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
57477	SU3adj1nf2	${}\phi_{1}^{4}$ + ${ }q_{1}\tilde{q}_{1}X_{1}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ + ${ }q_{1}\tilde{q}_{2}X_{3}$ + ${ }q_{2}\tilde{q}_{2}X_{4}$ + ${ }\phi_{1}^{2}q_{1}^{2}q_{2}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{2}$	0.9393	1.1336	0.8286	[X:[1.426, 1.6092, 1.3908, 1.574], M:[0.8908], q:[0.3944, 0.2112], qb:[0.1796, 0.2148], phi:[0.5]]	[X:[[0, -3], [-3, 0], [3, 0], [0, 3]], M:[[3, 0]], q:[[-1, 1], [2, -2]], qb:[[1, 2], [-2, -1]], phi:[[0, 0]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }X_{3}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }X_{4}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }X_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$, ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}^{3}\tilde{q}_{2}$	${}M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$	-1	2*t^2.67 + t^2.78 + t^3. + 2*t^3.22 + t^3.33 + t^3.95 + 2*t^4.17 + 2*t^4.28 + 2*t^4.5 + 3*t^4.72 + 3*t^4.83 + 3*t^5.34 + 2*t^5.45 + t^5.56 + t^5.67 + 3*t^5.89 - t^6. + t^6.12 + t^6.22 + t^6.4 + t^6.43 + 3*t^6.44 - t^6.55 + 2*t^6.62 + t^6.66 + t^6.73 + 4*t^6.84 + 6*t^6.95 + 2*t^7.06 + 4*t^7.17 + t^7.28 + 7*t^7.39 + 9*t^7.5 + 2*t^7.61 - t^7.62 + 3*t^7.72 + t^7.83 - t^7.93 + 4*t^7.94 + 4*t^8.02 + 5*t^8.05 + 3*t^8.12 + t^8.16 + 2*t^8.23 + t^8.33 + 4*t^8.34 + 2*t^8.45 + 3*t^8.56 + 4*t^8.57 - 4*t^8.67 - 3*t^8.78 + 2*t^8.79 + 4*t^8.89 - t^4.5/y - t^6./y - t^7.17/y + t^7.5/y + t^7.83/y + t^8.34/y + (2*t^8.45)/y - t^8.67/y - t^8.78/y + (4*t^8.89)/y - t^4.5*y - t^6.*y - t^7.17*y + t^7.5*y + t^7.83*y + t^8.34*y + 2*t^8.45*y - t^8.67*y - t^8.78*y + 4*t^8.89*y	2*g1^3*t^2.67 + t^2.78/g2^3 + t^3. + 2*g2^3*t^3.22 + t^3.33/g1^3 + (g1^3*t^3.95)/g2^3 + 2*g1^3*t^4.17 + (2*t^4.28)/g2^3 + 2*t^4.5 + 3*g2^3*t^4.72 + (3*t^4.83)/g1^3 + 3*g1^6*t^5.34 + (2*g1^3*t^5.45)/g2^3 + t^5.56/g2^6 + g1^3*t^5.67 + 3*g1^3*g2^3*t^5.89 - t^6. + g1^3*g2^6*t^6.12 + g2^3*t^6.22 + (g1^6*t^6.4)/g2^6 + t^6.43/(g1^6*g2^3) + 3*g2^6*t^6.44 - (g2^3*t^6.55)/g1^3 + (2*g1^6*t^6.62)/g2^3 + t^6.66/g1^6 + (g1^3*t^6.73)/g2^6 + 4*g1^6*t^6.84 + (6*g1^3*t^6.95)/g2^3 + (2*t^7.06)/g2^6 + 4*g1^3*t^7.17 + t^7.28/g2^3 + 7*g1^3*g2^3*t^7.39 + 9*t^7.5 + (2*t^7.61)/(g1^3*g2^3) - g1^3*g2^6*t^7.62 + 3*g2^3*t^7.72 + t^7.83/g1^3 - t^7.93/(g1^6*g2^3) + 4*g2^6*t^7.94 + 4*g1^9*t^8.02 + (5*g2^3*t^8.05)/g1^3 + (3*g1^6*t^8.12)/g2^3 + t^8.16/g1^6 + (2*g1^3*t^8.23)/g2^6 + t^8.33/g2^9 + 4*g1^6*t^8.34 + (2*g1^3*t^8.45)/g2^3 + (3*t^8.56)/g2^6 + 4*g1^6*g2^3*t^8.57 - 4*g1^3*t^8.67 - (3*t^8.78)/g2^3 + 2*g1^6*g2^6*t^8.79 + 4*g1^3*g2^3*t^8.89 - t^4.5/y - t^6./y - (g1^3*t^7.17)/y + t^7.5/y + t^7.83/(g1^3*y) + (g1^6*t^8.34)/y + (2*g1^3*t^8.45)/(g2^3*y) - (g1^3*t^8.67)/y - t^8.78/(g2^3*y) + (4*g1^3*g2^3*t^8.89)/y - t^4.5*y - t^6.*y - g1^3*t^7.17*y + t^7.5*y + (t^7.83*y)/g1^3 + g1^6*t^8.34*y + (2*g1^3*t^8.45*y)/g2^3 - g1^3*t^8.67*y - (t^8.78*y)/g2^3 + 4*g1^3*g2^3*t^8.89*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
58788	${}\phi_{1}^{4}$ + ${ }q_{1}\tilde{q}_{1}X_{1}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ + ${ }q_{1}\tilde{q}_{2}X_{3}$ + ${ }q_{2}\tilde{q}_{2}X_{4}$ + ${ }\phi_{1}^{2}q_{1}^{2}q_{2}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$	0.9503	1.1549	0.8228	[X:[1.4294, 1.6368, 1.3632, 1.5706], M:[0.8632, 0.8632], q:[0.4025, 0.195], qb:[0.1682, 0.2343], phi:[0.5]]	3*t^2.59 + t^2.79 + t^3. + 2*t^3.21 + t^3.88 + 2*t^4.09 + 2*t^4.29 + 2*t^4.5 + 3*t^4.71 + 3*t^4.91 + 6*t^5.18 + 3*t^5.38 + t^5.58 + 2*t^5.59 + 5*t^5.8 - 3*t^6. - t^4.5/y - t^6./y - t^4.5*y - t^6.*y	detail
58606	${}\phi_{1}^{4}$ + ${ }q_{1}\tilde{q}_{1}X_{1}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ + ${ }q_{1}\tilde{q}_{2}X_{3}$ + ${ }q_{2}\tilde{q}_{2}X_{4}$ + ${ }\phi_{1}^{2}q_{1}^{2}q_{2}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$	0.9475	1.1482	0.8252	[X:[1.3945, 1.6055, 1.3945, 1.6055], M:[0.8945, 0.8945], q:[0.4037, 0.1926], qb:[0.2018, 0.2018], phi:[0.5]]	4*t^2.68 + t^3. + 2*t^3.32 + t^3.87 + 4*t^4.18 + 2*t^4.5 + 6*t^4.82 + 10*t^5.37 + 2*t^5.68 + t^6. - t^4.5/y - t^6./y - t^4.5*y - t^6.*y	detail
58928	${}\phi_{1}^{4}$ + ${ }q_{1}\tilde{q}_{1}X_{1}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ + ${ }q_{1}\tilde{q}_{2}X_{3}$ + ${ }q_{2}\tilde{q}_{2}X_{4}$ + ${ }\phi_{1}^{2}q_{1}^{2}q_{2}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}^{3}\tilde{q}_{2}$	0.9385	1.1318	0.8293	[X:[1.408, 1.592, 1.408, 1.592], M:[0.908], q:[0.3947, 0.2107], qb:[0.1973, 0.1973], phi:[0.5]]	3*t^2.72 + t^3. + 3*t^3.28 + t^3.95 + 4*t^4.22 + 2*t^4.5 + 6*t^4.78 + 6*t^5.45 + t^5.72 + 2*t^6. - t^4.5/y - t^6./y - t^4.5*y - t^6.*y	detail
60047	${}\phi_{1}^{4}$ + ${ }q_{1}\tilde{q}_{1}X_{1}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ + ${ }q_{1}\tilde{q}_{2}X_{3}$ + ${ }q_{2}\tilde{q}_{2}X_{4}$ + ${ }\phi_{1}^{2}q_{1}^{2}q_{2}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}q_{2}^{2}\tilde{q}_{2}^{2}$	0.9319	1.1267	0.8272	[X:[1.5, 1.6159, 1.3841, 1.5], M:[0.8841], q:[0.372, 0.2561], qb:[0.128, 0.2439], phi:[0.5]]	2*t^2.65 + 4*t^3. + t^3.35 + 3*t^4.15 + 7*t^4.5 + 3*t^4.85 + 3*t^5.3 + 7*t^5.65 + 4*t^6. - t^4.5/y - t^6./y - t^4.5*y - t^6.*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
47896	SU3adj1nf2	${}\phi_{1}^{4}$ + ${ }q_{1}\tilde{q}_{1}X_{1}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ + ${ }q_{1}\tilde{q}_{2}X_{3}$ + ${ }q_{2}\tilde{q}_{2}X_{4}$ + ${ }\phi_{1}^{2}q_{1}^{2}q_{2}$	0.9308	1.1183	0.8323	[X:[1.4226, 1.5774, 1.4226, 1.5774], q:[0.3849, 0.2302], qb:[0.1925, 0.1925], phi:[0.5]]	2*t^2.768 + t^3. + 4*t^3.232 + t^4.036 + 4*t^4.268 + 2*t^4.5 + 6*t^4.732 + 3*t^5.536 + t^6. - t^4.5/y - t^6./y - t^4.5*y - t^6.*y	detail