Landscape

Select a theory SU(2): 4 fund + 4 anti-fund (not completed) SU(2): 1 Adj + 1 fund + 1 anti-fund SU(2): 1 Adj + 2 fund + 2 anti-fund (not completed) SU(2): 1 Adj + 3 fund + 3 anti-fund (not completed) SU(2): 2 Adj SU(2): 2 Adj + 1 fund + 1 anti-fund SU(3): 1 Adj + 1 fund + 1 anti-fund SU(3): 1 Adj + 2 fund + 2 anti-fund (not completed) SU(5): 2 rank-2 symm + (conj.) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + (conj.) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + 1 fund + (conj.) (not completed) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + 2 conj. of rank-2 anti-symm + 8 anti-fund (not completed) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + 2 conj. of rank-2 anti-symm + 1 fund + 9 anti-fund (not completed) SU(5): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 symm SU(5): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 symm + 1 fund + 1 anti-fund SU(5): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 anti-symm + 8 anti-fund (not completed) SU(5): 1 Adj + 1 rank-2 anti-symm + 1 conj. of rank-2 anti-symm SU(5): 1 Adj + 1 rank-2 anti-symm + 1 conj. of rank-2 anti-symm + 1 fund + 1 anti-fund (not completed) SU(5): 1 rank-2 symm + 2 rank-2 anti-symm + (conj.) (not completed) SU(5): 1 rank-2 symm + 2 rank-2 anti-symm + 1 fund + (conj.) (not completed) SU(5): 3 rank-2 anti-symm + (conj.) (not completed) SU(5): 3 rank-2 anti-symm + 1 fund + (conj.) (not completed) SU(5): 2 Adj + 1 anti-symm + 1 conj. of rank-2 anti-symm (not completed) SU(5): 2 Adj + 1 anti-symm + 1 conj. of rank-2 anti-symm + 1 fund + 1 anti-fund (not completed) SU(6): 2 rank-2 symm + (conj.) SU(6): 2 rank-2 symm + 1 fund + (conj.) SU(6): 1 rank-2 symm + 1 rank-2 anti-symm + (conj.) SU(6): 1 rank-2 symm + 1 rank-2 anti-symm + 2 conj. of rank-2 anti-symm + 1 fund + 9 anti-fund (not completed) SU(6): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 symm SU(6): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 anti-symm + 1 fund + 9 anti-fund (not completed) SU(7): 1 rank-2 symm + 2 conj. of rank-2 symm + 1 anti-symm + 8 fund (not completed) SU(7): 2 rank-2 symm + 1 fund + (conj.) (not completed) SU(8): 1 rank-2 symm + 2 conj. of rank-2 symm + 1 anti-symm + 9 fund + 1 anti-fund (not completed) SU(9): 2 rank-2 symm + 2 conj. of rank-2 anti-symm + 16 anti-fund (not completed) SU(9): 2 rank-2 symm + (conj.) (not completed) SU(9): 2 rank-2 symm + 1 fund (conj.) (not completed) SU(10): 2 rank-2 symm + 2 conj. of rank-2 anti-symm + 1 fund + 17 anti-fund (not completed) SO(5): 5 vector (not completed) SO(5): 1 Adj + 1 vector SO(5): 1 Adj + 2 vector SO(5): 1 rank-2 symm SO(5): 1 rank-2 symm + 1 vector SO(5): 1 rank-2 symm + 2 vector Sp(2): 1 Adj + 2 fund Sp(2): 1 14 + 2 fund Sp(2): 2 Adj Sp(2): 1 Adj + 2 rank-2 anti-symm + 8 fund (not completed) G2: 1 Adj + 1 fund E[USp(6)] (not completed) All theories Data used in arXiv:2408.02953

$a$ =

$c$ =

$\leq a \leq$

$\leq c \leq$

id =

Check if you want only theories with rational charges.

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
4581	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{8}q_{1}\tilde{q}_{2}$	0.6971	0.857	0.8133	[M:[1.0109, 0.9674, 1.0326, 0.9457, 1.0543, 1.0109, 0.9674, 0.924], q:[0.5054, 0.4837], qb:[0.462, 0.5706], phi:[0.4946]]	[M:[[2], [-6], [6], [-10], [10], [2], [-6], [-14]], q:[[1], [-3]], qb:[[-7], [13]], phi:[[-1]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{8}$, ${ }M_{4}$, ${ }M_{2}$, ${ }M_{7}$, ${ }M_{1}$, ${ }M_{6}$, ${ }M_{5}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{8}^{2}$, ${ }M_{4}M_{8}$, ${ }M_{4}^{2}$, ${ }M_{2}M_{8}$, ${ }M_{7}M_{8}$, ${ }M_{2}M_{4}$, ${ }M_{4}M_{7}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{1}M_{8}$, ${ }M_{6}M_{8}$, ${ }M_{1}M_{4}$, ${ }M_{4}M_{6}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{6}$, ${ }M_{1}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{5}M_{8}$	${}$	-3	t^2.772 + t^2.837 + 2*t^2.902 + 2*t^3.033 + t^3.163 + t^4.256 + t^4.321 + 2*t^4.386 + t^4.451 + t^4.516 + t^4.581 + t^4.647 + t^4.712 + t^4.907 + t^5.544 + t^5.609 + 2*t^5.674 + t^5.739 + 4*t^5.804 + t^5.87 + 3*t^5.935 - 3*t^6. + 2*t^6.065 - t^6.13 + t^6.196 - t^6.261 + t^7.027 + 2*t^7.093 + 4*t^7.158 + 3*t^7.223 + 5*t^7.288 + 3*t^7.353 + 4*t^7.419 + t^7.484 + t^7.549 + t^7.614 + t^7.679 + t^7.744 + t^7.81 + t^7.94 + t^8.07 + t^8.316 + t^8.381 + 2*t^8.446 + 2*t^8.511 + 5*t^8.576 + 4*t^8.642 + 6*t^8.707 - t^8.772 + 3*t^8.837 - 5*t^8.902 + 3*t^8.967 - t^4.484/y - t^7.256/y - t^7.386/y + t^7.451/y - t^7.516/y + t^7.581/y + t^7.712/y + t^8.609/y + (2*t^8.674)/y + (2*t^8.739)/y + (3*t^8.804)/y + (2*t^8.87)/y + (5*t^8.935)/y - t^4.484*y - t^7.256*y - t^7.386*y + t^7.451*y - t^7.516*y + t^7.581*y + t^7.712*y + t^8.609*y + 2*t^8.674*y + 2*t^8.739*y + 3*t^8.804*y + 2*t^8.87*y + 5*t^8.935*y	t^2.772/g1^14 + t^2.837/g1^10 + (2*t^2.902)/g1^6 + 2*g1^2*t^3.033 + g1^10*t^3.163 + t^4.256/g1^15 + t^4.321/g1^11 + (2*t^4.386)/g1^7 + t^4.451/g1^3 + g1*t^4.516 + g1^5*t^4.581 + g1^9*t^4.647 + g1^13*t^4.712 + g1^25*t^4.907 + t^5.544/g1^28 + t^5.609/g1^24 + (2*t^5.674)/g1^20 + t^5.739/g1^16 + (4*t^5.804)/g1^12 + t^5.87/g1^8 + (3*t^5.935)/g1^4 - 3*t^6. + 2*g1^4*t^6.065 - g1^8*t^6.13 + g1^12*t^6.196 - g1^16*t^6.261 + t^7.027/g1^29 + (2*t^7.093)/g1^25 + (4*t^7.158)/g1^21 + (3*t^7.223)/g1^17 + (5*t^7.288)/g1^13 + (3*t^7.353)/g1^9 + (4*t^7.419)/g1^5 + t^7.484/g1 + g1^3*t^7.549 + g1^7*t^7.614 + g1^11*t^7.679 + g1^15*t^7.744 + g1^19*t^7.81 + g1^27*t^7.94 + g1^35*t^8.07 + t^8.316/g1^42 + t^8.381/g1^38 + (2*t^8.446)/g1^34 + (2*t^8.511)/g1^30 + (5*t^8.576)/g1^26 + (4*t^8.642)/g1^22 + (6*t^8.707)/g1^18 - t^8.772/g1^14 + (3*t^8.837)/g1^10 - (5*t^8.902)/g1^6 + (3*t^8.967)/g1^2 - t^4.484/(g1*y) - t^7.256/(g1^15*y) - t^7.386/(g1^7*y) + t^7.451/(g1^3*y) - (g1*t^7.516)/y + (g1^5*t^7.581)/y + (g1^13*t^7.712)/y + t^8.609/(g1^24*y) + (2*t^8.674)/(g1^20*y) + (2*t^8.739)/(g1^16*y) + (3*t^8.804)/(g1^12*y) + (2*t^8.87)/(g1^8*y) + (5*t^8.935)/(g1^4*y) - (t^4.484*y)/g1 - (t^7.256*y)/g1^15 - (t^7.386*y)/g1^7 + (t^7.451*y)/g1^3 - g1*t^7.516*y + g1^5*t^7.581*y + g1^13*t^7.712*y + (t^8.609*y)/g1^24 + (2*t^8.674*y)/g1^20 + (2*t^8.739*y)/g1^16 + (3*t^8.804*y)/g1^12 + (2*t^8.87*y)/g1^8 + (5*t^8.935*y)/g1^4

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
6105	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{8}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{9}$	0.6944	0.8519	0.8151	[M:[1.0079, 0.9762, 1.0238, 0.9603, 1.0397, 1.0079, 0.9762, 0.9445, 1.0238], q:[0.504, 0.4881], qb:[0.4722, 0.5515], phi:[0.496]]	t^2.833 + t^2.881 + t^2.929 + 2*t^3.024 + t^3.071 + t^3.119 + t^4.322 + t^4.369 + 2*t^4.417 + t^4.464 + t^4.512 + t^4.559 + t^4.607 + t^4.655 + t^4.797 + t^5.667 + t^5.714 + t^5.762 + 2*t^5.857 + 2*t^5.905 + 2*t^5.952 - 2*t^6. - t^4.488/y - t^4.488*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

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
2526	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{3}M_{7}$	0.6922	0.8481	0.8162	[M:[1.0041, 0.9878, 1.0122, 0.9797, 1.0203, 1.0041, 0.9878], q:[0.502, 0.4939], qb:[0.4858, 0.5264], phi:[0.498]]	t^2.939 + 2*t^2.963 + 2*t^3.012 + t^3.061 + t^3.085 + t^4.409 + t^4.433 + 2*t^4.457 + t^4.482 + t^4.506 + t^4.53 + t^4.555 + t^4.579 + t^4.652 + t^5.903 + 2*t^5.927 + t^5.951 + 2*t^5.976 - 3*t^6. - t^4.494/y - t^4.494*y	detail