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
882	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}^{4}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$	0.6721	0.8687	0.7736	[M:[0.8103, 1.1897, 0.8103, 0.7064, 1.1468, 0.6897], q:[0.75, 0.4397], qb:[0.3968, 0.4135], phi:[0.5]]	[M:[[1, 1], [-1, -1], [1, 1], [-2, 0], [1, 0], [-1, -1]], q:[[0, 0], [-1, -1]], qb:[[1, 0], [0, 1]], phi:[[0, 0]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{6}$, ${ }M_{4}$, ${ }M_{1}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{3}M_{6}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{4}M_{5}$, ${ }M_{4}q_{1}\tilde{q}_{1}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{5}$, ${ }M_{3}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$	${}$	-2	t^2.069 + t^2.119 + 2*t^2.431 + t^2.51 + t^3. + 2*t^3.44 + t^3.49 + t^3.981 + t^4.01 + t^4.06 + 2*t^4.138 + t^4.189 + t^4.239 + 2*t^4.5 + 2*t^4.55 + t^4.579 + t^4.629 + 3*t^4.862 + 2*t^4.94 + t^5.019 + t^5.069 + t^5.119 + 2*t^5.431 + 3*t^5.51 + 3*t^5.56 + t^5.61 + 3*t^5.871 + t^5.921 + t^5.95 - 2*t^6. + t^6.1 + t^6.129 + t^6.179 + 2*t^6.208 + 2*t^6.258 + t^6.308 + t^6.358 + 2*t^6.412 + 2*t^6.44 + 2*t^6.49 + t^6.519 + 3*t^6.569 + 2*t^6.619 + 2*t^6.648 + 2*t^6.669 + t^6.698 + t^6.748 + 2*t^6.881 + 3*t^6.931 + 4*t^6.981 + t^7.01 + t^7.06 + t^7.088 + 2*t^7.138 + t^7.189 + t^7.239 + 4*t^7.292 + t^7.371 + 2*t^7.45 + t^7.471 + t^7.5 + t^7.529 + t^7.55 + 3*t^7.579 + 3*t^7.629 + 3*t^7.679 + t^7.729 + 2*t^7.862 + 3*t^7.94 + t^7.962 + 3*t^7.99 + 2*t^8.019 + 2*t^8.04 - 2*t^8.069 - t^8.119 + t^8.148 + t^8.198 + t^8.219 + t^8.248 + 3*t^8.277 + t^8.298 + 4*t^8.302 + 2*t^8.327 + t^8.352 + 2*t^8.377 + t^8.381 + t^8.427 - 5*t^8.431 + t^8.46 + t^8.477 - 2*t^8.51 + 2*t^8.531 + t^8.56 + 2*t^8.61 + 3*t^8.638 + 3*t^8.689 + 2*t^8.717 + 2*t^8.739 + 2*t^8.767 + 2*t^8.789 + t^8.817 + 3*t^8.842 + t^8.867 + 2*t^8.871 + 2*t^8.921 + 3*t^8.95 - t^4.5/y - t^6.569/y - t^6.619/y - t^6.931/y + t^7.06/y + t^7.189/y + (2*t^7.5)/y + (2*t^7.55)/y + t^7.579/y + t^7.629/y + t^7.862/y + t^7.94/y + (2*t^8.069)/y + t^8.119/y + t^8.381/y + (3*t^8.431)/y + (3*t^8.51)/y + (3*t^8.56)/y + t^8.61/y - t^8.638/y - t^8.689/y - t^8.739/y + (4*t^8.871)/y + (2*t^8.921)/y + (2*t^8.95)/y - t^4.5*y - t^6.569*y - t^6.619*y - t^6.931*y + t^7.06*y + t^7.189*y + 2*t^7.5*y + 2*t^7.55*y + t^7.579*y + t^7.629*y + t^7.862*y + t^7.94*y + 2*t^8.069*y + t^8.119*y + t^8.381*y + 3*t^8.431*y + 3*t^8.51*y + 3*t^8.56*y + t^8.61*y - t^8.638*y - t^8.689*y - t^8.739*y + 4*t^8.871*y + 2*t^8.921*y + 2*t^8.95*y	t^2.069/(g1*g2) + t^2.119/g1^2 + 2*g1*g2*t^2.431 + t^2.51/g2 + t^3. + 2*g1*t^3.44 + g2*t^3.49 + g2^2*t^3.981 + t^4.01/g2 + t^4.06/g1 + (2*t^4.138)/(g1^2*g2^2) + t^4.189/(g1^3*g2) + t^4.239/g1^4 + 2*t^4.5 + (2*g2*t^4.55)/g1 + t^4.579/(g1*g2^2) + t^4.629/(g1^2*g2) + 3*g1^2*g2^2*t^4.862 + 2*g1*t^4.94 + t^5.019/g2^2 + t^5.069/(g1*g2) + t^5.119/g1^2 + 2*g1*g2*t^5.431 + (3*t^5.51)/g2 + (3*t^5.56)/g1 + (g2*t^5.61)/g1^2 + 3*g1^2*g2*t^5.871 + g1*g2^2*t^5.921 + (g1*t^5.95)/g2 - 2*t^6. + (g2^2*t^6.1)/g1^2 + t^6.129/(g1^2*g2) + t^6.179/g1^3 + (2*t^6.208)/(g1^3*g2^3) + (2*t^6.258)/(g1^4*g2^2) + t^6.308/(g1^5*g2) + t^6.358/g1^6 + 2*g1*g2^3*t^6.412 + 2*g1*t^6.44 + 2*g2*t^6.49 + t^6.519/g2^2 + (3*t^6.569)/(g1*g2) + (2*t^6.619)/g1^2 + (2*t^6.648)/(g1^2*g2^3) + (2*g2*t^6.669)/g1^3 + t^6.698/(g1^3*g2^2) + t^6.748/(g1^4*g2) + 2*g1^2*t^6.881 + 3*g1*g2*t^6.931 + 4*g2^2*t^6.981 + t^7.01/g2 + t^7.06/g1 + t^7.088/(g1*g2^3) + (2*t^7.138)/(g1^2*g2^2) + t^7.189/(g1^3*g2) + t^7.239/g1^4 + 4*g1^3*g2^3*t^7.292 + g1^2*g2*t^7.371 + (2*g1*t^7.45)/g2 + g2^3*t^7.471 + t^7.5 + t^7.529/g2^3 + (g2*t^7.55)/g1 + (3*t^7.579)/(g1*g2^2) + (3*t^7.629)/(g1^2*g2) + (3*t^7.679)/g1^3 + (g2*t^7.729)/g1^4 + 2*g1^2*g2^2*t^7.862 + 3*g1*t^7.94 + g2^4*t^7.962 + 3*g2*t^7.99 + (2*t^8.019)/g2^2 + (2*g2^2*t^8.04)/g1 - (2*t^8.069)/(g1*g2) - t^8.119/g1^2 + t^8.148/(g1^2*g2^3) + t^8.198/(g1^3*g2^2) + (g2^2*t^8.219)/g1^4 + t^8.248/(g1^4*g2) + (3*t^8.277)/(g1^4*g2^4) + t^8.298/g1^5 + 4*g1^3*g2^2*t^8.302 + (2*t^8.327)/(g1^5*g2^3) + g1^2*g2^3*t^8.352 + (2*t^8.377)/(g1^6*g2^2) + g1^2*t^8.381 + t^8.427/(g1^7*g2) - 5*g1*g2*t^8.431 + (g1*t^8.46)/g2^2 + t^8.477/g1^8 - (2*t^8.51)/g2 + (2*g2^3*t^8.531)/g1 + t^8.56/g1 + (2*g2*t^8.61)/g1^2 + (3*t^8.638)/(g1^2*g2^2) + (3*t^8.689)/(g1^3*g2) + (2*t^8.717)/(g1^3*g2^4) + (2*t^8.739)/g1^4 + (2*t^8.767)/(g1^4*g2^3) + (2*g2*t^8.789)/g1^5 + t^8.817/(g1^5*g2^2) + 3*g1^2*g2^4*t^8.842 + t^8.867/(g1^6*g2) + 2*g1^2*g2*t^8.871 + 2*g1*g2^2*t^8.921 + (3*g1*t^8.95)/g2 - t^4.5/y - t^6.569/(g1*g2*y) - t^6.619/(g1^2*y) - (g1*g2*t^6.931)/y + t^7.06/(g1*y) + t^7.189/(g1^3*g2*y) + (2*t^7.5)/y + (2*g2*t^7.55)/(g1*y) + t^7.579/(g1*g2^2*y) + t^7.629/(g1^2*g2*y) + (g1^2*g2^2*t^7.862)/y + (g1*t^7.94)/y + (2*t^8.069)/(g1*g2*y) + t^8.119/(g1^2*y) + (g1^2*t^8.381)/y + (3*g1*g2*t^8.431)/y + (3*t^8.51)/(g2*y) + (3*t^8.56)/(g1*y) + (g2*t^8.61)/(g1^2*y) - t^8.638/(g1^2*g2^2*y) - t^8.689/(g1^3*g2*y) - t^8.739/(g1^4*y) + (4*g1^2*g2*t^8.871)/y + (2*g1*g2^2*t^8.921)/y + (2*g1*t^8.95)/(g2*y) - t^4.5*y - (t^6.569*y)/(g1*g2) - (t^6.619*y)/g1^2 - g1*g2*t^6.931*y + (t^7.06*y)/g1 + (t^7.189*y)/(g1^3*g2) + 2*t^7.5*y + (2*g2*t^7.55*y)/g1 + (t^7.579*y)/(g1*g2^2) + (t^7.629*y)/(g1^2*g2) + g1^2*g2^2*t^7.862*y + g1*t^7.94*y + (2*t^8.069*y)/(g1*g2) + (t^8.119*y)/g1^2 + g1^2*t^8.381*y + 3*g1*g2*t^8.431*y + (3*t^8.51*y)/g2 + (3*t^8.56*y)/g1 + (g2*t^8.61*y)/g1^2 - (t^8.638*y)/(g1^2*g2^2) - (t^8.689*y)/(g1^3*g2) - (t^8.739*y)/g1^4 + 4*g1^2*g2*t^8.871*y + 2*g1*g2^2*t^8.921*y + (2*g1*t^8.95*y)/g2

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
1374	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}^{4}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{2}^{2}$	0.6929	0.9101	0.7613	[M:[0.811, 1.189, 0.811, 0.7075, 1.1463, 0.689, 0.6706], q:[0.75, 0.439], qb:[0.3963, 0.4147], phi:[0.5]]	t^2.012 + t^2.067 + t^2.122 + 2*t^2.433 + t^2.506 + t^3. + 2*t^3.439 + t^3.494 + t^4.006 + t^4.024 + t^4.061 + t^4.079 + 3*t^4.134 + t^4.189 + t^4.245 + 2*t^4.445 + 2*t^4.5 + t^4.518 + 2*t^4.555 + t^4.573 + t^4.628 + 3*t^4.866 + 2*t^4.939 + 2*t^5.012 + t^5.067 + t^5.122 + 2*t^5.433 + 2*t^5.451 + 4*t^5.506 + 3*t^5.561 + t^5.617 + 3*t^5.872 + t^5.927 + t^5.945 - 2*t^6. - t^4.5/y - t^4.5*y	detail
2055	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}^{4}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$	0.6868	0.8944	0.7679	[M:[0.821, 1.179, 0.821, 0.7222, 1.1389, 0.679, 0.8179], q:[0.75, 0.429], qb:[0.3889, 0.4321], phi:[0.5]]	t^2.037 + t^2.167 + 2*t^2.454 + 2*t^2.463 + t^3. + 2*t^3.417 + t^3.954 + 2*t^4.074 + t^4.083 + t^4.093 + t^4.204 + t^4.333 + 2*t^4.491 + 2*t^4.5 + 2*t^4.62 + 2*t^4.63 + 3*t^4.907 + 4*t^4.917 + 3*t^4.926 + t^5.037 + t^5.167 + 4*t^5.454 + 2*t^5.463 + 2*t^5.583 + 3*t^5.87 + 3*t^5.88 - 3*t^6. - t^4.5/y - t^4.5*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
567	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}^{4}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$	0.6514	0.8288	0.7859	[M:[0.8067, 1.1933, 0.8067, 0.7089, 1.1456], q:[0.75, 0.4433], qb:[0.3956, 0.4111], phi:[0.5]]	t^2.127 + 2*t^2.42 + t^2.517 + t^3. + 2*t^3.437 + t^3.483 + t^3.92 + t^3.967 + t^4.017 + t^4.063 + t^4.16 + t^4.253 + 2*t^4.547 + t^4.643 + 3*t^4.84 + 2*t^4.937 + t^5.033 + t^5.127 + 2*t^5.42 + t^5.517 + 2*t^5.563 + t^5.61 + 3*t^5.857 + t^5.903 + t^5.953 - 2*t^6. - t^4.5/y - t^4.5*y	detail