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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

#	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
2442	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{7}q_{2}\tilde{q}_{1}$	0.7362	0.9263	0.7947	[M:[1.0, 0.9151, 1.0849, 0.8303, 0.9151, 0.6909, 0.9151], q:[0.4151, 0.5849], qb:[0.5, 0.5849], phi:[0.4788]]	[M:[[0], [-4], [4], [-8], [-4], [9], [-4]], q:[[-4], [4]], qb:[[0], [4]], phi:[[-1]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{6}$, ${ }M_{4}$, ${ }M_{2}$, ${ }M_{5}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}M_{5}$, ${ }M_{4}M_{7}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{2}M_{7}$, ${ }M_{5}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}M_{5}$, ${ }M_{1}M_{7}$, ${ }\phi_{1}^{4}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{7}q_{1}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$	${}q_{1}^{2}\tilde{q}_{2}^{2}$	-3	t^2.073 + t^2.491 + 3*t^2.745 + t^2.873 + 2*t^3. + t^4.146 + t^4.182 + 3*t^4.436 + t^4.564 + 2*t^4.691 + 3*t^4.818 + 4*t^4.945 + t^4.982 + 2*t^5.073 + 3*t^5.236 + t^5.364 + 6*t^5.491 + 3*t^5.618 + 4*t^5.745 + 2*t^5.873 - 3*t^6. + t^6.218 - 3*t^6.255 + t^6.509 + t^6.636 + t^6.673 + 2*t^6.764 + 3*t^6.891 + 4*t^6.927 + 4*t^7.018 + t^7.055 + 2*t^7.146 + 8*t^7.182 + 5*t^7.309 + 8*t^7.436 + t^7.473 + 5*t^7.564 + 8*t^7.691 + 3*t^7.727 + 5*t^7.818 + t^7.854 + 3*t^7.945 + 6*t^7.982 - 6*t^8.073 + 3*t^8.109 - 2*t^8.2 + 8*t^8.236 + t^8.291 - 3*t^8.327 + 6*t^8.364 + 2*t^8.491 + t^8.582 + 5*t^8.618 + t^8.709 - 11*t^8.745 + 2*t^8.836 + 3*t^8.964 - t^4.436/y - t^6.509/y - t^6.927/y - (2*t^7.182)/y - t^7.309/y + (2*t^7.564)/y + (2*t^7.691)/y + (3*t^7.818)/y + (2*t^7.945)/y + (2*t^8.073)/y + (3*t^8.236)/y + (2*t^8.364)/y + (5*t^8.491)/y - t^8.582/y + (3*t^8.618)/y + (6*t^8.745)/y + (2*t^8.873)/y - t^4.436*y - t^6.509*y - t^6.927*y - 2*t^7.182*y - t^7.309*y + 2*t^7.564*y + 2*t^7.691*y + 3*t^7.818*y + 2*t^7.945*y + 2*t^8.073*y + 3*t^8.236*y + 2*t^8.364*y + 5*t^8.491*y - t^8.582*y + 3*t^8.618*y + 6*t^8.745*y + 2*t^8.873*y	g1^9*t^2.073 + t^2.491/g1^8 + (3*t^2.745)/g1^4 + t^2.873/g1^2 + 2*t^3. + g1^18*t^4.146 + t^4.182/g1^5 + (3*t^4.436)/g1 + g1*t^4.564 + 2*g1^3*t^4.691 + 3*g1^5*t^4.818 + 4*g1^7*t^4.945 + t^4.982/g1^16 + 2*g1^9*t^5.073 + (3*t^5.236)/g1^12 + t^5.364/g1^10 + (6*t^5.491)/g1^8 + (3*t^5.618)/g1^6 + (4*t^5.745)/g1^4 + (2*t^5.873)/g1^2 - 3*t^6. + g1^27*t^6.218 - 3*g1^4*t^6.255 + g1^8*t^6.509 + g1^10*t^6.636 + t^6.673/g1^13 + 2*g1^12*t^6.764 + 3*g1^14*t^6.891 + (4*t^6.927)/g1^9 + 4*g1^16*t^7.018 + t^7.055/g1^7 + 2*g1^18*t^7.146 + (8*t^7.182)/g1^5 + (5*t^7.309)/g1^3 + (8*t^7.436)/g1 + t^7.473/g1^24 + 5*g1*t^7.564 + 8*g1^3*t^7.691 + (3*t^7.727)/g1^20 + 5*g1^5*t^7.818 + t^7.854/g1^18 + 3*g1^7*t^7.945 + (6*t^7.982)/g1^16 - 6*g1^9*t^8.073 + (3*t^8.109)/g1^14 - 2*g1^11*t^8.2 + (8*t^8.236)/g1^12 + g1^36*t^8.291 - 3*g1^13*t^8.327 + (6*t^8.364)/g1^10 + (2*t^8.491)/g1^8 + g1^17*t^8.582 + (5*t^8.618)/g1^6 + g1^19*t^8.709 - (11*t^8.745)/g1^4 + 2*g1^21*t^8.836 + 3*g1^23*t^8.964 - t^4.436/(g1*y) - (g1^8*t^6.509)/y - t^6.927/(g1^9*y) - (2*t^7.182)/(g1^5*y) - t^7.309/(g1^3*y) + (2*g1*t^7.564)/y + (2*g1^3*t^7.691)/y + (3*g1^5*t^7.818)/y + (2*g1^7*t^7.945)/y + (2*g1^9*t^8.073)/y + (3*t^8.236)/(g1^12*y) + (2*t^8.364)/(g1^10*y) + (5*t^8.491)/(g1^8*y) - (g1^17*t^8.582)/y + (3*t^8.618)/(g1^6*y) + (6*t^8.745)/(g1^4*y) + (2*t^8.873)/(g1^2*y) - (t^4.436*y)/g1 - g1^8*t^6.509*y - (t^6.927*y)/g1^9 - (2*t^7.182*y)/g1^5 - (t^7.309*y)/g1^3 + 2*g1*t^7.564*y + 2*g1^3*t^7.691*y + 3*g1^5*t^7.818*y + 2*g1^7*t^7.945*y + 2*g1^9*t^8.073*y + (3*t^8.236*y)/g1^12 + (2*t^8.364*y)/g1^10 + (5*t^8.491*y)/g1^8 - g1^17*t^8.582*y + (3*t^8.618*y)/g1^6 + (6*t^8.745*y)/g1^4 + (2*t^8.873*y)/g1^2

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

#	Superpotential	Central Charge $a$	Central Charge $c$	Ratio $a/c$	$R$-charges	Superconformal Index	More Info.	Rational
4482	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{7}q_{2}\tilde{q}_{1}$ + ${ }M_{6}^{2}$ + ${ }M_{4}X_{1}$	0.6366	0.8032	0.7925	[X:[1.4444], M:[1.0, 0.7778, 1.2222, 0.5556, 0.7778, 1.0, 0.7778], q:[0.2778, 0.7222], qb:[0.5, 0.7222], phi:[0.4444]]	3*t^2.333 + t^2.667 + 3*t^3. + t^3.667 + 4*t^4.333 + 4*t^4.667 + 5*t^5. + 7*t^5.333 + 6*t^5.667 + t^6. - t^4.333/y - t^4.333*y	detail	{a: 275/432, c: 347/432, X1: 13/9, M1: 1, M2: 7/9, M3: 11/9, M4: 5/9, M5: 7/9, M6: 1, M7: 7/9, q1: 5/18, q2: 13/18, qb1: 1/2, qb2: 13/18, phi1: 4/9}

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

#	Theory	Superpotential	Central Charge $a$	Central Charge $c$	Ratio $a/c$	$R$-charges	Superconformal Index	More Info.	Rational
No data available in table

Equivalent Fixed Points from the Same Seed Theory

Below is a list of equivalent fixed points from the same seed theories.

Search in the table:

7102550All entries per page

id	Theory	Superpotential	Central Charge $a$	Central Charge $c$	Ratio $a/c$	$R$-charges	More Info.	Rational

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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

#	Theory	Superpotential	Central Charge $a$	Central Charge $c$	Ratio $a/c$	$R$-charges	Superconformal Index	More Info.	Rational
1376	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$	0.7288	0.914	0.7974	[M:[1.0, 0.925, 1.075, 0.85, 0.925, 0.6688], q:[0.425, 0.575], qb:[0.5, 0.575], phi:[0.4812]]	t^2.006 + t^2.55 + 2*t^2.775 + t^2.887 + 2*t^3. + t^3.225 + t^4.013 + t^4.219 + 3*t^4.444 + t^4.556 + 2*t^4.669 + 2*t^4.781 + 4*t^4.894 + 2*t^5.006 + t^5.1 + t^5.231 + 2*t^5.325 + t^5.437 + 3*t^5.55 + 2*t^5.662 + 3*t^5.775 + 2*t^5.887 - t^6. - t^4.444/y - t^4.444*y	detail