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
3128	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$	0.6679	0.8876	0.7526	[M:[0.972, 1.084, 0.916, 0.743, 0.743, 0.799, 0.799], q:[0.743, 0.285], qb:[0.458, 0.458], phi:[0.514]]	[M:[[4], [-12], [12], [1], [1], [-7], [-7]], q:[[1], [-5]], qb:[[6], [6]], phi:[[-2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{4}$, ${ }M_{5}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{6}$, ${ }M_{7}$, ${ }M_{3}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{4}M_{7}$, ${ }M_{5}M_{7}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{7}q_{2}\tilde{q}_{1}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }M_{7}q_{2}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }M_{6}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{6}$, ${ }M_{3}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{6}$, ${ }M_{1}M_{7}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }M_{7}\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$	${}M_{3}\phi_{1}q_{2}^{2}$	-4	4*t^2.229 + 2*t^2.397 + t^2.748 + t^2.916 + t^3.084 + t^3.252 + 3*t^4.29 + 10*t^4.458 + 8*t^4.626 + 3*t^4.794 + 4*t^4.977 + 6*t^5.145 + 6*t^5.313 + 4*t^5.481 + t^5.496 + 2*t^5.649 + t^5.664 + t^5.832 - 4*t^6. + t^6.336 + t^6.504 + 8*t^6.519 + 22*t^6.687 + 16*t^6.855 + 10*t^7.023 + 3*t^7.038 + 4*t^7.191 + 10*t^7.206 + 16*t^7.374 + 16*t^7.542 + 13*t^7.71 + 4*t^7.725 + 7*t^7.878 + 4*t^7.893 + 3*t^8.046 - 16*t^8.229 + t^8.244 - 10*t^8.397 + t^8.412 + 2*t^8.565 + 6*t^8.58 + 4*t^8.733 + 10*t^8.748 + 2*t^8.901 + 30*t^8.916 - t^4.542/y - (2*t^6.771)/y - (2*t^6.939)/y + (6*t^7.458)/y + (8*t^7.626)/y + t^7.794/y + (4*t^7.977)/y + (8*t^8.145)/y + (8*t^8.313)/y + (6*t^8.481)/y + (2*t^8.649)/y + t^8.664/y + t^8.832/y - t^4.542*y - 2*t^6.771*y - 2*t^6.939*y + 6*t^7.458*y + 8*t^7.626*y + t^7.794*y + 4*t^7.977*y + 8*t^8.145*y + 8*t^8.313*y + 6*t^8.481*y + 2*t^8.649*y + t^8.664*y + t^8.832*y	4*g1*t^2.229 + (2*t^2.397)/g1^7 + g1^12*t^2.748 + g1^4*t^2.916 + t^3.084/g1^4 + t^3.252/g1^12 + 3*g1^10*t^4.29 + 10*g1^2*t^4.458 + (8*t^4.626)/g1^6 + (3*t^4.794)/g1^14 + 4*g1^13*t^4.977 + 6*g1^5*t^5.145 + (6*t^5.313)/g1^3 + (4*t^5.481)/g1^11 + g1^24*t^5.496 + (2*t^5.649)/g1^19 + g1^16*t^5.664 + g1^8*t^5.832 - 4*t^6. + t^6.336/g1^16 + t^6.504/g1^24 + 8*g1^11*t^6.519 + 22*g1^3*t^6.687 + (16*t^6.855)/g1^5 + (10*t^7.023)/g1^13 + 3*g1^22*t^7.038 + (4*t^7.191)/g1^21 + 10*g1^14*t^7.206 + 16*g1^6*t^7.374 + (16*t^7.542)/g1^2 + (13*t^7.71)/g1^10 + 4*g1^25*t^7.725 + (7*t^7.878)/g1^18 + 4*g1^17*t^7.893 + (3*t^8.046)/g1^26 - 16*g1*t^8.229 + g1^36*t^8.244 - (10*t^8.397)/g1^7 + g1^28*t^8.412 + (2*t^8.565)/g1^15 + 6*g1^20*t^8.58 + (4*t^8.733)/g1^23 + 10*g1^12*t^8.748 + (2*t^8.901)/g1^31 + 30*g1^4*t^8.916 - t^4.542/(g1^2*y) - (2*t^6.771)/(g1*y) - (2*t^6.939)/(g1^9*y) + (6*g1^2*t^7.458)/y + (8*t^7.626)/(g1^6*y) + t^7.794/(g1^14*y) + (4*g1^13*t^7.977)/y + (8*g1^5*t^8.145)/y + (8*t^8.313)/(g1^3*y) + (6*t^8.481)/(g1^11*y) + (2*t^8.649)/(g1^19*y) + (g1^16*t^8.664)/y + (g1^8*t^8.832)/y - (t^4.542*y)/g1^2 - (2*t^6.771*y)/g1 - (2*t^6.939*y)/g1^9 + 6*g1^2*t^7.458*y + (8*t^7.626*y)/g1^6 + (t^7.794*y)/g1^14 + 4*g1^13*t^7.977*y + 8*g1^5*t^8.145*y + (8*t^8.313*y)/g1^3 + (6*t^8.481*y)/g1^11 + (2*t^8.649*y)/g1^19 + g1^16*t^8.664*y + g1^8*t^8.832*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
4985	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$	0.6778	0.9061	0.748	[M:[0.956, 1.1319, 0.8681, 0.739, 0.739, 0.827, 0.827, 0.8681], q:[0.739, 0.305], qb:[0.434, 0.434], phi:[0.522]]	4*t^2.217 + 2*t^2.481 + 2*t^2.604 + t^2.868 + t^3.132 + 3*t^4.17 + 10*t^4.434 + 8*t^4.698 + 8*t^4.821 + 3*t^4.962 + 8*t^5.085 + 3*t^5.208 + 6*t^5.349 + 2*t^5.472 + 2*t^5.736 - 5*t^6. - t^4.566/y - t^4.566*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
2057	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$	0.6518	0.8599	0.758	[M:[0.9645, 1.1066, 0.8934, 0.7411, 0.7411, 0.8122], q:[0.7411, 0.2944], qb:[0.4467, 0.4467], phi:[0.5178]]	4*t^2.223 + t^2.437 + t^2.68 + t^2.893 + t^3.107 + t^3.32 + t^3.563 + 3*t^4.233 + 10*t^4.447 + 4*t^4.66 + t^4.873 + 4*t^4.904 + 5*t^5.117 + 5*t^5.33 + t^5.36 + 3*t^5.543 + t^5.574 + t^5.756 + 5*t^5.787 - 3*t^6. - t^4.553/y - t^4.553*y	detail