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 |
---|---|---|---|---|---|---|---|---|---|
653 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{3}$ | 0.6785 | 0.8217 | 0.8257 | [M:[0.9936, 1.1429, 1.0064, 1.0, 0.7078], q:[0.7857, 0.5], qb:[0.5064, 0.4936], phi:[0.4286]] | [M:[[1], [0], [-1], [0], [1]], q:[[0], [0]], qb:[[-1], [1]], phi:[[0]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{5}$, ${ }M_{1}$, ${ }M_{4}$, ${ }M_{3}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}$, ${ }M_{5}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{4}M_{5}$, ${ }M_{3}M_{5}$, ${ }M_{2}M_{5}$, ${ }M_{1}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$ | ${}$ | -1 | t^2.124 + t^2.981 + t^3. + t^3.019 + t^3.429 + t^3.838 + t^3.857 + 2*t^4.247 + t^4.266 + 2*t^4.286 + t^4.305 + t^4.324 + t^5.104 + t^5.124 + t^5.143 + t^5.552 + t^5.961 - t^6. - t^6.019 + 2*t^6.371 + t^6.39 + 2*t^6.409 + t^6.429 + t^6.448 + t^6.819 + t^6.838 + t^6.857 + 2*t^7.228 + 2*t^7.247 + 3*t^7.266 + 2*t^7.286 + t^7.305 + t^7.324 + t^7.344 + 2*t^7.676 + t^7.695 + t^7.714 + 2*t^8.085 + t^8.104 + 3*t^8.494 + 2*t^8.513 + 4*t^8.533 + 2*t^8.552 + 3*t^8.571 + t^8.591 + 2*t^8.61 + t^8.629 + t^8.649 + t^8.942 - 2*t^8.981 - t^4.286/y - t^6.409/y + t^8.104/y + t^8.124/y + t^8.143/y + t^8.162/y - t^8.533/y + t^8.552/y + t^8.961/y + (2*t^8.981)/y - t^4.286*y - t^6.409*y + t^8.104*y + t^8.124*y + t^8.143*y + t^8.162*y - t^8.533*y + t^8.552*y + t^8.961*y + 2*t^8.981*y | g1*t^2.124 + g1*t^2.981 + t^3. + t^3.019/g1 + t^3.429 + g1*t^3.838 + t^3.857 + 2*g1^2*t^4.247 + g1*t^4.266 + 2*t^4.286 + t^4.305/g1 + t^4.324/g1^2 + g1^2*t^5.104 + g1*t^5.124 + t^5.143 + g1*t^5.552 + g1^2*t^5.961 - t^6. - t^6.019/g1 + 2*g1^3*t^6.371 + g1^2*t^6.39 + 2*g1*t^6.409 + t^6.429 + t^6.448/g1 + g1^2*t^6.819 + g1*t^6.838 + t^6.857 + 2*g1^3*t^7.228 + 2*g1^2*t^7.247 + 3*g1*t^7.266 + 2*t^7.286 + t^7.305/g1 + t^7.324/g1^2 + t^7.344/g1^3 + 2*g1^2*t^7.676 + g1*t^7.695 + t^7.714 + 2*g1^3*t^8.085 + g1^2*t^8.104 + 3*g1^4*t^8.494 + 2*g1^3*t^8.513 + 4*g1^2*t^8.533 + 2*g1*t^8.552 + 3*t^8.571 + t^8.591/g1 + (2*t^8.61)/g1^2 + t^8.629/g1^3 + t^8.649/g1^4 + g1^3*t^8.942 - 2*g1*t^8.981 - t^4.286/y - (g1*t^6.409)/y + (g1^2*t^8.104)/y + (g1*t^8.124)/y + t^8.143/y + t^8.162/(g1*y) - (g1^2*t^8.533)/y + (g1*t^8.552)/y + (g1^2*t^8.961)/y + (2*g1*t^8.981)/y - t^4.286*y - g1*t^6.409*y + g1^2*t^8.104*y + g1*t^8.124*y + t^8.143*y + (t^8.162*y)/g1 - g1^2*t^8.533*y + g1*t^8.552*y + g1^2*t^8.961*y + 2*g1*t^8.981*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 |
---|---|---|---|---|---|---|---|---|
1043 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{6}$ | 0.6802 | 0.8268 | 0.8226 | [M:[0.9696, 1.1429, 1.0304, 1.0, 0.6839, 0.9696], q:[0.7857, 0.5], qb:[0.5304, 0.4696], phi:[0.4286]] | t^2.052 + 2*t^2.909 + t^3. + t^3.429 + t^3.766 + t^3.857 + 2*t^4.104 + t^4.195 + 2*t^4.286 + t^4.377 + t^4.468 + 2*t^4.961 + t^5.052 + t^5.48 + 3*t^5.818 + t^5.909 - 2*t^6. - t^4.286/y - t^4.286*y | detail | |
1041 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.6986 | 0.8593 | 0.813 | [M:[1.0, 1.1429, 1.0, 1.0, 0.7143, 0.7143], q:[0.7857, 0.5], qb:[0.5, 0.5], phi:[0.4286]] | 2*t^2.143 + 3*t^3. + t^3.429 + t^3.857 + 9*t^4.286 + 6*t^5.143 + 2*t^5.571 - t^6. - t^4.286/y - t^4.286*y | detail | {a: 1917/2744, c: 1179/1372, M1: 1, M2: 8/7, M3: 1, M4: 1, M5: 5/7, M6: 5/7, q1: 11/14, q2: 1/2, qb1: 1/2, qb2: 1/2, 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 |
---|---|---|---|---|---|---|---|---|---|
403 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ | 0.6903 | 0.8344 | 0.8273 | [M:[0.8831, 1.2074, 0.891, 1.0, 0.6942], q:[0.8018, 0.6129], qb:[0.504, 0.496], phi:[0.3963]] | t^2.083 + t^2.649 + t^2.673 + t^3. + t^3.622 + t^3.894 + 2*t^4.165 + t^4.189 + t^4.213 + t^4.244 + t^4.516 + t^4.54 + t^4.732 + t^4.756 + t^4.867 + t^5.083 + t^5.299 + t^5.322 + t^5.346 + t^5.705 - 2*t^6. - t^4.189/y - t^4.189*y | detail |