10*t^8.15*y + (2*t^8.48*y)/g1^8 + g1^18*t^8.66*y + (2*t^8.82*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 |
---|---|---|---|---|---|---|---|---|
55061 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_3M_4$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_2M_6$ | 0.6723 | 0.8258 | 0.8141 | [X:[], M:[1.0184, 1.0876, 1.0876, 0.9124, 0.8064, 0.9124], q:[0.4908, 0.4908], qb:[0.4217, 0.7719], phi:[0.4562]] | t^2.42 + 3*t^2.74 + t^3.06 + 2*t^3.79 + t^3.9 + 2*t^4.11 + 3*t^4.31 + t^4.84 + 3*t^5.16 + 7*t^5.47 + t^5.79 - 5*t^6. - t^4.37/y - t^4.37*y | detail | |
55363 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_3M_4$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_5^2$ | 0.5652 | 0.7081 | 0.7983 | [X:[], M:[0.7143, 1.1429, 1.1429, 0.8571, 1.0], q:[0.6429, 0.6429], qb:[0.2143, 0.7857], phi:[0.4286]] | t^2.14 + 3*t^2.57 + t^3. + t^3.43 + 2*t^3.86 + 3*t^4.29 + t^4.71 + 10*t^5.14 + 3*t^5.57 - 2*t^6. - t^4.29/y - t^4.29*y | detail | {a: 1551/2744, c: 1943/2744, M1: 5/7, M2: 8/7, M3: 8/7, M4: 6/7, M5: 1, q1: 9/14, q2: 9/14, qb1: 3/14, qb2: 11/14, phi1: 3/7} |
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 |
---|---|---|---|---|---|---|---|---|---|
46412 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_3M_4$ + $ M_5\tilde{q}_1\tilde{q}_2$ | 0.6786 | 0.8339 | 0.8138 | [X:[], M:[0.9772, 0.9523, 1.1268, 0.8732, 0.7692], q:[0.5987, 0.4242], qb:[0.4491, 0.7817], phi:[0.4366]] | t^2.31 + 2*t^2.62 + t^2.86 + t^2.93 + t^3.62 + t^3.85 + t^3.93 + t^4. + t^4.14 + t^4.38 + t^4.45 + t^4.62 + t^4.9 + 2*t^4.93 + t^5.16 + 4*t^5.24 + t^5.48 + t^5.55 + t^5.71 + t^5.79 + t^5.86 - 3*t^6. - t^4.31/y - t^4.31*y | detail |