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 |
---|---|---|---|---|---|---|---|---|---|
694 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}q_{2}$ | 0.6643 | 0.8125 | 0.8176 | [M:[1.086, 1.086, 1.0269, 0.914, 0.8011], q:[0.7715, 0.4274], qb:[0.4866, 0.4866], phi:[0.457]] | [M:[[4], [4], [-22], [-4], [14]], q:[[1], [-15]], qb:[[11], [11]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{5}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{5}$ | ${}M_{1}\phi_{1}^{2}$ | -3 | t^2.403 + 2*t^2.742 + t^3.081 + t^3.258 + 2*t^3.774 + t^3.935 + 2*t^4.113 + 3*t^4.29 + t^4.806 + 2*t^5.145 + 4*t^5.484 + t^5.661 - 3*t^6. + t^6.161 + t^6.339 + 4*t^6.516 + 2*t^6.677 + 3*t^6.694 + 3*t^6.855 + t^7.016 + 5*t^7.032 + t^7.21 - t^7.371 + 3*t^7.548 + t^7.871 + 4*t^7.887 + 2*t^8.048 + 5*t^8.065 + 6*t^8.226 - t^8.403 + 5*t^8.581 - 6*t^8.742 - t^4.371/y - t^6.774/y + t^7.29/y - t^7.452/y + t^7.968/y + (2*t^8.145)/y + (2*t^8.484)/y + t^8.661/y + (2*t^8.823)/y - t^4.371*y - t^6.774*y + t^7.29*y - t^7.452*y + t^7.968*y + 2*t^8.145*y + 2*t^8.484*y + t^8.661*y + 2*t^8.823*y | g1^14*t^2.403 + (2*t^2.742)/g1^4 + t^3.081/g1^22 + g1^4*t^3.258 + 2*g1^12*t^3.774 + t^3.935/g1^32 + (2*t^4.113)/g1^6 + 3*g1^20*t^4.29 + g1^28*t^4.806 + 2*g1^10*t^5.145 + (4*t^5.484)/g1^8 + g1^18*t^5.661 - 3*t^6. + t^6.161/g1^44 + t^6.339/g1^18 + 4*g1^8*t^6.516 + (2*t^6.677)/g1^36 + 3*g1^34*t^6.694 + (3*t^6.855)/g1^10 + t^7.016/g1^54 + 5*g1^16*t^7.032 + g1^42*t^7.21 - t^7.371/g1^2 + 3*g1^24*t^7.548 + t^7.871/g1^64 + 4*g1^6*t^7.887 + (2*t^8.048)/g1^38 + 5*g1^32*t^8.065 + (6*t^8.226)/g1^12 - g1^14*t^8.403 + 5*g1^40*t^8.581 - (6*t^8.742)/g1^4 - t^4.371/(g1^2*y) - (g1^12*t^6.774)/y + (g1^20*t^7.29)/y - t^7.452/(g1^24*y) + t^7.968/(g1^16*y) + (2*g1^10*t^8.145)/y + (2*t^8.484)/(g1^8*y) + (g1^18*t^8.661)/y + (2*t^8.823)/(g1^26*y) - (t^4.371*y)/g1^2 - g1^12*t^6.774*y + g1^20*t^7.29*y - (t^7.452*y)/g1^24 + (t^7.968*y)/g1^16 + 2*g1^10*t^8.145*y + (2*t^8.484*y)/g1^8 + g1^18*t^8.661*y + (2*t^8.823*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 |
---|---|---|---|---|---|---|---|---|
1119 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}q_{2}$ + ${ }M_{5}^{2}$ | 0.5652 | 0.7081 | 0.7983 | [M:[1.1429, 1.1429, 0.7143, 0.8571, 1.0], q:[0.7857, 0.2143], qb:[0.6429, 0.6429], phi:[0.4286]] | t^2.143 + 3*t^2.571 + t^3. + t^3.429 + 2*t^3.857 + 3*t^4.286 + t^4.714 + 10*t^5.143 + 3*t^5.571 - 2*t^6. - t^4.286/y - t^4.286*y | detail | {a: 1551/2744, c: 1943/2744, M1: 8/7, M2: 8/7, M3: 5/7, M4: 6/7, M5: 1, q1: 11/14, q2: 3/14, qb1: 9/14, qb2: 9/14, phi1: 3/7} |
1120 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}q_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ | 0.6838 | 0.8483 | 0.8061 | [M:[1.0879, 1.0879, 1.0167, 0.9121, 0.8076, 0.7364], q:[0.772, 0.4205], qb:[0.4916, 0.4916], phi:[0.4561]] | t^2.209 + t^2.423 + 2*t^2.736 + t^3.05 + t^3.264 + t^3.791 + t^3.891 + 2*t^4.105 + 3*t^4.318 + t^4.418 + t^4.632 + t^4.845 + 2*t^4.946 + 2*t^5.159 + t^5.259 + 5*t^5.473 + t^5.686 - 2*t^6. - t^4.368/y - t^4.368*y | detail | {a: 144062/210681, c: 357433/421362, M1: 1498/1377, M2: 1498/1377, M3: 1400/1377, M4: 1256/1377, M5: 1112/1377, M6: 338/459, q1: 1063/1377, q2: 193/459, qb1: 677/1377, qb2: 677/1377, phi1: 628/1377} |
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 |
---|---|---|---|---|---|---|---|---|---|
419 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{1}M_{4}$ | 0.6483 | 0.7846 | 0.8263 | [M:[1.09, 1.09, 1.005, 0.91], q:[0.7725, 0.4125], qb:[0.4975, 0.4975], phi:[0.455]] | 2*t^2.73 + t^3.015 + t^3.27 + t^3.555 + 2*t^3.81 + t^3.84 + 2*t^4.095 + 3*t^4.35 + 3*t^5.46 - 3*t^6. - t^4.365/y - t^4.365*y | detail |