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 |
---|---|---|---|---|---|---|---|---|---|
1340 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.5717 | 0.7497 | 0.7625 | [M:[1.0504, 0.8487, 0.9496, 1.1513, 0.8487, 0.6766], q:[0.7626, 0.1869], qb:[0.4896, 0.6617], phi:[0.4748]] | [M:[[-4], [12], [4], [-12], [12], [-14]], q:[[-1], [5]], qb:[[-19], [7]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{6}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{5}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{6}^{2}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{6}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}^{4}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}^{3}q_{2}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{6}q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ | ${}M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$ | -2 | 2*t^2.03 + 3*t^2.546 + 2*t^2.849 + t^3.454 + t^3.757 + 3*t^4.059 + t^4.273 + t^4.362 + 5*t^4.576 + 5*t^4.878 + 5*t^5.092 + 7*t^5.395 + t^5.484 + t^5.697 + 2*t^5.786 - 2*t^6. + 4*t^6.089 + 4*t^6.303 + 2*t^6.392 - 2*t^6.516 + 7*t^6.605 + t^6.819 + 8*t^6.908 + 7*t^7.122 + 2*t^7.211 + 9*t^7.424 + t^7.513 + 7*t^7.638 + 2*t^7.727 + 4*t^7.816 + 11*t^7.941 - 6*t^8.03 + 6*t^8.119 + 4*t^8.243 + 3*t^8.332 + 3*t^8.421 - 11*t^8.546 + 10*t^8.635 + t^8.724 - 5*t^8.849 + 10*t^8.938 - t^4.424/y - t^6.454/y - t^6.97/y + t^7.059/y - t^7.273/y + (7*t^7.576)/y + (5*t^7.878)/y + (3*t^8.092)/y + (7*t^8.395)/y + t^8.484/y + t^8.697/y + (2*t^8.786)/y - t^4.424*y - t^6.454*y - t^6.97*y + t^7.059*y - t^7.273*y + 7*t^7.576*y + 5*t^7.878*y + 3*t^8.092*y + 7*t^8.395*y + t^8.484*y + t^8.697*y + 2*t^8.786*y | (2*t^2.03)/g1^14 + 3*g1^12*t^2.546 + 2*g1^4*t^2.849 + t^3.454/g1^12 + t^3.757/g1^20 + (3*t^4.059)/g1^28 + g1^6*t^4.273 + t^4.362/g1^36 + (5*t^4.576)/g1^2 + (5*t^4.878)/g1^10 + 5*g1^24*t^5.092 + 7*g1^16*t^5.395 + t^5.484/g1^26 + g1^8*t^5.697 + (2*t^5.786)/g1^34 - 2*t^6. + (4*t^6.089)/g1^42 + (4*t^6.303)/g1^8 + (2*t^6.392)/g1^50 - 2*g1^26*t^6.516 + (7*t^6.605)/g1^16 + g1^18*t^6.819 + (8*t^6.908)/g1^24 + 7*g1^10*t^7.122 + (2*t^7.211)/g1^32 + 9*g1^2*t^7.424 + t^7.513/g1^40 + 7*g1^36*t^7.638 + (2*t^7.727)/g1^6 + (4*t^7.816)/g1^48 + 11*g1^28*t^7.941 - (6*t^8.03)/g1^14 + (6*t^8.119)/g1^56 + 4*g1^20*t^8.243 + (3*t^8.332)/g1^22 + (3*t^8.421)/g1^64 - 11*g1^12*t^8.546 + (10*t^8.635)/g1^30 + t^8.724/g1^72 - 5*g1^4*t^8.849 + (10*t^8.938)/g1^38 - (g1^2*t^4.424)/y - t^6.454/(g1^12*y) - (g1^14*t^6.97)/y + t^7.059/(g1^28*y) - (g1^6*t^7.273)/y + (7*t^7.576)/(g1^2*y) + (5*t^7.878)/(g1^10*y) + (3*g1^24*t^8.092)/y + (7*g1^16*t^8.395)/y + t^8.484/(g1^26*y) + (g1^8*t^8.697)/y + (2*t^8.786)/(g1^34*y) - g1^2*t^4.424*y - (t^6.454*y)/g1^12 - g1^14*t^6.97*y + (t^7.059*y)/g1^28 - g1^6*t^7.273*y + (7*t^7.576*y)/g1^2 + (5*t^7.878*y)/g1^10 + 3*g1^24*t^8.092*y + 7*g1^16*t^8.395*y + (t^8.484*y)/g1^26 + g1^8*t^8.697*y + (2*t^8.786*y)/g1^34 |
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 |
---|---|---|---|---|---|---|---|---|
2404 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$ | 0.5911 | 0.7853 | 0.7527 | [M:[1.0534, 0.8397, 0.9466, 1.1603, 0.8397, 0.6871, 0.7328], q:[0.7634, 0.1832], qb:[0.5039, 0.6565], phi:[0.4733]] | 2*t^2.061 + t^2.198 + 3*t^2.519 + 2*t^2.84 + t^3.481 + 3*t^4.122 + 3*t^4.259 + t^4.397 + t^4.443 + 5*t^4.58 + 3*t^4.717 + 5*t^4.901 + 7*t^5.038 + 7*t^5.359 + t^5.542 + 2*t^5.679 - 2*t^6. - t^4.42/y - t^4.42*y | detail | |
2402 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ | 0.5697 | 0.7462 | 0.7635 | [M:[1.0588, 0.8235, 0.9412, 1.1765, 0.8235, 0.7059], q:[0.7647, 0.1765], qb:[0.5294, 0.6471], phi:[0.4706]] | 2*t^2.118 + 3*t^2.471 + 2*t^2.824 + t^3.529 + t^3.882 + 4*t^4.235 + 6*t^4.588 + 10*t^4.941 + 7*t^5.294 + 2*t^5.647 - t^4.412/y - t^4.412*y | detail | {a: 2799/4913, c: 3666/4913, M1: 18/17, M2: 14/17, M3: 16/17, M4: 20/17, M5: 14/17, M6: 12/17, q1: 13/17, q2: 3/17, qb1: 9/17, qb2: 11/17, phi1: 8/17} |
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 |
---|---|---|---|---|---|---|---|---|---|
846 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ | 0.5509 | 0.7087 | 0.7773 | [M:[1.0508, 0.8475, 0.9492, 1.1525, 0.8475], q:[0.7627, 0.1865], qb:[0.4915, 0.661], phi:[0.4746]] | t^2.034 + 3*t^2.543 + 2*t^2.848 + t^3.457 + t^3.762 + t^3.966 + t^4.067 + t^4.271 + t^4.372 + 2*t^4.576 + 3*t^4.881 + 5*t^5.085 + 7*t^5.39 + t^5.695 + t^5.796 - t^6. - t^4.424/y - t^4.424*y | detail |