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
5470	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{1}^{2}$	0.5885	0.7604	0.774	[M:[1.0, 0.75, 1.0625, 0.6875, 1.3125, 0.6875, 0.9375], q:[0.625, 0.375], qb:[0.3125, 0.9375], phi:[0.4375]]	[M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]]	0	{a: 4821/8192, c: 6229/8192, M1: 1, M2: 3/4, M3: 17/16, M4: 11/16, M5: 21/16, M6: 11/16, M7: 15/16, q1: 5/8, q2: 3/8, qb1: 5/16, qb2: 15/16, phi1: 7/16}

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{4}$, ${ }M_{6}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{7}$, ${ }M_{1}$, ${ }M_{3}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{4}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{6}$, ${ }M_{2}M_{7}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{7}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}q_{2}^{2}$	${}\phi_{1}^{3}q_{2}\tilde{q}_{1}$	0	2*t^2.063 + t^2.25 + t^2.625 + t^2.813 + t^3. + t^3.188 + t^3.375 + t^3.563 + 3*t^4.125 + 2*t^4.313 + t^4.5 + 3*t^4.688 + 3*t^4.875 + 3*t^5.063 + 4*t^5.25 + 3*t^5.438 + 4*t^5.625 + 2*t^5.813 + 5*t^6.188 + 4*t^6.375 + 2*t^6.563 + 4*t^6.75 + 5*t^6.938 + 5*t^7.125 + 6*t^7.313 + 6*t^7.5 + 7*t^7.688 + 6*t^7.875 + t^8.063 + 7*t^8.25 + 6*t^8.438 + 2*t^8.625 + 4*t^8.813 - t^4.313/y - t^6.375/y - t^6.563/y - t^6.938/y + t^7.125/y + (2*t^7.313)/y + (3*t^7.688)/y + (3*t^7.875)/y + (4*t^8.063)/y + (4*t^8.25)/y + (3*t^8.438)/y + (3*t^8.625)/y + (2*t^8.813)/y - t^4.313*y - t^6.375*y - t^6.563*y - t^6.938*y + t^7.125*y + 2*t^7.313*y + 3*t^7.688*y + 3*t^7.875*y + 4*t^8.063*y + 4*t^8.25*y + 3*t^8.438*y + 3*t^8.625*y + 2*t^8.813*y	2*t^2.063 + t^2.25 + t^2.625 + t^2.813 + t^3. + t^3.188 + t^3.375 + t^3.563 + 3*t^4.125 + 2*t^4.313 + t^4.5 + 3*t^4.688 + 3*t^4.875 + 3*t^5.063 + 4*t^5.25 + 3*t^5.438 + 4*t^5.625 + 2*t^5.813 + 5*t^6.188 + 4*t^6.375 + 2*t^6.563 + 4*t^6.75 + 5*t^6.938 + 5*t^7.125 + 6*t^7.313 + 6*t^7.5 + 7*t^7.688 + 6*t^7.875 + t^8.063 + 7*t^8.25 + 6*t^8.438 + 2*t^8.625 + 4*t^8.813 - t^4.313/y - t^6.375/y - t^6.563/y - t^6.938/y + t^7.125/y + (2*t^7.313)/y + (3*t^7.688)/y + (3*t^7.875)/y + (4*t^8.063)/y + (4*t^8.25)/y + (3*t^8.438)/y + (3*t^8.625)/y + (2*t^8.813)/y - t^4.313*y - t^6.375*y - t^6.563*y - t^6.938*y + t^7.125*y + 2*t^7.313*y + 3*t^7.688*y + 3*t^7.875*y + 4*t^8.063*y + 4*t^8.25*y + 3*t^8.438*y + 3*t^8.625*y + 2*t^8.813*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
6920	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{1}^{2}$ + ${ }M_{3}M_{8}$	0.5943	0.7701	0.7717	[M:[1.0, 0.75, 1.0625, 0.6875, 1.3125, 0.6875, 0.9375, 0.9375], q:[0.625, 0.375], qb:[0.3125, 0.9375], phi:[0.4375]]	2*t^2.063 + t^2.25 + t^2.625 + 2*t^2.813 + t^3. + t^3.375 + t^3.563 + 3*t^4.125 + 2*t^4.313 + t^4.5 + 3*t^4.688 + 5*t^4.875 + 4*t^5.063 + 2*t^5.25 + 3*t^5.438 + 6*t^5.625 + 2*t^5.813 - t^6. - t^4.313/y - t^4.313*y	detail	{a: 77895/131072, c: 100935/131072, M1: 1, M2: 3/4, M3: 17/16, M4: 11/16, M5: 21/16, M6: 11/16, M7: 15/16, M8: 15/16, q1: 5/8, q2: 3/8, qb1: 5/16, qb2: 15/16, phi1: 7/16}
6919	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{1}^{2}$ + ${ }M_{7}M_{8}$	0.5827	0.7507	0.7762	[M:[1.0, 0.75, 1.0625, 0.6875, 1.3125, 0.6875, 0.9375, 1.0625], q:[0.625, 0.375], qb:[0.3125, 0.9375], phi:[0.4375]]	2*t^2.063 + t^2.25 + t^2.625 + t^3. + 2*t^3.188 + t^3.375 + t^3.563 + 3*t^4.125 + 2*t^4.313 + t^4.5 + 3*t^4.688 + t^4.875 + 2*t^5.063 + 6*t^5.25 + 3*t^5.438 + 3*t^5.625 + 2*t^5.813 - t^6. - t^4.313/y - t^4.313*y	detail	{a: 76377/131072, c: 98393/131072, M1: 1, M2: 3/4, M3: 17/16, M4: 11/16, M5: 21/16, M6: 11/16, M7: 15/16, M8: 17/16, q1: 5/8, q2: 3/8, qb1: 5/16, qb2: 15/16, phi1: 7/16}
6921	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{1}^{2}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$	0.5997	0.7794	0.7694	[M:[1.0, 0.75, 1.0625, 0.6875, 1.3125, 0.6875, 0.9375, 0.875], q:[0.625, 0.375], qb:[0.3125, 0.9375], phi:[0.4375]]	2*t^2.063 + t^2.25 + 2*t^2.625 + t^2.813 + t^3. + t^3.188 + t^3.563 + 3*t^4.125 + 2*t^4.313 + t^4.5 + 5*t^4.688 + 4*t^4.875 + 3*t^5.063 + 6*t^5.25 + 2*t^5.438 + 4*t^5.625 + 3*t^5.813 - t^6. - t^4.313/y - t^4.313*y	detail	{a: 9825/16384, c: 12769/16384, M1: 1, M2: 3/4, M3: 17/16, M4: 11/16, M5: 21/16, M6: 11/16, M7: 15/16, M8: 7/8, q1: 5/8, q2: 3/8, qb1: 5/16, qb2: 15/16, phi1: 7/16}

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
3882	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{7}$	0.6087	0.7778	0.7826	[M:[0.8222, 0.8834, 0.9847, 0.7208, 1.2792, 0.7208, 1.0153], q:[0.7361, 0.4417], qb:[0.2792, 0.8375], phi:[0.4264]]	2*t^2.163 + t^2.467 + t^2.558 + t^2.65 + t^2.954 + t^3.046 + t^3.442 + t^3.929 + 3*t^4.325 + 2*t^4.629 + 3*t^4.721 + 2*t^4.813 + t^4.933 + t^5.025 + 4*t^5.117 + 3*t^5.208 + t^5.3 + t^5.421 + t^5.512 + 3*t^5.604 + t^5.696 + t^5.908 - t^6. - t^4.279/y - t^4.279*y	detail