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
4310	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{4}^{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{2}M_{7}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$	0.7505	0.9475	0.7921	[M:[0.9243, 1.0757, 0.7728, 1.0, 0.9243, 0.8485, 0.9243, 0.6894], q:[0.5, 0.5757], qb:[0.4243, 0.6515], phi:[0.4621]]	[M:[[-2], [2], [-6], [0], [-2], [-4], [-2], [5]], q:[[0], [2]], qb:[[-2], [4]], phi:[[-1]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{8}$, ${ }M_{3}$, ${ }M_{6}$, ${ }M_{1}$, ${ }M_{5}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{8}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}M_{8}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{6}M_{8}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{8}$, ${ }M_{5}M_{8}$, ${ }M_{7}M_{8}$, ${ }M_{8}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}M_{6}$, ${ }M_{4}M_{8}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}M_{5}$, ${ }M_{6}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{1}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{1}M_{7}$, ${ }M_{5}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{4}$, ${ }M_{4}M_{5}$, ${ }M_{4}M_{7}$, ${ }M_{4}\phi_{1}^{2}$	${}$	-3	t^2.068 + t^2.318 + t^2.546 + 4*t^2.773 + t^3. + t^4.136 + t^4.159 + 3*t^4.386 + 3*t^4.614 + t^4.637 + 6*t^4.841 + t^4.864 + 2*t^5.068 + 5*t^5.091 + t^5.295 + 4*t^5.318 + 9*t^5.546 + t^5.773 - 3*t^6. + t^6.204 - 2*t^6.227 + t^6.477 + 2*t^6.682 + 3*t^6.705 + 6*t^6.909 + 7*t^6.932 + t^6.955 + 2*t^7.136 + 13*t^7.159 + t^7.182 + t^7.363 + 11*t^7.386 + 5*t^7.409 + 13*t^7.614 + 5*t^7.637 + t^7.841 + 12*t^7.864 - 4*t^8.068 + 7*t^8.091 + t^8.272 - 4*t^8.295 + 10*t^8.318 - 2*t^8.523 - 5*t^8.546 + 2*t^8.75 - 13*t^8.773 + t^8.796 + 6*t^8.977 - t^4.386/y - t^6.454/y - t^6.705/y - t^6.932/y - (3*t^7.159)/y + t^7.386/y + (4*t^7.614)/y + (5*t^7.841)/y + t^7.864/y + (2*t^8.068)/y + (4*t^8.091)/y + (6*t^8.318)/y - t^8.523/y + (7*t^8.546)/y + (3*t^8.773)/y - t^4.386*y - t^6.454*y - t^6.705*y - t^6.932*y - 3*t^7.159*y + t^7.386*y + 4*t^7.614*y + 5*t^7.841*y + t^7.864*y + 2*t^8.068*y + 4*t^8.091*y + 6*t^8.318*y - t^8.523*y + 7*t^8.546*y + 3*t^8.773*y	g1^5*t^2.068 + t^2.318/g1^6 + t^2.546/g1^4 + (4*t^2.773)/g1^2 + t^3. + g1^10*t^4.136 + t^4.159/g1^3 + (3*t^4.386)/g1 + 3*g1*t^4.614 + t^4.637/g1^12 + 6*g1^3*t^4.841 + t^4.864/g1^10 + 2*g1^5*t^5.068 + (5*t^5.091)/g1^8 + g1^7*t^5.295 + (4*t^5.318)/g1^6 + (9*t^5.546)/g1^4 + t^5.773/g1^2 - 3*t^6. + g1^15*t^6.204 - 2*g1^2*t^6.227 + t^6.477/g1^9 + 2*g1^6*t^6.682 + (3*t^6.705)/g1^7 + 6*g1^8*t^6.909 + (7*t^6.932)/g1^5 + t^6.955/g1^18 + 2*g1^10*t^7.136 + (13*t^7.159)/g1^3 + t^7.182/g1^16 + g1^12*t^7.363 + (11*t^7.386)/g1 + (5*t^7.409)/g1^14 + 13*g1*t^7.614 + (5*t^7.637)/g1^12 + g1^3*t^7.841 + (12*t^7.864)/g1^10 - 4*g1^5*t^8.068 + (7*t^8.091)/g1^8 + g1^20*t^8.272 - 4*g1^7*t^8.295 + (10*t^8.318)/g1^6 - 2*g1^9*t^8.523 - (5*t^8.546)/g1^4 + 2*g1^11*t^8.75 - (13*t^8.773)/g1^2 + t^8.796/g1^15 + 6*g1^13*t^8.977 - t^4.386/(g1*y) - (g1^4*t^6.454)/y - t^6.705/(g1^7*y) - t^6.932/(g1^5*y) - (3*t^7.159)/(g1^3*y) + t^7.386/(g1*y) + (4*g1*t^7.614)/y + (5*g1^3*t^7.841)/y + t^7.864/(g1^10*y) + (2*g1^5*t^8.068)/y + (4*t^8.091)/(g1^8*y) + (6*t^8.318)/(g1^6*y) - (g1^9*t^8.523)/y + (7*t^8.546)/(g1^4*y) + (3*t^8.773)/(g1^2*y) - (t^4.386*y)/g1 - g1^4*t^6.454*y - (t^6.705*y)/g1^7 - (t^6.932*y)/g1^5 - (3*t^7.159*y)/g1^3 + (t^7.386*y)/g1 + 4*g1*t^7.614*y + 5*g1^3*t^7.841*y + (t^7.864*y)/g1^10 + 2*g1^5*t^8.068*y + (4*t^8.091*y)/g1^8 + (6*t^8.318*y)/g1^6 - g1^9*t^8.523*y + (7*t^8.546*y)/g1^4 + (3*t^8.773*y)/g1^2

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
5765	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{4}^{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{2}M_{7}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{9}$	0.7438	0.9357	0.7949	[M:[0.9296, 1.0704, 0.7888, 1.0, 0.9296, 0.8592, 0.9296, 0.676, 1.0704], q:[0.5, 0.5704], qb:[0.4296, 0.6408], phi:[0.4648]]	t^2.028 + t^2.366 + t^2.578 + 3*t^2.789 + t^3. + t^3.211 + t^4.056 + t^4.183 + 3*t^4.394 + 3*t^4.606 + t^4.733 + 5*t^4.817 + t^4.944 + 2*t^5.028 + 4*t^5.155 + 2*t^5.239 + 3*t^5.366 + 6*t^5.578 + t^5.789 - t^4.394/y - t^4.394*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
2316	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{4}^{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{2}M_{7}$	0.7299	0.9081	0.8038	[M:[0.922, 1.078, 0.7659, 1.0, 0.922, 0.8439, 0.922], q:[0.5, 0.578], qb:[0.422, 0.6561], phi:[0.461]]	t^2.298 + t^2.532 + 4*t^2.766 + t^3. + t^3.915 + t^4.149 + 2*t^4.383 + t^4.595 + 2*t^4.617 + t^4.83 + 2*t^4.851 + 5*t^5.064 + t^5.085 + 4*t^5.298 + t^5.319 + 9*t^5.532 + t^5.766 - 3*t^6. - t^4.383/y - t^4.383*y	detail