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 =

Search for theories with rational R-charges and central 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
47171	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}^{2}$	0.5613	0.6943	0.8084	[M:[1.0572, 0.9428, 0.714, 1.0572, 1.1716], q:[0.6213, 0.3215], qb:[0.4359, 0.9645], phi:[0.4142]]	[M:[[4], [-4], [-20], [4], [12]], q:[[-9], [5]], qb:[[13], [15]], phi:[[-6]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{1}$, ${ }M_{4}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{5}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}M_{4}$, ${ }M_{3}\phi_{1}q_{2}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}^{2}$	${}M_{3}\phi_{1}\tilde{q}_{1}^{2}$	-2	t^2.142 + t^2.272 + 3*t^3.172 + 2*t^3.515 + t^3.858 + t^4.201 + t^4.284 + t^4.414 + t^4.544 + t^4.757 + 2*t^5.314 + 3*t^5.444 + 2*t^5.787 - 2*t^6. + t^6.13 + 4*t^6.343 + t^6.426 + t^6.473 + 4*t^6.686 + t^6.816 - t^6.899 + 4*t^7.029 - 2*t^7.243 + 3*t^7.373 + 2*t^7.456 - t^7.586 + 5*t^7.716 + 3*t^8.059 - 2*t^8.142 - 2*t^8.272 + 2*t^8.402 + 2*t^8.485 + t^8.568 + 3*t^8.615 + t^8.745 - 3*t^8.828 + 4*t^8.958 - t^4.243/y - t^6.385/y + t^7.071/y + t^8.101/y + (3*t^8.314)/y + (3*t^8.444)/y - t^8.527/y + (2*t^8.657)/y + (2*t^8.787)/y - t^4.243*y - t^6.385*y + t^7.071*y + t^8.101*y + 3*t^8.314*y + 3*t^8.444*y - t^8.527*y + 2*t^8.657*y + 2*t^8.787*y	t^2.142/g1^20 + g1^18*t^2.272 + 3*g1^4*t^3.172 + 2*g1^12*t^3.515 + g1^20*t^3.858 + g1^28*t^4.201 + t^4.284/g1^40 + t^4.414/g1^2 + g1^36*t^4.544 + g1^6*t^4.757 + (2*t^5.314)/g1^16 + 3*g1^22*t^5.444 + 2*g1^30*t^5.787 - 2*t^6. + g1^38*t^6.13 + 4*g1^8*t^6.343 + t^6.426/g1^60 + g1^46*t^6.473 + 4*g1^16*t^6.686 + g1^54*t^6.816 - t^6.899/g1^14 + 4*g1^24*t^7.029 - (2*t^7.243)/g1^6 + 3*g1^32*t^7.373 + (2*t^7.456)/g1^36 - g1^2*t^7.586 + 5*g1^40*t^7.716 + 3*g1^48*t^8.059 - (2*t^8.142)/g1^20 - 2*g1^18*t^8.272 + 2*g1^56*t^8.402 + (2*t^8.485)/g1^12 + t^8.568/g1^80 + 3*g1^26*t^8.615 + g1^64*t^8.745 - (3*t^8.828)/g1^4 + 4*g1^34*t^8.958 - t^4.243/(g1^6*y) - t^6.385/(g1^26*y) + t^7.071/(g1^10*y) + (g1^14*t^8.101)/y + (3*t^8.314)/(g1^16*y) + (3*g1^22*t^8.444)/y - t^8.527/(g1^46*y) + (2*t^8.657)/(g1^8*y) + (2*g1^30*t^8.787)/y - (t^4.243*y)/g1^6 - (t^6.385*y)/g1^26 + (t^7.071*y)/g1^10 + g1^14*t^8.101*y + (3*t^8.314*y)/g1^16 + 3*g1^22*t^8.444*y - (t^8.527*y)/g1^46 + (2*t^8.657*y)/g1^8 + 2*g1^30*t^8.787*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

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
46727	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{4}$	0.5764	0.7192	0.8014	[M:[1.0613, 0.9387, 0.6935, 1.0613], q:[0.6121, 0.3266], qb:[0.4492, 0.9798], phi:[0.4081]]	t^2.081 + t^2.327 + t^2.448 + 3*t^3.184 + t^3.552 + t^3.919 + t^4.161 + t^4.287 + t^4.408 + t^4.529 + t^4.655 + 2*t^4.776 + t^4.897 + 2*t^5.264 + 3*t^5.511 + 2*t^5.632 + t^5.879 - t^6. - t^4.224/y - t^4.224*y	detail