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
57357	SU3adj1nf2	${}\phi_{1}^{5}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$	1.4441	1.7213	0.8389	[M:[0.7823, 0.7823], q:[0.3999, 0.3999], qb:[0.4178, 0.3824], phi:[0.4]]	[M:[[1, 0, 1], [-1, -1, 0]], q:[[-1, -1, -1], [1, 0, 0]], qb:[[0, 1, 0], [0, 0, 1]], phi:[[0, 0, 0]]]	3

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}$, ${ }M_{2}^{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }M_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }q_{1}^{2}\tilde{q}_{1}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }M_{2}\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}\phi_{1}^{3}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}^{2}q_{2}$, ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$	${}\phi_{1}q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ 2}\phi_{1}q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$	-1	4*t^2.347 + t^2.4 + 2*t^2.453 + 2*t^3.547 + t^3.6 + 10*t^4.694 + 6*t^4.747 + t^4.748 + 2*t^4.799 + 9*t^4.8 + 4*t^4.853 + t^4.854 + 3*t^4.906 + 7*t^5.894 + 6*t^5.947 + t^5.948 + 2*t^5.999 - t^6. + 2*t^6.053 + t^6.054 - t^6.106 + 20*t^7.041 + t^7.042 + 20*t^7.094 + 4*t^7.095 + 7*t^7.146 + 26*t^7.147 + 2*t^7.148 + 6*t^7.199 + 16*t^7.2 + 4*t^7.201 + 3*t^7.252 + 14*t^7.253 + 2*t^7.254 + 6*t^7.306 + 2*t^7.307 + 4*t^7.359 + t^7.361 + 16*t^8.241 + 20*t^8.294 + 4*t^8.295 + 7*t^8.346 - 4*t^8.347 + t^8.348 + 2*t^8.399 + 6*t^8.4 + 2*t^8.401 - t^8.452 - 8*t^8.453 + t^8.454 + t^8.506 - 2*t^8.559 - t^4.2/y - t^5.4/y - (4*t^6.547)/y - t^6.6/y - (2*t^6.653)/y + (6*t^7.694)/y + (7*t^7.8)/y + (2*t^7.853)/y + t^7.906/y - (2*t^8.894)/y - t^4.2*y - t^5.4*y - 4*t^6.547*y - t^6.6*y - 2*t^6.653*y + 6*t^7.694*y + 7*t^7.8*y + 2*t^7.853*y + t^7.906*y - 2*t^8.894*y	(2*t^2.347)/(g1*g2) + 2*g1*g3*t^2.347 + t^2.4 + g1*g2*t^2.453 + t^2.453/(g1*g3) + t^3.547/(g1*g2) + g1*g3*t^3.547 + t^3.6 + (3*t^4.694)/(g1^2*g2^2) + (4*g3*t^4.694)/g2 + 3*g1^2*g3^2*t^4.694 + (3*t^4.747)/(g1*g2) + 3*g1*g3*t^4.747 + g2*g3^2*t^4.748 + t^4.799/(g1*g2^2*g3^2) + (g1*t^4.799)/(g2*g3) + 5*t^4.8 + (2*t^4.8)/(g1^2*g2*g3) + 2*g1^2*g2*g3*t^4.8 + 2*g1*g2*t^4.853 + (2*t^4.853)/(g1*g3) + g2^2*g3*t^4.854 + g1^2*g2^2*t^4.906 + t^4.906/(g1^2*g3^2) + (g2*t^4.906)/g3 + (2*t^5.894)/(g1^2*g2^2) + (3*g3*t^5.894)/g2 + 2*g1^2*g3^2*t^5.894 + (3*t^5.947)/(g1*g2) + 3*g1*g3*t^5.947 + g2*g3^2*t^5.948 + t^5.999/(g1*g2^2*g3^2) + (g1*t^5.999)/(g2*g3) - t^6. + g1*g2*t^6.053 + t^6.053/(g1*g3) + g2^2*g3*t^6.054 - (g2*t^6.106)/g3 + (4*t^7.041)/(g1^3*g2^3) + (6*g3*t^7.041)/(g1*g2^2) + (6*g1*g3^2*t^7.041)/g2 + 4*g1^3*g3^3*t^7.041 + g3^3*t^7.042 + (6*t^7.094)/(g1^2*g2^2) + (8*g3*t^7.094)/g2 + 6*g1^2*g3^2*t^7.094 + (2*g3^2*t^7.095)/g1 + 2*g1*g2*g3^3*t^7.095 + (2*g1^2*t^7.146)/g2 + (2*t^7.146)/(g1^2*g2^3*g3^2) + (3*t^7.146)/(g2^2*g3) + (10*t^7.147)/(g1*g2) + (3*t^7.147)/(g1^3*g2^2*g3) + 10*g1*g3*t^7.147 + 3*g1^3*g2*g3^2*t^7.147 + 2*g2*g3^2*t^7.148 + g1^3*t^7.199 + t^7.199/(g1^3*g2^3*g3^3) + (2*t^7.199)/(g1*g2^2*g3^2) + (2*g1*t^7.199)/(g2*g3) + 8*t^7.2 + (4*t^7.2)/(g1^2*g2*g3) + 4*g1^2*g2*g3*t^7.2 + (2*g2*g3*t^7.201)/g1 + 2*g1*g2^2*g3^2*t^7.201 + t^7.252/(g1^2*g2^2*g3^3) + t^7.252/(g2*g3^2) + (g1^2*t^7.252)/g3 + 5*g1*g2*t^7.253 + (2*t^7.253)/(g1^3*g2*g3^2) + (5*t^7.253)/(g1*g3) + 2*g1^3*g2^2*g3*t^7.253 + 2*g2^2*g3*t^7.254 + 2*g1^2*g2^2*t^7.306 + (2*t^7.306)/(g1^2*g3^2) + (2*g2*t^7.306)/g3 + (g2^2*t^7.307)/g1 + g1*g2^3*g3*t^7.307 + g1^3*g2^3*t^7.359 + t^7.359/(g1^3*g3^3) + (g2*t^7.359)/(g1*g3^2) + (g1*g2^2*t^7.359)/g3 + g2^3*t^7.361 + (3*t^8.241)/(g1^3*g2^3) + (5*g3*t^8.241)/(g1*g2^2) + (5*g1*g3^2*t^8.241)/g2 + 3*g1^3*g3^3*t^8.241 + (6*t^8.294)/(g1^2*g2^2) + (8*g3*t^8.294)/g2 + 6*g1^2*g3^2*t^8.294 + (2*g3^2*t^8.295)/g1 + 2*g1*g2*g3^3*t^8.295 + (2*g1^2*t^8.346)/g2 + (2*t^8.346)/(g1^2*g2^3*g3^2) + (3*t^8.346)/(g2^2*g3) - (2*t^8.347)/(g1*g2) - 2*g1*g3*t^8.347 + g2*g3^2*t^8.348 + t^8.399/(g1*g2^2*g3^2) + (g1*t^8.399)/(g2*g3) + 2*t^8.4 + (2*t^8.4)/(g1^2*g2*g3) + 2*g1^2*g2*g3*t^8.4 + (g2*g3*t^8.401)/g1 + g1*g2^2*g3^2*t^8.401 - t^8.452/(g2*g3^2) - 4*g1*g2*t^8.453 - (4*t^8.453)/(g1*g3) + g2^2*g3*t^8.454 + g1^2*g2^2*t^8.506 + t^8.506/(g1^2*g3^2) - (g2*t^8.506)/g3 - (g2*t^8.559)/(g1*g3^2) - (g1*g2^2*t^8.559)/g3 - t^4.2/y - t^5.4/y - (2*t^6.547)/(g1*g2*y) - (2*g1*g3*t^6.547)/y - t^6.6/y - (g1*g2*t^6.653)/y - t^6.653/(g1*g3*y) + t^7.694/(g1^2*g2^2*y) + (4*g3*t^7.694)/(g2*y) + (g1^2*g3^2*t^7.694)/y + (3*t^7.8)/y + (2*t^7.8)/(g1^2*g2*g3*y) + (2*g1^2*g2*g3*t^7.8)/y + (g1*g2*t^7.853)/y + t^7.853/(g1*g3*y) + (g2*t^7.906)/(g3*y) - t^8.894/(g1^2*g2^2*y) - (g1^2*g3^2*t^8.894)/y - t^4.2*y - t^5.4*y - (2*t^6.547*y)/(g1*g2) - 2*g1*g3*t^6.547*y - t^6.6*y - g1*g2*t^6.653*y - (t^6.653*y)/(g1*g3) + (t^7.694*y)/(g1^2*g2^2) + (4*g3*t^7.694*y)/g2 + g1^2*g3^2*t^7.694*y + 3*t^7.8*y + (2*t^7.8*y)/(g1^2*g2*g3) + 2*g1^2*g2*g3*t^7.8*y + g1*g2*t^7.853*y + (t^7.853*y)/(g1*g3) + (g2*t^7.906*y)/g3 - (t^8.894*y)/(g1^2*g2^2) - g1^2*g3^2*t^8.894*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
58397	${}\phi_{1}^{5}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$	1.3478	1.6153	0.8344	[X:[], M:[0.8604, 0.8604], q:[0.2868, 0.2868], qb:[0.4528, 0.5736], phi:[0.4]]	2*t^2.22 + t^2.4 + 4*t^2.58 + t^3.6 + 4*t^3.78 + 3*t^4.44 + 4*t^4.62 + 9*t^4.8 + 8*t^4.98 + 10*t^5.16 + 2*t^5.82 + 3*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y	detail
58398	${}\phi_{1}^{5}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$	1.4439	1.7208	0.8391	[X:[], M:[0.7851, 0.7851], q:[0.395, 0.395], qb:[0.4199, 0.3901], phi:[0.4]]	4*t^2.36 + t^2.4 + 2*t^2.44 + 2*t^3.56 + t^3.6 + 10*t^4.71 + 8*t^4.76 + 10*t^4.8 + 4*t^4.84 + 4*t^4.89 + 7*t^5.91 + 8*t^5.96 - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*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
47890	SU3adj1nf2	${}\phi_{1}^{5}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$	1.427	1.6906	0.8441	[M:[0.7823], q:[0.4088, 0.3912], qb:[0.4088, 0.3912], phi:[0.4]]	2*t^2.347 + 3*t^2.4 + t^2.453 + t^3.547 + 3*t^3.6 + 3*t^4.694 + 7*t^4.747 + 2*t^4.773 + 10*t^4.8 + 2*t^4.827 + 4*t^4.853 + t^4.906 + 2*t^5.894 + 7*t^5.947 + 2*t^5.973 + 6*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y	detail